{"text":"Question: Simplify (q*q\/(q*q**(7\/2)*q))**(1\/18)\/(q\/(q\/(q\/(q\/q**(-1\/22)))*q)*q**10) assuming q is positive.\nAnswer: q**(-3623\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -5, 3432, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be (249808\/(-312))\/((-8)\/6 - 0). Let j = d - 601. What is the closest to j in -6, -2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 225 and 120?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 - (-1 - (4 - 2)). Suppose -2*j = -v*j. Suppose -10 = -2*w - 0*w - 5*c, j = 3*w + 3*c - 24. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.08? (a) 2 (b) -0.4 (c) 16\/3 (d) 3\/7 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 30.2 and -181841.6333?\nAnswer: 181871.8333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/5)\/(-6)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10 - -5. Let w = c - 16. Let i = 3.2 + 0.8. Sort -2\/7, w, i.\nAnswer: w, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 11 - ((5 - 3) + -1 - 27)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.402 + -4.402. Which is the smallest value? (a) u (b) 0.1 (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -3*u. Let k(z) = z**2 - 2*z - 336. Give k(l(f)).\nAnswer: 9*f**2 + 6*f - 336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -8*b**3 + 211*b**2 + 200*b - 378. Let h(t) = -22*t**3 + 632*t**2 + 600*t - 1140. Let n(a) = 5*h(a) - 14*s(a). Solve n(j) = 0.\nAnswer: -102, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes after 3:53 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1542 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 m be 2*(3 - 4)*-1. Suppose -4*p + 2*w + 48 = 0, 5*w - 36 = -m*p + 3*w. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 + 10.01?\nAnswer: 10.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fpkkpkrrzfefef. Give prob of picking 1 f, 2 k, and 1 p.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y**2 - 6*y**2 - 7*y**2)*(-4 + 11 - 5).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the third derivative of -m**7\/420 + m**6\/60 + m**5\/120 - m**4\/12 + 2*m**2 - 427. Let o(j) = 0. Calculate j.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1707253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - o + o)*(-2 + 2 + 1) + 2 + 10*o - 2.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 32443 by -238.\nAnswer: -32443\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -3*p**2\/5 + 3219*p\/5 - 53856\/5 = 0. What is p?\nAnswer: 17, 1056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 630 - 303. What are the prime factors of j?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1, -27 in descending order.\nAnswer: 2, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 83219 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:44 PM and 12:43 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**3)**(1\/6))**42\/(((w\/w**(2\/9))\/w)\/(w**4\/w)*(w**(-1))**(6\/5)) assuming w is positive.\nAnswer: w**(1144\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eeqoefepeefeffse. Give prob of picking 1 q, 2 f, and 1 p.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:46 PM and 8:33 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10346 and 33278?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vgvvtrtrg. Give prob of sequence rtr.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (22*g**3 + 22*g**2 - 22*g**2)*(-55*g - 98*g + 15*g) in the form d + q*g + x*g**4 + b*g**2 + i*g**3 and give x.\nAnswer: -3036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 - 10*r**2 + 20*r + 16. Let k be 7*1\/(6 - 5). Let x be c(k). Solve -3*o + 0*w = -w + x, -o + 2 = -2*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the second derivative of 3*s**5\/130 - s**4\/39 - s**3\/13 + 2*s**2\/13 - 3*s. Determine t, given that p(t) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 59 - 43. Suppose 0 = 18*o - r*o - 22. Calculate the lowest common multiple of 2 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-2\/13)\/(t\/t**(-3\/2))*(t*t*t*t**(1\/3))**9 assuming t is positive.\nAnswer: t**(711\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.983 - -0.017. Put -0.5, 5, k, -0.1 in descending order.\nAnswer: 5, k, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 5*s - 14. Suppose -7 = -s*o + 3. Solve v = -o*q - 12, -4*v - v = -4*q - 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - -1b43?\nAnswer: 1b41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 49 + -61. Let f be v\/(-3)*(-4)\/(-8). Solve -f = -b - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 4*u**3 - 4*u**2 - 11*u - 9. Let s(v) = -2*v**3 + 2*v**2 + 6*v + 5. Give -6*l(b) - 11*s(b).\nAnswer: -2*b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 856, 858, 860?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*n - 15*n + 20*n - 16*n - 10*n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1416433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 + -16. Suppose 4*m + i = 6. Is (28\/4)\/(m\/23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 45, 621, 2279, 5559, 11001, 19145, 30531, 45699?\n\"Answer: 90*g**3 + g**2 - 57*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-74)\/(-10)*(-120)\/18*48\/64\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 44*z - 15 wrt z?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -5*y - 2. Let j(x) be the second derivative of -3*x**3\/2 - 2*x**2 + x. What is 6*j(m) - 11*t(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**9)**(2\/97)\/(m**(-6)*m**(-2\/9)) assuming m is positive.\nAnswer: m**(5594\/873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the second derivative of -b**7\/315 - b**6\/45 - b**5\/90 + b**4\/6 + 82*b**2 - 262*b. Let s(j) be the first derivative of u(j). Solve s(z) = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -18, 3, 10, -63, -17 in decreasing order.\nAnswer: 10, 3, -17, -18, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 313672391 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -3*i + 5. Let p(m) = 3*m - 5. Let g(o) = -5*p(o) - 4*z(o). Let j be g(-6). Let y = 36 - j. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4007847 + 4007846.1920758. Let g = l - -0.808. What is g rounded to six dps?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 247 a factor of 950950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eiimcmeeiiiiemmeem. What is prob of picking 2 i?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2 (b) 26\/5 (c) -0.1751 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2866 is divided by 115.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, c: 1, g: 1, u: 1, b: 4}. What is prob of picking 1 u and 2 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 38.58685ml to litres.\nAnswer: 0.03858685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**4 - 6*h**4 + 2*h**4)*(235 - 149 + 353 + 362).\nAnswer: -1602*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/(-6))\/(6\/(-9)). Let o = 0 - u. Let h be (1 - (0 + -2))\/o. Solve -7 = -h*m - 2*z, 0 = 6*m - 2*m + 5*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2495334 and 42.\nAnswer: 17467338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/18564 and 19\/1714362?\nAnswer: 408018156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 + 8*y**2 + 4*y - 20. Suppose -25*b = o - 24*b + 10, 2*o - 1 = 5*b. Give j(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 5*a - 5, -30 + 15 = -5*a + 5*k. Suppose -a*r - 5*z = -5*r + 242, -z = 2*r - 170. What is the highest common divisor of 36 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 27 + -15. Suppose v = 3*k - 0*k. Solve -18 = -k*n - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 122 + -119.38. Let i = t + -9.02. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (134\/(-268))\/((-1)\/4). Solve w*k + 229 = 241 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -27*t**3 + 420*t**2 - 213*t - 180 = 0. What is t?\nAnswer: -4\/9, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 + (7 - 2 - 4) - -5. Suppose -p = 3*u - 830, 10*u - a*u = 3*p - 2451. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**3 - 2*g + 2. Let r be z(-2). Calculate the lowest common multiple of (-19 + 4 + 4)*r and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fkf when three letters picked without replacement from {f: 3, c: 1, d: 3, k: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (138 - 153) + (-5 + 5)\/(2 + -4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2748\/319 + -234\/29. What is the biggest value in a, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 2\/13 (b) -5 (c) 2 (d) -29.54 (e) -4.4 (f) -0.5 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*v - 2*v**2 - 37*v - 35*v + 33*v - 13*v.\nAnswer: -2*v**2 - 72*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 600 and 1274484.\nAnswer: 63724200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*y + 6*y + y**2 - 4*y + (5 - 4 + 2)*(2*y - 2*y**2 - 2*y).\nAnswer: -5*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes before 8:33 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.1 and -1115.5?\nAnswer: 111.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.505 - -1.615. Let w = -22.4 - -22. Which is the nearest to -0.1? (a) w (b) s (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4.184 and 140.9.\nAnswer: 589.5256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15121 + 17175. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) be the second derivative of -11*m**5\/5 - 4*m**4\/3 - 827*m**3\/2 + m**2\/2 - m + 3. Find the second derivative of x(i) wrt i.\nAnswer: -264*i - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1395 divided by 11495.\nAnswer: 279\/2299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2284913.\nAnswer: 2284913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-96)\/36)\/(24\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 415442897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be 8\/(-24)*(-18)\/(-10). Put -5, g, -1 in decreasing order.\nAnswer: g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 74057.22ns in hours?\nAnswer: 0.00000002057145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 - 6*i**2 - 2*i - 9. Let j be k(-6). What is the remainder when 47\/2*(5 - j) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 114 - 96. Suppose -4*g - 5*g = i. Let k(c) = 5*c + 3. What is k(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 6 - 4)*(0 - 2 + 4)*(-38*u - 42*u + 6*u) as t*u + m and give t.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) be the first derivative of -20*l**3\/3 - 23*l**2\/2 - 17*l + 1. Let w(v) = -7*v**2 - 8*v - 6. Let t(p) = -6*d(p) + 17*w(p). Factor t(b).\nAnswer: b*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -4*y**2 - y - 3. Let r(v) = -16*v**2 - 4*v - 12. Give -9*a(i) + 2*r(i).\nAnswer: 4*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1364 rounded to three dps?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 182 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 11 = -5*i. Find the first derivative of 1 - 7 - w**2 - w**2 + i wrt w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 174150 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in -3, -1\/1394, -10\/29, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**3 - 19*y**2 - 9*y - 382. Calculate b(20).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6\/(-24) + 73\/4 - 0 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j**2 + 9873*j + 19742 = 0. What is j?\nAnswer: -9871, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the first derivative of 3*h**4\/16 + 15*h**3 + 171*h**2\/2 + 168*h - 1602. Factor y(u).\nAnswer: 3*(u + 2)**2*(u + 56)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 175.2996 micrometers in centimeters?\nAnswer: 0.01752996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 277846.\nAnswer: 2, 138923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 - 13*j**2 - 13*j - 9. Let d be n(-12). Let a(c) be the second derivative of -1\/9*c**2 + c + 0 + 0*c**d + 1\/54*c**4. Factor a(y).\nAnswer: 2*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*g**2 - 9432*g - 16118 wrt g?\nAnswer: 4*g - 9432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 175 minutes before 8:11 PM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 3:38 AM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -1024*s**3 + 1131136*s**2 + 424284*s + 39780.\nAnswer: -4*(s - 1105)*(16*s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 - 4. Let t(u) = -u**3 - 9*u**2 + u - 6. Let l be t(-9). Let v be ((-20)\/25)\/(6\/l). What is the nearest to v in s, -3, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.02 times 1972?\nAnswer: 39.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-2 + 1 + 3)*(n - n + 2*n) + n + 1 - 1)*(-49*n + 49*n + n**4 + 6).\nAnswer: 5*n**5 + 30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 2*l = -18. Let y be (-603 - -3)*200\/l. Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 145 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-100)\/40*((90117\/(-310))\/57)\/(9\/(-4))\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46*n**3 - 114*n**3 + 44*n**3.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 AM and 11:06 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-23*b + 41*b - 19*b - 7)*(-204*b**2 + 204*b**2 + 143*b**3) in the form u*b**3 + q*b**4 + y*b + z*b**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11571, -26062, -40553, -55044, -69535?\nAnswer: -84026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7304667 at most as big as 7304667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 * 0.6806462.\nAnswer: 0.13612924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2898 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -881043 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 333308113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -239 - -239. Suppose 4*u + 0*u - 27164 = z. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/16, -0.1, 6, -5, -36045?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put together 112.3551510493 and 0.4.\nAnswer: 112.7551510493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 481 minutes after 9:31 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 193392 by 32232.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i - 2, 18*y - 13*y + 2*i - 29 = 0. Solve -1 = -4*m - 3*d - 2, 0 = y*m - 3*d + 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 - -193. Let p(b) = b**2 - b + 4. Let g be p(-6). Suppose 4*u - x + g = 0. Calculate the remainder when u is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 - 0)\/((-3)\/3). Let u be t\/((-30)\/16 - -2). Suppose -u = -2*p + 2. Solve -8 = -y - p*k, 3*y + y + 5*k = 17 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 0*k - 38 = -k, -l + 5*k + 30 = 0. Let c be 4\/3*(-6)\/(-4). Let r = c + 1. Solve 0 = 2*y, l = 4*b - y + r*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 * -121\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -27*z. Let i(a) = 3*a**2 + 97*a - 50*a - 55*a - 4. Let q(l) = 7*l**2 - 18*l - 9. Let h(v) = -9*i(v) + 4*q(v). Give h(d(u)).\nAnswer: 729*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 120892411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z - z + 0*z)*(-3*z + 6*z - z) + (-17*z + 6*z + 10*z)*(0 - z + 0).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify m*m**(-18)*m**(20\/7) assuming m is positive.\nAnswer: m**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**3 - 4*d**3 + 4*d**3 - 1 - 2*d**3 + 1 + (-3*d**3 - 3*d**3 + 5*d**3)*(6 - 4 + 0).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(100)\/sqrt(5))**2 + -5).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3576 and 84?\nAnswer: 25032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -u + 21098, 3*u + 6*k - 3*k - 63294 = 0. What are the prime factors of u?\nAnswer: 2, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**3 + 21*c**2 - 26*c - 121. Suppose -2*m + 0*m - 5*d - 29 = 0, -7*m - 116 = 3*d. List the prime factors of o(m).\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5.7 - 9.5. Let q = i + 3.7. Which is smaller: q or 15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -146.2612466517 - -0.5\nAnswer: -145.7612466517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -17*k + 75. What is o(3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 203.99859 - 204. What is y rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 12*f = -1404. Let i = f + 115. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.06, 0.4, -1\/8, -3, 16, 199?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46*l + 264 = 48*l. Let r = 162 - l. What is the lowest common multiple of 4 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 6*y + 0*y - 167*y**2 + 179*y**2. Let s be d(3). Suppose 5*j + s = 571. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.07 - 0.23. Sort y, 2\/13, 1\/3 in descending order.\nAnswer: 1\/3, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 9*v**2 - 164*v + 35. Calculate g(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + -0.15. Let s = 5577\/5 + -1115. What is the third biggest value in s, -2\/11, d?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 d when four letters picked without replacement from {d: 2, m: 4, b: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8.4 + -8.5. What is the nearest to -2 in 0.4, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 301 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5187, 10369, 15551, 20733?\nAnswer: 25915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 9469 (base 13) to base 2\nAnswer: 101000000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = -3*k + 6766023 - 22448023. What is k rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven halves of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 8f8d + -b?\nAnswer: 8f82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2 + -7. Suppose 5*z + 203 = n - 102, -4*z = 4*n + 220. Let q be ((-48)\/z)\/((-6)\/(-5)). Which is the third smallest value? (a) q (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 8*r**2 - r - 1. Suppose 0 = 2*u - 8*u - 12. Let o be a(u). Calculate the remainder when 6\/o + (-108)\/(-11) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -18382 at most as big as -18428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + j = -20. What is the lowest common multiple of 10 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3345 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 36 + 210. Let o = z + -1481\/6. What is the second smallest value in o, 0.2, 3\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3408)\/6958)\/(138\/1449)\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 105*b + 70*b - 5*t = 725, b - t - 9 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-46)\/(-14) - 0 - 6\/21. Find the third derivative of -3*l**3 + 183*l**2 - 14*l**4 + z*l**3 - 187*l**2 wrt l.\nAnswer: -336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes before 9:30 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**4 + 68*b**3 - 1734*b**2 + 19652*b - 83521.\nAnswer: -(b - 17)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/(-4)*6\/15. Suppose 0 = -4*u - 5*i - 6, 0*i - 4 = 4*u + 4*i. Let r = u + y. Solve w = -j - r, 1 + 1 = -w + 3*j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(2\/25))**(-17\/6)\/(m*m**(-6\/7))**(-2\/35) assuming m is positive.\nAnswer: m**(-7477\/2450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 16\/253731459 and 23\/338308612?\nAnswer: 1014925836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 163779?\nAnswer: 3, 7, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -448 + 546. Let c = 382366.9834 - 382465. Let o = x + c. What is o rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 15666 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g\/(g**0*g*g))**(-5)\/(g\/g**(-2\/9))**(-13))**(-4))**(1\/11) assuming g is positive.\nAnswer: g**(-752\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/8 of a day?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 360.3896um in centimeters?\nAnswer: 0.03603896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the second derivative of 0*o**6 - 1\/6*o**4 - 1\/6*o**3 + 4*o + 3 - 1\/42*o**7 + 1\/20*o**5 + 0*o**2. Find the third derivative of z(h) wrt h.\nAnswer: -60*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*c = 42*c - 80. What is the common denominator of -93\/10 and 4\/c + (1887\/(-54))\/(-17)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -3*u + 8, -u - 40 = -5*k - 5*u. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2294865149.\nAnswer: 29, 193, 263, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 5 (b) -7 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 733213207.\nAnswer: 47, 15600281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 6*o**2 + o - 1. Let k be x(1). Let t(j) be the second derivative of 1\/75*j**k + 0*j**2 + 0*j**3 + 0 + 0*j**4 - j + 0*j**5. Factor t(i).\nAnswer: 2*i**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 4*z**3 + 1200*z**2 - 2448*z - 9664 = 0.\nAnswer: -302, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 216 - 233 - (-2 - -3 - 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is j in 110*j**3\/13 - 470356*j**2\/13 - 958264*j\/13 - 34224\/13 = 0?\nAnswer: -2, -2\/55, 4278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 PM and 3:00 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1758?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 m when three letters picked without replacement from vvvmmmv?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 9*p + 10*p = -16064, -26777 = -5*b - 2*p. Is 51 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -17*x**3 + 4*x**2. Let k(n) = 18*n**3 - 5*n**2. Calculate -4*k(o) - 5*w(o).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*t - 6838 - 330. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 0, 1, 3\/5, 48, -0.18, -170.\nAnswer: -170, -0.18, 0, 3\/5, 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = -4*i + 14. Let m = -52 + 45. Let n = 10 + m. Solve h - n = -i*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4*66\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7 + -11. Let v be 6\/(-4)*(-16 - z). Let r = -13 + v. Which is the second smallest value? (a) -2 (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 5, a: 1, t: 1, h: 5}. Give prob of picking 2 y.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 + 52 = 2*b. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 18050 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**3 - 16*x**2 + 15*x + 2. Let i be g(15). Suppose 0 = j + j - i. What is the tens digit of (-1122)\/(-12) + j\/(-2) + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s + 7*s + 2*s)*(s - 1 + 1)*((-s + 0 + 0)*(0*s - 3*s + s) + 3*s**2 - s**2 + 0*s**2 - 4*s + 4*s + 2*s**2).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*f**2 - 3*f**2 - 4*f**2 - 2*f**4 + (-f**2 + 0*f**2 - 2*f**2)*(-4*f**2 + 2*f**2 + 4*f**2).\nAnswer: -8*f**4 - 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -681, -1459, -2255, -3069?\n\"Answer: -9*u**2 - 751*u + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 3.9. Let f = -2 + 4. Let m be (2\/f + 1)*-2. Which is the nearest to w? (a) -0.3 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i + 17. Let k(t) = 879714*t. Give d(k(j)).\nAnswer: 879714*j + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3865596677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4840717 or 4840786?\nAnswer: 4840717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 29366, 0.4.\nAnswer: -1\/3, 0.4, 29366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (36\/(-42))\/1*1\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -123, 248, 1241, 3162, 6317, 11012, 17553?\nAnswer: 26246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be 135\/(-20) - (-8 - 1). Let o(w) be the first derivative of 7\/4*w**4 - 11\/30*w**5 - 6 - k*w**2 + 27\/2*w - 3*w**3 + 1\/36*w**6. Let o(s) = 0. Calculate s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-8)\/(-6)*4\/(-120) and 37\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1608\/(16\/2))\/(5*((-48)\/(-20))\/(-4))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3188 = -5*z - l + 3167, -4*z - 16 = l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 2165*a - 2*c + 26 = 2161*a, 56 = -10*a + 4*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5283 - 5273.661. Let x = 0.039 - j. Round x to zero dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1742398367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*k = 15*k + 140. Calculate the remainder when 54 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -99*m - 214 - 578 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**5*f**0)**(1\/3) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2 minus -8402?\nAnswer: 8400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 90 + 8*s + 6*s**3 - 44 - 46. Let p(l) = 2*l**3 + 3*l. Calculate -4*n(w) + 11*p(w).\nAnswer: -2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the second derivative of y**6\/360 + y**5\/24 - y**4\/6 - y**3\/6 + 4*y. Let q(j) be the second derivative of m(j). What are the prime factors of q(-7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-51*l + 28 + 85*l - 23*l)*(0 + 4 + 0).\nAnswer: 44*l + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.14616 - -0.14616. Suppose -2*v - 24 = 2. What is the closest to h in -3, v, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -5 + 0*v + 4 + 11*v. Let h(o) = 4*o + 0 + 0. Let s(y) = -3*b(y) + 8*h(y). What is s(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c - 5*s + 25 = 0, 4*c + 2*s - 1184 + 1252 = 0 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -407 - -416. Let k be 90\/s*(-4)\/(-25). Factor -k*h**3 + 0*h + 0 + 0*h**2 + 4\/5*h**5 - 4\/5*h**4.\nAnswer: 4*h**3*(h - 2)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is w in 76912576515*w**4 + 65964827385*w**3 - 10428314310*w**2 + 511219660*w - 8215160 = 0?\nAnswer: -1, 118\/2487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 75979835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -213 by 2.\nAnswer: -213\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 4 + 14 = -5*d, -4*d = -o + 5. Let b = 794 - 780. Solve -5*z - b - 11 = d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -5*d - 6. Let j(z) = -z - 1. Let v(g) = 11*j(g) - 2*l(g). Calculate v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 3*s**3 - 106*s**2 + 907*s - 46. Determine a(14).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -4*y**3 + 158*y**2 + 82*y - 73. Let v be m(40). Let n(x) = 2*x**2 - 5 - 8*x + 0*x**2 - x**2. Give n(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - z = 12950, -4*o + 134*z - 137*z + 51821 = 0. What are the prime factors of o?\nAnswer: 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 12000211121201 (base 3) to base 6\nAnswer: 133150114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1250*j*r*z**2 + 2*j*r*z - 1470*j*z**2 + j*z + 2*r*z**2 + 19 with respect to r.\nAnswer: 1250*j*z**2 + 2*j*z + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 26185 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y\/y**(2\/31))\/y**(2\/61))\/((y*y**(-21\/2))\/y)**(-32))**(-4\/27) assuming y is positive.\nAnswer: y**(2527112\/51057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 + 16 = d. Let l(f) = 8*f**2 + 2*f. Let v(r) = -7*r**2 - r. Let s(k) = d*v(k) - 5*l(k). Find n, given that s(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*r - 434 = 616. What is the remainder when r is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 500 is divided by 71.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18.76 - -24.6. Let g = b + -6. Let l = g - -0.1599993. Round l to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62 a factor of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1715560 divided by 2?\nAnswer: 857780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be (12\/8)\/((-6)\/16). Let h be (6\/b)\/(12\/(-64)). Suppose -3*d = d - h. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 0 (b) -6\/7 (c) 4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 19 = -5*z, 2*z - 7*w + 6*w = 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18 - 22) + (-2 - -12) + (0 - -47 - 2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 AM and 4:17 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1123*a**4 + 960?\nAnswer: -4492*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 65.276964 seconds in hours?\nAnswer: 0.01813249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(80)*-2*4 + -3 + -4 + sqrt(80) + -1 + 0)*3)**2.\nAnswer: 27072*sqrt(5) + 1591056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 23, 48, 95, 176, 303, 488, 743?\n\"Answer: 2*q**3 - q**2 + 14*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95 = 5*u - 0*u. Let a = u + 28. Calculate the smallest common multiple of 7 and a.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -760 + 760.1. Let g = 1.8 + 0.2. Let s be (-2)\/(-3) + (-35)\/84. Sort s, 1, c, g in increasing order.\nAnswer: c, s, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the second derivative of -r**4\/42 - 4*r**3\/21 - 3*r**2\/7 + 12*r. Factor g(v).\nAnswer: -2*(v + 1)*(v + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 y, and 1 w when three letters picked without replacement from yyxwxsx.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30)\/(sqrt(50)\/sqrt(5)) + (sqrt(3)*1 + -2 - sqrt(3)))*6.\nAnswer: -12 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*c + 221 - 305 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 8*x + 25. Let n = 11 + 7. What are the prime factors of r(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 12941*o - 116526. What is l(9)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 312.9475 seconds?\nAnswer: 312947500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and -23750?\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -2*o - 5. Suppose 0 = -2*f + 376 - 154. Let m = f + -114. Determine s(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (603 + -15)*(-2)\/(-4). What is the greatest common factor of 42 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 4*s**2 - 236*s + 199. Let x be i(58). Let p(n) = -n**2 + 3*n + 6. Let d be p(-5). Which is bigger: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 233344 (base 5) to base 12\nAnswer: 4b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 759.665 milligrams to kilograms.\nAnswer: 0.000759665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zjjjzmqpljlljljmp. What is prob of sequence llj?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4071.\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a38 (base 13) to base 7.\nAnswer: 14320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*y + 10, -3*y - 5479 = 4*b - 5406 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0079566925 rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 7*s - 16 = 0. Let f be (-2)\/s + 57\/12. Differentiate -4 + f*d**3 + 2 - 2*d**3 wrt d.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.314 * 0.9\nAnswer: 0.2826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the first derivative of -c**3\/3 + 39*c**2 - 1521*c + 2812. Factor d(f).\nAnswer: -(f - 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*h = 64*h - 6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1422 - 1337. What is the remainder when u is divided by (2\/3)\/((-6)\/(-261))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 57803, 115610, 173477, 231434, 289511, 347738, 406145, 464762?\n\"Answer: 5*c**3 + 57772*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 484581 or 484582?\nAnswer: 484582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -7345 - -7366. Let n(y) be the second derivative of i*y + 3*y**3 + 0*y**2 - 3\/20*y**5 + 0*y**4 + 0. What is the second derivative of n(v) wrt v?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p\/((p\/(p\/(p*p\/(p*p*p**8*p*p*p))*p))\/p))\/p)\/p*p*p\/p**(-8)*(p*p**(1\/10))\/p**4*(p\/p**8*p*p*p*p*p**(-7)\/p*p*p*p)**37 assuming p is positive.\nAnswer: p**(-2759\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.023 and -0.01?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 68 + 20. Let u = l - 10. Solve -5 = -u*y - 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 15*m**2 - 2*m + 4. Let a(z) = -7*z**2 + z - 2. Let h(r) = -5*a(r) - 2*g(r). Let w be h(-2). What is the units digit of w\/(-16) - (-22)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1001+648670108\nAnswer: 648671109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 5*k = 6, 2*c - 13*k = -17*k + 6. Solve -2*l = -6*l + v + 10, -c*v = l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -2*m - 14. What is the lowest common multiple of 16 and b(-12)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = 4 - 16. Suppose 0 = -n*a + 12 + 3. Suppose 34 = 3*g - 4*z, -35*g + 4*z = -40*g - 18. Solve 4*j - g*j = 8, -a*j = y - 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 302, -4, 0.036, 1?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**2 - 5*m - 53. Let f be d(18). Let r = f - 161. What is the remainder when 138 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:55 AM and 8:44 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 438751493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -21.34088, 2\/11, -1\/3, 0, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 89654074 to the nearest integer?\nAnswer: 9469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 2*d = 6, -3*o + 4 = -d - 4. Solve 5*w - 2*f - 17 = -4*f, -f + 7 = o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 6 = -k, 3*k - 57*r + 11 = -52*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -x**2 - x. Let p(n) = 24*n**2. Determine p(d(h)).\nAnswer: 24*h**4 + 48*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 70498 and 202.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(72) + -1 + 2)*-1)**2 - ((sqrt(144)*3 + sqrt(144) - sqrt(144))\/sqrt(6))\/(-4*sqrt(72)\/sqrt(6)).\nAnswer: 1203*sqrt(2)\/4 + 1825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**1)**(1\/42))**(-7) assuming m is positive.\nAnswer: m**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/2, 1\/4, 359, -0.4 in descending order.\nAnswer: 359, 1\/4, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14.37 - -13.97. What is the second smallest value in j, 4, -3, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + z + 4 = 0, -18 = -6*d + 2*d - 3*z. Let w(o) = -6*o**3 + 2*o**2 - 4*o**2 + 5 + 13*o**d - 3*o**2. Is w(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = -3*t + 13. Suppose -3*q - 211 = 68. What is the tens digit of 24\/t*q\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 - -3.05. Let o = -0.1 - n. Let h = 0 + o. What is h rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-3)\/(9\/(-12)))\/(-40*(-35)\/23800))\/(-2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 101883?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 - 38*w - w**4 + 16 - 2 + 39*w - 28*w**3 to r*w + q*w**3 + d + h*w**4 + m*w**2 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 + 21.0228. Round q to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11396490 to the nearest integer?\nAnswer: 3376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -57\/65 and 173\/7972146.\nAnswer: 39860730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -930 - -113. Let i = q - -837.72. Let s = i + -19.1. What is s rounded to one decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 851.7162um to millimeters.\nAnswer: 0.8517162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 123\/500 and 103\/24?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4084 = -2*s - 2*f, -4*f + 3*f + 6124 = 3*s. Let t = 3082 - s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -294 - -295. Is (-332803)\/(-8) - s - 84\/224 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.157 (b) -15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 344 = 4*w, -j - j + 171 = 3*w. What are the prime factors of j?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153.8237634 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 9:39 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 9\/10 of a decade?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4533 times 0.5?\nAnswer: 0.22665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5788066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -75148\/3285 + 50\/657. Suppose 2*d = -0 - 44. Is s at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 54 (base 15) to base 4.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-6)\/r*r**(-2\/5))\/(r**5\/(r**5*r))*r*r\/(r*r**5)*r**6*r**(1\/5)*r**(-1) assuming r is positive.\nAnswer: r**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 5:41 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 4:18 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(5\/6))**(2\/45) assuming s is positive.\nAnswer: s**(1\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in 178, 1430, 3524, 6466, 10262?\nAnswer: 14918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-3\/2)*o)**(2\/5))**(-2\/5) assuming o is positive.\nAnswer: o**(2\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 12894*r - 3161*r - 3620*r + 1313208 = -12126*r for r.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + 4*g - 34, 8*g - 8 = -m + 3*g. Let s(k) = k**2 - 23*k + 11. Let f be s(m). Suppose 0*h + 3*h + f = 2*r, -2*h + 5*r = 0. Sort 2, 3, -1, h.\nAnswer: h, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from wwwwawawwwawaawwww.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -99 - (5 - 92) - 21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*i - 7*i + 16*i + 25.\nAnswer: -5*i + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 465577716.\nAnswer: 2, 3, 29, 31, 103, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sum -2584.54 and -810.5.\nAnswer: -3395.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2 greater than 573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = 3*r - 2*r. Let t(v) = -v**3 + 399*v**2 - 386*v - 4105. What is the remainder when t(398) is divided by r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q - 12*m + 24 = 0, 2*q - 4*m + 338709 = 338697 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (104\/234)\/(2\/(-1)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 11a38 + -2a72a?\nAnswer: -187a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 284 divide 5671376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 291779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 8753\nAnswer: 4\/8753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = r - 2*b, -2*b - 3*b - 135 = 5*r. Let g = r + 56. What is the remainder when 114 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 537322983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-380*x + 19 - 19)*(1 - 1 - x)*(4 - 1 - 2).\nAnswer: 380*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 8a (base 11) to base 9.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/7152 and 103\/1849388.\nAnswer: 22192656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 44.6 - 46. Let a = 3.9 + v. Let l = 2.1 - a. Put 5, -1\/4, l in ascending order.\nAnswer: l, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Let j = -8484.98 + 8406. Let s = j - -79. Which is the smallest value? (a) -0.5 (b) s (c) 0.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -37214 or -37404?\nAnswer: -37404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 45\/((658\/(-20))\/7 - -5). Let i be (2 - 0)\/((-6)\/(-150)). What is the greatest common factor of v and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -2*s**2 - 1. Let l be (3 - (-4 - -7)) + -21 + 3. Let u(f) = 11*f**2 + 177*f - 41. Let n(t) = l*d(t) - 2*u(t). Factor n(a).\nAnswer: 2*(a - 25)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28900233 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/(1656\/759))\/((-55)\/170)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, k: 1, n: 7}. What is prob of picking 2 n?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 + 30. Solve -4*y = p + d, 3*p + 4*y = -p - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 940569099 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -17*h + 328. Let y be a(19). Suppose l - 5*i - 134 - 396 = 0, 0 = y*l + i - 2702. Calculate the highest common divisor of 40 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-47)\/6)\/(((-12)\/(-120))\/((-189)\/(-315)))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 98126811 and 15903?\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = 97*y - 93*y. Which is smaller: -28\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 - (7 + (12 - (14 - -11)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*y**2 - 1389*y + 1389*y - 4*y**2 to the form f + g*y + i*y**2 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 3*d**2 - 39*d + 63. Let a be v(11). Let o be 1\/(-4) + 27\/12. Let r be o*(14\/6 + -2). Put 2, a, r in ascending order.\nAnswer: a, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 322852056 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/110 and 17\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6 + (-1 - 3\/3). Suppose 1 = n*s - 7. Let t(f) = -f**3 + 2*f**2 + 1. Let w be t(s). Solve w = -4*h + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 46900 to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**1\/d)\/d)**28\/(d*(d\/(d\/(d\/d**(-1\/11))*d))\/d*d*d*d\/d**(-2\/9)))\/(((d\/(d\/(d**(-2\/5)*d))*d)\/d**(-6))\/(d**(2\/5)\/d)**34) assuming d is positive.\nAnswer: d**(-5872\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 11697809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.59 + 0.58999792. What is j rounded to 7 dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 PM and 11:39 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 674*t + 1543. Is l(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 269*h*p**3 + 411*h*p - 2*p**3 + 23*p**2 + 49*p - 4 wrt h?\nAnswer: 269*p**3 + 411*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -21896371 by 5.\nAnswer: -21896371\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275)\/(sqrt(5)*2*5)*-2)\/(4*sqrt(20) - sqrt(1080)\/sqrt(6)).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 8791260?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2206?\nAnswer: 2, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((6\/(-4))\/(-1))\/(249\/166).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 396\/2912 + (19 + -2 - (-79834)\/(-4654)).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u**(-9)\/u*u))\/u**(-12\/5) assuming u is positive.\nAnswer: u**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h + 2 - 4*h + 7*h)*(-20*h + 511 - 511) to the form o + u*h**2 + q*h and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = -191 - -200. What is the lowest common multiple of w and 0 + 5 + -2 - 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oie when three letters picked without replacement from tjijiieiikijjeeioieo?\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 71879 to the power of 1\/2, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1535, 1533, 1529, 1523, 1515, 1505?\n\"Answer: -b**2 + b + 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 c when three letters picked without replacement from kzvcdkqdzkzv.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -64 + -114. Let p = -122 - h. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -511 or -478?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 - 12 + 27 - 3)*(-q + 0*q - 3*q) to the form g + u*q and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3103.1 + -3103. Is u less than or equal to -12890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*w + 6*w + 2*w**2)*(-3*w**2 + 2*w**2 - w**2) + (-3*w**2 + 5*w**2 - w**2)*(-2*w**2 + 0*w**2 + 0*w**2).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 290, 1136, 2550, 4532, 7082, 10200, 13886?\n\"Answer: 284*r**2 - 6*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*c**2 - 22*c - 20*c - 13*c + 43 + 56*c.\nAnswer: 12*c**2 + c + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 102960588 by -6.\nAnswer: -17160098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be (2115\/(-564))\/((-4)\/80). Solve s + 11 = -73*b + o*b, 0 = -s - b - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 40*y - 2 - 21*y + 12*y. Let g(t) = 5*t - 19. Let o be g(4). Let m be j(o). Solve 5*s - 20 = 0, 0*s = 3*k + 5*s - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000002848866 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 89705?\nAnswer: 5, 7, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n = 3*n - 5*n. Solve 3*w + 6 = -4*b, -w - 2*b - 4 = -n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 425*f**3*v**3*y - f**3*v**2 + 6*v**2*y - 36*y wrt v?\nAnswer: 2550*f**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -16371170.35 rounded to the nearest 100000?\nAnswer: -16400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.026447 to three dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 687484 is divided by 1276.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let -d**4\/3 - 1336*d**3\/3 - 196415*d**2 - 28535106*d = 0. Calculate d.\nAnswer: -489, -358, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tq when two letters picked without replacement from gtcdbqgt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 7*p - 52. Let s(b) = -3*b + 5 + 10*b - p. Let f(l) = -217*l**2 - 742*l**2 + 958*l**2. Determine s(f(h)).\nAnswer: -7*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be 59 + (0 - (-4)\/(-1)). Suppose -37*h = -12*h - 3039 + 1114. What is the greatest common divisor of m and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (14\/((-140)\/10))\/(((-28)\/32)\/(-7))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -67*m + 33 - 61*m - 61*m + 186*m as a*m + f and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bzzzzpbdzzzbzpzpzp.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -3396000 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 16*b. Let h(o) = 144*o**2 - 8*o + 9. Give h(a(y)).\nAnswer: 36864*y**2 - 128*y + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -25.8 - -27.8. Let h = -18 + 13. Which is the closest to v? (a) -3\/4 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 75\/5 + (1 - 1). Let b be (-260)\/15*54\/(-72). Are n and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(288)\/(4*sqrt(8)\/sqrt(2)))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 62 = 2*y - 3*o, 3*y = -2*o + 100. Calculate the lowest common multiple of y and 8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of 3*l + 183 - 3\/2*l**2 + 1\/4*l**4 + 2\/3*l**3. Let p(x) = 3*x**2 - 2*x + 2. Determine -2*k(d) + 3*p(d).\nAnswer: -2*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 13069279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 3 - 4)*(32 + 12*u - 32)*(-1 + 0 + 2) in the form n + q*u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -3\/2 (b) 0 (c) -16 (d) -1\/4 (e) 0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*3\/(-18)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 336 - 341 = -3*j + f, 16*f - 210 = -10*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + -1*(sqrt(13) + -2))**2 + -5*sqrt(52)\/sqrt(4) - sqrt(65)\/(6*sqrt(80)).\nAnswer: -121*sqrt(13)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 10831.729 rounded to the nearest ten?\nAnswer: 10830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3255.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -104281.796 rounded to the nearest one hundred?\nAnswer: -104300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 59737 and 138415?\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 6*z + 16. Let m(x) = -5*x**2 + 105. Calculate o(m(a)).\nAnswer: -30*a**2 + 646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 112300*x**4 + 103355 wrt x?\nAnswer: 449200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((-3 + (sqrt(180) - (sqrt(180) + 1)))**2 + sqrt(45)\/(5*sqrt(27)\/sqrt(3))).\nAnswer: -64 - 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -14646442 + -2?\nAnswer: -14646444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -536, -9, 150, 9, 0 in ascending order.\nAnswer: -536, -9, 0, 9, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**9\/m)**(12\/11) assuming m is positive.\nAnswer: m**(96\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in thirty-one halves of a microsecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-2 + -2) - 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3332 is divided by 1627.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2312*b**5 - 138108*b**4 + 99448*b**3 + 50524*b**2 - 15120*b + 944 = 0.\nAnswer: -1\/2, 2\/17, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(65) - (sqrt(65) + (sqrt(65)*-1*-1 - sqrt(65))) - sqrt(65)))\/(((sqrt(385)*-3)\/sqrt(7))\/sqrt(11)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 427139.604 to the nearest one hundred.\nAnswer: 427100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2, 4, 3, -125356, -2 in descending order.\nAnswer: 4, 3, 2, -2, -3, -125356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-3\/8))**(-16)*c**15*c*c**19 assuming c is positive.\nAnswer: c**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**3 + 8515*l**2 - 3654880*l + 25168640.\nAnswer: -5*(l - 848)**2*(l - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2365, 2367, 2379, 2407, 2457, 2535, 2647?\nAnswer: 2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 6 + 3 + 4 - (1 + 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 145\/948 and 67\/158?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -221115162 less than or equal to -221115159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 1390 = -5*h + 2*l, 3*l - 15 = 0. Is 25 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -214 and -329 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j*j**(-26)\/j*j)**(8\/7))**11)**22 assuming j is positive.\nAnswer: j**(-48400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 2221401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.0108574 and 1.\nAnswer: 0.0108574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -299 - -2349. Let q = -1306 + c. List the prime factors of q.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 3. Suppose 4 + 48 = -k. Let p = k - -154\/3. Which is the second smallest value? (a) -2 (b) t (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 + 2*j**2 - 2*j**2)*(32*j - 2 - 19*j + 2).\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is o in -346*o**2 + 1\/3*o**3 - 41421736\/3 + 119716*o = 0?\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -39bc13 (base 13) to base 4\nAnswer: -11111012103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 3 = -3. Suppose -b*s + 10 = -4*s. Let v = -2 + s. Solve -5*m + 0*f - f + 19 = 0, -4*f + 8 = v*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2901 and 1934?\nAnswer: 5802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fpfyfapjjfjg. What is prob of sequence gj?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 17744*x**2 - 13*x + 252. Is o(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2534.06423 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 4 = 6*o + 13, -13 = 2*o - 3*v. Which is smaller: -2\/813 or o?\nAnswer: -2\/813","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 0.7552395 meters?\nAnswer: 755239.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*h**6 + 89674*h**4 + 2*h**2 + 5*h - 3019.\nAnswer: 240*h**3 + 2152176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -448*f**4 - 6*f**2 + 8*f - 31867.\nAnswer: -1792*f**3 - 12*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14.91 - 15. Let t = 942 + -942.91. Let c = t + a. Sort c, 0.1, -6 in descending order.\nAnswer: 0.1, c, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2901?\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-1 + (sqrt(405) + -1 + (sqrt(5)*-2)**2*-2)*3).\nAnswer: -135*sqrt(5) + 620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -36?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 2511*o + 146. Let u be g(0). Calculate the highest common divisor of u and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*j - 29*j = 204. Solve -j*v + 54 = -42*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*i - 8*i - 37. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -18\/5 (b) 1\/3 (c) -0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -45036 divided by 2.\nAnswer: -22518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10108 and 1372?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(-1) + 0\/(-1) + -3. Let w(f) = f**2 + 6*f + 4. Let s be w(c). Put 4, s, -3 in decreasing order.\nAnswer: 4, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 3*n = -11, 9 = 3*f - 3*n + n. Suppose -f*a = -0*a. Factor -1 + a*p**3 + 8*p - 1 + 8*p**3 - 2*p**4 - 15*p**2 + 3*p**2.\nAnswer: -2*(p - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 26 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -23915578, -23915580, -23915582, -23915584, -23915586?\n\"Answer: -2*d - 23915576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-7)*v*v)\/(v**8*v) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14 and 6578?\nAnswer: 46046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2*((-9)\/24)\/3)\/((-41)\/(7790\/380)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:56 PM and 3:55 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 + 9*a**2 - 13*a - 3. Let m be b(7). Suppose -m*y = 3*p - 9, 2*y - p = 2*p + 9. Solve y = 4*h - 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 133403, 133400, 133397?\nAnswer: 133394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z - 3. Let c be f(-6). Suppose -2*k + 4*a + 2 = 0, c*k = -5*a - 0 - 8. Is (k - 0 - 1)*-11 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 5*s + 640 = 0, 399*j - 400*j + 156 = 3*s. Calculate the remainder when 560 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 16\/6*(-5 + (-65)\/10 - -13). Solve -s = -v*y - 11, 105*s - 108*s = 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 889398 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 346 and 3287?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**3 - 10*g**2 - 11*g + 70.\nAnswer: -(g - 2)*(g + 5)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 AM and 7:27 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes before 12:20 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**2 + 11*v + 20. Let h be k(12). Suppose y - 3*m = -h*m + 64, 0 = -5*y + 4*m + 349. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes after 8:41 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 102694.\nAnswer: 2, 51347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27926705.\nAnswer: 5, 911, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(280)\/(sqrt(15)\/sqrt(3)))\/(sqrt(21)\/sqrt(27)))\/((-6*-2*sqrt(484) + sqrt(484))*3).\nAnswer: sqrt(2)\/143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in eighty-seven halves of a millennium?\nAnswer: 4350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 285\/12 - (-3)\/12. Suppose 4*m - i = -4*x, -m + 15 = x - 3*x. What is the highest common divisor of m and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 - 4*l - 6. Let n(a) = -a**2 + 8*a - 16. Let j be n(7). Let k be t(j). Let y = k - -53. Put y, 4, 3 in increasing order.\nAnswer: y, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 30147 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(7920)*2 - sqrt(7920) - sqrt(7920) - sqrt(7920) - sqrt(7920))*5)\/(-1*sqrt(320) + sqrt(320) + (sqrt(40) - 2*sqrt(40))\/sqrt(8)).\nAnswer: 3 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*o - 7*o**3 + 5*o**3 + o**2 - 2*o - 3*o**4 as m*o**3 + x*o**2 + b + j*o**4 + s*o and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2, 0, 3, 2413, -3, 10 in decreasing order.\nAnswer: 2413, 10, 3, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 5*w**2 + 22*w. Let p be t(-4). Let n be 3 + 23 + 1 - (5 + p). Calculate the greatest common factor of n and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -36 + 124*h**2 - h + 21*h - 21*h wrt h.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6016 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.21 (b) 0 (c) -4\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b + 10. Let a(k) = -4*k + 30. Let c(y) = -2*a(y) + 7*n(y). Let l be c(-8). Solve -2*x - 20 = -5*j + 13, -j - 3 = l*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -9368*x**2 + 17*x + 30 wrt x.\nAnswer: -18736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 - (9 + -1 + (1 + -89 - -93))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -14 (base 5) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence whxg when four letters picked without replacement from {q: 1, x: 1, w: 1, h: 1, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2*4)\/(234\/(-351))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let i(y) = y**3 + 17*y**2 + 404*y + 2658. Calculate i(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 747 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w - 308 = -17*w. Suppose 0 = -w*j - 21 + 161. Solve 3*f + h - 6 = 0, 3*h - 6 = -j*f + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 48*n + 8*n + 1 + 23*n - 7*n to the form a*n + q and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 5446962 to the power of 1\/2, to the nearest integer?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 5310 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 83959 * -0.5.\nAnswer: -41979.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3 - (4 - (3 + 0)). Let o = x - 2. Solve 22 = 2*i + 3*r, 0 = 2*r - o*r - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f**3 - 13*f + 23*f**3 + f**2 + 45*f - 32*f.\nAnswer: 20*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*p - 5*k = 87, -5*p - 123893*k + 123890*k = 49 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -25 + 293?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 156693 * -51\nAnswer: -7991343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8771487?\nAnswer: 3, 23, 127123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**3 + 10*k**2 + k - 6. Let y be z(10). Suppose 5*x + y*i - 320 = 0, 0*x + 3*x - 5*i - 155 = 0. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -132 = 716*v - 848 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -w + 6. Suppose -13*i + 4*i + 3375 = 0. Suppose 4 = i*o - 373*o. Solve -3*z - 2*s + 0 = o, 0 = 2*z + w*s - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -26*s**3 - 12*s**2 - s + 1. Let o be v(-1). Which is smaller: 121\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 27, 67, 133, 237, 391?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.4 + 0.5. Let p = -0.24 + 0.2. Let i = -39 + 38.7. Which is the closest to d? (a) i (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 13339*x**2 + 9. Let l(j) = 6022561*j**2 + 4063. Let v(m) = -4063*h(m) + 9*l(m). Let u(s) = -s. Determine v(u(r)).\nAnswer: 6692*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be -7 + (-1285)\/(-150) + 5\/(-75). Let b = 9 + -14. What is the second smallest value in 2\/21, -2\/55, c, b?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1189570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5266 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -191 in 1\/2, 0.3, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*f**2 - 3*f**2 + 4*f**2)*(-3 + 5 - 1)*(7 - 101 - 9) to the form z + q*f**2 + c*f and give q.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-3\/7)\/v**2*v**4*((v*v**4)\/v*v*v)\/v*(v*v**(2\/15)*v*v\/v**(1\/5)*v)\/(v**0)**(-28) assuming v is positive.\nAnswer: v**(1103\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t = 2*c + 1, c + 6 = -0*t + 3*t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1154 and 86129367?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 403 = 17*p + 8*p - 12*p. Calculate the remainder when 5713 is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((17690\/4819)\/58)\/((-15)\/3)?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(1053)*-4 + sqrt(1053) + sqrt(1053))**2*-3*-5.\nAnswer: 2700*sqrt(13) + 63555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.23451 (b) -1\/59 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39 is divided by (7\/((-147)\/(-30)))\/((-6)\/(-42))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 11759 + -11883.82. Let r = -123 - y. Round r to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mxxxmtxmxxmxmmf. What is prob of sequence xmf?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 55 - 55. Let t = 450247\/52 + -8660. Let o = t - -15\/13. What is the closest to -1\/5 in n, 4\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255047 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 62324.5 kilograms in micrograms?\nAnswer: 62324500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, u: 1, k: 1, i: 1, s: 2, e: 1}. Give prob of sequence iule.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -3\/2, -11\/3, 0.19, 3\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*u + 28*u = -37*u + 1127 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(85)*4)\/(3*sqrt(605)) + -2.\nAnswer: -2 + 4*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 7830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -27*-195\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -6, 4, -13\/4, 0 in ascending order.\nAnswer: -6, -13\/4, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -6 - (11 - (17 + (-15 - -24)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 139104 and 243936?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 1 + 4)*(w - 3*w + 0*w) + 0 - 4 + 2 - w.\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 7 + -1. Suppose 46 = 2*f + 4*c, -2*c + r*c - 8 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -13728284*w**5 + 7*w + 1820524.\nAnswer: -274565680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81739705?\nAnswer: 5, 16347941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105 = -5*b + 795. Suppose b = 5*s + s. Calculate the remainder when s is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11100010111000 - 100?\nAnswer: 11100010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1485836370.\nAnswer: 2, 3, 5, 337, 48989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, h: 2, k: 3, i: 3}. Give prob of picking 1 h and 1 m.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -19*i - 18. Let y(m) = 48*m + 45. Let r(f) = 5*k(f) + 2*y(f). Let s(n) = 4*n**2 + 227. Determine r(s(c)).\nAnswer: 4*c**2 + 227","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tu when two letters picked without replacement from tycuxcccuc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -60 - v**3 - 10*v + 2*v - 60 + 188 - 65 - 10*v**2. Give a(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 370 + -971\/3. Let q(a) = 6*a**3 - a**2 + 2*a - 1. Let l be q(2). Let r = l - t. What is the second smallest value in -5, r, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -61221.1 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/15 (b) 1\/2 (c) 0.021 (d) -5 (e) 11628 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/10 and -9\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = -4 + 2. Let m be (y + 0 - (-8)\/16)*-4. Suppose m*t - 5*t = -12. Solve 0*g + t*g + 4 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16580\/77 bigger than 214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2679*y + 1. Let m be r(-3). Suppose 0 = 5*d - 4*x - 8016, 5*d - x + 34 = m. Let j be (d\/2)\/(7\/59500). Round j to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 4, h: 10, e: 6}. What is prob of picking 2 h, 1 f, and 1 e?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 36 = -3*k, 4*k - 3*o + 43 = -5. Let d = k + 15. Suppose 2*y - 1 = -d, j = -4*y + 55. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1154449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94294 is divided by 61?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**2 + 18*t + 2. Let n be g(-17). Let j = n + 29. Suppose p + 5*s = s + j, 3*s = -2*p + 18. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -142 - -1145653?\nAnswer: 1145511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 + 5*p**2 + 7*p - 9. Let g be f(6). Let w(k) = 514*k - 1 - 517*k + 2. Determine w(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 374\/(-55)*5\/(-1). Let j = g - -6. What is the highest common factor of 260 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7414 and 1254902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 580551279 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(228)*-4)\/((sqrt(216)\/sqrt(6))\/sqrt(3)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ggggg. Give prob of picking 4 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1 + -4 - 12\/3. Let y(o) = -5*o - 15. Let v be y(t). Let c(k) = -k**2 + 23*k - 7. What is the units digit of c(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -239 + 146. Let a = 93.021 + f. Which is smaller: -2\/3 or a?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (9\/12)\/((-2)\/(-8)). Suppose y - u + 338 = j*y, 5*u = 2*y - 326. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*a + 4*p + 14, -72*a + 71*a - 4*p - 2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - 29?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be -3*(-2)\/(-3)*-2. Suppose b*m + 9 = 5*m. Let o = m - 4. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((6*sqrt(81) + sqrt(81))\/sqrt(3) - (5*sqrt(108) - sqrt(108))) + -3 + 4)**2.\nAnswer: -6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 84856887 to the nearest integer?\nAnswer: 9212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2787.\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 10350a99 + -4?\nAnswer: 10350a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0678 - 0.9278. Which is the nearest to 2\/7? (a) -4 (b) 0.5 (c) v (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q**3 - 526*q**2\/9 - 2276*q\/9 - 160\/3 = 0. Calculate q.\nAnswer: -24, -5, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2530944, -2530953, -2530962, -2530971?\n\"Answer: -9*k - 2530935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1\/28 or 3487?\nAnswer: 3487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 784 - 2*g - 3*g - 789 + 2*g. Let o(h) = 4*h + 6. Let l(z) = 2*o(z) + 3*u(z). Calculate l(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 208 and 339352.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -181965\/4 + 322259915\/7084. Calculate the common denominator of 87\/322 and l.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -45301 + 45346.998. Let a = -46 + f. Let g = 0.418 - a. Round g to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 6. Suppose -l = 7 - 29. Let o(d) = -d**2 + l + 0*d - 21 + 2*d. What is o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u**2 - 18*u - 4*u**3 + u**4 + 3 + 18*u - 5 to the form y*u**3 + j*u**4 + m*u**2 + d*u + n and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c**2 - 2*c**2 + 2*c**3)*(0 - 2 + 3).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 385, 1349, 2903, 5047, 7781?\n\"Answer: 295*u**2 + 79*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 20610*k - 7604*k = -702324 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 4*g = 7*g + 22, -4*g = 3*y - 19. Let s be 4\/(-4 - -2) + (-5)\/y. Let t(l) = 2*l**2 - 2*l - 4. Let a(x) = -x**2 + 2*x + 3. Give s*t(c) - 4*a(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 781.001131 - 781. What is q rounded to 5 dps?\nAnswer: 0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(-4\/5))**(10\/7))**(-9\/10))**(-50) assuming l is positive.\nAnswer: l**(-360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 1\/8 (b) 8\/5 (c) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 7 + -2 + 27 + -30\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 3*k**3 + 2)*((-k + k + k)*(13*k - 6*k + 12*k) - k**2 - 3*k**2 + k**2).\nAnswer: -48*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 9566263\nAnswer: -1\/9566263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 + 6. Let f be -3*((-34)\/(-6) - 3). Let p be (-4)\/f - (-5)\/2. Let n(s) = -3*s**2 + 2*s - 6. Let v(j) = 2*j**2 - j + 5. Determine i*v(m) + p*n(m).\nAnswer: -m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5927 + 5976. Let q = -15 + 29. Calculate the highest common factor of q and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-120)\/(-200))\/((-10)\/(-8) + -2). What is the second biggest value in -4, -2, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -149*z - 736. Give d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 3 = -10. Let z(u) = -u - 1. Let l(h) = -144*h - 1. Let j(y) = -l(y) + 4*z(y). Is j(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zv when two letters picked without replacement from {v: 1, z: 3, n: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41\/(-1189) - (-15070)\/(-290).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -869424 divided by 1228.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 6, c: 8, y: 5, o: 1}. What is prob of sequence cyo?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 61*b**2 - b. Let z = 0 - 1. Does 17 divide p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 0, 17, 60, 141, 272, 465, 732, 1085?\n\"Answer: 2*n**3 + n**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s + 0*c + 8 = 4*c, -5*s = 4*c + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -4\/7, 28, 0.015?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes after 3:27 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 11 = 3*m, 3*g - 65 = -m - 74 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = -3*d + 5, -7 = -d - 5*z - 2. Let y = 0.1 + -7.9. Let q = y + 5.8. Which is the closest to q? (a) -0.1 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 894 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40972765.\nAnswer: 5, 43, 149, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**2 + 16*i - 427. Let j be z(14). Which is the smallest value? (a) j (b) -6 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from {g: 5, u: 9, c: 1, q: 4, h: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3044 - 2313324?\nAnswer: -2310240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the first derivative of -1\/10*f**5 - 1\/10*f - 3\/5*f**3 - 2\/5*f**4 + 6 - 2\/5*f**2. What is x in g(x) = 0?\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.0249 + -0.1659. Suppose 0*v + 8 = 2*v. Put q, -1\/5, v in ascending order.\nAnswer: -1\/5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18823993 and 9.\nAnswer: 169415937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 p when three letters picked without replacement from kkezkpe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14208 and 11165712.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11101 + 1000101100?\nAnswer: 1001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11744075 is divided by 1137.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 128*o - 132*o + 208 = 0. Suppose 2*b + 8 = 6*b. Suppose -f + 4*f = z - 30, -z + b*f = -26. What is the remainder when o is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9 + (-504)\/54 + (-7070)\/(-6) is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {o: 1, h: 4, m: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f - 2. Let q = 216 + -216. Suppose d - 2 - 3 = q. Calculate z(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (60\/(-50))\/(4\/5)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-11)\/(x**(3\/4)*x) assuming x is positive.\nAnswer: x**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = -27 + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 6+1932174921\nAnswer: 1932174927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 121754 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (21\/(-420))\/((-24)\/(-60)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 3) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2987901?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*y**2 - 26964*y + 27011232.\nAnswer: 4*(y - 5517)*(y - 1224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/65039446 and -33\/1097356?\nAnswer: 1691025596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 4 - u**2 + 5*u**2 - 4 in the form p*u**2 + c + i*u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -58, -103, -144, -181, -214, -243?\n\"Answer: 2*p**2 - 51*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -476, -200, 696, 2212, 4348, 7104, 10480?\n\"Answer: 310*p**2 - 654*p - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1538764 divided by 1538764?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) be the second derivative of -3*m**5\/20 - 5*m**4\/3 + 3*m**3 - m**2 + 165*m. Let o be y(-9). Calculate the highest common divisor of 39 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2731885 is divided by 87?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in seventy-nine halves of a millennium?\nAnswer: 3950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 25695662 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 1140 by -2.\nAnswer: -570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 247534232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 8*d**2. Let n(p) = -p - 1765. Give x(n(u)).\nAnswer: 8*u**2 + 28240*u + 24921800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 10) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) 1\/5 (d) -1.527\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oobbbobbobobobobobbo. Give prob of sequence bbbo.\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {m: 1, j: 2, u: 2, n: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(33)*-2)\/sqrt(11) - (2 + -1 + sqrt(3) - -6*sqrt(12)).\nAnswer: -15*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 155452177 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 k be (-7 + (-9 - -198))\/((-2)\/4). Let o = 529 + k. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 215 is divided by 145.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -274*k**3 - 75*k**2 - 20. Let g(j) = 96*j**3 + 25*j**2 + 7. Determine -17*g(y) - 6*z(y).\nAnswer: 12*y**3 + 25*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -3*u**3 - 3*u**2 - 2. Let g(l) = -7*l**3 - 12*l**2 + 197*l - 684. Let t(q) = g(q) - 4*m(q). Find the first derivative of t(o) wrt o.\nAnswer: 15*o**2 + 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -5, 1.9, 11, 0.2, -0.3 in descending order.\nAnswer: 11, 1.9, 0.2, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4929543, 9859087, 14788631?\nAnswer: 19718175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 - 6*j + 3. Let m be o(-5). Suppose 5*x + m = 3*x. Let q(l) = -3*l + 4. Let r be q(3). Sort r, x, -6 in descending order.\nAnswer: x, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -71 in 3, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -56744 - -8465?\nAnswer: -48279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -41 + 47. List the prime factors of x\/9*5*11*3.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0150015414 to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -3*k - 15, j + 30 = 6*j - 4*k. Solve 8*g = 6*g - j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -302493*k + 302513*k - 960 for k.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.10917592 to five dps.\nAnswer: 0.10918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 76262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 675 is divided by 172?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be -28 + 0 - (2 + (6 - 6)). Let r = f - -39. Which is smaller: 10 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -18*b**5 - 1936*b**4 - 622088*b**3\/9 - 808800*b**2 + 369792*b - 41472.\nAnswer: -2*(b + 36)**3*(9*b - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -171.2 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*n + 4 + n**4 + 4*n - 3 + 6*n**2 - 8*n**2 to the form b*n**3 + c*n**2 + o + x*n + m*n**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 53264167111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -8 + 24. Let f = o - 1. Solve -4*w + 10 = w + 3*l, 3*l + 6 = f*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 2 = -d - 6, 4*d = -5*n - 21. Suppose -o + 4*c + 10 = 0, 16 = 2*o + 2*o - 4*c. Is n at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 604 a factor of 37000746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = -537 - -605. Suppose 52*m = 35*m + y. Solve -28*z - m = -26*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -450*u - 276081 = -9406*u + 664299 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -80 + 75.8. Let z = 74.7 + -68. Let r = z + a. Round r to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 13*s + 13. Let b(x) = 6*x + 6. Suppose 0 = 4*l - 170 + 46. Let d = l - 35. Let y(t) = t**2 + 5*t - 5. Let o be y(d). Calculate o*b(k) + 4*u(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*g + 2*s = 36, 147*s - 146*s - 15 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i - i. What is the derivative of -3*x + i - 3 + 6 + 4 wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express h**2 - 14*h + 32 - 97 + 65 - 9*h as z*h + n*h**2 + r and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 37522 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30.15 - -30. Let w = f + 0.141. Let l = -0.0224 - w. What is l rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -5564, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -208, -396, -584, -772, -960, -1148?\nAnswer: -1336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 1\/54 (b) -1.37 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-5\/3)\/(x*x**(4\/7)\/x*x))\/((x\/(x*x**(-4\/3))*x)\/x**(2\/11)) assuming x is positive.\nAnswer: x**(-415\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 18, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -11*b**4\/24 - 2*b**3 + 5*b**2 - 41*b. Let i(t) = 5*t + 6. What is -13*i(a) - 6*v(a)?\nAnswer: a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together -84.63 and -0.1469542.\nAnswer: -84.7769542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/27*(-14523)\/188 + 12.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1448534 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**3 - 2*w**2 + w - 18. Let y(r) = -59*r**3 - 8*r**2 + 5*r - 2322. Let f(p) = -4*d(p) + y(p). Differentiate f(x) wrt x.\nAnswer: -189*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -53*l - 1 - 37*l + 123*l - 37*l + 24. Let g(s) = -s + 6. Calculate 22*g(d) - 6*v(d).\nAnswer: 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u. Let n(v) = 26*v - 8*v - 14*v - 13*v. Determine n(z(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 882 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 218000 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/2*2*-2. Suppose v + 11 = y. Find the common denominator of v*2\/22 + -2 and -43\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 132 + 41 = 0. Suppose -s*d = -12*d - 19. What is the greatest common divisor of d and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 + -3. Suppose v*i - p - 2*p = 7, 2*p - 6 = -4*i. Suppose -i*n = -2 - 2. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 765.968079 rounded to one decimal place?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 56\/(-2 - (-45)\/20) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4033 and 1813?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20.5 - -1.5. Let y = 19.06 + o. Let g = 3.6 - 4. What is the closest to y in 1, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -64*g**2 + 7. Let w(p) = 32*p**2 - 3. Give 4*l(b) + 9*w(b).\nAnswer: 32*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4520 divided by 452?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 57135899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 50\/(-15)*(-3)\/30\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 896 - 894. Let y = 7 + 4. What is the second derivative of 17 + 0*j**l + 2*j**2 + y*j - 17 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -i + 3*i**3 + i - 3 + i + 4 - 2*i**2 in the form o*i**2 + r*i + k + a*i**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + (0 - 3) + 18 + -13 + -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) 0.5 (b) 3 (c) -4 (d) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -6941.\nAnswer: -1388.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45508?\nAnswer: 2, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -17*x - 8. Let s(j) = -16*j - 7. Give -6*r(z) + 7*s(z).\nAnswer: -10*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**5\/6 + 2*j**4 - 19*j**3\/3 + 26*j**2\/3 - 11*j\/2 + 4\/3.\nAnswer: -(j - 8)*(j - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) be the first derivative of 5*f**2\/2 - 5. Suppose 98 = -3*i + n + 613, 0 = 2*i + 5*n - 366. Let d(v) = i*v - 8*v**2 - 173*v. Give d(r(u)).\nAnswer: -200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -2*d**2 - 2*d + 3. Let g be (11\/22)\/((-2)\/(-4)) - 4. Let s be b(g). Let m(k) = -k - 6. Calculate m(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - 5*u = -16890 + 16948 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 526650 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*j + 3*j - 3. Let g(w) = -w**2 - 9*w + 8. Let f be g(-9). Let b be 3*(f\/3 + -6 + 4). What is the highest common factor of j and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 - 46*q**2 + 32*q - 3683. What is f(47)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -122 - -1110220?\nAnswer: 1110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2918 + 1737. Suppose 3*d = -2*u + 5406, 2*u = -3*d + 6*u + 5424. Let y = s + d. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 b when three letters picked without replacement from fbubfuufbuubu?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-357)\/(-28) + (-4 - 0). Let y = t - 9. Which is the smallest value? (a) y (b) -3 (c) -2\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 5.88 to 1 dp.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -100, 6, 3\/4 in descending order.\nAnswer: 6, 3\/4, 0.4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*z + 32*z + 28 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-1) + 30\/(-15))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 61720225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 65183 is divided by 103.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that g**5\/6 + 5*g**4\/6 + 5*g**3\/6 - 5*g**2\/6 - g = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-3 + (0 + sqrt(931))**2)*4 - ((-1*sqrt(931)*-1)**2 + -2))*-1.\nAnswer: -2782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**2 - 11*i + 51. Calculate h(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from nwjubuejwnuube?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, n: 1, y: 2}. What is prob of picking 1 y, 1 n, and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 17*n**2 + 7*n + 0*n**2 - 11*n**2. What are the prime factors of g(5)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**2 + 8*x - 3. Let h be v(8). Let f = 5 + h. Let s(n) be the first derivative of n**4\/4 - n**3\/3 - n**2\/2 + 1. What is s(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/85142 and 91\/2043408.\nAnswer: 2043408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 217 - 214. Suppose 4*l - 834 = -c + 535, -x*l - c = -1027. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 315 + -309. Suppose -2*h = -2, -19 = -4*y + f*h - 5*h. Solve -3*l + 6 = 0, 3*l - y = k - 2*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve u - 63*u + 2134 = 12*u - 52*u for u.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.521571ml to litres.\nAnswer: 0.007521571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15*l**4 + 61*l**3*z**3 - 92*l**2*z**2 - 2*l**2 + 2*l*z**3 wrt l?\nAnswer: 360*l + 366*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2 + 4)*1 + 30. Suppose -v - 4*u + x = 0, 5*v - v = u + 43. What is the remainder when v is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**2 + 11616*h + 23240.\nAnswer: -2*(h - 5810)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 15\/(-20) - 792\/(-32). Suppose 2*n - 2*t + 7 = 25, 4*n - t = x. Let z be (-1 - 0)*-4 + -9. Put -2, n, 4, z in descending order.\nAnswer: n, 4, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 11*o - 14. Let g be t(4). Let f = g - 7. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*a = 13*a + 5. Let v = -104 + 119. What is the second derivative of -33*h**5 + 5*h - v*h + 74*h**a wrt h?\nAnswer: 820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.23 - -15.73. Let t = x + -15. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 6*c**2 - 12*c - 3. Let z(s) = 2*s**2 - 4*s - 1. Calculate 6*h(w) - 17*z(w).\nAnswer: 2*w**2 - 4*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 59215373, 59215374, 59215375, 59215376, 59215377?\n\"Answer: s + 59215372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -48451*b + 48449*b + 4 = 0, 3*i + 4*b = 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*h + 2*h + 4*h + (-5 - 7 + 4)*(3*h - h - h))*(h**2 + 0*h**2 + 3*h**2).\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8189783*g*p**2 + 10812267*g*p wrt p.\nAnswer: 16379566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -44 - -44. Let j(f) = -f**3 - f + 3. Calculate j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 104.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o = 14*o + 4*n + 102, -3*o - 114 = 2*n. Which is the second smallest value? (a) -0.3 (b) 0.15 (c) o (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5752.826 nanograms to kilograms.\nAnswer: 0.000000005752826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes after 2:20 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 83228 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 343, -3, -0.2, 23\/3, -4.\nAnswer: -4, -3, -0.2, 23\/3, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + a = -3*z + 997, -5*z + 4*a + 1665 = 0. Suppose -z = -5*h - 3*s, 343 = 5*h + s - 5*s. Let y = h + -336\/5. Is 0.1 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2*k + 12 = -1, 0 = d + 5*k + 7. Factor 24*c**4 - 26*c**4 - c**d + 2*c**2 + c**3 - c + c**5.\nAnswer: c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18 - 2 - (-1 + 17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 + 1 - 1 + 181*t**2 - 1 - 6.\nAnswer: 181*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -70028 - -0.3.\nAnswer: -70027.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (28*v + 94*v - 30*v)*(-23 + 20*v**3 + 6 + 11).\nAnswer: 1840*v**4 - 552*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 9*c + 50. What is n(-7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*h + 4*b + 350, -4*h - h - 2*b - 867 = 0. Let o = 257 + h. Suppose 4*t - 4*p - o - 16 = 0, 5*p = -3*t + 43. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -16860, -34672, -52484, -70296?\nAnswer: -88108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = g + 1. Let h(b) = -3*b + 3. Let m(c) = -2*a(c) - h(c). Let u be m(3). What are the prime factors of -19*(-3 + 0) + u?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the first derivative of 0*k + 1\/18*k**6 - 205 + 1\/12*k**4 + 0*k**2 + 2\/15*k**5 + 0*k**3. Find c such that x(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 5*m**2 + 30098 - m**2 + 12*m - 30094 + 2*m**2 - 5*m**2 as r*m + g + x*m**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2*1)\/2)\/((714\/21)\/(-306))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the first derivative of t**3\/3 - 6*t**2 + 51*t + 19. Calculate the remainder when 96 is divided by b(12).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2526850 to the power of 1\/2, to the nearest integer?\nAnswer: 1590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 39\/2*d**2 - 3\/2*d**3 + 225\/2 - 165\/2*d.\nAnswer: -3*(d - 5)**2*(d - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 2, a: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 16*o - 76. Let a be i(5). Suppose 0 = a*t - 2944 - 1236. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(-7\/6)\/k)\/k**(20\/9))\/((k**(8\/3)\/k*k*k)\/k**(-2)))**49 assuming k is positive.\nAnswer: k**(-8869\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 166 - 172.7. Let c = -7 - r. Let d = 1.5 + -2. What is the second smallest value in -4, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-50)\/24)\/(-5)*(6604\/(-130))\/127?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1061\/7 - 151. Let u = -0.01 + 0.41. Which is the smallest value? (a) -0.1 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes before 12:50 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -39*f + 15. List the prime factors of b(-15).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -292360, -0.5, 0.2, -13\/5, -1 in descending order.\nAnswer: 0.2, -0.5, -1, -13\/5, -292360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1016924 is divided by 134?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = k + 2*n - 4, -3*k = -n - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -20424, -40840, -61254, -81666, -102076, -122484, -142890?\nAnswer: -163294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -4904038.5 to the nearest one hundred thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 4 = -2*k - 0*r, -r = 4. Suppose -k*z - 13 = -73. Calculate the highest common divisor of z and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyynwnhywayy. Give prob of picking 1 y and 1 a.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -172504 (base 8) in base 9?\nAnswer: -105114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-315)\/(-7))\/(1 + -2). Let s be (r\/(-6))\/(9\/12). Suppose -50 = -6*a + a. Calculate the greatest common factor of s and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -534.0604 - -1564.42?\nAnswer: 1030.3596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 19 + -16. Suppose j*c + 3 = 18. Solve 2*b + 3*b + c = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2332688 and 0.4?\nAnswer: 933075.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 43102 and 239872.\nAnswer: 5517056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-26)\/4 + 3\/(-6). Let y be p*5*(-6)\/(-35). What is the units digit of (-105)\/(-14)*y\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7512234 and 17528546.\nAnswer: 52585638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 1 = 2. Let u be 5 + 1*(1 + c). What is the greatest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the third derivative of 0 - 1\/840*o**7 - 1\/6*o**3 + 0*o - o**2 + 1\/80*o**6 - 13\/240*o**5 + 1\/8*o**4. Suppose m(t) = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the third derivative of b**7\/105 - b**6\/2 - b**5\/5 - 2*b**4 - 1135*b**2. What is the third derivative of g(n) wrt n?\nAnswer: 48*n - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*s, -4*q + 19 + 31 = 2*s. Let w = q - 29. Let u = w - -39. What is the highest common factor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 3190\/2610*(-120)\/176\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*m + m + 54. Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 49 = 2*o + 249, 0 = r + 2*o - 100. Calculate the greatest common factor of r and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:37 AM and 7:05 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*u - 410*u + 97*u + 92*u = 16992 for u.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -25 (b) 9 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3458 and 10640.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*h**3 + 30*h**3 + 18*h**3)*(15 + 40 - 14) to the form l + z*h + i*h**2 + j*h**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1*8)\/(-2))\/(89\/((-1068)\/(-72)))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 80711312 and 55.\nAnswer: 403556560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/2)\/(2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be -3*(-1)\/1 + -1. Let q(a) be the third derivative of 1\/120*a**6 - 1\/24*a**4 - 1\/20*a**5 + 0*a + 1\/70*a**7 + 0*a**3 + 0 - g*a**2. Solve q(u) = 0 for u.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 48 = 17. Suppose -5*p = -3*c - 49, 4*c - 3 = 2*p - x. Suppose 8*r - 4*r = -p. Is -4\/5 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/4*(-288)\/(-216)*-6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.04 + -0.16. Let s = 5.98 - 6. Let n = s - -0.22. Which is the smallest value? (a) n (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - (7 - 3)) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/225, -15, -128, 0.5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 517 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -56*d**4\/3 - 164*d**3\/3 - 40*d**2.\nAnswer: -4*d**2*(2*d + 3)*(7*d + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 100 + -103. Let z be (1\/10)\/((-20)\/(-150)). Which is the biggest value? (a) z (b) s (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 6 = 3*j. Suppose -2*o + 9 = j. Solve 2*p + 12 = -0*t - t, o*p = 2*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4444, -33105, -110178, -259867, -506376, -873909?\nAnswer: -1386670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 69*z - 123. Calculate s(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18104 - -33529. Does 213 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - 4 = 56. Suppose -3 = f*u - 353. Calculate the remainder when u is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange s + 2 - 9*s**2 + 10*s**2 + 7*s + s to the form b*s + x*s**2 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-1\/30)\/f*f*f)**(-2\/29) assuming f is positive.\nAnswer: f**(-59\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -34.822 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -4*k. Let n(c) = -6717027*c. Determine v(n(b)).\nAnswer: 26868108*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -7 divided by -59\nAnswer: 7\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -44*j**2 - 16*j - 16. Let d(b) = 9*b**2 + 3*b + 3. Calculate 3*a(c) + 16*d(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 126497202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 72965404 + -73034084.109. Let z = -68760 - c. Let g = z + 80. What is g rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 27 = -5*z, -r + 57 = -867*z + 878*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuyyuykkykuuuuuuuku. Give prob of sequence yy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2603 divided by 3.\nAnswer: -2603\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -4, 3608 in ascending order.\nAnswer: -11, -4, 3608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2*4\/(-12)*9. Let f(x) = -x**2 - x + 14. Let a be f(g). Let i = a - -34. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 29 + 40 = s, -3*o - 4 = -2*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**2 - 20*b + 1. Let z be n(-20). Sort -4, z, 5 in decreasing order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 55*x**2 + 156223*x - 3537863?\nAnswer: 110*x + 156223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 6973*k**2 - 57*k - 114. Let v(t) = -498*t**2 + 4*t + 8. Give -57*v(j) - 4*x(j).\nAnswer: 494*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.1, 3, -19, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lllwlllllllwlwll. What is prob of picking 2 w and 2 l?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.4 + 90656\nAnswer: 90656.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -6934\/13 at least -532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3662439520 to the power of 1\/2, to the nearest integer?\nAnswer: 60518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11111100110 + -10?\nAnswer: 11111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 - -1.5. Let p(n) = n**2 + 10*n - 22. Let r be p(-12). What is the nearest to -1\/4 in r, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0911687 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h be 517 - 35 - -2*3. Let g = 26 + h. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 336 and 55734.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mxmx when four letters picked without replacement from {m: 6, e: 2, f: 4, x: 2, t: 1, q: 2}?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 21 + (3 - 11) - (6 - -29)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 40715384 to the power of 1\/2, to the nearest integer?\nAnswer: 6381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Solve 9*t = 4*t + k - 9, -3*t + 4*k - 19 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -2*l - 5. Suppose -2*j + 0*j = -10, l*j = -a + 28. Let s(x) = -x + 4 + 3*x**2 + 2*x**3 + x - 3*x**3. Calculate s(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4023206 is divided by 11798.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 110 = 9*h + 74. Let o(b) = -88*b**2 + 2*b - 138. Let i(j) = -j. Let r(y) = h*i(y) + o(y). What is the second derivative of r(v) wrt v?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**3 - 6*z**2 - 8*z + 4. Let y be f(7). Let w be (y - -7)*(-1)\/(-2). Suppose -w*g - 14 - 32 = -4*r, 0 = -5*r + 4*g + 65. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*l**5 - 45*l**4 + 145*l**3 - 215*l**2 + 150*l - 40.\nAnswer: 5*(l - 4)*(l - 2)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 1525 = 153*h - 3605 - 8181 for h.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 105*c**3*y + 464*c**3 + c**2*y with respect to y.\nAnswer: 105*c**3 + c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -23215 and -26.\nAnswer: 603590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0.3, 0.5, -2\/4259, 8.39, -3 in increasing order.\nAnswer: -3, -2\/4259, 0.3, 0.5, 5, 8.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 938784936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -279, -283, -289, -297, -307, -319, -333?\n\"Answer: -j**2 - j - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -2 - v**2 + 3 + 5*v + 5. Let j be o(5). Let i = 17 - j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 4*d - 8. Suppose 3*g + d = 8*g. Let l = -171 - -173. Solve -l = h + g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 889\/1779 - -1\/3558. Suppose 1 = -0*l - l. Let s be -3 + 5 + l - 1. Which is the closest to 1\/2? (a) s (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -3104 (base 10) to base 5\nAnswer: -44404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 105876 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -68\/9*y**2 + 4 + 32\/9*y**4 + 2\/3*y**5 + 8\/3*y**3 - 10\/3*y = 0.\nAnswer: -3, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7.3 - 7. Let i = -1 - -0.6. Let z = i - -1.4. Which is the smallest value? (a) z (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 8d - -14d8b?\nAnswer: 1503a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -73*h + 344565 + 160960. What are the prime factors of h?\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g = 2*t + 9, -5130*g - 2*t = -5133*g - 11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 1, y: 5, k: 12, w: 1}. What is prob of picking 1 c, 2 y, and 1 k?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -664 + 664 - 32*a**2 in the form g + v*a**2 + b*a and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 318, 324, 348, 402, 498, 648, 864?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i + 1. Let n(w) = -28*w**2 + 28*w + 36. Let d(l) = 0*l + 11 + 16 + 4*l. Let o be d(-7). Let m(p) = o*n(p) + 20*k(p). Factor m(j).\nAnswer: 4*(j - 2)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 0 + -100011011110101?\nAnswer: -100011011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -100 - -100.3. Let w = 1 - 1. Let d = w + 0.5. Sort d, v, 1\/4 in increasing order.\nAnswer: 1\/4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 72357778?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9584 is divided by 1368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -3 + -1 + 0 + (0 - 9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f\/((f**0*f)\/f))*f)**(-2\/9))**(-8)\/(((f**2\/f)\/f)**19)**(-3\/7) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3 - 3)\/3 + 1. Let o be 1*-9*v\/(-3). Let j be ((-4)\/o)\/((-7)\/(-3)). What is the closest to -1 in -0.1, j, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 18 = -0*w. What is the least common multiple of -13 + (2 - (-67)\/1) and w?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19 divided by -2926?\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.0067 + 0.006194. Round o to five dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 46 = 7*l - 5*k, -66 = -4*l - 3*k. Let i = 19 - l. Let o = -301\/22 - -27\/2. What is the closest to 0 in o, i, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 20*l + 3. Let o(x) = 371*x + 56. Let w(i) = 56*f(i) - 3*o(i). Let t(n) be the third derivative of -n**5\/30 - 4*n**2. Calculate t(w(z)).\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -220, 1, -5, 21, 102 in descending order.\nAnswer: 102, 21, 1, -5, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of t**4\/4 + 4*t**3 - 23*t**2\/2 - 5*t - 39. Is 32 a factor of q(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -636, -584, -510, -408, -272, -96?\n\"Answer: j**3 + 5*j**2 + 30*j - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7619853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -666*f*h + f + 235*h - 498641 wrt h?\nAnswer: -666*f + 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2)*((j + 17*j + 11*j)*(-20 - 2*j + 3*j**4 + 20) + 4*j**5 - j**5 - 4*j**5).\nAnswer: 172*j**5 - 116*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1176*l - 73*l**2 + 71*l**2 + 1176*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -4 < 1610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/5*m + 1\/5*m**3 - 8\/5*m**2 + 8\/5.\nAnswer: (m - 8)*(m - 1)*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4543909186 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -117*l + 25. Let z be 5*2*12\/30*-2. Is v(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -11. Solve -5*u + y - k*y + 20 = 0, -16 = -5*u - 4*y for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that 2198*z**3 + 9*z**2 - 11 + 12*z**2 + 32*z - 5*z - 2225*z**3 + 3*z**4 - 13 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 716*g**2*k**2*l**2 + 56*g**2*k**2*l + 1454*g**2*k*l**2 - g**2*k - 13629*k**2*l wrt l.\nAnswer: 1432*g**2*k**2 + 2908*g**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + -6 + (1 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 5 + 17*p + 68*p + 54*p.\nAnswer: 139*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 105054 + -235?\nAnswer: 104415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = r + 2095. Suppose 834 = u - 0*u - 3*k, 3*u - k - 2502 = 0. Let x = u + r. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 4*o - 5*o**2 - o**3 + 1 + 3*o**2 + 3*o + o**2. What are the prime factors of r(-5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 223 + -2?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of 5*z**3\/3 + 3*z**2\/2 + 128*z + 2. What is l(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**2. Let a(w) = -12*w**2 - 24*w - 36. Let s be 74\/9 + 2\/(-9). Let c(l) = s*x(l) - a(l). Factor c(b).\nAnswer: 4*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 - (-2 - (2 - 3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2*-1 + 2 + 26. Let j(x) = -47*x - 19. Let t(d) = -77*d - 36. Let v(q) = 5*j(q) - 3*t(q). Let i(g) = -g + 3. What is o*i(u) - 6*v(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2.46 rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 + -1.2. Let v be (-436)\/70 + 52\/(-91) - -8. Which is the second biggest value? (a) 1 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -4*o**3 + 2*o**2 - 1. Let m be s(-2). Suppose 2*a - m + 1 = 0. Calculate the greatest common divisor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is f in -80\/13*f + 76\/13*f**2 + 2\/13*f**4 - 22\/13*f**3 + 0 = 0?\nAnswer: 0, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 168 (base 9) in base 10?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -1606, -1587, -1558, -1519, -1470?\n\"Answer: 5*h**2 + 4*h - 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*n - 13*n = -7. Suppose -9*b + n*b = 0. Suppose b = 2*x - 6 + 14. Put -1, x, 0 in decreasing order.\nAnswer: 0, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.03*0.13\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 PM and 8:25 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of -l**8\/48 - l**4\/4 - 5*l**2. Find the second derivative of g(d) wrt d.\nAnswer: -140*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 109921 is divided by 1130.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 46*o + 6. Let y be v(3). Let k be y\/(-20)*20\/(-3). Suppose k = 6*n - 168. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.04*0.0834213.\nAnswer: -0.003336852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + -22 - -32 - -14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 138490 + -138488. Let j(u) = 9*u**2 + u. Let t be j(-1). Solve -2*p = n + p - 11, 4*p = k*n + t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 456 and 1080.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 2*g = -26, -221*r + 5*g = -216*r - 25. Calculate the remainder when 504 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16)\/48)\/((-2)\/4*4\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-32)\/(-18) + 22\/99. Let p(r) = r**3 + 3 - r**3 + 14*r**o + 2*r + r**3 - 9*r**2. What is p(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1539206 to the power of 1\/2, to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55.6 - 56.6. Let s = -1.14 - -0.84. What is the nearest to -1\/2 in -2\/7, o, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 14 = 2*n, -4*k = -n - n - 22. What is the second derivative of 3*v**k - 3*v**4 - 2*v - v**4 - 3*v wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2, -4, -0.5, 895.803?\nAnswer: 895.803","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-342306)\/(-135)*((-60)\/32)\/((-3)\/4)?\nAnswer: 3, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9762304836 + 6*h**2 - 9762304836.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-48)\/10 - (-18)\/(-90). Let c(a) = -5*a + 1. What is the units digit of c(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2\/3))**(-28))**(-33)\/(((r**(1\/2)\/r*r*r)\/r)**(-5)*(r*r\/(r\/(r\/(r*(r\/(r\/r**(2\/3))*r*r)\/r*r*r))))\/r**2) assuming r is positive.\nAnswer: r**(-3653\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 82519 is divided by 13745.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-6)*(-3)\/(37\/(-777)*-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 - 11*x - 2. Let c(s) = s**2 - 12*s - 3. Let a(l) = -4*c(l) + 5*u(l). Let g be a(7). Solve -g*f + 4*f = 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -10*v**2 + 9*v + 201. Let q(b) = -3*b**2 + 3*b + 67. Let k(r) = 7*q(r) - 2*z(r). What are the prime factors of k(0)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*c - 12*c + 34*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/((z*z**2*z)\/z))\/z)\/z**(-4))**(5\/9) assuming z is positive.\nAnswer: z**(5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -257, -0.4, 5.\nAnswer: -257, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 192\/(-18)*(-25 + (-4796)\/(-176)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -4*p + 0 + 0. Let a be 10\/(6\/9*3). Suppose 0 = -a*f, -4*f + 0*f - 10 = 5*t. What is c(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 u when two letters picked without replacement from {o: 1, g: 1, u: 1, e: 1, r: 2, h: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-34) - ((-32792)\/(-136) + 0). Let z = 239 + n. Let g = -5\/14 - 1\/7. What is the biggest value in z, g, -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -32 + 10. Suppose -x = 3 - 1. Let r be (b\/4)\/(1\/x). What is the highest common factor of r and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30 - 390*t + 686*t - 288*t.\nAnswer: 8*t + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2161 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of 1\/150*x**5 + 1\/10*x**4 + 6*x**2 + 0*x - 16\/15*x**3 - 4. Determine d, given that z(d) = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-4)\/10 - (-136)\/(-10). Let x = g - -20. Suppose -3 = m - x. Solve 4*f = 5*f - m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 5 = -h, -q + 5*h = 2*q - 25. Suppose q*n = -n + 2. Suppose 19 = x - 3*s, 7*x - 5*s = n*x + 95. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18 - 14. Suppose 3*t = -2*u + 6, t - 3 - l = u. Suppose -i = 3*k - 8 + 2, -5*k - t = -3*i. Solve -2 = f + k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-22\/5)*g)\/(g\/(g\/(g*g**(1\/16))))*g**(-26)*((g*g\/g**(-1\/12))\/g)\/g)**(2\/5) assuming g is positive.\nAnswer: g**(-7291\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 15*t**2 - 5*t. Suppose 0 = 26*s + 14*s - 200. Let x(d) = -16*d**2 + 4*d. Calculate s*x(h) + 4*u(h).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -11 (base 8) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 1 (b) 2 (c) 40 (d) -16 (e) 5 (f) -7\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the first derivative of -n**2\/2 + 1. Let v = 380 - 354. Suppose t + 39*f = 42*f + 9, 2*t + 5*f + v = 0. Give p(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 53\/12 - 31\/6. What is the closest to 0 in -7\/2, -2\/13, v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -23 - -36. Calculate the remainder when 90 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1553 = 9*y - 1723. Suppose 4*j = -2*v + 132 - 28, 5*j - 5*v = 160. What is the greatest common divisor of y and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24 = -172*r + 180*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 16 - 4 = 0. Suppose o + 3*o - s = 21, 12 = k*s. Let 3*p**5 + 0*p**4 - 2*p**5 - 4*p**4 + o*p**3 - 4*p**2 + p = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q**3 - 8*q**2 + 8*q - 5. Determine v(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1302 in -4, 4, -1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4\/3, -33, 0.4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*y + 449 + 231 = -22*y for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 586794 and 44486?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = -5, 3*n - 1665 = 2*k - 454. Suppose -97 + n = 9*z. Suppose z*g - 8*g**3 - 10 - 56*g**2 + 64*g**2 - 2 + 2*g**3 = 0. Calculate g.\nAnswer: -2, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 37547.21 decades to millennia.\nAnswer: 375.4721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*x = 21*x + 88030 - 88202. Let v = 0.8 + -3.8. Suppose 5*n - 5*u = -22 + 2, -n = -2*u + 7. What is the closest to n in 2\/11, x, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(396) + -2*sqrt(396))**2.\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 89*q + 27. Determine i(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 246\/9*3\/2 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 18703.19193 times -0.4?\nAnswer: -7481.276772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = 191 - 191.4. What is the second biggest value in 0.5, 26, -3\/4, -0.3, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 7474861*o - 13. Let y be z(12). Let b = y - 133556122. Let h = b - -21657803. What is h rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 2*d. Let o be v(-2). Let w = 9 + o. Solve w = k + 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w\/(w\/((w*(w**(-17)\/w)\/w)\/w)))**(-33) assuming w is positive.\nAnswer: w**561","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes before 1:45 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10470 and 16.\nAnswer: 83760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4276 - -4919.8. What is v rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 4*c**2 - c - 152. Let a be (-1*2)\/(6\/(-9)). Let l(w) = w**2 - w + 1. Let s(q) = a*l(q) - x(q). What are the prime factors of s(0)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 at least 5\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -3*g - 5*l, 5*g + l - 13 - 38 = 0. Calculate the least common multiple of g and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-10)\/20)\/(1\/(-76)). Let w be (3 - 1) + (2 - 2). Suppose -2*s - w*g = -k, 5*s - 2*g = s + 52. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 36\/(-630)*(-22 - -2). Let r = -26\/35 + f. Let g be (48\/(-10))\/((-1)\/(-5)). Which is the biggest value? (a) 4 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, -48, -138, -304, -570, -960, -1498?\nAnswer: -2208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95*d**3 + 41*d**3 + 51*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28691\/(-4414)*(-76)\/13*((-2)\/24)\/1.\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.5 - -2.91\nAnswer: 2.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 111112 + -112100?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23427 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -3*f - 0*m + 5, 3 = 4*f - m. Let k be 0\/(-1 + (-1 - -1)). Solve k*y - f = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 4, s: 1, t: 9, l: 1, i: 5}. Give prob of picking 1 i and 3 j.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25483016?\nAnswer: 2, 13, 245029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 879674.\nAnswer: 2, 569, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the first derivative of 0*z + 1\/3*z**3 + 0*z**2 - 3\/4*z**4 + 2. What is the third derivative of y(q) wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:56 PM and 11:05 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -631, 1, 8 in decreasing order.\nAnswer: 8, 1, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 - 18*q - 19. List the prime factors of k(-11).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -2 (b) 4\/63 (c) 26 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**3 - 65*o**2 - 130*o + 200.\nAnswer: -5*(o - 1)*(o + 4)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6254889 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let g = 1208 + -844. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-5)\/(-924))\/(((-1)\/3)\/(836\/(-33))) and -127\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 9*b. Let c(p) = 5*p. Determine 5*c(m) - 2*y(m).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.092 - 0.082. What is the smallest value in 3\/5, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3064*c - 3067*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 97 + -283 + 97 - -82.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -7*w**3 - 12*w**2 - 2*w. Let k(v) = v**3 - v**2 + v + 1. Let z(i) = -a(i) - 6*k(i). Does 30 divide z(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2069300 rounded to the nearest ten thousand?\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {c: 1, a: 2, l: 6, g: 1, m: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -260, -1, -3, 3\/7?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*r**2 + 138*r**2 + 15*r**2 + 19*r**2.\nAnswer: 160*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -8.3 times -97\nAnswer: 805.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -0.75 smaller than 65209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Suppose 27*m = 2604 + 2850. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-120)\/15*14*(-2)\/72. Is u greater than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7760 or 7761?\nAnswer: 7761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -64 - -148732?\nAnswer: 148657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p\/p**22))\/(p\/p**(-1\/4)) assuming p is positive.\nAnswer: p**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -71648 divided by 1\nAnswer: -71648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -12*i - 50 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 53*g + 20. Let a be (-3)\/(-3) - (16\/4 - 5). What is the hundreds digit of k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 117877 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: Calculate prob of picking 1 k and 3 n when four letters picked without replacement from ynnkyyykynnynyyi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 5*w**2 - 302460*w + 4574102580 = 0.\nAnswer: 30246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 475684 is divided by 237764?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 2:11 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of 0*j**3 - 25\/21*j**4 - 57*j**2 + 1\/735*j**7 + 0*j + 8\/21*j**5 + 0 + 19\/420*j**6. Factor y(v).\nAnswer: 2*v*(v - 1)*(v + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 93646 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + -6a?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-50)\/(-5)*(-894)\/(-5215).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 54 = 2*l, 4*b - 4*l - 29 = 3. Suppose -3*j = -b - 17. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18 + (-10 - (14 + 13)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -2*z + 5. Let s be m(8). Let n = -15 - s. Which is the closest to -3? (a) n (b) 4\/3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 660 or 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41729.\nAnswer: 41729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the first derivative of -7*l**2 + 0*l + 0*l**3 + 12 - 1\/60*l**4 + 1\/450*l**5. Let i(g) be the second derivative of c(g). Solve i(p) = 0 for p.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: ((2436\/(-210))\/29)\/(((-3)\/(-35))\/3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8543 - 13197. Let o = a - -218706\/47. Calculate the common denominator of o and 71\/2.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -57*m**3 - 4*m**2 - 8 + 0*m - 55*m**3 + 132*m**3 + 0*m to the form c*m**3 + p + f*m**2 + v*m and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -207630*x - 17440932. What is v(-84)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 7, t: 6}. Give prob of sequence otot.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Add together 1542204 and -1.393.\nAnswer: 1542202.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 2884404193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 0.03 > 119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 115121547?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0014027 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 99867651 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -4207.5 to the nearest 10.\nAnswer: -4210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/15 + (-24)\/10. Let s be (2\/2)\/((-1)\/j). Suppose -82 - 32 = -s*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 163 divide 18464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**2. Let b(a) = -6353*a. Determine b(x(y)).\nAnswer: 6353*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -483*q + 4. Let d(y) = 162*y - 1. Determine -8*d(o) - 3*i(o).\nAnswer: 153*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3371, -13458, -30261, -53774, -83991, -120906, -164513, -214806?\nAnswer: -271779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 37214303647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -899 divided by 1500.\nAnswer: -899\/1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 9 + -30853837953.\nAnswer: -30853837944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = -2*s - 5 - 9, 2*a = -4*s + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3313413 (base 5) to base 14.\nAnswer: 16c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - -73 - (-17 - -12)) + 1 + (3 - 0)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 6 (base 10) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.2011 + 0.7989. What is the closest to 4 in -2, 2\/13, 96, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 5*p - 6. Let t(r) be the first derivative of -2*r**2 + 5*r + 7. Determine 6*j(k) + 7*t(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1 - (-819)\/56 - 3\/(-8). Suppose -19*f = -p*f - 135. What is the highest common divisor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -14.75 - -1.05. Let k = m + 47.5. Let q = k - 34. Which is the nearest to 2? (a) -1\/4 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 330\/2860*-39*15\/(-18)\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 26382 or 79142\/3?\nAnswer: 79142\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 6:10 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 300 and 12060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*l = 5*l + 15, -5*v - 5*l + 50 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7620 + -6099?\nAnswer: -116b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**3 - 9*a**2 - 10*a - 33. What is c(-8)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -44300 + 64706. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 9*n - 2. Let h(p) = -76*p**2. What is h(v(o))?\nAnswer: -6156*o**2 + 2736*o - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(1*2\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 3\/7 (b) -7\/2 (c) -2\/1003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:56 AM and 7:18 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 703893310?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9739 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 25294870\/3 less than 8431622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -51937000 to the nearest one million.\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -5*x + 20*x + 5*x in the form r + i*x and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*g**4 + 127*g**2 - 238*g**2 + 111*g**2 - 3*g**3 - 335*g wrt g.\nAnswer: -48*g**2 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 63*w - 39. Let j(p) = -34*p + 20. Let v(f) = 6*g(f) + 11*j(f). Give v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*j**2 - 4*j**2 + 10036*j**3 - 5033*j**3 - 5012*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2, 2, -244, 4 in decreasing order.\nAnswer: 4, 2, -2, -5, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*g - 13*g + 0*g to the form i*g + d and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*a + 0 + 2\/9*a**2.\nAnswer: 2*a**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5672 = 2*i + 3*t, -1209 = -4*i + 3*t + 10117. List the prime factors of i.\nAnswer: 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 28*-1 + (-4 - -3). Let i = -17 - v. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -761 divided by 1.\nAnswer: -761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 29432 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be 110\/36 - 46\/(-92). Suppose -b + 2\/3*l**3 - 12*l - 34\/9*l**2 = 0. Calculate l.\nAnswer: -2, -1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 - 17b7409?\nAnswer: -17b7407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-38)\/(-8))\/((-20)\/(-16)) + -3. Let d = -3 + 6. Let v be (2\/8)\/((-6)\/(-16)). What is the nearest to d in v, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0\/(1 - -5 - 496\/62)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21\/(-14))\/((-18)\/(-24))*(-2356)\/(-76).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13732.837554453 + -0.187482453. Let o = -13725.65 + q. Let d = 7 - o. What is d rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -40, -88, -148, -226, -328, -460, -628?\n\"Answer: -b**3 - 41*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 10219 by -1.\nAnswer: -10219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r - 8. Suppose 2 = 3*b + 20. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.52 - 0.45. Let g = 2 + x. Let u = g + -0.029936. Round u to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the second derivative of -h**5\/40 + h**4\/8 + h**3\/3 - 3*h**2 - 37*h. Factor n(m).\nAnswer: -(m - 3)*(m - 2)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (279\/75 - 5 - 0)*30\/12?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*j + 2*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 4*r + 1. Let j(p) = p. Suppose 3*s - 3 = -9, 5*s - 4 = 2*i. What is i*j(l) + 2*b(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 113584066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-76)\/1064*4\/4.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from tzpfmfpn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.7 + -2. Put -1\/3, 2, z in descending order.\nAnswer: 2, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -3*h. Let k(g) = 74*g**2. Calculate k(b(c)).\nAnswer: 666*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -88316 + -10a?\nAnswer: -88425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 16855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the second derivative of -2*s**3\/3 + 15*s**2\/2 - s. Let u = -1 - 21. Let w(l) = 2*l + 3 + 3*l - 6*l + 1. Give u*w(f) + 6*m(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -898*s**2. Let h(u) = 30*u**2 + 135*u**2 + 29*u**2 - 190*u**2. What is h(z(q))?\nAnswer: 3225616*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be -15*40\/144*6\/(-1). Put 6, d, 0 in decreasing order.\nAnswer: d, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 286\/113 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 2 - 1 = 0. Let b(i) = 6*i**2 - 2*i + 1. Let p(j) = j**2 - j + 1. Let w(y) = v*b(y) - p(y). What is the units digit of w(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -1.5. Let d = 127.4 + -127. What is the smallest value in 16, d, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6612059 decades to years.\nAnswer: 6.612059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 n, and 1 x when three letters picked without replacement from kbxtbktbbtktnkk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -h**3 - 4*h**2 + 124 - 253 + 130 in the form n*h**3 + m + t*h + k*h**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be (4099 + -13)\/6 + 2\/2. Suppose 60*o = 458 + h. Calculate the remainder when 1101 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*o = 28*o + 598. What is the second derivative of -42 + 114 - 34 + o*n - 79*n**2 - 37 wrt n?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -21 - 43 + 17 + x - 26 to v*x + l and give l.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 28 and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 4255 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 24*b**5*j**3 + 9842*b**3*j**3 - 142*b*j + 156*j**3 wrt b.\nAnswer: 480*b**3*j**3 + 59052*b*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 27\/5 of a day?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -46\/243 and -19\/23211078?\nAnswer: 1880097318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 4\/(-8) + 33\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**3. Suppose -2*b - b = 0. Let n be j(b). Suppose n = -3*a - 9, -3*y = -3*a + 5*a + 2040006. Round y to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 2*p - 2, p = -4*p - 5. Let o = 0.34 - 2.84. Let i = o + 2.5. Which is the nearest to i? (a) r (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 PM and 12:07 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (27*c + 11 - 8 + 6)*(0*c**2 - 3*c**2 + 2*c**2) in the form u*c**2 + g*c + o*c**3 + a and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -5481, -43555, -146613, -347055, -677281, -1169691, -1856685, -2770663?\n\"Answer: -5400*m**3 - 92*m**2 + 2*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6928723.\nAnswer: 647, 10709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5.9 in 2\/5, 0.1, -2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -10183, -10383, -10591, -10807, -11031?\n\"Answer: -4*w**2 - 188*w - 9991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -516.15 - -516. Which is the third biggest value? (a) 4 (b) -1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 99 = -n - 3*a, 0 = -a + 5. Let m be 2214\/n - (-6)\/(-14). Let z be m\/14*(-2)\/(-3). Let h(b) = 5*b - 6. What is h(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 803*y + 16*y - 2549 = -9920. Which is bigger: -22 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -57 - -57.97. Let u = h - 1.44. Let i = -0.17 - u. Which is the second biggest value? (a) -0.5 (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 181949, 177086, 172223, 167360, 162497?\n\"Answer: -4863*w + 186812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p - 3 + 3)*(1 + 3 - 3) + (0*p - 4*p + 2*p)*(-30 - 1 - 5).\nAnswer: 70*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - 2. Let i be (-2 - m)*(0 - -2). Factor -8\/5*k**3 + 0 + 7\/5*k**i - 2\/5*k + 3\/5*k**4.\nAnswer: k*(k - 1)**2*(3*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*u + 3*g - 72, 55 = -2*u + 6*g - 69 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 46\/11 and 42\/(-70) + (-2)\/480*-449.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -5*j**3 + 30*j**2 - 79*j + 6. Let q(a) = -a**3 + a**2 - a + 1. Let p(n) = 6*q(n) - z(n). What is the second derivative of p(g) wrt g?\nAnswer: -6*g - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -h**3 + 9*h**2 + 5*h - 8. Let q be a(10). Let l = q - -83. What is the highest common factor of 75 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/(d*d*d**(-2\/27))*d**(1\/15))\/(d\/((d**(-7)\/d*d)\/d)*d\/(d**(6\/13)*d*d)) assuming d is positive.\nAnswer: d**(-14738\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is b2 + -199?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2276\/133 + -412\/19. Let m(b) = 4*b - 16. Let x be m(3). Which is greater: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -2*u**2 + 4*u - 1. Let q(x) = 3*x**2 - 7*x + 2. Give -5*p(m) - 3*q(m).\nAnswer: m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 - 8*t**2 - 5*t + 1. Let c be ((-6)\/(-4))\/(((-36)\/(-8))\/9). Suppose 3*m = -0 + 3, -3*m = c*d + 18. Calculate v(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -167 - -177. Let q = h + 281. What are the prime factors of q?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*a = a + 72. What is the greatest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (-4 - -3 - 1) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16 + -15. Let x(h) = -15*h**3 + h**2 - 1. Let s be x(m). What is the tens digit of (s + 0)\/((-3)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - i. Let m(k) = 2*k**2 - 9*k - 2. Let o(b) = 3*c(b) - m(b). Let w = -7 + 2. Give o(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k - 2*g + g + 273, 1365 = 5*k - 2*g. Suppose a - k = -6*a. Let v = 71 - a. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 212250*o + 83941*o + 122750*o - 75196*o.\nAnswer: 343745*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 114? (a) -1 (b) 14 (c) -0.011 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -83, -173, -265, -359, -455, -553?\n\"Answer: -h**2 - 87*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 8405837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 8440369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1531382358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -325, -1385, -3171, -5677, -8897?\n\"Answer: a**3 - 369*a**2 + 40*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 8 (b) -35 (c) -9 (d) 3\/5 (e) -376\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -38 - -39. Sort 2\/15, q, -6 in increasing order.\nAnswer: -6, 2\/15, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 9:06 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g. Let c = 3 + -9. Suppose 28 = 4*i - 5*u, i + 0 = -u + 7. Let d(t) = -t. Let l(b) = c*d(b) + i*s(b). Let x(k) = 2*k**2. What is l(x(y))?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -2\/7 (c) 22\/21 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes before 1:37 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*i*m**3*v**2 - 4*i*m**3*v - 2*i*m**3 - i*v - 125*m**3*v**2 + 1196*m**3 - 580*v**3 + 1 wrt v?\nAnswer: 4*i*m**3 - 250*m**3 - 3480*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/((-9)\/((-54)\/(-48)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 4*b - 30, 3*q + 30 = -11*b + 6*b. Let i(y) = -2*y**3 - 7*y**2 + 10*y + 29. What is the thousands digit of i(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -26*c**3 + c**2 + 3*c + 22. Determine m(-3).\nAnswer: 724","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by 3645199.\nAnswer: -6\/3645199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -3 + 4 - 1 + 16*s as o + u*s and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 5) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 625 = 5*t + 638, 3*a + 2*t + 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*b + 4*b - 3*b - 7*b + 5*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 12.1909 less than 0.24938453?\nAnswer: -11.94151547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uiu when three letters picked without replacement from {n: 1, r: 4, i: 1, u: 5, p: 3}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.4, -1\/2, -0.32, -21.31, -1.15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 - 87*j**2 - 5*j - 5. Let g(x) = x**3 + 131*x**2 + 8*x + 8. Give -5*g(m) - 8*p(m).\nAnswer: 3*m**3 + 41*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 + 55*o**2 + 778*o + 680. What is j(-25)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 123\/7, -0.4, -17, -16 in ascending order.\nAnswer: -17, -16, -0.4, 123\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 23 + -8. Suppose -35 = -3*x + 1. Let g be (1072\/x)\/(1\/c). Round g to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -6*t. Give y(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 PM and 11:21 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 1 + 5)*(4*x**4 - 6 + 6) + 1882*x - 1882*x - 49*x**4 in the form q*x**2 + z*x**3 + k*x + j + o*x**4 and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -2*o + 2. Let a = 1 + o. Let q be (7 - a\/2) + 1. Calculate the greatest common factor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1691436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**3 - 6*c**2 + 6*c - 5. Let p be u(5). Let l = p - -3. Let z = 8 - l. Let k(q) = q**3 - 6*q**2 + 3*q + 7. Calculate k(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -979.13 and -51539.\nAnswer: -52518.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + m**2 + 3*m**2 + 4 - 1.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1742 divided by 26\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*t = 18*t - 854. Let w = t - -133. Let s(m) = m**3 - 13*m**2 + 25*m - 3. Let a be s(w). Calculate the greatest common divisor of a and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.1 - -3.9. Let f = 12566 + -12566.031. Which is the biggest value? (a) f (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 350988*o**5 + 2*o**4 + 2174*o - 65 wrt o?\nAnswer: 7019760*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 258167 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -1 + 0*q**2 - 3*q**3 + 3*q**2 + 2*q - q**2. Determine h(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 2 = -1. Let l(u) = -u + 1. Suppose 40*o + 96 = 88*o. Let a(d) = -d. Determine m*a(j) + o*l(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -137*h**3 - 4*h**2 - 3*h + 6. Let t be g(-2). What is the greatest common factor of t and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -73*j**2 + 2*j - 5*j**4 - 2*j + 60*j**2 wrt j?\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -404\/1183879 or -1?\nAnswer: -404\/1183879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -p + 6, -4*u + 2*u = -2. Solve p*f - 2*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -15 + (8 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -467239, 3, -5, -1\/6, 0.4?\nAnswer: -467239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/628560 and 121\/18624?\nAnswer: 2514240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1235, 8052, 19405, 35288, 55695, 80620, 110057?\nAnswer: 144000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 1131547.52 to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*t**2 - 7*t**3 - 4*t**3 + t**2 - 6*t**2.\nAnswer: -11*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 - 8*f**2 - 2. Let n be k(-8). Let o be (5 - 6)\/((-3)\/6). Sort n, o, -1 in ascending order.\nAnswer: n, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 148 + -713\/5. Let b = 483\/95 - w. What is the common denominator of b and 19\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1262 = 10*o + 1222. Put -113, o, 26 in ascending order.\nAnswer: -113, o, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 45 - (-10 - (2 - 43)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -779, -3105, -6981, -12407, -19383?\n\"Answer: -775*k**2 - k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 + 46. Suppose -5*w + 3*o = 30, 0*o = 5*w - 4*o + t. Let f be 0\/2 + (-2)\/w. Which is the smallest value? (a) 1 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 10*b**3 + 1 - 11*b**3 - 237*b + 229*b + 9*b**2. Let l = -6 + 14. Let r be x(l). Solve -3*k + 2*k = -r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0404 - -244.0404. Let o = v - 242. Which is the closest to 2? (a) -2 (b) o (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes before 4:17 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**2 - 6*d - 5. Suppose r - 2 = 2*t - 4, 0 = t - 2. Let z be r + (-2)\/(-1) - -1. Suppose -j - 3*h = -7, -3*j - z*h - 4 = -25. What is q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -5*s - 94*s**2 - 3*s + 9*s + 163*s**2 - 99*s**2. Let r(n) = -3*n. Give r(d(o)).\nAnswer: 90*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1*3)\/(5 - (-789)\/(-156)). Factor 0*f + 54*f**5 - q*f**5 - 4*f**3 + 2*f.\nAnswer: 2*f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 885 and 3552980?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) + sqrt(7) + 0)*2 - sqrt(1008)*-1)**2 + (-1 + sqrt(7) + -1 + sqrt(7) + -4*sqrt(14)\/sqrt(2))**2*-6.\nAnswer: -48*sqrt(7) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -2*y + 6. Suppose y + 16 = g. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2) + -2)*-5 - (sqrt(14)\/(sqrt(21)\/sqrt(3)) + sqrt(2)))**2.\nAnswer: -140*sqrt(2) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 6:50 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 76685809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4307 - 4154. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + ((2 + sqrt(567) + sqrt(567))*2 - sqrt(567)) - ((sqrt(567) - (-2 + sqrt(567) - sqrt(567))) + 5 + sqrt(567) + -2*(0 + sqrt(567))))**2.\nAnswer: -54*sqrt(7) + 5104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 875653?\nAnswer: -3\/875653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(4) + sqrt(36))*-5 + sqrt(4))\/(sqrt(2) + 1*(sqrt(2) + sqrt(8))).\nAnswer: -19*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 328*p**2 + 75*p + 142. Is d(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 8*g**3 - g. Let h be (-28)\/(-28)*(255 - 0). Let j = h - 256. Give m(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 826 = -4*u, -801 = -604*x + 606*x - u. Which is smaller: -2018\/5 or x?\nAnswer: -2018\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 844\/(-24) + 3\/18. Let z be 4\/(-14) - (-25)\/y. Which is bigger: 1\/11 or z?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 434 - 296. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 3 (c) -1\/12 (d) 2\/3 (e) 8 (f) -30 (g) -8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (38 - (-138520)\/(-3600)) + 6\/(-20)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from ddddoddddodoodddod.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1970567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**3 - 8*b**2 + 21*b + 6. Let w(f) = 21*f**2 + 110*f + 15. Let p be w(-5). Give n(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 31 in -0.3, -1\/4, -0.4, -3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 4, q: 6, c: 2, s: 2, r: 1}. Give prob of picking 1 s, 1 q, and 2 c.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -2, -46570, -16 in ascending order.\nAnswer: -46570, -16, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*x - x - x + (2*x - 4*x + 4*x)*(-5 + 0 + 4) + 2*x - 6*x + 2*x - 4*x - 2*x + 0*x + (2 + 0 + 2)*(2*x - 5 + 5) to p + k*x and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 8, n: 2, x: 1, t: 5, z: 1}. What is prob of picking 1 z, 1 x, and 1 n?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 318 (base 9) to base 14\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyyiyxyixyyxyiiy. Give prob of sequence yix.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -0.703, -0.2 in ascending order.\nAnswer: -2, -0.703, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*s - 6*s - 104 = 0. Let w be (-4)\/10 + s\/(-10). Put -5, 0, w, -1 in decreasing order.\nAnswer: 0, -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) be the third derivative of -5*i**2 + 1\/12*i**4 + 0*i**3 + 0 + 0*i + 0*i**5 + 1\/60*i**6. Find the second derivative of x(h) wrt h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.142 - 231.758. Let c = s - -232. Which is smaller: c or -0.222?\nAnswer: -0.222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 315\/(-1755) + (-2)\/13.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**3 - 3*b**3 + 4*b**3)*(-183 - 86 + 17).\nAnswer: -504*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6757 and 2426695?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 45*y**2 + 5*y**3 + 37 - 93*y**2 - 11 + 27*y**2. Let r(x) = 6*x**3 - 21*x**2 + 27. Let g(z) = 5*n(z) - 4*r(z). What are the prime factors of g(21)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10689 times -0.023?\nAnswer: 245.847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1307070 and 423?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (1171\/(-1171))\/((-6)\/64*(-4)\/6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 2 v when four letters picked without replacement from {d: 7, v: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -1.1389912 to three decimal places.\nAnswer: -1.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11099 and 704?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -2*j - 0*j. Let y = -194 + 194.079. Let u = -2.079 + y. What is the closest to j in u, -0.16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 249 is divided by 82\/3 - (-2)\/3.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -25884*t**5 - 7*t**4 - 4991303*t?\nAnswer: -517680*t**3 - 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 3*p + r, 0 = -4*p + 4*r + 14 + 14. Let j(t) = -t + 5*t - p*t + 0*t. Calculate j(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 18 - 14. Solve 2*n + 5*j = 0, -3*n + y*j + 21 + 2 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*a - a - 2*a)*(9418*a**2 - 3*a - 64*a + 1 - 9419*a**2 - 73*a) to r*a**2 + p*a + d*a**3 + t and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -178*p + 2988 - 795 = -49*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = n - 5. Suppose n*b + 7 - 19 = 0. Suppose -4*w + 2*q + 16 = b, -q - 10 = -4*w. Solve w*i - 4 = -0*i + 2*c, -4*i + 8 = 3*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -981 in -0.13, -0.1, 3\/7?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -72594 = -w - 72596 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 5*z + 1280. Let m(k) = -5*k - 1363. Calculate 3*m(s) + 4*u(s).\nAnswer: 5*s + 1031","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 + 4 = -5*j. Let c = 3 + j. Let y be 30\/(0 - -5)*6. What is the highest common divisor of y and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - 5) + 40 + (-124 - -113)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9959 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.2 + 0.33. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o = -4*l + 12, -917*o + 11 = -913*o + 3*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*i**2 + 23*i**2 - 16*i**2 - 11*i**2.\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 87*r + 91*r - 178*r - 765*r**2 - 668*r**2 as t*r**2 + f*r + s and give t.\nAnswer: -1433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 16.81?\nAnswer: -16.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17651520 - 43646880 = 24*x. Round x to the nearest 10000.\nAnswer: -2550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 148 a factor of 765503064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -14070*l**3 - 14*l**2 + 32*l - 48. Let i(c) = 8040*c**3 + 8*c**2 - 18*c + 27. Calculate -9*d(k) - 16*i(k).\nAnswer: -2010*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -605625905*g**2 + 37*g - 758729 wrt g.\nAnswer: -1211251810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1\/((-194)\/(-40) - (-3)\/(-6)*70\/140)\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -u + 5*h + 4, 2*u - 4 = 2*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2291480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*h + 6*h = 3612. Calculate the highest common factor of 448 and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - 23 = 3*w, -5*s - 7*w + 147 - 179 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2039 + 0.1989. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 PM and 12:59 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - (-4 - -8 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 9*o. Suppose 0 = k - i - 2 + 6, 3*i + 20 = -5*k. Let l(p) = -p. What is k*v(x) - 42*l(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.66398 rounded to 3 decimal places?\nAnswer: 0.664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -60226 (base 8) in base 13?\nAnswer: -b340","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1017 is divided by 102.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 851 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6773 or 6772?\nAnswer: 6773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 67*t + 906 = 41*t - 784 for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 3) + (-1)\/(-4) - 24\/96*201.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*r + 65 = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/(-5))\/3*(0 + 15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kow when three letters picked without replacement from llzlzozzwzkzlwkzlo.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**2 - 9*q + 10. Let p be h(8). Suppose -5*o - 4*d + 21 = 0, p*d - 8 = -o - o. Solve -n = 0, 2*n - 5*n = -o*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -233353 + 135353. Round l to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/((-3)\/4)*(4 + -3). Let b = q - 4. Let 2\/3*v**4 + 2\/3 - 4\/3*v**2 + b*v + 0*v**3 = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.99 - 3. Let n = 1.01 + p. Let f = 12.02 + -16.02. What is the second biggest value in n, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 15526.7598*2\nAnswer: 31053.5196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 27*s + 85. Let n be a(-3). Solve -3*b = -0*p + 5*p + 4, n*p = -5*b + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*m + 24*m - 140 = 0. Determine n so that -4\/5*n**3 + 2\/5*n**m + 0*n + 0 + 2\/5*n**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 + 3*m**2 - 2. Let h be l(-1). Suppose 0*g + 232 = h*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -14 (base 16) to base 3.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 17496570 and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*o - 1840*r - 50 = -1839*r, 5*r = -2*o - 151 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - -1 - (8 - (18 - 7))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -2.04849 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -153*n**3 + 306*n**3 - 155*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -172 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(2\/21)*i**(-7\/3))**(-35) assuming i is positive.\nAnswer: i**(235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 2*g - 3 + 9 - 2. Determine w(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2 + 3*t - 2*t**3 + 2*t**2 - t**3.\nAnswer: -3*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.1715 - 0.0715. What is the closest to p in 4\/7, 1\/2, 2\/249?\nAnswer: 2\/249","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-3)*102\/(-1224).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 48*i**3 - 3*i + 3*i + 3967*i**2 + 3980*i**2 - 7947*i**2.\nAnswer: -48*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -67449 rounded to the nearest 100?\nAnswer: -67400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4647*a + 215343 + 148027 - 33332 = 23336 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5952738 and 36.\nAnswer: 35716428","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10620?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -19125035 and -4?\nAnswer: 76500140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 118\/52625 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 143 + -138. Suppose 0 = -5*h + 4*u + 63, h + 2*u + 9 = 2*h. Solve 4*k = -2*i + 14, s*i + 5*k = -0*k + h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2593 is divided by 840?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**2 + 19*n - 16. Let d be p(18). Solve 0 = -d*w + 11 - 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 100, 198, 296, 394, 492, 590?\n\"Answer: 98*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 427 = 5*s + 3*h, s + 2*h - 95 = -h. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.5 - -0.39. Let o = 0.41 + b. Sort o, -0.5, 2\/3 in ascending order.\nAnswer: -0.5, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(833)*4 + sqrt(102)\/sqrt(600) + sqrt(17) - (sqrt(119)\/sqrt(7)*-6 - (sqrt(1377) + 3))**2) + 2.\nAnswer: -3832 - 609*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -4*y + 8. Sort 5, y, -5 in descending order.\nAnswer: 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -115 - -76. Let d = 39.00074 + h. What is d rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 210*i - 620. Let x be k(3). Suppose -2150 = -5*f - 0*f. Calculate the greatest common divisor of x and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/6698 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -26328 = 2445*v + 846*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*a**2 + 17*a**2 + 4*a**2)*(0*a + 3*a - a + (-2 + 4 - 1)*(a + 0*a - 2*a) - 97*a + 37*a - 57*a) in the form m + k*a**2 + n*a**3 + o*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 43, 1\/5, -25 in ascending order.\nAnswer: -25, 1\/5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -2, -0.828?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*((-9)\/(-3) + -3). Let o = -7 + 11. Differentiate -5 - 5*k + w + o + 6 with respect to k.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 215401 = -334*g + 193691 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p**(2\/23))\/(p*(p\/(p*p*p*p*p**(5\/7)\/p))\/p*p*p))\/((p\/(p\/(p**2*p)))\/p*p*p\/(p\/(p*p**(-8)))*p*p*p) assuming p is positive.\nAnswer: p**(612\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 41032 and 669?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (14\/(-14) + 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**2 - 5*y + 1. Let b be o(5). Suppose w = 8 - b. Let j(n) = -44*n - 1174. Let x be j(-27). What is the greatest common factor of w and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = d**3 - 34*d**2 + d - 29. Suppose 18*u = 10*u + 272. Calculate c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8111*c + 11398 = 7972*c for c.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 5*a + 15, 0 + 10 = 2*l - 3*a. Suppose -l*y + y + 72 = 0. What is the units digit of 7\/((-105)\/y)*-5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6048 + -31465215.08?\nAnswer: -31459167.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -26*o + 9*o. Suppose o = -p + 5*y + 173, -7 = -5*y + 3. List the prime factors of p.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 261313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/(-245))\/(825\/385)\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 3859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -3488*v + 69019. Give o(20).\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 15455 (base 6) to base 9\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from {a: 3, p: 3, w: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/2)\/((-16)\/384*-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 482016 is divided by 421?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.6, -1, -2, 4, 0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 314490 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010100 - -1001111001110101010011?\nAnswer: 1001111001110111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-457)\/(-1)*(8 + 9 + 1)?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 + -7 - -5) + 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1464731\/5 - 1239139001\/4230. Let k = y + -195\/47. Let p = 14785 + -177535\/12. What is the common denominator of k and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {h: 3, t: 4, u: 1, x: 1, e: 4}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 37 + 44 = 0. Suppose 2*o = -o + y. Solve b = -2*d - o, b = 3*b + 2*d + 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 631.112 millimeters to micrometers.\nAnswer: 631112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -143562 by -38.\nAnswer: 71781\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1650115 - 55*w - 3*w - 1650115 + 8878*w**3 - 127*w wrt w?\nAnswer: 53268*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 0. Suppose 25*k - 29*k + 16 = g. Suppose 0 = -z + k*d + 5, 2*z + 2*d = 4 + 16. Solve 3*w + a + 6 = 0, -3*a - z = -0*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 419915 by -5.\nAnswer: -83983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 503.566162 rounded to zero dps?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 - -442234?\nAnswer: 442235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 25, 49, 119, 259, 493, 845?\nAnswer: 1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from totttotottootototf. What is prob of picking 1 o and 2 t?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1250426148 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = -5*t. Suppose t = 3*k + 15 - 21. Let j(r) = -r - 16. Let h(g) = -1. Let y(x) = 6. Let q(v) = 3*h(v) + y(v). What is k*j(b) + 11*q(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 - 14*b**2 - 14023*b - 210576. Give i(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 4346, 17372, 39080, 69470, 108542, 156296, 212732?\n\"Answer: 4341*d**2 + 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jtiiatjtotojoovij. What is prob of picking 1 v, 2 i, and 1 t?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 12720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 116 a factor of 3828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2917221993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1378634 is divided by 9999.\nAnswer: 8771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 228 and 17436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8855 + -308. List the prime factors of k.\nAnswer: 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -351024*s**3 + 176761.\nAnswer: -1053072*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 392 + 538 = 0. Let t = q + 321. Solve -t*y + 15 = 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express x**2 - 1293*x + 9*x**2 + 1299*x in the form l*x**2 + k*x + u and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -6*f**3 + 3*f - 1. Suppose 10 + 5 = -5*r. Let v(s) = -17*s**3 + 8*s - 4. Let t(j) = r*v(j) + 8*m(j). What is the derivative of t(c) wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, e: 4, u: 3, n: 2, c: 2}. Give prob of picking 1 c and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 14) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -189210 = -11174*l + 16580*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 259 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 7*v**3 + 3*v + 5. Let l(h) = 3*h**3 + 2*h + 2. Let t(q) = 47*q - 29. Let c be t(8). Let g = 352 - c. What is g*l(z) - 2*w(z)?\nAnswer: z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -213 + -1?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 + 3. Let y(o) = -3*o + 6 - 2 + 4*o. Let d be y(-5). Is d greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(((sqrt(91) + -6*(1*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91)) + sqrt(91))*-5)\/((sqrt(1008) + -1*sqrt(1008) + sqrt(1008))*-6))**2.\nAnswer: 8125\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47457499 is divided by 3981?\nAnswer: 3979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (-78*j + 100 + 23*j - 101)*(0 + 2 - 4) + 4*j + 24*j - 64*j as h*j + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a97d + 8?\nAnswer: a986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 485*g - 790 = 475*g. What is the remainder when 240 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 70 a factor of 1872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 + 3*y**2 + 2*y + 5. Let x be 0 - -5 - (-1 - -2). Let w be t(x). Let l be 2\/8*2*w. Which is the nearest to -2\/3? (a) l (b) 1\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 294 + -182. Let z(x) = -7 + 3 + j*x + 3 - 119*x. Let o(w) = -6*w + 14 - 14. Give 5*o(i) - 4*z(i).\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/243 (b) -3 (c) 0.1 (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1306 = 12*n + 1282. Solve -n*g - 17 = -19 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4452101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6*10\/16 - 33\/(-132). Solve 5*o + i = 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -147532 (base 10) to base 9.\nAnswer: -244334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 567 and 73289475?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 266*z - 88*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.55 - 0.65. Which is the second biggest value? (a) y (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + (5*(sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 0) - sqrt(1573))) - (-1 + sqrt(1573) + sqrt(1573) + sqrt(1573))*5))**2.\nAnswer: -110*sqrt(13) + 39326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 243509203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 12:25 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 + 24*f**2 - 60*f + 2012. What is q(26)?\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*v**2 + 18*v**2 - 26*v**2 - 20*v + v + 7*v**2.\nAnswer: 12*v**2 - 19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-768)\/16)\/16 - -5. Solve -18 = -4*b + j*x, 2*b + 3*x + 2*x = -21 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -k - 4*t - 82, 53*t + 58*t + 75 = 108*t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26146?\nAnswer: 2, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22, -84, -196, -364, -594, -892?\nAnswer: -1264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 5:24 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -2*a**2 + a + 13. Suppose 8*w + 138 - 34 = 0. Let g(t) = -t**2 + t + 6. Determine w*g(q) + 6*u(q).\nAnswer: q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 5*j - 13, t - j - 16 = 0. Let l = 7 - t. Calculate the least common multiple of (l\/26)\/((-1)\/8) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7130727517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 8 (b) -5 (c) -706\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 201 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 469122.\nAnswer: 2, 3, 41, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -0*p + 24. Let r(i) = 5*i**2 - 3*i + 37. Let x(l) = 8*l**2 - 6*l + 75. Let q(c) = -5*r(c) + 3*x(c). Let b be q(-8). Is p at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/7704 and -41\/701064?\nAnswer: 701064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p + 20, 3*p = 3*l - 28 - 11. What is the remainder when 16 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 12) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 3*g**3 - 10*g**2 - 15*g + 49. Let c(s) = s**3 - 4*s**2 - 5*s + 17. Determine -8*c(o) + 3*r(o).\nAnswer: o**3 + 2*o**2 - 5*o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 1.5, -0.3, 6\/5 in descending order.\nAnswer: 2, 1.5, 6\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 1 = 5. Let o be 1\/(-10)*(5 + -1 + 2). Sort -5\/2, -1\/5, h, o in ascending order.\nAnswer: h, -5\/2, o, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1998, -7915, -17638, -31053, -48046, -68503, -92310, -119353?\n\"Answer: 19*x**3 - 2017*x**2 + x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*w + 73*w - 209 = 41*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1964033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 AM and 11:12 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 28 and 1344399.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 46458904 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -5116 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 PM and 5:45 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) 9 (c) -7\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3114501384556 - 209107622937451511\/67140. Let b = p - 693\/1492. Let o = -1643\/5 + b. What is the common denominator of o and -36\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -5*o + 10. Determine y(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - m = -9, -36*m + 37*m = w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*k + 6 + 12. Let c be 170\/(-51)*k\/(-2). Let s = -26 + 26. Solve -c = i - s*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19 - 4*q**2 - 3*q**2 + 5*q**2 to the form a*q + t*q**2 + z and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-812))\/((3\/(-108))\/((-18)\/162))?\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from {c: 2, r: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 12, 35, 54, 69, 80?\n\"Answer: -2*q**2 + 29*q - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -72, -3\/2, -1.\nAnswer: -72, -3\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-26)\/(-5) - 1\/5. Let l be 20*r*1120000\/10. Round l to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -890 + 1a47?\nAnswer: 11b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 9*g + 1494. Let d(x) = 7*x + 1486. Calculate -3*d(l) + 2*i(l).\nAnswer: -3*l - 1470","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * 395194.42.\nAnswer: 1580777.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13793 + 39054. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 3 + sqrt(13) + 5*(sqrt(13) + -2 + sqrt(13)).\nAnswer: -11 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1250.95 + -1251.2. Which is the closest to -8? (a) -1\/3 (b) u (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9 + -6. Suppose 8*v - 3*v = -f + 21, 4*v = -3*f + 19. Let y(r) = 0 + v + r**2 + 0*r - 1 - 5*r. What is y(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37.2 + -1.02.\nAnswer: -38.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes after 3:53 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 1146*u - 862*u - 134305 - 177531 = -1823*u for u.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -27aa1 (base 12) to base 4.\nAnswer: -31131121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3411524 + -226?\nAnswer: 3411265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 35, 3, 5, 1, -11 in descending order.\nAnswer: 35, 5, 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2404 + -1878. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a + 15. What is v(-75)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/(4\/(-24)*-1). Let v(c) = 2*c + 10 - n*c + 5*c. Let k be v(-10). Solve 0 = -k*w - w - z + 2, -2*w + 16 = -2*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 595955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -102788 - -102790. Find u such that -21\/8*u**4 - 3\/8*u**5 - 21\/8*u**3 - 6 + 3*u + 69\/8*u**l = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1*2*9\/(-6). Suppose -31 = -n - n + o*c, 5*c = -5. Let w = n - 6. Calculate the smallest common multiple of w and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v - 13. Let z be w(17). Let d be (-6)\/z - (-1)\/180*-866. Let g = d + 2717\/558. Calculate the common denominator of g and 7\/10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 2 + 14*h - 1 - 2. Let a be b(2). Let n = a - 4. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27584559 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 285 + -39\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 150143 divided by 21449.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(16))\/sqrt(2))\/(2*sqrt(144) + sqrt(144)))**2.\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gggggogggog.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h. Let u be (-4)\/(5 + (-78)\/18). What is z(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 331 + 2 + (-12)\/4?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - -4. Let p be (4\/15)\/((-2)\/(-6)). Let m = -2 - -2.4. What is the nearest to 2\/7 in p, t, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lqi when three letters picked without replacement from {l: 5, d: 1, q: 3, t: 1, i: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -6618, 4, 13, 32, -28 in decreasing order.\nAnswer: 32, 13, 4, -28, -6618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 23 + -127 + 60 - -65.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.11063+-0.0699\nAnswer: 0.04073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m = 1455 + 459. Suppose -m + 25 = -7*z. Calculate the lowest common multiple of z and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 0 + 0 + v**3 - 6*v**2 - 2*v**3. Let h be -11 - (-114)\/95*(2 + 8). Let z(o) = -o**3 - o**2. Give h*q(a) - 2*z(a).\nAnswer: a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2 - 1098*q.\nAnswer: 2*q*(q - 549)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -70 + 0 = -14*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) 108.4 (b) -4 (c) 1\/8 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - -12 - ((-8 - 0) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 52 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 8.4 + -8. Let c = -0.335 - 0.165. What is the third biggest value in -5, m, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 550, 1063, 1564, 2047, 2506, 2935, 3328, 3679?\nAnswer: 3982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 425 + 125 = 4*i, -2*c + 10 = 0. Suppose -s + 0*n + 131 = -2*n, -i = -s - 2*n. Suppose 0*j - l + s = 3*j, 3 = 3*l. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -65*(82\/(-30) + 3)\/((-72)\/(-54))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.5? (a) 3 (b) -6601 (c) 0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 5*b + 33. Calculate h(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, x: 9}. What is prob of sequence vv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 22639163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 5 = 5*f, 13*f + 2*y = 12*f - 13. Let l be (f\/2 + 46\/4)\/1. Solve l = -12*i + 10*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3*(-2)\/6 + 10. Suppose -3*v + 6 = o, 5*v - o = -b + 27. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 25 + 226 = 5*s, 0 = -i - 3. Let y = s + -38. Let z(b) = -20*b - 26*b - y - 24*b + 69*b. Give z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 4*o. Let i(r) = 389*r**2 + 352*r**2 - 618*r**2. What is i(j(h))?\nAnswer: 1968*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4682, 4706, 4746, 4802, 4874, 4962?\nAnswer: 5066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 1601.5365 months?\nAnswer: 13.3461375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**2 + 8*g + 2. Let b = 55 + -43. Let u be ((-15)\/(-5) - b)*-1. Calculate a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 5*a - 943 = 1367, 3*k - 1727 = -a. Calculate the greatest common factor of k and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1426 - -1448. Suppose -5*o = 5*x - 2*x - 370, x - 72 = -o. Let y be o\/((-1)\/(-2) - 0). Calculate the highest common factor of y and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -13*f**3 + 177*f**2 + 52*f - 365. Give s(14).\nAnswer: -617","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 7 + 27 = 0. Suppose 2*r - 4*r = 5*i + 840, 0 = 3*r. Let h = -166 - i. What is the third biggest value in 0.2, h, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5042362*g - 5042327*g = -1610 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 m, and 1 t when three letters picked without replacement from {v: 3, j: 5, t: 2, m: 1, i: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1 + 77)*(-235)\/(-940). Let m(i) = i**2 + 9 + 0*i**2 + 14 - 17*i. What are the prime factors of m(w)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-2 - (-4 + 8)\/(-20))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 49 + -45. Let r(o) = o. What is r(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(26*(-70)\/(-15015))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -0*n + 5*g, -5*n = 2*g. Solve 6 = -2*t + 3*h, t + 5*h - 16 + 6 = n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + 804 = 13*v. What is the remainder when v is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 0 + 1 = -3*y, 5*y + 4*r = 60. Suppose -y = -4*f + 8*f. Which is bigger: f or -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -m + 1091, -14*t + 11*t + m + 1099 = 0. Suppose 0 = i - 3*k - t, -1589 - 248 = -5*i + 3*k. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**1)**(2\/9)*(h**(1\/4))**(-44)*(h\/h**6*h**5)**20 assuming h is positive.\nAnswer: h**(-97\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = f**3 + 6*f**2 - 2*f - 7. Let s be 6\/33 - (-68)\/(-11). Let j be n(s). Suppose -j*u + 10*u = -10. Is u greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 36 and -1718.\nAnswer: -61848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor w**2\/3 - 3*w - 52\/3.\nAnswer: (w - 13)*(w + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**3 + 14*s**2 + 10*s - 15. Let m be l(14). Let z = -4873\/39 + m. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5*(-4)\/10)\/(1\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in five eighths of a day?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22934 - -54715. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 8 + 104\/(-12) + 17\/3. Suppose -34557 = -3*l + n*r, 3*l - 36173 + 1616 = -r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a5a5 + -12?\nAnswer: a593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 116 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 291*j**4 - 7*j**2 - 231*j + 5. Let y(b) = -b**4 - b**2 + 2*b + 1. Let l(h) = a(h) - 5*y(h). Find the second derivative of l(k) wrt k.\nAnswer: 3552*k**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 166 minutes before 7:32 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 72 = 8*p. Suppose d + 539 = p*d. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -2\/1311, 4, 2\/7, -3 in descending order.\nAnswer: 4, 2\/7, -2\/1311, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjc when three letters picked without replacement from jjjjjjjjjjjcjjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3406318, 6812643, 10218968, 13625293, 17031618, 20437943?\nAnswer: 23844268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1421 (b) -24 (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 9996 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/59 (b) -5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 c, and 1 m when three letters picked without replacement from {w: 3, i: 1, m: 1, f: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**4\/5 + 18*u**3\/5 - 28*u**2\/5 - 48*u\/5.\nAnswer: -2*u*(u - 6)*(u - 4)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = 3*u - 2 + 1, u = -4*v - 13. Let g = -460 + 521. Let z = g + u. List the prime factors of z.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -212\/45 - -91\/9. What is the common denominator of 0 + 50\/22 - 3 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 135162 + -34527. Suppose -5*t + k - 10635 = 0. Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.7 - -1.2. Let x = -137\/5 + 27. Which is the nearest to x? (a) u (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1882 and 191853903?\nAnswer: 383707806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 4 - 1\/2*n**2 + 7\/2*n = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 10*q**2 + 2*q - 4. Suppose -14 = -o - o. Let y be w(o). Round y to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1736776 is divided by 3042?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-5 + (sqrt(847) - (sqrt(847) + 1) - sqrt(847)) + -2)*-6)**2*5.\nAnswer: 31680*sqrt(7) + 163975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -19*o**2. Let j(i) = 4*i. Determine j(d(t)).\nAnswer: -76*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 33*a. Let l(p) = 12 + 46*p - 36*p - 12. Calculate l(f(s)).\nAnswer: 330*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(15))\/sqrt(5) + (sqrt(27) - sqrt(162)\/sqrt(6))\/sqrt(9) + 0 + (sqrt(147) - (-5 + sqrt(147))))**2.\nAnswer: 10*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**2 + 10*k - 5. Is f(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -61? (a) 5\/4 (b) -1\/3 (c) -3.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*b**2*p - b**2 - 15*b*p - b + 7*p - 43 wrt b.\nAnswer: 6*b*p - 2*b - 15*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express 4*w - 3*w + w + 0*w - 3*w + 0*w + (2*w + w - w)*(0 + 0 - 1) - 2*w + 0*w + 3*w - 3*w + w + 5*w + 0*w - 2*w - 1 + 0*w in the form c + b*w and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 12*h + 9*h - 12*h in the form u + m*h and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 28763\/96 or 299?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/11 and ((-10)\/(-16))\/(2 + 369\/(-156)).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 109*z**5\/3 - 6653*z**4\/3 - 20357*z**3\/3 - 20063*z**2\/3 - 6212*z\/3 + 256\/3 = 0 for z.\nAnswer: -1, 4\/109, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xcsk when four letters picked without replacement from xxckkxsxcxkkxx.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 36.85057km?\nAnswer: 36850570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*f + 2*f + 1188. Let a be f + 4 - (-6 + 4). Let h = a + -213. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -18275 + 73099\/4. What is the nearest to 4\/99 in m, -0.3, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50503 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7279 - -4?\nAnswer: -7275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1405*b**2 - 1872*b**2 - 1544*b**2 + 2910*b**2.\nAnswer: -1911*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1067*n**3 - 627*n**2 - n wrt n.\nAnswer: 6402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t. Let n(r) = -2*r**2 + 8*r - 2. Let j(y) = 12*f(y) + n(y). Factor j(z).\nAnswer: -2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 155, 608, 1361, 2414, 3767?\n\"Answer: 150*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -13530513, -27060975, -40591435, -54121893, -67652349, -81182803?\n\"Answer: l**2 - 13530465*l - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/361 - -744\/3971. Find w such that m*w**3 + 0 - 2\/11*w**2 + 0*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7081086595 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -237003\/26120675 + 2\/21323. Calculate the common denominator of -39\/10 and v.\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3761 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m = 67 - 30. Suppose m*n - 825 = 22*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 4 - 2 + 1 - 6)*(0*s + s + s + 232 + 88*s - 232 + (-3 + 4 + 2)*(-3*s + 3*s + 2*s) + 1 + 9*s - 1) to p + k*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1248633 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-7) - (-94)\/(-14). Let g(r) = -8*r + 8. Let b be g(d). Let m be (-22)\/24 - (-16)\/b. Is m > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 + -4. Let u(k) = -4*k**2 - 46*k - 25. Let j be u(-11). Suppose 0 = 2*f - 3 - 3. Which is the smallest value? (a) f (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-33)\/11*(-4 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -68 + 79. Suppose -i*y + 1300 = 255. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.92 times 0.4?\nAnswer: 0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**2 - g. Let d(y) = y**3 + 19*y**2 + 68*y - 50. Let l be d(-14). Suppose 5*o - 37 = 88. Let p = o + l. What is m(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 44 - 43.77. Let z = 0.77 + r. Let n(i) = i**3 - i**2 - 2*i - 1. Let h be n(2). Which is the nearest to h? (a) 2\/5 (b) -2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 92.2 - 143.2. Let k = -5.054136 + 56.054426. Let v = k + q. What is v rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -352*c. Let b be s(-1). Let a be (b\/10)\/(5\/50). Suppose a = v + 10*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-18))\/(3*(-3)\/216).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/5 of a hour in minutes?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 32945648.4 microseconds in weeks?\nAnswer: 0.000054473625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 2*j = 3*c + 4, 4*j = -2*c + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of m**2*r - 14*m**2 - 3*m*r + m + 20*r wrt m?\nAnswer: 2*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) be the first derivative of -1\/36*v**4 - 1\/60*v**5 + 1 + 0*v**2 + v + 0*v**3. Let k(h) be the first derivative of n(h). Suppose k(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -1\/7, 3657, 0 in descending order.\nAnswer: 3657, 0.3, 0, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10412 and 2329.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**2 - 11 + 21 + 0 + 15*j. Let v be r(-14). Let k be 1\/3*(-2 - -1). Which is the nearest to 0.1? (a) v (b) k (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - -19. Suppose 0 = 5*y + 2*z - 35, -o = -0*y + y - 4*z. Solve y*n - 25 = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 37 + -38. Let d(b) = -13*b + 5. Let q(y) = 7*y - 2. Let w(s) = -2*d(s) - 5*q(s). Is 9 a factor of w(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ototpottfooopfotoo. What is prob of picking 3 t?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffffffaffafa. Give prob of picking 2 f and 1 a.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -234 - -184. Calculate the common denominator of (-109)\/(-12) + (-7 - x\/10) and -10\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -138*a - 389. What are the prime factors of n(-50)?\nAnswer: 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 62*p**3*w**2 + p**3 - 30*p**2*w**2 + 36*p*w**2 - 66*p*w - 2*p - 37822*w wrt w.\nAnswer: 124*p**3 - 60*p**2 + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8 + 1 - h + 8 + 15*h wrt h?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 929 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -372 + 413. Suppose 4*c + 2*q = 502, c - 92 - j = -2*q. Solve -5*m + c = 143 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of (3\/(-6))\/((-1878)\/(-1884) - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 641 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.029 (b) 84 (c) -23 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3295142.2 less than 0.4?\nAnswer: -3295141.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 89666624902 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 5*z**3 + 5675*z**2 + 1629960*z + 11133360 = 0. Calculate z.\nAnswer: -564, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 219 = 2*l + 2*l + o, l - 71 = 3*o. What is the lowest common multiple of 1 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1368\/(-76))\/(20\/2)*10\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, h: 1, r: 2}. Give prob of sequence ch.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 340080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -18 times 0.1\nAnswer: -1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 7, h: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49481021.\nAnswer: 49481021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 119, 121, 123?\n\"Answer: 2*y + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63 = -5*f + l, -l = 5*f - 4*l + 69. Let j be -9*(-2)\/f*(-2)\/2220. Which is greater: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -14 + (-6 - -2) + 3 + -1002 + 1021\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 - -8. Suppose 4*i = 5*k - 107, -100 = -w*k + k - 4*i. What is the remainder when 44 is divided by k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (986 - 986 - 91*m)*(4 + 0 - 3)*(0 + 0 - 2*m) to b*m + l + i*m**2 and give i.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -68, 2, -2 in decreasing order.\nAnswer: 2, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 29 = -3*b + 8, 4*j - 4*b + 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3)*-2*-2 + (sqrt(192) + sqrt(3) + 0)**2 + (-2*(sqrt(15) - sqrt(45)\/sqrt(3)))\/(sqrt(20)\/sqrt(16)))*6.\nAnswer: 24*sqrt(3) + 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*j**4 + 7*j**4 + 11*j**3 + 0*j**4 - 6*j**3 + 2330*j**2 - 7*j**3 to the form f*j**3 + z*j**4 + h + o*j + t*j**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the third derivative of u**4\/24 + 25*u**2. Let q(g) be the second derivative of -2*g**4\/3 + 3*g. Calculate p(q(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-3)\/2 - -1)\/((-20)\/(-2400)). Let o = -60 - p. Suppose o*m = -8*m + 80. What is the remainder when 37 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = -m - 230. Let g be (510\/(-408))\/((-1)\/(-192)). Let k = m - g. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, 11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4104 less than or equal to 2909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 329928576, 1319714306, 2969357190, 5278857228, 8248214420, 11877428766, 16166500266?\n\"Answer: 329928577*v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from {y: 4, q: 6, h: 1, l: 2}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 28138 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 18707.58 centuries to years.\nAnswer: 1870758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -68310 (base 15) to base 4\nAnswer: -1100322300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 86976 and 506808?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 877968062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/11)*y*y)**(39\/5)*((y*y\/(y**(2\/19)*y)*y*y)\/y)\/y**(-5\/4) assuming y is positive.\nAnswer: y**(14485\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, -4, 107615, -32 in increasing order.\nAnswer: -32, -4, 0, 1, 107615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 326910756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 529471?\nAnswer: 529471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -7405a (base 12) to base 9\nAnswer: -251617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -29, 128, 5 in ascending order.\nAnswer: -29, -2, 5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54417817 is divided by 87.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 104182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4616 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -28\/11 - 38\/11*t - 8\/11*t**2 + 2\/11*t**3.\nAnswer: 2*(t - 7)*(t + 1)*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1320003 + -22?\nAnswer: -1320031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 0.0638189ug?\nAnswer: 0.0000000000638189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (p - p - 2*p)*(2*p - 154*p**2 + 2 + 90*p**2 + 79*p**2) in the form g + m*p**3 + r*p + f*p**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 + (2 - 26) + 0. Let a = -16 - c. Calculate the common denominator of -125\/6 and 21\/a*1\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 7\/(7\/(-2)) + 10. Suppose 0 = 2*c + 7 - 31. What is the greatest common divisor of n and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n. Let i(t) = 5462*t. Calculate p(i(u)).\nAnswer: 5462*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5.53 + -0.53. Let j be (-5)\/3 + -1 + 2. What is the biggest value in j, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 - -7)*(-2 - 85\/(-35)). Solve 2*o - 9 = -4*t - f, 4*t = 3*o + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/24189840 and 79\/78?\nAnswer: 314467920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 531 and 90.\nAnswer: 5310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3 - 2*q + 8*q + q + 0*q wrt q?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from pkkp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - r + 19 = 0, 0 = 4*d + 12*r - 8*r + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 23895 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 37117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40694.\nAnswer: 2, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1693.1758 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (5 + -2 - 1) + 1 + -12. Let g be y\/(-6)*(4 + 3480\/9). Suppose -192 = 2*q - 3*q - f, -3*q + g = -2*f. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-14) - 33\/(-7). Suppose 0*b - 20 = -5*b. Let f(s) = 0 + 3 - 1 - b*s. Let i(n) = -9*n + 5. Give q*f(w) - 2*i(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j - 24. Determine w(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -3*q**3 - 152*q**2 + 9*q - 235. What is the ten thousands digit of i(-54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2272090 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gb when two letters picked without replacement from gpgppbp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -18*c**3 + 310*c**2 + 304*c - 1. What is w(-1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8 + -5. Let v be (-6)\/15 + c\/5. Let n(j) = -6*j**3 + 2*j**2 - j - 3. Let h be n(v). What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 3*g**2 + 10*g + 3. Suppose -8*x - 14 = -10*x. Let o = -12 + x. Let j be k(o). Sort j, 5, -4, 1 in decreasing order.\nAnswer: 5, j, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a microsecond in nanoseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 31*n**2 - 4*n - 177. Let w be h(-22). Calculate the greatest common factor of 95 and w.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 100, 195, 290, 385, 480, 575?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -151 - -137. Which is the nearest to -1? (a) 0.1 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/11, 0.05, 1\/4, -0.1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -167*b**2 - 162*b**2 + 333*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 6 (b) -23 (c) 25584 (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000093611 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3 + 74997*x**2 - 149991*x + 74995.\nAnswer: -(x - 74995)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 21527329729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 70, 77, 84, 91?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1\/504 + 515\/5544. What is the closest to 1 in -5, 0.01, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 - x - 3. Calculate the remainder when j(-3) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 703\/310, 0.2, -7 in descending order.\nAnswer: 703\/310, 0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -25 - -24.5. Let w(s) = s**3 - 5*s**2 - s + 7. Let r be w(5). What is the nearest to 0 in b, r, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1059433963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of -m**5\/60 + m**2. Let l(g) = -1. Suppose 0*o = -3*o - 3. Let p(a) = 3*a + 6. Let s(r) = o*p(r) - 6*l(r). Calculate k(s(v)).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 219.34 - 207. Let a = 12 - u. What is a rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 73 - 96 = 3*a, -5*a + 27 = j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1371a3 (base 14) to base 7\nAnswer: -5500663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) -20 (b) 0.3 (c) 21 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 31266629*s**6 + 5*s**3 - 436349922*s**2?\nAnswer: 3751995480*s**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*t**5 - 2*t**4 + 4719847*t**3 - 2966*t**2 - 2758.\nAnswer: -120*t**2 - 48*t + 28319082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -4*j**2 + 116*j + 5. Let q be b(29). Suppose -2*w = -5*w, 80 = -4*c + 3*w. Let v = -16 - c. Solve v*f + 12 = -x, 0 = q*x + 2*f - 5*f - 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13769 is divided by 212?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2)\/((-4)\/3)*2. Let a(b) = -b**y - b**3 + 8*b**2 - 10*b + 3*b**3 + 13 + 2*b**2. Calculate the lowest common multiple of 1 and a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 37891 and 14000.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -j - j + 8. What is the second derivative of -4*i + 2*i - j*i - 16*i**5 + 12*i**5 wrt i?\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(13))**2 + -3 - (sqrt(208) + (sqrt(208) - (sqrt(208) + 3)) + sqrt(13)).\nAnswer: -9*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 122*d*i**2*w - 439*d*i*w - 798643*i**2*w - 4*w wrt d?\nAnswer: 122*i**2*w - 439*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let h = 81.27 + -81.17. Let k be (-686)\/(-22) + (-2)\/11. Which is the nearest to 0? (a) 0.3 (b) h (c) 1\/9 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 3*f**2 - 2*f + 1. Let o(a) = 19*a**2 + 12*a - 21. Let w(y) = -8*y**2 - 6*y + 10. Let l(m) = 6*o(m) + 13*w(m). What is 7*d(u) - 2*l(u)?\nAnswer: u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the third derivative of f**8\/2352 - 2*f**7\/735 + f**6\/168 - f**5\/210 + 28*f**2. What is t in u(t) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n - 4. Let q be a(0). Let v = q + 18. Let z = v + -3. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(245) + -2 + -3 - (((sqrt(245) + sqrt(245) + -2 + -5)**2 - sqrt(245)) + sqrt(245)) - ((-5*(sqrt(720) + -1))**2 + sqrt(80) + 0 + sqrt(80) + 3).\nAnswer: -19062 + 795*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that 5*o**5 + 2800*o**4 + 361160*o**3 + 708370*o**2 - 361165*o - 711170 = 0.\nAnswer: -361, -197, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 5*x - 4*x - 2195 = 0, -3*u - 5*x = -1625. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1558797 and 503.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -81249*w**4 + 77480*w**2.\nAnswer: -1949976*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-105))\/(17\/85)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 + 10 = 2*n. Suppose 4*m - n*t - 23 = 19, 0 = 5*m - 2*t - 44. Solve 3*f = z - 0*z - m, f = z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = 2*s - 184, 4*s = -y - 0*s + 92. What are the prime factors of 4710\/4 + (-138)\/y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + 20 + (-11)\/176?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 + (3\/3)\/1. Let o = -16\/3 - -106\/21. Which is the nearest to o? (a) f (b) 1\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes before 5:25 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-18)\/(-36) + (-2)\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11 or 31\/3?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -203\/30264?\nAnswer: -203\/30264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vvnn when four letters picked without replacement from {v: 2, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 975 is divided by 257.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 113*b**5 + b - 299 wrt b.\nAnswer: 2260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 8 + -8 - 7 - (-264)\/12. Solve 0 = -j*x + 12 + 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 176 or -7122\/23?\nAnswer: -7122\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 114872964?\nAnswer: 2, 3, 9572747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 30 + 2015063?\nAnswer: 2015093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lldzzjzzzzzdyn. Give prob of sequence zn.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -142*g - 29*g + 10213 + 2612 for g.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(102)\/sqrt(6) + -3 - (sqrt(17) + sqrt(17) + -2 + -2).\nAnswer: -sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 442*8991.32\nAnswer: 3974163.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -134114103 (base 5) in base 10?\nAnswer: -691778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 174453 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*z - 11*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 52296 and 6.\nAnswer: 52296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n**2\/13 + 2304728*n\/13 = 0 for n.\nAnswer: -1152364, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 107*j - 928. Let z be y(27). Calculate the greatest common factor of 159 and z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 113849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -2489, 8581, -4 in increasing order.\nAnswer: -2489, -4, 8581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6342496\/(-3264)*(-1 + -5) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 1 = 2*g - 3, -2*g + 5*t - 6 = 0. What is a in -29*a**5 - 12*a**4 + a**2 + 15*a**3 - g*a**2 + 32*a**5 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 37*r**3 - 4*r. Let d(m) = 1518*m**3 - 165*m. Calculate -4*d(k) + 165*l(k).\nAnswer: 33*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11539*-5.\nAnswer: 57695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -11000101101110 (base 2) to base 3\nAnswer: -122100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5872*m - 34 + 5883*m - 11735*m + 34.\nAnswer: 20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 AM and 7:35 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 + (-30 - (-21 - -14))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*u**2 + 4*u - 22*u**3 + 2 + 3*u**2 + 19*u**3 to t*u**3 + x*u**2 + j*u + p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (252\/49)\/(105\/(-245)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -14 + 15 - (-9 - (-16 + 32) - -12)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4017277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.109 - 70.891. Let o = 70.61 + r. Let t = 0.43 + o. What is the closest to -2\/3 in t, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 3*t - 3*t - 8*t + 3*t. Let s(r) = -4*r + 16 - 16. Give s(c(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6600 divided by 6.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1301442 + -113150?\nAnswer: 1144252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33892, -33612, -33334, -33058, -32784?\nAnswer: -32512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 27563763 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2942082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -26599 divided by -3\nAnswer: 26599\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 752480?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/5 - (4644\/(-45) - -7). What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of -4*p**4 - 1072*p**3\/3 - 2530*p**2 - 6200*p + 6555. Factor c(g).\nAnswer: -4*(g + 62)*(2*g + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 49 (b) -3 (c) -2.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 77828 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15010790.\nAnswer: 2, 5, 79, 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/65724 and -11\/87632.\nAnswer: 262896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -248.9 - -253.9. Which is the fourth biggest value? (a) -0.02 (b) -0.1 (c) -9 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -2*l**2 - l - 1. Let n be y(-1). Let f be (45\/27)\/(n\/(-6)). Let q = -9 + 25. Solve f*o + q + 0 = i, 2*i - 4 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -161*n**2 - 12*n + 4. Let h(m) = -484*m**2 - 34*m + 11. Calculate 6*h(o) - 17*i(o).\nAnswer: -167*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1\/7 + -11\/28. Which is the second biggest value? (a) -2 (b) 0.23 (c) f (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 6 = 6*y. Suppose -4*j = -0*j. Put -10, j, y in increasing order.\nAnswer: -10, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 32492, 65073, 97654, 130235?\n\"Answer: 32581*y - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-154 - -160) + 1 + 1 + -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -19 - -13. Let h be (z\/(-21))\/(4\/28). What is the closest to 0.1 in h, 2\/9, 1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -12*a. Let x(i) = 14*i. Let t(k) = 6*p(k) + 5*x(k). Let d(s) be the first derivative of 2*s**3 + 13. Determine t(d(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1435 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 + -11 - (-18 + -37 + 14)) + -10.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x*x**6)\/x)\/x)**(-2\/27)\/(x*x**(-1\/3))**(-2\/49))**(1\/19) assuming x is positive.\nAnswer: x**(-454\/25137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/((g**4\/g)\/g)*g**(-15))\/(g**31)**44 assuming g is positive.\nAnswer: g**(-1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be 9 + -1 - 6\/6. Suppose 0 = -5*f - h - 10, -2*h - q = 5*f + 8. Put f, 2, 0 in ascending order.\nAnswer: f, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 121378 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 4 = 4. Suppose -n*i - 4 = -c - 2, 2 = i + c. Suppose o + 2*z + 5 = -2, i = -5*o + z + 20. Solve -5 - 7 = -o*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-14)\/((n\/(n**(1\/8)\/n))\/n))\/(n**(-10\/3))**(-15\/4))**33 assuming n is positive.\nAnswer: n**(-7227\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 52 = -44. Calculate the remainder when i is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -13507.78 and -13.\nAnswer: 175601.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(5\/3)\/(((k*k\/(k*k\/k**(-3\/7)))\/k)\/k) assuming k is positive.\nAnswer: k**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-2)*3\/(-14)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -29440000 rounded to the nearest 1000000?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 210*h**2 + 790*h**2 - 1.\nAnswer: 1000*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*p + 11 = 35 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -184 = -4*k - 164. Solve 0 = g - k*g + 12, 5*p - g = -28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 4, p: 3, c: 1, h: 5}. What is prob of picking 1 c and 3 h?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2. Let d(s) = 15*s**2. Let c be (-77)\/49 + (-15)\/35. Determine c*d(m) + 6*f(m).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 190.77288 months to centuries.\nAnswer: 0.1589774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 17 = -2. Suppose i*d - d = 4. Let w be -2 + 3 + -2 - -3. Calculate the greatest common divisor of w and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the first derivative of -u**4 + 1\/3*u**3 - 124 + 2*u**2 - 1\/5*u**5 + 0*u. Factor j(v).\nAnswer: -v*(v - 1)*(v + 1)*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3\/17 - -59\/51. Let p = 0.3 + 0.1. Let v = p + -0.4. Which is the closest to v? (a) 2\/5 (b) g (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1355416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -7 + 0. Let n = -7.4 - g. Which is the closest to -2\/7? (a) n (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 219.74 - 212.74. Let h be 6\/4*(-24)\/(-9). Which is the third biggest value? (a) h (b) 0 (c) 2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-7 + 5 - 6)*(-2*b - 2*b + 6*b) + 1 + b - 1 + 22*b - 8*b + 6*b)*(-3*b**2 + 4*b**2 - 2 + 1).\nAnswer: 5*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 89 = 3*v + z, 0 = 4*v - z - 4*z - 125. Let n = v - 34. Let w be n*6\/110 - 6\/33. What is the third biggest value in 0.4, w, 1\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 617 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -48598, -48596, -48592, -48586?\nAnswer: -48578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/19 in 2\/3, -2\/13, 0, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 + 21 - 8) + (-2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - u - 7 = -y, -y - 4*u - 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-29)\/((-435)\/(-160))*(-9)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -1141, -2277, -3413, -4549?\n\"Answer: -1136*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -9103 greater than -9137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) be the third derivative of -f**7\/504 - f**6\/180 - f**4\/8 - 49*f**2. Let d(m) be the second derivative of w(m). What is j in d(j) = 0?\nAnswer: -4\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 36\/(-24)*52\/6. Let z = m - -16. Suppose 0 = z*i - 2*i - 3*q - 25, 3*q = 0. What is the remainder when 47 is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3100 = 32*j - 37*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 60905 + -15533. What are the prime factors of j?\nAnswer: 2, 3, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 27*s**4 + 213930*s**3 + 374239911*s**2 - 196180798380*s + 22705620616812.\nAnswer: 3*(s + 4181)**2*(3*s - 658)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-60*35\/1260)\/((10\/15)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.1835 and -2.3?\nAnswer: 2.4835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1430870*i**3*j**5 - 25*i**3*j**3 - 3*i**3*j**2 + 12*i**2*j**2 + 5672*i*j**2 + 3 wrt j?\nAnswer: -85852200*i**3*j**2 - 150*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20 and 40630?\nAnswer: 81260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 20\/(-15) - (-455)\/(-3). Let z = -125 - w. Let p(x) = -29*x - 6. Let n be p(-6). Calculate the greatest common divisor of n and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = 4*f + b, f = b - 4*b + 2. Suppose 0 = -k + x + 2, 11 = -4*x + 7. Sort k, f, -1\/2, 2\/21 in descending order.\nAnswer: k, 2\/21, -1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 123 - 121. Find the third derivative of 52*g**6 - 55*g**6 - 7*g + 28*g**x - 10*g**4 + 7*g wrt g.\nAnswer: -360*g**3 - 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ua when two letters picked without replacement from {a: 7, u: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1175049 or -1175054?\nAnswer: -1175049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/9, 1\/49, -0.4, -5, 1, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3323723063 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -942 + 941.8873. What is j rounded to 2 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 6, -11, -42, -87, -146?\n\"Answer: -7*f**2 + 4*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (34\/(-72))\/(3\/9). Let i = w + 197\/156. Which is smaller: -6\/5 or i?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*l + l + 18*l - 3*l to s*l + n and give s.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 1.4, -0.3, 80?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 598 (base 11) to base 2.\nAnswer: 1011001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 - 200?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2659640 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y + y + 3*y)*(0 + 0 + y**2) - 21*y**2 + 4*y**3 + 21*y**2.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 11671, 93467, 315489, 747853, 1460675, 2524071, 4008157, 5983049?\n\"Answer: 11686*s**3 - 3*s**2 + 3*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 6 by -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -3*h + 40, 0 = 88*h - 83*h + 4*s - 40. Let w = -37 + 151\/4. Find m such that 0 - w*m**2 + h*m + 3\/4*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-21)\/d*d*d**(-3\/5)\/d*d*d)\/(d\/d**(-2\/5))**(-1\/12) assuming d is positive.\nAnswer: d**(-1229\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*a*v**3 + 505*a - 3360201*v**3 - 532 wrt v.\nAnswer: 12*a*v**2 - 10080603*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 14971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + a = -2*q - 6, -2*q - 6 = -2*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, 7, 0.36, 1\/4 in decreasing order.\nAnswer: 7, 3, 1, 0.36, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*u + 68*u + 20 = -4*a, u = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/3)\/(10\/(-35)*-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + y - 1 + (-2 + 1 + 0)*(0*y - 2*y + 6*y) + (6*y - 4*y - 4*y)*(-2 + 0 - 1) - y + 3 - 3.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 - -2. Let q = -457 - -460.2. What is the biggest value in 2, k, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = d - 9. Let s(k) = 2*k - 8. Determine -2*o(u) + 3*s(u).\nAnswer: 4*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*x - 11 = -44*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 505 = 4*y. Let n = y + -69. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b + 5*b + 172*b)*(-7*b - 5*b + 1 + 27*b).\nAnswer: 2655*b**2 + 177*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 269588242 and 1771.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 3*g - 16. Let w be y(6). Let z be (-1)\/(-1 - 1\/(-2)). Suppose -z*a + 3*i + 29 = w*a, i + 15 = 2*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*p**3 + 54*p**3 + 11*p**3 + 50*p**3.\nAnswer: 137*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5 take away -0.0617661754154?\nAnswer: 0.5617661754154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -482.13089 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 26*r - 24*r - 17*r in the form i*r + o and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7778*r - 3*r**2 + 7778*r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 12 + 0.317?\nAnswer: 12.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 6\/(-69) - 3433*(-48)\/138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:41 AM and 3:34 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - r - 16 = 0. Put 1, 3\/8, r in decreasing order.\nAnswer: r, 1, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -2*f**2 + 17*f - 28. Let w be t(3). Let c(l) = -l**3 - 27*l**2 - 26*l + 5. Let y be c(-26). What is the greatest common factor of w and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5 + 1)\/(23\/(-69)). Let a(b) = -b**3 + 12*b**2 + 3*b + 34. Does 12 divide a(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -3*r**2 - 192*r + 93. Let b be g(-64). Calculate the greatest common divisor of 30 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -765724 * 98\nAnswer: -75040952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.02 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, b: 1, z: 2, f: 1}. Give prob of sequence zyb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -4644 divided by 43\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 5 = -17. Let a be (-8 - n)*2\/(-1). Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -329576315 by 5.\nAnswer: -65915263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g = -2*g - 8. Let m(u) = -u**3 - 8*u**2 + 12*u + 12. Let k be m(-9). Is (-18)\/((k\/g)\/5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 168 = -12*v. Let j be 8\/(-6)*v\/(-16). Is j greater than or equal to 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00006989770442 to seven dps.\nAnswer: 0.0000699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the third derivative of c**5\/60 + c**4\/8 - c**3\/3 + 2*c**2. Determine d(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 37806, 75611, 113416, 151221, 189026, 226831?\nAnswer: 264636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 29\/12)\/((-2)\/(-4))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -900*z + 862*z + 5*g + 122 = 0, -z - g = -10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -328*n + 16. Let z be q(-9). Suppose -416 = -12*u + z. Calculate the lowest common multiple of u and 7.\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 6 = -i, -2*i + 16 = -5*m + 10. Let v(u) = 2 - u**2 - 5 + 2 + 2. Let g(b) = -3*b**2 - 2*b + 1. Give m*v(n) - g(n).\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -9.3 + 9. Round h to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -5178 by 2.\nAnswer: -2589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 109572, 219149, 328728, 438309?\n\"Answer: f**2 + 109574*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**3 - h. Let m(p) = -5*p**3 - p**2 - 11*p + 19. Let t(a) = 6*k(a) + m(a). Is t(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k + 2. What is the lowest common multiple of x(-3) and (-3)\/(-6) + (-63)\/(-6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = 2*b. Suppose b*v - 3*f = v - 19, 3*v + 2*f = 22. Factor -2*a - 6 - a**2 + v - a.\nAnswer: -(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -21807 + 21807 - 4*m. Let q(p) be the second derivative of -p**3\/6 - 61*p**2\/2 - p. Give q(c(u)).\nAnswer: 4*u - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/8839 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*j**3 - 1 + 1)*(4 - 1 - 2) + 13*j**3 - 41*j**2 + 41*j**2.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + -4 + 10 - 10) + 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 519 divided by 19372.\nAnswer: 519\/19372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**3 - 3*p**2 + p. Let l be u(-4). Suppose -5*f + 5 = 2*a, -5*f = -f + l. Let o = a - 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1632.894 - 1635. Let v = -0.106 - q. Which is the nearest to 4? (a) -2\/11 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 45*p + 2. Let b be f(1). Let m = 85 + b. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3 - -5. Let l be (4\/(-6))\/(-2) + (-357)\/(-63). Solve -m = -2*p + l*p + v, p = m - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 198676 (base 11) to base 6.\nAnswer: 10304405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 39 = 6. Suppose -2*i + 5*g = 4*g, 6 = 2*i + 2*g. Let l be (-4)\/(-13 + i)*a. Solve -3*h - 4*u - 5 = 0, 4*h - 12 = 2*h + l*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 6*o**2. Let f be h(-2). Let k be (2933\/f)\/(6\/(-243)). Let g = -4951 - k. What is the common denominator of g and -17\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10 - 9)*(0 - -2)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*s*t - 5416*s + 620*t + 69 with respect to s.\nAnswer: 2*t - 5416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -4*z + 12*z - 12*z**2 - 1 + 9*z**2 in the form k*z**2 + l*z + p and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*t - 12 + 12.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -877 + 1402. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**5\/3 + 160*l**4 + 385472*l**3\/3 - 1164884*l**2\/3 - 1161418*l - 1934380\/3 = 0. What is l?\nAnswer: -337, -1, 5, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 157\/1218 and -121\/3208734.\nAnswer: 22461138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/6)\/(-1)*-8. Let s(h) = h**3 - 4*h**2 - 2. What is s(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15 - 13. Suppose 5 = k*q + 3*q. Let f be q\/(-3) + 2\/(-3). Is f not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 88981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**3\/4 - 10280355*h**2\/4 - 2201755837974*h + 50641743859476.\nAnswer: -3*(h - 23)*(h + 1713404)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -8\/5 at least as big as 1949?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16 - 15 - -14 - (-1183)\/(-78).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**7\/d*d**(3\/4)*(d**(1\/7)\/d)\/d*d*(d\/((d**(-4)*d)\/d))\/d)**(-9) assuming d is positive.\nAnswer: d**(-2493\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 3 = 2*y, 0*k + 3*k + 15 = -3*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 714629190 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.018 + 28.982. Let c = q + -33. Let v(z) = z**2 - 5*z - 2. Let n be v(5). What is the closest to n in c, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -197*c**3 - 92*c**2 + 28*c**2 - 23*c**2 wrt c?\nAnswer: -1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 230106918, 230106916, 230106914, 230106912, 230106910?\n\"Answer: -2*m + 230106920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 0*i + 0 - 1\/7*i**5 - 9\/7*i**4 - 27\/7*i**2 - 27\/7*i**3 = 0. What is i?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the second derivative of -7*l**6\/120 + 2*l**3 + 59*l**2\/2 + 14*l. Let h(c) be the first derivative of z(c). What is the derivative of h(q) wrt q?\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 3*q = -29, -18*u = -17*u - 3*q - 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 8*s - 22 - 43, 3*s - 30 = -a. Calculate the highest common factor of a and 16893.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 24747 or -16\/135?\nAnswer: 24747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/((-1)\/(0 - -1)). Let f(l) be the second derivative of 5*l**4\/12 + l**3\/3 - 3*l**2\/2 - 27*l. Is f(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2354790194 to the nearest integer?\nAnswer: 48526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87760*d - 87774*d + 175534*d + 38*d**2.\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 - 3*t**2 - 2*t - 15. Let w be x(0). What is the hundreds digit of (12\/9 - 1) + (-3130)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (10 - (16 + 25)) + 16\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 93236 a multiple of 286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -28*u**3 - 5*u**2. Let y(c) = 363*c**3 + 66*c**2. Calculate 66*q(j) + 5*y(j).\nAnswer: -33*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1298 + 2595 - 1297 + 186*q**2.\nAnswer: 186*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1243 - 1248. What is the nearest to 0.1 in 4, -12, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - -63?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3376\/(-55704)*(-22)\/(-1)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*i + 185 + 541 = 79*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.01707 and -24.7.\nAnswer: -0.421629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (m**2 + m**2 - 3*m**2)*(-268745*m**2 + 268745*m**2 + 325*m**3) - m**5 + 0*m**5 - m**5.\nAnswer: -327*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -3*a**3 + 16*a**2 - 4*a - 3. Let o be l(5). Calculate the highest common factor of o and 59.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/10345 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -163\/66 and (-273)\/78 + 3*2 + 10088\/(-3948)?\nAnswer: 21714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1506 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -3*t**3 + t**2 + 1. Let n(x) = -224*x**4 + 18*x**3 - 6*x**2 + 382*x - 11. Let y(v) = -6*f(v) - n(v). What is the second derivative of y(g) wrt g?\nAnswer: 2688*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 6.7.\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2214217.\nAnswer: 47, 47111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*w - 132 = -2*y, 7*w + 2*y = -3*w + 5*w - 63 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 13*g**2*h - 2*g**2 - 2*g*h*t - 17*g*h - 3*h*t - 3*h + 5*t - 2 wrt g?\nAnswer: 26*g*h - 4*g - 2*h*t - 17*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(1700) + -1)**2*-4)*-4 + -1.\nAnswer: -320*sqrt(17) + 27207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -166102*0.4.\nAnswer: -66440.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 300830 is divided by 298.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 59677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28858*u + 63139*u + 29467*u.\nAnswer: 121464*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 - -1. Let s(j) = -j + 2. Let u be -1 + (-2 - (2 + -5)). Let o be s(u). Sort o, 4, f.\nAnswer: f, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 297*v - 20555. Give o(67).\nAnswer: -656","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 158\/123 - 134\/(-2747)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 + 0 + 1)*(-2*n + 3*n + n) - n + 2*n - 2*n)*(-5*n**2 + n**2 + 6*n**2).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 159940 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, -0.2, 5\/3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -30, 0.6254, -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 68419005 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1507 (b) 0.3 (c) -30 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -11 + 15 - 8 - 2*d. Let u(j) be the third derivative of -j**4\/6 - 3*j**3\/2 + 365*j**2. Give 9*c(a) - 4*u(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -39\/205 and -11\/8200?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 3131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*k + 405 = -5*v, -5*k + 5554 = v + 5475 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 226938 = 138*q - 1462460 - 734434. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165096922 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2ab (base 13) in base 11?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**2. Let x be 1*0\/((-4)\/(-2)). Let q(y) = x*y + 0*y + 2*y. Give q(b(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (2*f**3 + 0*f**3 - f**3)*(-4*f - f + 3*f) + 26*f**3 + 0*f**4 + f**4 - 30*f**3 - 8*f**2 as a*f**4 + b + w*f**2 + d*f + g*f**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 4 + 2)*(-1 + k - 5 + 3) as f*k + g and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.0179 and 0.2501847?\nAnswer: 0.2680847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3172 + 1643 + 1529 + 40*h**2 - 22*h**2 - 4*h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.8 - 2.8. Let a = l + -2. What is the third smallest value in 0.1, a, -2\/17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**2 + w + 2. Let x be h(0). Suppose -4*t + 42 = x*d, -132 = -4*d - t + 5*t. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/(-5) - 18\/20. Sort m, 2\/3, 0.1.\nAnswer: m, 0.1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 50 divide 451700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the first derivative of -p**7\/280 - p**6\/24 - p**5\/5 - p**4\/2 - 106*p**3\/3 - 167. Let c(b) be the third derivative of n(b). What is d in c(d) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - f)*(4*f - 2*f + f) + (-25*f + f + 8*f)*(f - 2*f - f).\nAnswer: 29*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qw when two letters picked without replacement from wwwwqqqwwwwwwww?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 195*b**3 - 8*b**2 + 16*b - 17. Let o be y(2). Is 1544 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v - 5*y + 2 = 0, -3*v = -56*y + 53*y + 12 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 + 13*f**2. Let i be q(13). Suppose i*w - 4 = -w. Suppose -1 = -4*s + 3*s - t, w*s + 4 = -2*t. Which is greater: s or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o + 1 - 3. Suppose 0*p + 10 = o*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/63 and (2 - 0) + (-755)\/280.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**2 - 5*r - 3. Give o(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -6601 = 4026*d - 4313*d for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 - 4*w**2 + 4*w - 3. Let u be h(3). Let q(t) = t**2 - t - 59. Let x(z) = -2*z**2 + 2*z + 117. Let j(i) = 7*q(i) + 4*x(i). Is 11 a factor of j(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 16*c**3 + 8*c**2 + 8*c. Let r(f) be the third derivative of -f**6\/24 - f**5\/20 - f**4\/8 + 2*f**2 - 22*f. Calculate -8*r(u) - 3*v(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 63864 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (956\/239)\/(136\/1054)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 2*s**2 - s - 2. Let a be c(2). Let k(i) = 4 - 3*i + 9*i + 23*i - 5. Is k(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -2*b**3 - 7*b**2 + 18*b + 166. Calculate i(-6).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) 2\/21 (b) -2 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 275432.\nAnswer: 2, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 13 (c) 1 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1412129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are -50 and -342\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 66.10383 kilograms in milligrams?\nAnswer: 66103830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 42 - 34. Let w(m) = 8*m + 2. Let l be w(3). Let f(i) = -26 - h*i**2 + l. Let b(j) = 2*j**2. Give b(f(d)).\nAnswer: 128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the second derivative of -c**3\/6 + 14*c + 11. Let k(d) = -d**3 - 11*d**2 - 3*d. Calculate k(g) - 3*w(g).\nAnswer: -g**3 - 11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 34524 + -9220. Suppose 3*y - 3*b = 5*y - i, 0 = 5*y + 3*b - 63269. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 559*h - 1116*h - 8*h**3 + 15 + 556*h - 3*h**2 wrt h.\nAnswer: -48*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 171 = 3*b, -5*b + m = -3*b - 113. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 426, 275, 16, -351?\n\"Answer: -54*y**2 + 11*y + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*r = 14*r. Suppose r = 2*t + 4*d - 24, -2*t = -0*d + 5*d - 29. Let 2 + 2\/9*k**t - 4\/3*k = 0. Calculate k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ai when two letters picked without replacement from aiaiaaiaaiaai?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/25*-6*5*((-989)\/(-43))\/(-1334)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1145595 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 - 141?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lokbilobodklb. Give prob of sequence db.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**2 + t + 1. Let j(u) = -326 + 984 - 5*u - 4*u - 329 - 331. Let v = -3 + 5. Let g(q) = v*p(q) + j(q). Find the second derivative of g(k) wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + 47. Calculate the highest common divisor of w and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - 15 - 103\/((-1751)\/306).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3 - 1. Suppose -z*d + 76 = -0*d. Calculate the remainder when (-2)\/(-2)*d\/2 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6851700847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b - 9. Let x be a(13). Suppose c = -4*v + 10, x*c = -c + 5*v. Solve -i - i - 5 = -3*k, -c*i + 3 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1393 - 1507. Which is smaller: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84506638?\nAnswer: 2, 29, 1457011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -85, 2, 66, -209 in descending order.\nAnswer: 66, 2, -85, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 635 and 37846?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 17*z - 7. Let l(r) = r - 1. Let a(n) = 18*l(n) - 2*v(n). Let w(d) = 65*d + 16. Let x(b) = 26*a(b) + 6*w(b). List the prime factors of x(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -155*q = -151*q - 8. Suppose q*h = 5*v + 412, 2*h - 637 = -h - 2*v. What are the prime factors of h?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 1253, 12, -4.\nAnswer: -5, -4, 2, 12, 1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -24.666 + -0.234. Let i = s + 24.891936. Let k = 0.008 + i. Round k to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 29*o**2 + 0*o**2 + 2*o**3 + 13*o**3 wrt o?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.3, 529, -5, 5?\nAnswer: 529","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - -14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3)\/(1*(-2)\/6). Let c(w) = 2*w - 13. Let f be c(m). Factor f*t**3 + 2*t - 5*t + 3*t - 5*t.\nAnswer: 5*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -315, 142, 3, 0, -2 in decreasing order.\nAnswer: 142, 4, 3, 0, -2, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x - 2*w - 48 = w, 0 = -3*w. Let v = -11\/7211 + 1262717\/519192. Let z = -14\/9 + v. Calculate the common denominator of z and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 47*k - 48*k + 523, -1557 = -3*g + k. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = -6*a - 16. Let j(g) = g**2 + 2*g - 3. Calculate the remainder when j(-6) is divided by (a\/1)\/((-4)\/6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 21*u**3\/2 + 177243*u**2 + 748003440*u + 213700800.\nAnswer: 3*(u + 8440)**2*(7*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 1064 (base 12) to base 14.\nAnswer: 92c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 44 and 10265776?\nAnswer: 112923536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1365268 divided by -341317.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -73 - -2985a5?\nAnswer: 298532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(-7\/3))**(-2\/21)\/(j*j**(2\/25)*j*j\/j**4) assuming j is positive.\nAnswer: j**(949\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 466 - 241. What is the second derivative of -456*c**2 + 18*c + 224*c**2 + r*c**2 + 5 wrt c?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -10 + 17 + 2*z - 9 - z. What is g(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 53*h - 2. Suppose -m + 1 = p - 4, 0 = m - 5*p + 7. Is o(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/12*0 - (4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -23*i**2 + 5407*i - 16445. Determine n(232).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -175*q - 176*q - 2*q**2 - 130 - 166*q + 517*q to c*q**2 + g*q + p and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes before 11:33 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*o - 22 + 22.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1\/(-3)*5\/(-563330)*-3. Let n = t - -99371519\/12055262. Let w = n - 6509\/2568. What is the common denominator of w and 65\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6\/119, -0.3, 2, 2\/5 in decreasing order.\nAnswer: 2, 2\/5, -6\/119, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -102666, -205357, -308046, -410733, -513418?\n\"Answer: o**2 - 102694*o + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11.3 - -12.68. Let t = 1.3 - d. Which is the third smallest value? (a) t (b) 3\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1014 is divided by 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1157169 is divided by 105196.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 75 and 3975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (h - 5*h - h)*(2*h**2 + 4*h**2 - 3*h**2).\nAnswer: -15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**5 + 8*i**4 - 72503*i**2 - 6288624*i.\nAnswer: -20*i**3 + 96*i**2 - 145006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (50*26\/(-520))\/((-2)\/12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2697, 2719, 2589, 2217, 1513?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 6 = -350. Let s be 28\/(-70) - r\/(-10). Let h(i) = i + 21. Calculate the remainder when 70 is divided by h(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -59047*z - 129675 = 57858*z - 115670*z for z.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17288 + -17250. Calculate the remainder when 545 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 - -11) + 45 + -52 + -19.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8449 - 8448.9. What is the closest to d in -0.1, 0.1, 2, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 3*t**2 - 9089*t - 182996. Calculate l(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 348247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -267*x**3 - 155 wrt x.\nAnswer: -801*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: ((156\/(-21))\/(2\/(-7)))\/((-193)\/579)\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-1*(-12)\/(-6))*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, -0.2, 0.2, 0.5, 8432, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -0.0124 times -24.1725\nAnswer: 0.299739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 - -7 - -11) + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t**5 + 36556*t**4 - 3210652*t**3 - 36556*t**2 + 3210648*t = 0.\nAnswer: -9226, -1, 0, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 44 - 36 + 27*m**2 + 10*m + 12*m**2 - 14*m wrt m?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 13*w - 1. Let x(o) = -o**2. What is x(u(j))?\nAnswer: -169*j**2 + 26*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1, 6\/7, -2\/5, -0.7, 0.4, -43, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 109299 divided by 346\nAnswer: 109299\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 f when three letters picked without replacement from hxxfh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of d*g*i**3 - 2*d*g*i - 4*d*i**3 - 2*d*i - 66025*g - 1789*i**3 wrt g.\nAnswer: d*i**3 - 2*d*i - 66025","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 95662, 191312, 286950, 382570, 478166, 573732?\n\"Answer: -h**3 + 95657*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the first derivative of 9*h**2\/2 - 21*h + 145. Let z(r) be the second derivative of r**3\/3 - 5*r**2\/2 + 11*r. Determine 5*s(t) - 21*z(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0031209 rounded to 5 dps?\nAnswer: 0.00312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 199 + -118. Let s = -7 + i. Let b = s + -73.9. Is b bigger than -1\/66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 192\/(-5 + 1) - -1. Let o = k + 50. Solve z = 4*u - 3*z, 0 = u - 2*z - o for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 - -15.87. Let f = t - -4.13. Sort 2\/5, 1\/2, f in increasing order.\nAnswer: 2\/5, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -4*s**3 - 7*s**2 - 2*s. Let n(b) = 8*b**2 + 2*b**3 + b**3 - 2*b**2 + 2*b + 0*b**3. Give -6*n(q) - 5*t(q).\nAnswer: 2*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 613649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.755 - -0.755. What is the second biggest value in -0.1, c, -2\/117, 6?\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1420 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mpm when three letters picked without replacement from {m: 11, p: 5}?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 427 minutes before 3:01 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56765642.\nAnswer: 2, 28382821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1939356?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/(-14) - (-1)\/7*16. Suppose 4*t - 2*c = -14, 8*c - 13 = 3*t + 4*c. Sort t, 4, -19, p in ascending order.\nAnswer: -19, t, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 231 and 6160?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/4, -3676, -1\/4, 1\/18?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/2*(-411)\/548*2\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 279.9 plus -159?\nAnswer: 120.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1694 = -3*y + 4559. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*z + 1 - 19. Solve -v - 5 = 2*b, 6*v + z*b + 25 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 6 = 4*b, -4*b + 4 = 2*v + 2*v. Let o be -2*3 + (12 - -556). Let l = o + -565. What is the smallest value in l, 0.5, v, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -83.51 - 1.49. Let h = -20.207711998 - -105.207712408. Let t = i + h. What is t rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -192 - (-195 - (-149 + 68)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g - 2*g - 6*g**2 + 9*g**2)*(g**3 - 2*g**3 + 2*g**3).\nAnswer: 3*g**5 - 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 671 + -670.9. Which is the nearest to g? (a) 1\/4 (b) 0 (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2*c**2 + 0)*(-1696 + 201*c + 1696).\nAnswer: 402*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/(-14) + 2 + -3. Suppose -21 = -a + 6*q + 28, -5*q - 35 = 5*a. What is the biggest value in a, -12, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 4, x: 2, b: 1, h: 1, e: 3}. What is prob of sequence ehxe?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 29036000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 4 = 0, -2*l + 124 = -3*c - 3*l. Let m = c + 197. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (34*24\/(-884)*-13)\/((-5)\/(130\/(-8)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 4, e: 3, s: 11}. What is prob of picking 1 v and 1 s?\nAnswer: 44\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 PM and 9:33 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1102188 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(171)*3 + -4 - (sqrt(171)*-3 + 3))**2 - (-3*sqrt(171) + -2 - (2 + (sqrt(171) - -1*sqrt(171)) - sqrt(171) - sqrt(171))**2)).\nAnswer: -243*sqrt(19) + 6216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 993 - 7?\nAnswer: 98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 106174 divided by 2.\nAnswer: 53087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 PM and 1:21 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2.22 - 2.6. Let t = 30.62 - d. Let n = -30.9999943 + t. Round n to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*a**5 + 8*a**5 + 11*a**5 + (a**2 - 4*a**2 + a**2)*(2*a**3 - 5*a**3 + 4*a**3) + 3*a**5 + a**5 - 5*a**5.\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-3)\/9 + (-338)\/(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3626291?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-232)\/(-435))\/(16\/120). Solve 0 = -y - 2, 0 = 5*n - p*y - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 17 = -3*n, -3*d + 5*n = 8*n - 12. Solve d*q = m - 12 + 24, -4*m + 9 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-136)\/40 - (0 + -4). What is the closest to 1 in v, 3, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 212107829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 532*c - 265*c + 4*r = 264*c + 41, 4*c + 4*r = 48 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 3*i. Let l(f) be the first derivative of 13*f**2 + 0*f + 1\/24*f**4 + 21 + 0*f**3. Let j(q) be the second derivative of l(q). What is x(j(d))?\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*v - 26*v + 2418. What is the lowest common multiple of v and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.5 or 1150922?\nAnswer: 1150922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be (8\/(-2))\/(-1 - 1)*(-3355)\/(-6039). Let f be -3 + (-30 + 2)\/(-4). Factor -8\/9*y**f + 5\/9*y**5 + p*y**2 - 2\/9 - 4\/9*y**3 - 1\/9*y.\nAnswer: (y - 1)**3*(y + 1)*(5*y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*y**2 - 1392924*y - 557168.\nAnswer: -2*(y + 139292)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 2*r + 336. Let l = r - -50. Suppose -3*o - 3 = 3*u, -10 = -2*o - 3*o - l*u. Solve -2*v - o = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/4 + 42\/(-8). Let k(v) be the second derivative of v**5\/20 + v**4\/3 - v**3 - 1371*v - 28. What is k(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101782399 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.005981 + -1.994019. Let f = 1.2 + -0.2. Which is the third smallest value? (a) f (b) 46 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23371*w = 23363*w + 24. Let h(q) = -3*q**2 - 5*q + 5*q. Let l(y) = 3*y**2. Calculate w*l(z) + 4*h(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -926\/15 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/8 in -4\/7, -0.249, 0?\nAnswer: -0.249","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 368 a factor of 1069594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 108 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1 + 15 - 2888\/304)*(-628)\/(-6). Solve 464*x - 7 = d*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 7993901 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 0, -0.4, 4\/3, -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 - 43*y**2 + 219*y + 116. Give q(37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2056 is divided by 679?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 7988.891 meters to millimeters.\nAnswer: 7988891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 4*o + 4*i = -131, o - 3*i - 47 = 0. What is the remainder when 199 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5709\/22 + (-6)\/(-4). Let j = p - 41. Let h be 21 - (-20)\/(-4) - -4. What is the highest common divisor of h and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:17 AM and 4:43 PM?\nAnswer: 506","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2 (c) 0.6 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**2 + 8310*l + 165801. Calculate t(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 16 = -8*i + 3*i, 4*p + 5*i - 14 = 0. What is the third derivative of -6*c + c**p - 4*c**2 + 6*c + 0*c wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4773 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6 - -19. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 151*i - 890. Give l(7).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*g + 1098 + 234. Let k be g\/20*(6 + -1). Suppose -5*s + k = -2*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10.63234 microseconds to nanoseconds.\nAnswer: 10632.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 - 8*r + 3. Let p be k(-8). Let q = -10 + 15. Suppose p*n = -t + q, -n - 2*n - 37 = -2*t. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -1 + 55*s - 32*s - 26*s - 5. Let f be c(-4). Factor -f*x + x**2 + 6*x + 3*x**2 - 20*x - 24.\nAnswer: 4*(x - 6)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 5\/3 + (-2)\/(-6) + -1. Suppose -3*y - z = -64. Calculate the greatest common factor of 84 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 8*f - 330. Let b = f - 39. Solve 2*w + 21*w**2 + 23*w**4 - 3*w**5 - 8*w - b*w**3 - 8*w**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2102002 + -220?\nAnswer: -2102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = w**3 + w**2 - 2*w + 6. Calculate p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -6\/18848471?\nAnswer: -6\/18848471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/5))**(-2\/9)*(x\/(x\/x**0)*x)**(-22) assuming x is positive.\nAnswer: x**(-994\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (11 - 0) + (-90 - -131 - 40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.1 or -376.77028?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -88 + 182. Let n = 1788\/19 - g. Let l = 4 + -3.7. Sort l, 0.1, n in decreasing order.\nAnswer: l, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4165 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16, 21, 26, 31, 36?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + x + 3268030 + 2743973 = 0, -x + 6011997 = -3*g. Round g to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 - 6*p**2 - 3*p - 2. Let y be a(-6). Let q = y + -33. Let z = q - -24. Round z to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 73076384 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 507239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that l**3 + 77*l**2 + 305*l\/4 + 19 = 0.\nAnswer: -76, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 32130 + 13?\nAnswer: 32143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 - 109. Let a be ((-4)\/2)\/(384\/n). Let p = -11\/12 + a. What is the second biggest value in 1\/2, 4, p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1604*a + 4 + 1431*a - 962*a + 4510*a)*(-1 + a + 1) - 7*a**2 + a**2 + 0*a**2 as b*a**2 + n*a + d and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 6 = -0*n. Suppose -3*h = -0*h - 39. Let y(p) = p**2 + 2*p + 5 - h*p + 4*p. What is y(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*r + 13*r + 155990 = 3*n, 3*r - 103965 = -2*n. List the prime factors of n.\nAnswer: 2, 3, 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -5, -0.4, -0.1, 3\/2, -10\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -89\/975 and 15\/13?\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -5 take away -35129565?\nAnswer: 35129560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t + 2. Let q(p) = 2*p - 5. Let o(v) = 3*q(v) + 8*r(v). Give o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -111 + 112.1. Is y > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w - 7. Let y be k(-6). Let d(o) = 3*o + 3. What is the remainder when d(y) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1907\/5712 + 1\/1904. Sort -0.4, -2\/9, m, 166 in descending order.\nAnswer: 166, -2\/9, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19)*2 + 2 + -2.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -2*z**2 + 32*z + 22. Determine h(18).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 549 by 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 33708, 33709, 33710, 33711?\nAnswer: 33712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -14 less than 6796794?\nAnswer: 6796808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 - 10*l - 6. Suppose 5*v + y = 49, -3*v + 2*v - y + 9 = 0. Let a be j(v). Is (-189)\/14*16\/a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.607 + -309.393. Let u = g + 307.34. Round u to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 25 * 16.2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 556*m**3 + m - 1748*m**3 + 10 + 0*m - 5.\nAnswer: -1192*m**3 + m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1006, -2006, -3006, -4006?\nAnswer: -5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 3, -h + 5*h = 5*n + 5134. Let a = 1740 + n. Is a a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -2086, 6, -5, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -3 + ((6*sqrt(68)*-3)**2 - (sqrt(68) + 5*sqrt(68) + 3)).\nAnswer: -12*sqrt(17) + 22022","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 127 - 119. What is the third biggest value in -3, 0.1, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -21, -46, -71, -96, -121?\n\"Answer: -25*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 - 2855\/(-15)) + 2\/3. Let v = a + -115. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 16114*v + 244. Let w(f) = -2479*f - 38. Give -5*t(g) - 32*w(g).\nAnswer: -1242*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**2)**(2\/33)*j**(1\/2)*j\/j**(3\/5) assuming j is positive.\nAnswer: j**(337\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) be the third derivative of c**5\/15 + 23*c**2. Let a(o) = 4*o. Calculate a(u(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -15, -25, -47, -87, -151, -245, -375, -547?\n\"Answer: -q**3 - 3*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 53.8 - 14.47.\nAnswer: 39.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (245\/6)\/((-20)\/210). Let i = 436 + h. Which is greater: i or 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/90217741 or 0?\nAnswer: -2\/90217741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5176473666\/649 + 7976073. Let y = j + 15\/59. Calculate the common denominator of y and (-8 + 1 + 8)*74\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1806894 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/1*6\/4. Suppose 0 = x - o + 2. Let r = 1954736 - 7818945\/4. Which is the nearest to x? (a) 4 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 99018 - 495086\/5. What is q in 28\/5*q - i*q**2 - 8 = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 154720133 - -2?\nAnswer: 154720135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**2 - 8*o - 7. Let t be x(-7). Let s(h) be the second derivative of t + 1\/9*h**3 + 2*h + 1\/36*h**4 + 1\/6*h**2. Solve s(k) = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -59563, -119125, -178687, -238249, -297811, -357373?\n\"Answer: -59562*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13237\/24 - 10338817\/18744. Let b = 88975\/21868 - w. Find the common denominator of 4\/9 and b.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 96*y. Let q(t) = 35*t - 646. Calculate q(f(x)).\nAnswer: 3360*x - 646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (0*m + 3*m - 4*m)*(12 - 15 + 16) in the form g + p*m and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/(-3) + 64\/12. Suppose -4*i + 20 = 4*s, u*i - 20 = i - 2*s. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j = -12*j + 22270. Suppose -9*v + j = 665. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-4\/13)*b*b*b*b**(-2\/75)\/b)**(6\/11) assuming b is positive.\nAnswer: b**(3248\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the second derivative of -u**4\/12 - 11*u. Let v(a) = 2*a. Give z(v(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 119108847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -159 + 166. Suppose x = -5*w + 4*w + 3, -2*x = 3*w - y. Solve -5*g = x - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*-272*43\/(-688)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-23 - -16) + 35 + -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 35\/11 - (-2)\/(-11). Suppose i - 5*l - 4 = t, l + 23 = -i. Let c = i - -19. Solve 5*p + d - 5 = 2*d, p = -d + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 11*(3 + (-2)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 5 = 0, -5*a + 826*j - 821*j + 55 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*(z\/(z*z\/(z\/z**(-3))*z)*z)\/z)\/z)**(-30)\/(z**(-2))**(-46) assuming z is positive.\nAnswer: z**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1220*z - 4769*z = 497087 for z.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 424 and 28545.\nAnswer: 12103080","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 350 and 1560.\nAnswer: 54600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*c - 117 = 1885. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5555\/3 - 1851. What is the nearest to 40 in 1\/5, 3, 1, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2d - -1?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1444 + 1444.000002394. What is q rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5\/13 (b) 9 (c) -0.4 (d) -3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from jisfigjsffjfffgg?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 324 = -5*i - t - t, 4*i - t = -254. Let p = -46 - i. What is the least common multiple of 2 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 2*c**3 + c**2 - 2*c - 4. Let x be r(-2). Let k be 1*((-3)\/1 - (7 + x)). Let o(q) = 1 - 25*q**2 + 50*q**k - 26*q**2 + 4*q. What is o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 280 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 2*q - 18 = 0. Let i be 10\/(-8) - q\/6. Let c = -1 - -1.3. What is the closest to -1\/3 in c, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -621*s + 12 - 12 + 2650*s to x + k*s and give k.\nAnswer: 2029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*g**4*l - 540*g**4 - 36*g**3*l - 7*g**3 - 2*g**2*l - 51*g**2 - 3*g*l + 5*g + 5*l wrt g?\nAnswer: -48*g*l - 12960*g - 216*l - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -38\/4157127 and -86\/63.\nAnswer: 29099889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.54 and -38?\nAnswer: -20.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z**3 - 7*z**2 + 13*z + 4. Calculate m(-9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*p**2*s**2*w**3 + 6*p**2*s**2*w**2 + 2*p**2*s**2 + 3*s**2*w**3 + 4*s**2*w**2 + 3*s*w**3 wrt w?\nAnswer: -24*p**2*s**2 + 18*s**2 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-5)\/(-15) + 10\/(-18). Let p = 1026\/17 - 50072\/357. Let r = 238\/3 + p. Which is the smallest value? (a) n (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 22.1 * 24\nAnswer: 530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7.5*-198.7.\nAnswer: 1490.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes after 1:17 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -12*r**3 + 33*r**2 - 43*r - 27. Let w(p) = -3*p**3 + 8*p**2 - 11*p - 7. Let m(y) = 22*w(y) - 6*x(y). Solve m(n) = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (r - 2 + 2)*(-5*r**2 + 0*r**2 + r**2).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 160 + -102. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 112*m - 31. Suppose -9*o - 30 = -14*o. Is p(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1083944737 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p**3 - 3*p**2 - p**3 + 5*p**3 + 2*p**3.\nAnswer: 4*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i**2 - 17959*i + 1839168 = 0. Calculate i.\nAnswer: 103, 17856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**3 - 8*q**2 + 21*q + 61. Let b be n(-10). Suppose 14*j = -9 + b. Solve 5*k = 3*x + 5, 4 = k - 4*x + j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4248\/7 - 204121\/336. What is the common denominator of -61\/176 and h?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 7) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11, -18, -25, -32?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xm when two letters picked without replacement from wmxw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 7.33 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 27\/7975 and 41\/1895.\nAnswer: 3022525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11 + -7. Let q be 59\/u - 1\/(-4). Let f be (2\/(-4) + 0)\/(36\/(-432)). Calculate the greatest common factor of f and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 5*i - 19. Let h be r(7). Suppose -l + h = -32. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1176)\/56*((-4)\/(-6))\/1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 13563770 or 48\/5?\nAnswer: 13563770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 82 - 15. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 492056361 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**2 - 53920*v - 13732515.\nAnswer: -5*(v + 261)*(v + 10523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a meter in centimeters?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 3*n + 16*u, -n = -92*u + 87*u + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q + 4. Let k(t) = 3*t. Let h be k(2). Let z(o) = -o**3 + 6*o**2 - 6. Let l be z(h). Give i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/((-6392)\/(-410)) + (236350\/(-2465) - -96).\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2403.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 37554 divided by -3\nAnswer: -12518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7779 + -7780. Is 7\/963 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -0.04 (b) 6 (c) -2\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**2 + 2*w + 4. Let j be a(2). Let h(s) = s**3 - 5*s**2 + 3*s. Determine h(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q - 157 = -103. Let i(l) = 10*l**2 - 14*l - 2. Let z be i(4). Calculate the greatest common divisor of q and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -74 + 17*p + 74 + 0*p - 3*p + p + 3*p - p - 6*p + (0 + 2 - 1)*(-3*p - 3*p + 5*p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r, 27 = -3*t - 0*t - r. Let m = t - -15. Let l be (-1 + 1)*(-3)\/m. Solve -2*z + 4*z - 3*o + 4 = l, -2*o - 9 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s**2 - 2*s**2 + 6*s**2)*(51*s**2 - 170 + 524 - 177 - 172).\nAnswer: 102*s**4 + 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35 = -5*m + 5*o, -3*o = -0*m + m + 13. Suppose 3 = m*q - 25. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from illiilmlml. What is prob of picking 1 m and 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 5*g**3 - 2*g**2 - 2*g - 1. Let p(i) be the third derivative of -11*i**2 + 0 + 0*i + 11\/6*i**3 - 1\/8*i**4. Let w be p(4). What is h(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -279 - -252.2. Let w = 20.8 + q. Sort -0.2, 5, w, -0.3 in descending order.\nAnswer: 5, -0.2, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 943.0619 kilometers to millimeters.\nAnswer: 943061900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k - 304 = -298 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 5*c. Let y(t) be the second derivative of -t**3\/3 - 307*t**2\/2 - 959*t + 2. Give y(m(k)).\nAnswer: -10*k - 307","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 22*y + 9. Calculate d(3).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -2*g**3 + 21*g**2. Let c(p) = -7*p**3 + 63*p**2. Let v be (-1)\/2*(-15 + 25). Let r(f) = v*c(f) + 14*x(f). Find the third derivative of r(t) wrt t.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**3 - 5*y**2 - 3*y - 5. Let w be v(-5). Let s = 14 - w. Suppose -5*g + 50 = s*h, -4*g = -2*g + h - 20. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 854.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -258, -538, -876, -1302, -1846, -2538, -3408, -4486?\n\"Answer: -5*j**3 + j**2 - 248*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -5 - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12100 + -12096. Which is the closest to 0.1? (a) f (b) -2\/7 (c) 15 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -7*x. Suppose -4*o + 3*o + 578 = x. Factor o - 578 - 6*g**2 + 3*g**3.\nAnswer: 3*g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - 8 - -10 - (4 + -17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 8, e: 2, n: 1, v: 2}. Give prob of sequence wew.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 4, a: 2, v: 2, f: 3, x: 3, z: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5478334959 to the nearest integer?\nAnswer: 1763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((-5 + (-1*sqrt(19))**2 - (sqrt(209)*-1 - sqrt(209))\/sqrt(11)) + (sqrt(95)\/(-6*sqrt(80)))**2).\nAnswer: 4*sqrt(19) + 8083\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of -d**8\/168 + d**6\/120 + 7*d**3\/3 - 5. Let s(c) be the third derivative of t(c). What is the third derivative of s(x) wrt x?\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 - 3. Let z = -45 - -54. Let g be ((-12)\/z)\/(10\/3). Which is the smallest value? (a) -5 (b) -4 (c) g (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55*h = 274674 - 393923 - 366236. What is h rounded to the nearest 100?\nAnswer: -8800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**2 + 7*m + 11. Let b(p) = p**2 - 17*p + 10. Let t be b(16). Let h be i(t). Suppose 172 = h*g - g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(128))\/(sqrt(8)\/sqrt(200))*3*-1.\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7*13740\/(-1848) + (-2)\/(-44))*1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 8.7*0.449\nAnswer: 3.9063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(315)\/(sqrt(72)\/(-2*sqrt(8))))\/((sqrt(720) - (-2*sqrt(720) + sqrt(720) - sqrt(720))) + sqrt(720) - sqrt(720)).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 768152129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be (75\/6)\/(1\/2). Suppose 4*i + 31 = 5*z - 118, -z - 4*i = -g. What is the third derivative of 8*s**2 - z*s + 5*s**6 + 29*s wrt s?\nAnswer: 600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + 127 - 1\/(-1). Let t(a) = -2*a**3 + 27*a**2 - 10*a - 23. Let i be t(13). Let q = i + c. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 92 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*i - 2 + 7 - 4*i**2 - 20 wrt i?\nAnswer: -8*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 60\/16*48\/30. Let u be -5*(-4)\/300*j. Factor -4\/5*c - u*c**2 - 2\/5.\nAnswer: -2*(c + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (7 + -12)*(-2)\/5. Suppose -x = f - 4, -o*f - 8*x + 16 = -4*x. Is -2\/11 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9.9599 times -141?\nAnswer: 1404.3459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4 and 15360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11.91 - 11.9991. Round q to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/32 and -91\/5976.\nAnswer: 23904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**2 - 9*j - 16. Let u be y(11). Suppose -u*x + 3*x = -9. Suppose -a + 4 = f, 2*a - x*f = -2*a + 9. What is the smallest common multiple of a and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 10*f = 0. Suppose -l + f*l = -2. Solve -2 = u + l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at least 107\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(5*(0 + 1 + sqrt(684) + 1))**2.\nAnswer: 3000*sqrt(19) + 86000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 198 = 48*l - 246*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10493073*a*b**3 + 2*a*b - 10655*a - 7*b**5 + 18*b - 7 wrt b?\nAnswer: -62958438*a*b - 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - 1) + (-76 - -66)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the first derivative of v**6\/90 - v**5\/10 - v**3\/3 - 2. Let m(i) be the third derivative of l(i). Let m(g) = 0. What is g?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -219 - -219.209. Let v = h - 0.309. Let t(o) = o**2 + 5*o. Let r be t(-4). What is the nearest to v in -2\/15, 0.3, r?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 331966 + 3*p**2 - 331967 - 2021*p - 5*p**2 to the form u + d*p**2 + s*p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 14 = 2*c, 0*c - l - 47 = -5*c. Let b = 20 + -18. Suppose -3*f = -b*f - c. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/(-62))\/((540\/450)\/((112\/40)\/7))\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 543794.\nAnswer: 2, 271897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1104 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 85*x + 37. Suppose -16*p = -4*p + 48. Let q(n) = n. Let i(v) = p*q(v) + f(v). What is the derivative of i(z) wrt z?\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:34 PM and 10:35 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + u = -2*n, -3*u + 3*n + 15 = 0. Suppose 5*r = u*w + 3*w + 45, -10 = 2*w. Calculate the remainder when 47 is divided by 6\/4 + 58\/r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 96295325 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.1011224l?\nAnswer: 101.1224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-2\/43)\/f)\/f)\/f**(1\/8) assuming f is positive.\nAnswer: f**(-747\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 110738, 224638, 338538?\nAnswer: 452438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6*1)\/((-20988)\/43725).\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(8)\/sqrt(4)*5*4.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 161147 divided by -9.\nAnswer: -161147\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-20))**(-5\/4)\/((m*(m*m*(m**(-1\/6)\/m)\/m*m)\/m)\/m)**(-2\/17) assuming m is positive.\nAnswer: m**(1274\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -113111 (base 8) in base 3?\nAnswer: -1221202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 690669 is divided by 1308?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 12.597151 rounded to 0 dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - x. Let s be 6 + (-6)\/(1 - 4). Solve -2*w + 0*w + s = x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*c + 46408 = -27*c. List the prime factors of c.\nAnswer: 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -165 - -153. Let c = k - -12.04. Let y = 1.02 - -0.08. Is c >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -219*w + 551*w - 196*w + 32 - 5 - 174*w.\nAnswer: -38*w + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-2*sqrt(56)\/sqrt(2))\/(sqrt(64)*-6 - sqrt(4)).\nAnswer: 2*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -10*y + 1. Give g(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (o + 2*o + o)*(0*o + 0*o - o**2 + (4 - 4 + 2*o)*(1 - 1 - o)) - 2*o**3 + o**3 - 2*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/(-6) + 52\/12. Let y be (4\/10)\/(1\/a). Suppose -151 = -5*c + 2*q, -5*q + y*q = 4*c - 130. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1304*b**4 - b**3 + 17*b**2 + 356350?\nAnswer: 5216*b**3 - 3*b**2 + 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = 2*u - 12, 14 = 4*m - 55*u + 58*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of -2*b**6 + 0*b**5 - 4 + 0*b**4 + 0*b**2 - 8\/3*b**3 + 0*b. Find the third derivative of z(m) wrt m.\nAnswer: -720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11473752, -11473751, -11473750, -11473749, -11473748?\nAnswer: -11473747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 537497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*s - 26 = 11*s - 2*u, 2*u + 6 = 0. Suppose s*k + 184 - 216 = 0. Solve -l = 2*m - 5*m + 14, 0 = -k*l - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10474*a + 2 - 3 + 1 - 10006*a to the form l + u*a and give u.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h**5\/11 + 12*h**4\/11 - 8*h**3\/11 - 36*h**2\/11 + 10*h\/11 + 24\/11 = 0. What is h?\nAnswer: -1, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -5207 divided by 41\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mnnp when four letters picked without replacement from {m: 7, p: 5, n: 4}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = 8*o - 2*g + 8, -2*o - g = 5. Let n = -40 - -40. Sort o, n, -1, -134.\nAnswer: -134, o, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2. Let q be -4 - -1 - (1 - 6). Let p(o) = -2 - 5*o**2 + q + 0. Give u(p(i)).\nAnswer: -25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of k**9\/52920 + k**8\/23520 - k**7\/8820 - k**6\/2520 - k**4\/8 - 3*k**2. Let r(v) be the second derivative of w(v). Factor r(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by 8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.5, 7, 6, 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -654136, -654127, -654118, -654109?\nAnswer: -654100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -6*d + d**2 + 7*d - 3*d + 2. What is the tens digit of v(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18 + -16. Find the second derivative of -5*o - o**2 + o**u + 3*o**2 - o**2 wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -2 + 25 + (-3)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = p + 748, -5*d + 3740 = 3*p - 5*p. What are the prime factors of d?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 2 g when three letters picked without replacement from {z: 2, g: 3, v: 2, n: 2, k: 1, t: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (28\/2)\/((-372)\/(-837)*-3*4).\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*u - 2*u - 4*g - 8, 3*g = -4*u - 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2068491 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 52119973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 908825 divided by -5\nAnswer: -181765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -3*y - 1. Let h(u) = -3*u - 1. Let g(o) = 2*h(o) - 3*z(o). What are the prime factors of g(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 76128064 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of -3*d**2 - 62*d + 773. What is j(-9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 5*d**3 + 20*d**2 + 14*d - 1. Let f(s) = s**3 + 4*s**2 + 3*s. Let i(b) = 11*f(b) - 2*g(b). Determine t so that i(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 4 + 1)*(-v - 2*v + 4*v) - v + v + v + (3 - 3 - 1)*(-v - v - v) - v + 5*v - 5*v + (-4 + 1 + 1)*(7 - 7 + 12*v).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.5 + 0.3. Let u = -9.6 - -9.1. Sort u, 0, s in ascending order.\nAnswer: u, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 241411 (base 5) to base 4\nAnswer: 2030111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -7250, -3, -6, 2, -5.\nAnswer: -7250, -6, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 4*t = t + 1, -4*w + 4 = -4*t. Solve w = y - 0*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -20101110121 (base 3) to base 4\nAnswer: -132230200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 61 - -19. Let m = o + -79. Suppose -13 + m = -4*r. What is the lowest common multiple of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 4 + 2)*(-11 - 11 + 0)*(-3*y + 0*y + 2*y) as r*y + j and give r.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -22*w**3 + 9*w**2 + 39*w + 10. What are the prime factors of x(-5)?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l - 25*l + 42*l + 19014 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 400212?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3\/14, 0.4, 2\/15, -2\/13, -6?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express 8826*u - 3559*u + 16880*u as h*u + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 5*s**3 - 11*s**2 - 13*s + 14. What are the prime factors of j(5)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 48 - 29 - 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**3 - u**2 + u + 4. What is the smallest common multiple of g(-2) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 126697 is divided by 80.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (15\/20 + 0\/2)\/(-3). Which is the closest to 2\/7? (a) o (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.3 and 82.\nAnswer: 106.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2736) - (sqrt(2736) - (sqrt(2736) + -1)**2)) + 4 + -1.\nAnswer: -24*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 0*x = -146. Suppose 2*r = 3*c + 41, 0 = -5*r + 3*c + x + 16. Suppose -5*w + 14 = -r. Is w less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-8)\/k)**(-1\/33)*(k**(1\/26)*k*k)\/k*k**(-15)\/k assuming k is positive.\nAnswer: k**(-4201\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4404846122?\nAnswer: 2, 2202423061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2185 and 44365?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1112 - -40?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**3 - 10*l**2 + 23*l + 9. Let u be n(-8). Let r = -199 - u. Calculate the greatest common divisor of r and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21716776 is divided by 7756?\nAnswer: 7732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 - -1 - (-4 - -2). Let k be (6\/(-4) + (-3)\/(-6))*(-2)\/2. Suppose l + k = n. Calculate the highest common factor of 45 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 4*v - 186 = 0. Suppose -3*h - 3*i + v = 0, 2*i - i - 188 = -3*h. What is the greatest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) 0.3 (d) 0.259617 (e) -1\/3 (f) -2\/9 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -206 - -206.1. Let d = -1.195 - 0.005. What is the closest to y in d, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 536*h - 223*h - 314*h - h**2 + 332 to the form c*h + x + l*h**2 and give x.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 4*q = 0. Let a be q*(3 - 1)\/2. Suppose 5*h - 10 = -a. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6650196 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 18497 - 15154 = 1140*o - 43397 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Expand (6*x**3 - 3*x**3 + 4*x**3)*(-1 - x + 1) + (4*x - 4*x + 3*x**2)*(3*x**2 + x - 2*x - 4*x**2).\nAnswer: -10*x**4 - 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 5.787858ml?\nAnswer: 0.005787858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.190956282 times -0.5\nAnswer: -0.095478141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k + 8 = -2*m - 4*k, 254*k - 70*k + 928 = -48*k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add together 4 and 20236054515.\nAnswer: 20236054519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 - 6 = 2*k. Let h = k - -17. Suppose -75 = -3*g - 0*g + 3*x, x = -3*g + 55. What is the highest common factor of g and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 370 and 141870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 12 + 3 = 0. Suppose -2*t + k*t = 35. Solve 3*g + 12 = 2*q + q, -5*g - t*q - 20 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 11, n: 3}. Give prob of picking 4 g.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 177 + -173. Let y be (-4)\/((-12)\/9 - o\/(-6)). Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21760, -21766, -21772, -21778, -21784?\nAnswer: -21790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*m - 58*m + 90 = 0. Solve -10*t = -30 - m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97*g = 91*g + 576. What is the lowest common multiple of g and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4351*n - 227201 - 106519 = -968*n - 3024*n for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pwwplwwlpwpwbypwp. Give prob of sequence pb.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 3, l: 4, o: 7, w: 1, z: 4}. Give prob of sequence oo.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 14 and 5974.1?\nAnswer: 83637.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 8:34 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 326*a + 6199. Let p be f(-19). Solve 4*x + 32*b - 36*b = 28, -b + 11 = p*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -33 + 10 + 10 + 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**3 + 103*u**2 - 2520*u + 18. Determine a(40).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyb when three letters picked without replacement from {b: 5, y: 8}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5038927?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 135 a factor of 1635341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 30610 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 1120966216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7372 + -7314. What is the highest common divisor of 1566 and t?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2*-0.17\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1096 + -640. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ze when two letters picked without replacement from {b: 2, u: 4, e: 1, z: 2, f: 1, y: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 153*l - 146*l - 2464. Suppose -l = -19*t + 11*t. Calculate the highest common factor of 110 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -4*j**3 - j**2 - j. Suppose -5*b + 62 = -q, 0*q + 5*q + 426 = -4*b. Let v = 344 - 263. Let k = v + q. Determine l(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*z**4 + 10*z**4 + 3*z**4 - 13*z**2 + z**4 wrt z.\nAnswer: 288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -35, -45, 4, -3, -10 in decreasing order.\nAnswer: 4, -2, -3, -10, -35, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of -i**7\/210 - 7*i**5\/12 + i**3\/3 + 201*i**2. Differentiate w(s) wrt s.\nAnswer: -4*s**3 - 70*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 - -46058.4.\nAnswer: 46063.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 8 = -l, 3*l - 9 = 3*n - 2*n. Let j be 12\/5 + (-4)\/10. Differentiate m**j - m**l - 1 - m**3 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 154 = 158. Is 82\/6 - 26\/f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -68 - 20. Let z = b + 126. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -3 (b) 90 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 14*j**2 + 7*j - 2. Suppose 2 = 2*t - t. List the prime factors of p(t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (705\/9 - -1)*555\/(-20). Let g(o) = 1128*o - 9. Let k be g(2). Let d = k + b. Calculate the common denominator of 37\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 910\/4 - (2 + (-10)\/4). What is the greatest common factor of 57 and n?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21\/681644 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**2 + 4*z - 28. Determine j(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19970, -39943, -59922, -79907?\nAnswer: -99898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ei when two letters picked without replacement from {n: 3, e: 2, i: 1, h: 1, q: 3, c: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 + 4*k + 13. Give n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4626 is divided by 308?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 15*s**2 + 14 - 1 + 7 - 3 + s**3 + 15*s. Let l be a(-14). Suppose -r - 5*k + 11 = -10*k, 0 = l*r + 3*k + 3. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-4\/13)\/(n**(-5\/13)*n))\/(n**(13\/3)\/(n**28*n)) assuming n is positive.\nAnswer: n**(926\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4636, -17553, -39068, -69181, -107892, -155201?\nAnswer: -211108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 996995.5 meters?\nAnswer: 996995500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -2251, -9, -2 in descending order.\nAnswer: -2, -9, -2251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11.04 - 11. Which is the smallest value? (a) t (b) -0.2 (c) -13 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -97*x**2. Let g(d) = -1232*d**2 - 1244*d**2 + 2491*d**2. Calculate g(j(u)).\nAnswer: 141135*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -176.37 - 223.474. Let x = 399 + b. Round x to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 2*q. Suppose 3 = -5*p - 5*r + 43, 3*p + 4*r = 28. Suppose 0*n - p*n + 14 = 2*f, -5*n + 3*f + 45 = q. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4900 = 4*u - 4*z, -2*z - z = -5*u + 6117. Let i = 183 + u. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 times 1.629\nAnswer: 9.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -0.2, 0.1, -0.1, -4, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 5*v + 25*v**3 + 1592*v**2 - 3180*v**2 + 1590*v**2 as u*v**3 + m + s*v**2 + w*v and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 581208349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 228112, 228111, 228110, 228109, 228108, 228107?\nAnswer: 228106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 228, 245, 272, 315, 380, 473?\n\"Answer: m**3 - m**2 + 13*m + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2312 + 6919 - 8*c - 2312 - 2295.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -s**2 - 5*s - 1. Let u be 2\/5 + -14*24\/140. Calculate l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/(-36) + 20\/(-288)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 609.7 - 610. What is the nearest to 1\/2 in p, 0, -2\/5, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*w**2 - 20*w - 21*w + 3 - 16*w + 59*w to the form d*w + m + y*w**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 6 - 14. Let p = 14 - 13. Sort p, g, 4.\nAnswer: g, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1198184*r**3*w**4 + 206*r**3 - 2*r**2*w - 4*w + 9 wrt w.\nAnswer: -14378208*r**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 3*h = -4*o - 46, -2*h = -o + 1. Let g(c) = -2*c - 2. Let j be g(-3). Suppose 1 = -p - j*m, -5 = 3*p - 2*p + 2*m. Is o bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 - 48*x**2 - 9*x - 304. Calculate v(-48).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3034279 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -129 - -308. Let d = -72 + y. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 448 = k. Let b(i) = i**2 + i - 5. Let n be b(-4). Suppose 4*m = 2*y + 78, 4*y - 3 = -n. What is the remainder when k is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (6 + -2)\/4*0. What is the closest to 0 in 1, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1643912 at least as big as -1643918?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = v + 227. Let y(f) = 58*f - 1. What is l(y(m))?\nAnswer: 58*m + 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - 4*m - 13, 2*c - 17 = c + 4*m. Let o(a) = -a - 2*a**3 + 3*a**3 + 10 - c. Give o(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from xsvvdwv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -5*a + 61 - 3*a - 34 - 26 + 2*a. Let h(w) = -w + 1. Determine h(t) - o(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-3)\/10)\/(6\/(-18313)). Suppose t = -1310 + 395. Let c = i + t. Find the common denominator of 67\/22 and c.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1004 and 8.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let -2\/11*m**5 + 42\/11*m**3 + 94\/11*m**2 - 240\/11*m - 288\/11 - 6\/11*m**4 = 0. What is m?\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, -1, -5.\nAnswer: -5, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0263 and 1159.\nAnswer: -30.4817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 11 + 40 = -5*f, -t - 2*f + 86 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 373434688.\nAnswer: 2, 11, 530447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is b in 7*b**3 + 11200460*b**2 + 52802003*b - 16000610 = 0?\nAnswer: -1600061, -5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 5*(-4)\/(-20) + 4. Let d be 3 + (2 + 0 - 2). Find the second derivative of 2*h**p + 16*h**d - 5*h - 9*h**5 - 16*h**3 wrt h.\nAnswer: -140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.07 - 0.13. Which is the nearest to d? (a) -0.02 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.25 - 1.25. Let o = q - -4.4. Let x = o - 2.9. What is the second biggest value in x, 1, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1984, -3, 50, 1, -4, 2, -1 in descending order.\nAnswer: 50, 2, 1, -1, -3, -4, -1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 75978 and 1008?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (6\/(-1))\/(5\/15). Let j be ((-12)\/r)\/(2\/(-3)). Let u be 0*3\/(2 - j). Which is smaller: 3\/8 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u so that 3*u**5\/2 + 59*u**4\/10 - 3*u**3\/5 - 4*u**2\/5 = 0.\nAnswer: -4, -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2151\/4 - -534. Find the common denominator of 12 + (-1 - (-1)\/2) and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 230.27 and -125.\nAnswer: -28783.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -3, -4, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l**17\/l))\/l)\/l**(5\/8)*(l**(-4))**(32\/9) assuming l is positive.\nAnswer: l**(-2221\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = m - 0*m + 28, -4*m - s - 156 = 0. Let p = m - -87. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oeooeeoekeoek. Give prob of picking 2 o.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2232 - -3593. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*j - 3, d + 5*j = -4*d + 5. Suppose -6*b = -37 - 5. Sort 4, b, d in descending order.\nAnswer: b, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.57*-4.36\nAnswer: 2.4852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*b - 12, -s + 3*b = b - 98. Find the common denominator of s\/68 - 1\/(-2) and (84\/(-490))\/(32\/(-520)).\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 2*l - r, -l - 2*r = -7. Let n be (7 + l)\/((-2)\/(-16)). Suppose 0 = -18*u + 22*u - n. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 87\/40 and 85\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 16\/3 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j + 2*o = -j - 17, 0 = j - 4*o + 11. Suppose -j*k + 2*k = -819. Suppose 0 = -5*b + k - 63. Calculate the remainder when b is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 382, 407, 474, 601, 806, 1107, 1522?\n\"Answer: 3*n**3 + 3*n**2 - 5*n + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 26582\/2057 equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Round -0.0006069856 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 + 1572*b**2 + 15717*b - 3. Give u(-10).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + -4315?\nAnswer: -4312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 728.7002 litres?\nAnswer: 728700.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h + 3*h. Let q be -10*((-1)\/(-2) + h). Let i(a) = -a + 2. What is i(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -62\/4641 and 48\/5?\nAnswer: 23205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.9 + -2.7. Let u = 1.9 + k. Which is smaller: u or 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 2*w + 1. Let u(h) = 2*h + 2. Let o(f) = -2*u(f) + 3*y(f). Let x(b) = -2*b + 1. Give -4*o(i) - 3*x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 156917\/1310 or 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -5*r - 45, 3*r + 3*m - 6 = -3. Let i be 0 - 3\/(-30)*-4. Which is the smallest value? (a) 2 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 559 by -23.\nAnswer: -559\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-4)\/(-2) - -1) + (2 - 0). Let d be -1 - 0 - 90\/(-75). Which is the nearest to d? (a) z (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of 2111*b**8\/56 - 1475*b**4\/12 + 517*b. What is the third derivative of m(n) wrt n?\nAnswer: 253320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ecsc when four letters picked without replacement from {q: 1, c: 2, s: 1, e: 10}.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4.33062 plus 1.3?\nAnswer: 5.63062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 + 603\/(-606))*-2. Let w = y - -2931\/202. Find the common denominator of w and 53\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 249512, 249592, 249670, 249746, 249820, 249892, 249962?\nAnswer: 250030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 10:33 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 117 a factor of 319011278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -35 + 27*j - 8*j - 12*j - 10*j.\nAnswer: -3*j - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2041039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.505 - -809.\nAnswer: 809.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 107 not equal to -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/7*1)\/(114 - 107)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 5*z = -3*u - 51, -9 = -u - 3*z. Suppose -u = 7*i + 66. Let a = -5 - i. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 18*m**4 - 2*m**3 - 18*m**2 + 2*m.\nAnswer: 2*m*(m - 1)*(m + 1)*(9*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(405) + sqrt(405)*2 + sqrt(405))**2 + -2)*1*2.\nAnswer: 51824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*s**3 + 34*s**3 - 27*s + 27*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8786*r**3 + 24*r**2 + 4420*r**3 + 0 + 4367*r**3 + 0.\nAnswer: r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-240)\/(-66) - -4) + -8?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 3 + 3 + l + 0. Let j be n(-6). Differentiate j + 1 - r**4 + 3*r**4 - 4*r**4 wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5\/2*(-6 - -4). Let p be ((-16)\/(-6))\/(j\/(-15)). Suppose 4*y + 316 = p*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67 a factor of 1025396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 7172490*j**2 + 32*j - 24. Let i be v(2). Round i to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 - 3*v**2 - 3*v - 3. Let w be (0\/(-3))\/(-2 - 1). Suppose w = 2*h - h - 4. Let l be n(h). Is 3 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2912 or 23404?\nAnswer: 0.2912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**2 - 55*v + 130.\nAnswer: -5*(v - 2)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -121\/2808 and 149\/66456?\nAnswer: 199368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vbot when four letters picked without replacement from oboobotvoboo.\nAnswer: 7\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -0.04, -2, -3, -1\/5 in ascending order.\nAnswer: -3, -2, -1\/5, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 113, 242, 383, 542, 725, 938?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in eleven halves of a millennium?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -3*d**4\/4 - 9*d**3\/4 + 3*d = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -l + 15. Let f = l - 12. Suppose 2*v - 4*z + 20 = -0*v, -4*v - 2*z + 10 = 0. Solve 6 = 5*h - 4*n - v, 0 = -h - 4*n + f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wcpzw. Give prob of picking 1 c, 1 p, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of t**2 - 715186*t + 2221694 wrt t?\nAnswer: 2*t - 715186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 3*k**2 - 3*k - 11*k**3 - 5*k**3 - 2*k**3 + 7*k. What are the prime factors of a(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*t + 10 = -15*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 81*u**3 + 18 - 83*u**3 + 983*u - 983*u.\nAnswer: -2*u**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -5*p**4 - 11992*p**3 - 12*p**2 + 6216967*p wrt p?\nAnswer: -60*p**2 - 71952*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 330 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1286775 divided by 36765\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 117144487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (190*h + 29*h + 650*h)*(-3 - 1 + 3) - 2 + 2 - 2*h + (-2*h - 3*h + 6*h)*(0 - 1 - 1).\nAnswer: -873*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 135682866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 30*w. Suppose 5*f - 1 = 3*q - 7, 0 = -2*q + 2*f + 4. Let t(a) = -15*a. Let c(l) = q*u(l) + 5*t(l). Let j(m) = 2*m. What is c(j(v))?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = -40 - -51. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18550 is divided by 2558?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 11, o: 9}. What is prob of sequence tt?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - (-13 - -2 - -2 - -8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttttttttftfttttttt. Give prob of sequence ttff.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 521079.9 years to months.\nAnswer: 6252958.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 44285\/4 - 11065. Let b(f) be the third derivative of -20\/3*f**3 + h*f**4 + 5\/24*f**6 + 0 + 0*f - 46*f**2 - 9\/4*f**5. Factor b(j).\nAnswer: 5*(j - 4)*(j - 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -273215732, -273215731, -273215730, -273215729, -273215728, -273215727?\n\"Answer: c - 273215733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -1327*s + 4958. Is j(-140) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/(2 - (-6)\/(-2)). Let y be (-1 + 0)\/(q\/9). Suppose -3*i - 421 = -427. Solve i*x - 1 = y for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*c - 1 = -34*c. Suppose -2*a = c - 11. Let h be 10*6\/16 - 0. Is a >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 106, 72, 18, -56, -150?\n\"Answer: -10*n**2 - 4*n + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -42004554*i**3*j**3 + 5*i**2*j**3 + 3223*i**2*j**2 - 30*i**2*j + 2*i*j**2 wrt i.\nAnswer: -252027324*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7 + 3. Let j be (-10)\/(-18)*h\/(-10). Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26 - 13. Calculate the remainder when 64 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 + 27*m**2 - 50*m + 14. Let u be g(25). Suppose -u*w + 184 + 124 = 0. What is the remainder when -3*1 - 30*-3 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -232201 (base 4) to base 13.\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 11? (a) 1\/13 (b) 4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -4315, -16484, -36445, -64198?\n\"Answer: -3896*s**2 - 481*s + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*j = -15*j - 270. Calculate the common denominator of 57\/8 and 11\/(-44)*j\/(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -6*f + 4*f. Let b(q) = 3 + 1 - 2*q**3 + 3*q**3 - f - q**2. Determine b(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-26*y**2 + 82*y**2 + 78*y**2)*(-4*y**2 + 7*y**2 + 10*y**2) in the form j*y**4 + q*y + n + b*y**3 + w*y**2 and give j.\nAnswer: 1742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 129*m**2 + 104*m**2 - 69*m**2 - 485*m**3 + 181*m**2 + 147*m**2 wrt m?\nAnswer: -2910","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 98228 and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-21)\/(35\/10 + -2) - -13)*71.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.7 and -1.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 4*t + 3*a, 2 = 5*t - 2*t + 4*a. Let v(h) be the second derivative of h**5\/20 + 7*h**4\/12 + h**3 + 3*h**2\/2 + 11*h. Is 3 a factor of v(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (36\/(-75))\/((-638)\/(-1595))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -698*p + 222. Let j be t(-1). What is the highest common factor of 115 and j?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 * 1.0537272\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0009555256 to seven decimal places.\nAnswer: -0.0009555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let -2*i**5\/5 - 1540*i**4 + 7423014*i**3\/5 + 22338288*i**2\/5 = 0. What is i?\nAnswer: -4648, -3, 0, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -267676 = 40*h - 267836 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 97, 104, 115, 130, 149, 172, 199?\n\"Answer: 2*r**2 + r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -373cb - -4?\nAnswer: -373c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3970, 8003, 12036?\nAnswer: 16069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 7019 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -32, 1\/6, -0.4, -5.\nAnswer: -32, -5, -0.4, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 4*z**2 - 4*z + 6. Let v be (-1)\/(-2) + (-100)\/(-40). Let u(s) = -7*s**2 + 9*s - 13. Let k(g) = v*u(g) + 5*d(g). Let a = -5 + 11. Give k(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l. Let d(s) = -2*s**2 - 11*s - 18. Let x(z) = -2*z - 4. Let a be x(-4). Let u(y) = a*g(y) - d(y). Is 30 a factor of u(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -7, 0.4, -2, -3\/7, 11\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*l**2 + 5 - 5)*(-96 - 29 - 252) to the form u*l + h*l**2 + v and give h.\nAnswer: -2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u + 18. Let z be w(8). Suppose -3*x = -2*d + 4*d - 10, -2*d - 4*x = -z. Suppose 5 = -0*o + d*o. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -37610\/1383 and -28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 544 divided by 17.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-4\/3)*(n*n**(-2\/21)\/n)\/n)**(-1\/35) assuming n is positive.\nAnswer: n**(17\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 19, 89, 207, 373, 587, 849, 1159?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1\/34 + -25\/17. Let g = -8 + 8.3. Which is the second smallest value? (a) -2\/9 (b) g (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 35050, 34510, 33980, 33466, 32974, 32510?\nAnswer: 32080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = -3*f - 2*v, -5*v = -3474*f + 3478*f - 57 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 66\/9 - (-4)\/6. Let k(c) = -c + 6*c + g*c - 11*c. Let o(i) = 2*i. Determine o(k(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(-6) + (1 - -1). Let x = h + -13\/6. Let j = -2.7 - -6.7. Which is the nearest to x? (a) -1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16111 is divided by 129.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, p: 4, r: 9}. What is prob of picking 1 c and 1 r?\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/750 and 67\/3600.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 - ((-1332)\/(-30))\/(-4 + (-157)\/(-40)). What is the greatest common divisor of m and 880?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 - 10*y + 5. Let q be d(5). Is 1\/4 - 1775\/q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 63 = -p, -4*p - 15 + 3 = 0. Suppose 0 = -7*o + w*o + t - 10, -6 = -3*o + 4*t. Solve g - 1 = -o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*c - 3*c + 2*c)*(-3*c**3 - 2*c**3 + 6*c**3 + (c**2 + 0 + 0)*(-4*c + 5*c + 0*c) + 6*c**3 - 2*c**3 - 5*c**3).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-5)\/(k*k\/k**(-1\/2)))\/(k**(2\/5))**(-37\/5)*((k**(-4)\/k)\/(k**(-5)*k*k))**(-13) assuming k is positive.\nAnswer: k**(1073\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 655 minutes before 4:49 AM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -778, -3064, -6862, -12178, -19018, -27388, -37294, -48742?\nAnswer: -61738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 10\/497 (c) 6 (d) 55 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12368?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q**(-4)*q\/(q\/(q\/q**(-5))))\/(q\/q**(2\/3))**25)\/((q**1)**0*q**1*q**0) assuming q is positive.\nAnswer: q**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 338276251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, v: 4, h: 9, l: 1, r: 3}. Give prob of picking 1 l and 1 h.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -11 + (-16)\/((-14)\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 376250 and 1935?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 33 and 177584?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0, -11\/4, -1\/4, 8\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 1 = 2\/19603353?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8321 and -0.31?\nAnswer: -2579.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - (-7 + 3)) + -2 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - 3)*((-420)\/40 - 2)*-2?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 87, 88, 89, 90?\n\"Answer: o + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 22 (b) -101 (c) 7\/327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 454062 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2 - 1. What is the units digit of w\/(-2) - (-15)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84 is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 0*n - 16. Let a be (12\/n)\/((-3)\/(-20)). Suppose i + 472 = a*f, 0 = -0*f + f + 5*i - 84. What are the prime factors of f?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -2*t + 14. Suppose m + t = 4*z, 4*z - 20 = -4*m + z. Solve -m*i - 4 = -10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 686\/3*i**3 + 300 + 22\/3*i**4 + 1990*i + 5734\/3*i**2 = 0. Calculate i.\nAnswer: -15, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 - 14*t + 2. Let l be s(-14). Solve 2*r - l*a + 7 = -r, 0 = -r - a - 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b - 1. Let s be g(-7). Let l = s - 3. Let y = l - -2. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t**4 + 3*t**2 - 3*t**2)*(-154717*t + 190 + 415 + 154716*t + 2 + t - 2 + (-2*t - 3*t + 4*t)*(-1 - 4 + 3) + 0*t + 0*t - t).\nAnswer: -t**5 - 605*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 84*s**3 + 11*s**2 - 7*s - 11. Let d(z) = 21*z**3 + 3*z**2 - 2*z - 3. What is -22*d(q) + 6*v(q)?\nAnswer: 42*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 2222.07 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 60441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 - 3*o**2 + 2*o - 2. Let n be y(4). Let i = -11 + n. Let c(u) = 5*u + 2. Calculate the remainder when c(6) is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ryzz when four letters picked without replacement from {y: 6, z: 11, r: 1}?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, -4, 4.01, -17 in ascending order.\nAnswer: -17, -4, 2\/7, 4.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 3 = 9*a. What are the prime factors of a - -2 - (-1 - 22)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 80863*c + 566042. Determine b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - 2476093.\nAnswer: -2476093.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24013 is divided by 254?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 28196204*l**4 + 64503422 wrt l.\nAnswer: 112784816*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/2 or 53017826?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*w - 2*o + 2, -12*w = -10*w + 5*o - 29 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 990163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(68)\/(sqrt(4) - (sqrt(4) - sqrt(64))*1).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = p + p. Suppose 3*z + 2*u - 45 = 0, 0 = 4*z - 5*u + p - 76. List the prime factors of (2 - -8)*(96\/z - -2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -1. Suppose 0 = -4*w + 4*o - 3*o - 10, -3*w - 4 = o. Which is the closest to w? (a) t (b) 2\/21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-176*r + 24*r + 298*r + 315*r)*(6*r + 3 - 3).\nAnswer: 2766*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -197 = 42*r + 223 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 + 2*d**4 + (16*d - 10*d + 19*d)*(-26*d**3 + 7*d**3 + 17*d**3) + (3*d - 2*d**3 - 3*d)*(-3*d + 2*d + 0*d) - d**4 - 3 + 3 + 0*d**4 + 2*d**4 + 0*d**4.\nAnswer: -45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34858.\nAnswer: 2, 29, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-5)*p**(-6))**(7\/5)\/((p**0)**(18\/13))**8 assuming p is positive.\nAnswer: p**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -53 - -94. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20594303.\nAnswer: 20594303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aa when two letters picked without replacement from {k: 4, a: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -336 + 360. Calculate the remainder when 43 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9.42005325 - 9.42. What is i rounded to six decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3\/2*(-360)\/135\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4524 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes before 10:06 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (2 - 1) + 30 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 = 4*d + 4*a, -d - 2*a = -2*d + 9. Let m = d + -6. Find the second derivative of 2*g**3 - m*g + 4*g - 7*g**3 + 11*g wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2d + 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sww when three letters picked without replacement from wscwwcwsss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**9\/a)\/a**(-2\/7))**(3\/44) assuming a is positive.\nAnswer: a**(87\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 58985 and 4.\nAnswer: 235940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1953*a*q**5 + 2942*a*q**2 + 2*q**6 wrt q.\nAnswer: -117180*a*q**2 + 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (-55 - 25) - 155?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 2*h = 4*t + 12, 3*h - 4*t = 14. Suppose -10 = a - h*a. Calculate the least common multiple of 1 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 573\/10 + -58. Let o = l - -139\/170. Let t = o - 27\/85. Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.12562 take away 0.4?\nAnswer: 2.72562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k**(-3)*k)\/k)**(-44))**50 assuming k is positive.\nAnswer: k**6600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 20*v**2 - v + 22. Let k be m(4). Suppose k*c = 342*c - 808. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 119 = -4*w. Suppose w = -3*n - 5*y, 0*y = 3*n + y + 11. Let g = -0.04 + -2.96. Sort n, 1\/3, g in decreasing order.\nAnswer: 1\/3, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 62 - 58. Solve z*y + 0*y + 16 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7\/425 + 2\/85. Let n(k) be the second derivative of -b*k**5 - 2*k + 0*k**4 + 2\/15*k**3 + 0 - 1\/75*k**6 + 1\/5*k**2. Find m such that n(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -22*a**3 + 1 + 0*a + a + 0. Let v be p(-1). Let s = 25 - 14. Calculate the highest common divisor of s and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 3*u**2 - 4*u - 8. Let w be x(5). Let v = w - 143\/3. Which is the closest to 0.12? (a) -1 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*o - 20*o = 81. Let p = o - 25. Suppose 25536 = -2*y - 6*k + p*k, -4*y - k = 51044. What is y rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 0, 6*h - 5*h + 0*b = 4*h - b. Solve 7 = 4*m - 5*v - 30, h = -4*m - 5*v - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 24120 (base 8) to base 12\nAnswer: 5b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 78318 divided by 39159.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 913464188 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:04 AM and 6:10 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -488 + 495. Suppose 5*m = -2*r + 18, 0 = 3*r - 5*m - 1 - 1. Sort g, r, -4.\nAnswer: -4, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52.99 rounded to 0 decimal places?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -107\/350 - -1\/50. What is the third biggest value in 1, -1\/2, -3, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 271809.07594884.\nAnswer: -271809.07594884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = -455.5157 + 460.47. Let i = h - -0.0457. Which is the third biggest value? (a) i (b) -21 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -33 - -55. Suppose 3*q + a = -t, q + t + 11 - 1 = 0. What is the tens digit of (-4)\/12 - 62\/q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/2 in 1\/4, -30, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1042844151 is divided by 2046.\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 265.9*-172.\nAnswer: -45734.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4 + sqrt(612)*2 + 1 + sqrt(204)\/(sqrt(12)*1))**2*-1.\nAnswer: -156*sqrt(17) + 5764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/14)\/((-1453)\/(-91) - (15 + 1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-131 - -12) + (103 - 11) + -46?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 240025 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -115\/47664 and 101\/24.\nAnswer: 47664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 3 - 9 = 0. Let q be k\/(-4)*(3 - 5). Let r be 11\/(-40) + (-1)\/8. Which is the nearest to q? (a) 0.3 (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -7.82+-1.43\nAnswer: -9.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -473 - -471. What is the units digit of -27 + 873 - (o\/(-1))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 PM and 2:46 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -19\/6? (a) 4 (b) -1.8 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 22 + -30 - (-17 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 8:37 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 521 (base 7) to base 14.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-7\/2)*d)\/d)\/((d\/(d\/(d\/d**(-2\/27)))*d)\/d)*d**(-4)\/(d\/(d*d*d**(-7)))*(d\/(d\/d**(-3))*d*d**(-1\/11)\/d)\/(d*d**(-1))**(-17) assuming d is positive.\nAnswer: d**(-10493\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 37648.53 rounded to the nearest ten?\nAnswer: 37650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -68 or -10?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 7 - (0 + -1 + 6). Sort -2\/5, 1, a in decreasing order.\nAnswer: a, 1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00039368 to 5 decimal places.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 113*i + 40*i - 25*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -51727 divided by -7.\nAnswer: 51727\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5 + 1 + 1)*(-k - 2*k + 2*k)*(-k**3 + 85*k - 85*k) to m + j*k**3 + u*k**2 + c*k + o*k**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 24 + 41 = 4*o, -4*o + 60 = -4*n. What is the remainder when 178 is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1950087307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 16*m + 6. Let b(a) = 7*a + 3. Suppose 4*n + 33 = 5*q, -3*n + 7 = 3*q - 29. Let i(h) = q*b(h) - 4*j(h). Give i(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-6*(3*-1*sqrt(128) + 1 + sqrt(200) + 2))**2*-1.\nAnswer: -86616 + 18144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5746650867*z**2 - 262602*z - 3.\nAnswer: -3*(43767*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1010090343 less than or equal to 1010090342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - g - 4 + 8)*(0 + 2 + 1).\nAnswer: -3*g + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be (11 - 9)\/(2\/(-333)). Let z = n - -794. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b**2 + 3*b**2 - b**2)*(-6 + 5 - 11) - 5*b + 5*b + b**2.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1 + 2)\/((2 - -6)\/(-16)). Find the common denominator of ((-4)\/(-1*48))\/(z\/(-38)) and -97\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -91*d**3 - 4*d**2 + 21*d + 25. Does 13 divide f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*i**6 + 6*i**3 - 2*i**2 + 21.\nAnswer: -240*i**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -43131*c - 838 = -43244*c + 2100 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 621 + 2187. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -96*l**2 - 768*l - 6. Calculate a(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*k + 121 - 11 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(2*sqrt(78) + sqrt(78)) - sqrt(78) - sqrt(78))\/(sqrt(486)*2 + sqrt(486)) + ((sqrt(26) - sqrt(104)\/sqrt(4))*5)\/sqrt(2) + -2)**2.\nAnswer: -16*sqrt(13)\/27 + 3124\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -b + 4. Let l be j(2). What is the derivative of l - x - 4*x + 2*x wrt x?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-60)\/180*-10*1281\/(-280)?\nAnswer: -61\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -1. Let n(d) = 3*d - 10. Let u(c) = -2*n(c) - 2*x(c). Let k be u(-4). Which is smaller: k or 47?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 131*b + 1015*b + 342*b + 1157*b - 5.\nAnswer: 2645*b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0258474391 to five decimal places.\nAnswer: 0.02585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) be the third derivative of 0*y - 22*y**2 + 2 + 0*y**3 - 1\/12*y**4 + 1\/120*y**6 - 1\/60*y**5. Factor k(d).\nAnswer: d*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 92 + 260 = -32*t. Let b(f) = 6*f**3 - 11*f**2 - 3*f - 19. Let g(z) = -2*z**3 + 4*z**2 + z + 6. What is t*g(i) - 4*b(i)?\nAnswer: -2*i**3 + i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -103\/250 and 40\/(-180) + ((-744)\/(-297))\/(-1)?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 679468.\nAnswer: 2, 37, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((7\/(-105))\/(6\/30))\/(-3).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1862040 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 521.3193t in nanograms?\nAnswer: 521319300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10755787 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, -133, -0.2?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2915 + 2942. What is the highest common factor of 1224 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3964 divided by -411.\nAnswer: 3964\/411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*i + 2*i + i)*(-1 + 4 - 2 + (-21 + 10 - 53)*(0 - 1 + 2) + 3 - 1 + 0)*(3 + 5 - 4).\nAnswer: -2928*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 244, -9, -1, 31 in ascending order.\nAnswer: -9, -1, 5, 31, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 51 = t - 4*t, 4*o + 29 = t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 175*s + 5779. Determine z(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 265 and 29039760?\nAnswer: 29039760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 7, 1299, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -379*l - 2528 = 253*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 65528 and 1498953?\nAnswer: 11991624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 5*u**3 + 6*u**2 - 6*u + 6. Let b = 45 - 42. Suppose 5*o - b*l = -28, -o - l - 3 = 1. Let w(t) = t**3 + t**2 - t + 1. Give o*v(q) + 30*w(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.023 + -3.323. Let k = -2.4 - c. Let x = -247\/4 - -62. Is k less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*i**3\/4 - 11080*i**2 - 26600105*i - 8873744220.\nAnswer: -5*(i + 396)*(i + 4234)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 142, -0.2, 8, -1, 13\/9, 5 in descending order.\nAnswer: 142, 8, 5, 13\/9, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1449957851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 10*m**2. Let j(w) = -11*w**2. Determine f(j(k)).\nAnswer: 1210*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqqqqqq. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 54413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 15*n - 24. Let w(f) = 3*f - 5. Let y(b) = 5*o(b) - 24*w(b). Let l be y(1). Suppose -2*v + 3*v + l = 4*j, -4*j = -8. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 65*h + 296 - 91*h - 264 to n + u*h and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-13)\/(-5) - 2\/(-5). What is the common denominator of -67\/2 and (-3)\/w - (-86)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 1 + 5*h**2 - 1. Let d(r) be the first derivative of -7*r**2\/2 + 6*r - 2. Let i(y) = -6*y + 5. Let z(f) = -5*d(f) + 6*i(f). Calculate z(a(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -2\/3, 6131, -17, 0.2 in descending order.\nAnswer: 6131, 3, 0.2, -2\/3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 - 11*z**2 - 10*z - 7. Let j = 4 + 2. Suppose 43 = v - o + j, -o = 3*v - 91. Calculate the remainder when v is divided by p(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2092 (b) 0 (c) -3 (d) 0.3 (e) 5 (f) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4126086 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 - 9*o - 9. What is the smallest common multiple of v(-7) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 150\/(-5)*57\/570\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 16991 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 60*n + 43 + 137. Put 0, n, -1813 in ascending order.\nAnswer: -1813, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes after 11:12 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 1\/4, -3\/4, 3\/2, -6.32, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -180\/17 < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 - -7707?\nAnswer: 7710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15 + 214*v + 2*v**3 - 216*v - 17 - 41*v**2 to h*v + u + y*v**3 + k*v**2 and give k.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 68246177 from 20.\nAnswer: -68246157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {y: 2, r: 2, f: 1, g: 1, w: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -582*m + 2894. Let g be y(5). Suppose a + 2 - 3 = 0. Sort -1, g, a in descending order.\nAnswer: a, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 7226.7597ns?\nAnswer: 0.00000000200743325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3128452 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -33 + (25 - -59 - 46)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of g**7\/7 - 219*g**4\/2 - 3283*g**3\/3 - 5874. What is the third derivative of n(v) wrt v?\nAnswer: 120*v**3 - 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 2\/9, 2\/5, -45, 1\/4, -0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 965 + 0*h - 965 + 0*h - 6*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 129 (base 15) in base 2?\nAnswer: 100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1626 + 23?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, 1.6, 19?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -566*f**4 + 2066 wrt f?\nAnswer: -2264*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 238, 3, 5 in decreasing order.\nAnswer: 238, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**3 + 0*o**2 - 6*o**2 + 3*o**2)*(-3*o - 5*o + 4*o).\nAnswer: -4*o**4 + 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0, -11135, -6, -5 in decreasing order.\nAnswer: 3, 0, -5, -6, -11135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.71 + -0.29. Let v = -0.4 - -0.4. Which is the second biggest value? (a) v (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190427 is divided by 63468.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4 and 804?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -3125 by -3125.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x + 2*x - 2*x + (2*x - 2*x + x)*(1 - 5 + 3) + 2*x - 2 + 2)*(7*x**2 + x - x) + (0 - 2 + 3)*(3*x**3 + x**3 - 2*x**3).\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -97, -93, -79, -49, 3, 83?\n\"Answer: u**3 - u**2 - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5 greater than or equal to -3\/6767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the first derivative of -n**3\/3 - 7*n**2\/2 + n - 60. Give x(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (226 - 769*r + 1495*r - 730*r)*(3 + 0 - 4) to a*r + k and give k.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -4a721 (base 12) to base 9\nAnswer: -163807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*x - 9*x - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8848253469 to the nearest integer?\nAnswer: 2068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -208 + 234. Let z = o - 20. Solve 4*s = z*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - (1 + -39)) + 1 + 0 + (102 - 108)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/9 and 99\/712.\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -365409 = 366*j - 390297 for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*2*((sqrt(425) - (-4*(-2 + sqrt(425)) + sqrt(425))**2) + sqrt(425) + -5*sqrt(425)*-1).\nAnswer: -38890 + 2750*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2\/4 - 19993*s\/2 + 199905\/4.\nAnswer: (s - 39981)*(s - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -519*292\/365*(-2)\/(-12)*-25.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 37408*q**2 - 544*q + 26543199 wrt q?\nAnswer: 74816*q - 544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20219864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**2 - 13*n + 45. Give i(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(99)*-1 + sqrt(99) + sqrt(99)) + 6*sqrt(99)*-1)\/(sqrt(72)\/(-1*sqrt(392))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 2*r + 4, 5*r - 15 = -5*t. Suppose -5*a - 11 = -1. Let b be a\/(-4) + 0 - -1. Is t >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-3 + ((1*(sqrt(162)\/sqrt(3))\/sqrt(6))\/(sqrt(147) + (sqrt(147) - (sqrt(147)*-5 - sqrt(147)))*-2))**2).\nAnswer: -149040\/8281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2312095 is divided by 908?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 215973 by -7.\nAnswer: -215973\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**3 + 10*g**2 - 8*g - 4. Let s be p(9). Suppose -2*n - 5 = s. Let w = 0.13 - -0.07. Which is the biggest value? (a) -4 (b) n (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 21*i - 105. Let s be z(5). What is the second smallest value in 2\/181, s, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhhhhm. Give prob of picking 3 h.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*i**3 + 65 - 65 - 12*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 55875*q**2 + 6318*q - 432 = 0 for q.\nAnswer: -24\/149, 6\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -1082*j - 207744. Determine w(-192).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/4 (b) -2\/13 (c) 16 (d) 28296\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(200) - sqrt(200))**2*6 + 0 + sqrt(200) + -1 + 1.\nAnswer: 10*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**3 + 28*w**2 + 29*w - 82. Calculate d(-27).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 206.8 + -183. Let h = c + -27.8. Let y be (2\/(-4))\/((-2)\/(-6)). What is the smallest value in y, h, 0, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from djjrdrrttrrjejrr. What is prob of picking 2 r and 1 e?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -728110*u**2 - 6694*u + 728108*u**2 + 6694*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8419*d**2 - 4925*d**2 + 2780 - 5441*d**2 wrt d.\nAnswer: -3894*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8310 and 285?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -t - 36, 36 = -2*r + 2*t + 2*t. Let v = 5 - r. Let p(x) = x**3 - 5*x**2 + x - 2. Let l be p(5). Solve -2*u - 5*f = l*u - v, -5*u = -f + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*c**3 + 77*c - 5*c - 9*c.\nAnswer: -8*c**3 + 63*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -18*f - 153. Let z be x(-8). Sort 7, -1, z, -4 in ascending order.\nAnswer: z, -4, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16 - 16 + 95*g.\nAnswer: 95*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of 15*g**7\/56 - 743*g**6\/32 - 2677*g**5\/120 + 163*g**4\/3 - 100*g**3\/3 - 2869*g**2. Find n, given that d(n) = 0.\nAnswer: -1, 4\/15, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 12.85244 to 2 decimal places.\nAnswer: 12.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 25 - 24.7. What is the smallest value in -4\/3, 2\/5, u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 352 equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 14223845 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 22*z - z**4 - z**2 + 30*z**3 - 74*z + 28*z - 4 + 23*z - 3 as o*z + d*z**3 + h*z**4 + i + c*z**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + u**3 + 2)*(13*u - 24*u - 5*u).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6640420 divided by -11449.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = o**2 - 2*o + 2. Let l be z(3). Suppose -27 = -l*y + 3. Let a = -211 + 217. Calculate the smallest common multiple of a and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -28*a**2 + 0*a**3 + 5*a**3 + 4 + 4*a - 14*a**2 + 0*a + 44*a**2 to h*a + n*a**3 + q*a**2 + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -149450.9811 to the nearest ten.\nAnswer: -149450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.113 take away 926?\nAnswer: -926.113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.4, 480, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 + -2. Suppose -2*o + 1568 = u*o. Suppose -x - o = -5*n - 0*x, 0 = -3*n + 5*x + 222. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 3081*a**2. Let f(i) = -2*i**2. Calculate f(z(l)).\nAnswer: -18985122*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:48 AM and 3:44 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12.1 - 12. Let t = w - 0.12. Let o = t - 0. What is o rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 966 and 5753958?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1163.5304 - 1164. Let k = v + -0.0304. Let h be 3\/2*(-1)\/2. What is the nearest to 1\/4 in k, h, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -150668033 at least as big as -150668032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 29488922237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -542131, -2168528, -4879189, -8674114, -13553303?\n\"Answer: -542132*z**2 - z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 22*g**2 - 690*g - 4. Let q(f) = 28*f**2 - 693*f - 5. What is -4*q(x) + 5*u(x)?\nAnswer: -2*x**2 - 678*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-700)\/105)\/((-12)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 20774 and 6298.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 27 (b) -2\/23 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 10697, 10775, 10853, 10931, 11009?\n\"Answer: 78*w + 10619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) -1\/2 (b) -32 (c) -3 (d) 0.05513 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 34 (b) 1155.9 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j - 3*u - 6 - 4 = 0, -5*u - 22 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-26)\/13)\/((-2)\/((-6)\/1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 15143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = 227 + -225. Suppose -5*a - 10 = 0, -3*q + x*a + 68 = -8. What is the highest common divisor of q and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/24 and -117\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x. Let n(m) = 0 + 0 + 1. Let d(l) = l**3 + 20*l**2 + 17*l - 39. Let i be d(-19). Calculate i*p(j) + 3*n(j).\nAnswer: j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify a\/(a\/a**(-24))*a\/(a**6\/a)*(a**22)**(-27) assuming a is positive.\nAnswer: a**(-622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 29567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r**5 - 56*r**4 - 34*r**3 + 8*r + 8. Let g(h) = -3*h**5 + 75*h**4 + 45*h**3 - 11*h - 11. Let t(u) = -8*g(u) - 11*w(u). Let t(o) = 0. Calculate o.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 7:51 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1780*2\/(-200) - ((-12)\/10 - -1). Calculate the highest common factor of u and 3114.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 36628 to the power of 1\/2, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 14 + 2. Let c(u) = -205*u**2 + 4*u - 1. Let n be c(v). Let g = -52783\/16 - n. What is the common denominator of g and -67\/14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/(((-2277)\/(-2))\/23).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 61 - 26. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 9:33 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = -2*m - 7*f, -f - 60251 = -m - 60250 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**4\/((q**5*q)\/q*q)*q*q**6*q*((q\/(q\/q**(2\/5)))\/q)\/q*(q**(-1\/3))**(-26\/5)*(q**(-1))**47 assuming q is positive.\nAnswer: q**(-613\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2725, 5486, 8247, 11008, 13769?\n\"Answer: 2761*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 3204*z - 93400. Give j(29).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 420391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be 164\/123*6\/14. Which is the closest to 0.111? (a) -7\/5 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25973120?\nAnswer: 2, 5, 40583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-14)\/21)\/(3 + (-116)\/36). Differentiate -108*p**2 + 3 + 48*p**2 + w wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9*((-6)\/9 + 0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.71 and 6?\nAnswer: -4.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -5*p - 10. Let j be v(-5). Let l be 20\/j*(-3)\/(-1). Suppose -5*c = -l*c - 25. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -41*j + 4. Let k(o) = 14*o - 1. Give 3*a(c) + 8*k(c).\nAnswer: -11*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 4*y + 14126 = 0, -5*y - 3886 = 4*b - 32138. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -354*f. Let s(o) be the third derivative of -o**5\/20 + 2*o**2 + 40. Determine s(g(c)).\nAnswer: -375948*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and 0.1592?\nAnswer: -0.1592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 9956196011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 - 3 + 1)*(9*w - 26*w + w) + w + 0*w + w + 0*w + 2*w - 4*w + (-1 - 1 + 3)*(1 - 1 - 2*w) to the form u + j*w and give j.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*6*(-3 + 5*(sqrt(1053) - -1*sqrt(1053)) + 2)**2.\nAnswer: -3790836 + 6480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10, 1, 1\/8, 4, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -3*g - 3. Let r(v) = -v**2 - 11*v - 12. Let n be r(-10). Let x be s(n). Solve 6*t = x*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 455889.\nAnswer: 3, 7, 17, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.7, 631, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 4, v: 2, p: 3, g: 6, m: 1, l: 4}. What is prob of picking 1 p and 1 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 1048*x - 30528 = -752*x + 104*x for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9356 - -9496. What is the least common multiple of 9 and k?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 26 + -26.1. Let l(y) = y**3 + 7*y**2 + 7*y + 9. Let r be l(-6). Sort -3, r, g in increasing order.\nAnswer: -3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 41.916 + 0.084. Is z at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.1 + -0.3. Suppose -x - 2*y - 3 - 3 = 0, -4*x + 31 = -3*y. What is the second biggest value in 3, 2, x, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + q = -2*i - 6, i + 3*q + 8 = 0. What is the least common multiple of 9 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 PM and 12:27 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 747*i**3 - 7177*i**2 - i wrt i?\nAnswer: 4482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2374, 2384, 2400, 2422?\nAnswer: 2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 + 4*b**2 + 12*b + 3. Let a be g(-3). Let u(l) = -l**3 + 8*l**2 + 3*l - 6. Let q be u(8). Calculate the highest common divisor of q and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 3*r + 28. Let t(m) = m + 7. What is 4*a(p) - 18*t(p)?\nAnswer: -6*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -k**2 + 4. Let b(l) = -l**2 - l + 5. Let j(a) = -4*b(a) + 5*y(a). Let z = 7 + -4. Calculate j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x and 1 o when four letters picked without replacement from owoxxxxowxxo?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 5 - 2)*(0 - 3*n + 0)*(-4*n - 1 + 1) - n**2 + 10*n**2 + 4*n**2.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*v - 21*i + 405, -9781*i + 9783*i - 35 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f + 3. Let p be l(0). Suppose -3*r = i - 0*r - 1, 5*r = -4*i + 39. Suppose 0 = 19*u - 23*u + i. Solve -u*b - 2 = -p*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -81.7 - 5.3. Let m = w + 86.95. Let v = -158\/5 - -32. Is m < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-33926)\/(-33) - 4\/(-6). Let h = 6155849\/5984 - r. Let v = h - 4201\/1632. Calculate the common denominator of -137\/12 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/7, 1\/21, -53, -2 in decreasing order.\nAnswer: 4\/7, 1\/21, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 993433674 to the power of 1\/3, to the nearest integer?\nAnswer: 998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a - a + a)*(-2*a + 1 - 1) + (-2*a + a + 2*a)*(5 + 4*a - 5) + 5 - 38*a**2 + 2*a**2 - 5.\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that 2*k**3 + 38713350*k**2 - 2*k - 38713350 = 0.\nAnswer: -19356675, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-5) + 381\/15. Suppose 3*w + 143 + p = 0. What is the common denominator of (-5)\/10 - w\/(-6) and 145\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 48 - 10*l**2 - 3*l**3 - 48.\nAnswer: -3*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (9\/3 - 1) + -14. Let o = -19673 + 19670. What is the third smallest value in o, t, 3, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -35*y**4 + 456.\nAnswer: -140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 54640 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, z: 15}. What is prob of picking 2 x?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 20 - 50472\/2016 - 4*3\/7?\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 x, and 1 r when three letters picked without replacement from xurxsxucdxccdc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -34559, -34566, -34573?\n\"Answer: -7*i - 34552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the third derivative of -k**4\/4 + k**3\/2 - 6282*k**2. Let d(p) = 1. Calculate -4*d(u) + j(u).\nAnswer: -6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (20\/110)\/(612\/(-1122)*(-21)\/9)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 200624235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, 2\/89, -0.022, 3, 2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -239.5 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-279)\/(-3) - (-589780)\/(-3985)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 2 + 5)*(9 - 7 - 3*z + 4) to x*z + d and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**3 + 2*j**2 + 2*j - 4. Let t be v(2). Let z(p) = 45*p - 5 + t*p - 44*p. Calculate z(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -936*u + 13203 = -673 - 8588 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = z**3 - 4*z**2 - 4*z + 2. Let g(l) = -l**3 + 4*l**2 + 4*l - 1. Let k(n) = -2*g(n) - 3*u(n). Let a(p) = p**2 + p - 1. Give 4*a(r) - k(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 - 0. Let y = -8.5 + 9. Which is the closest to -1? (a) v (b) y (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 3*a - 123 = 2*n, -603 = -5*a + 4*n. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 PM and 5:20 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the third derivative of -v**6\/120 + 2*v**5\/15 + 3*v**4\/8 + v**3 - 2*v**2. Let y be l(9). Let n = 9 - y. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -321404 < -321415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 156 + -96. Suppose -203 + m = -3*d - 2*q, 2*q = -4. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 21570 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -344525.13 - -223233.38.\nAnswer: -121291.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 44d - 2?\nAnswer: 44b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 22677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(187)*1)\/((1*sqrt(132))\/sqrt(12)) + -3 + -5.\nAnswer: -8 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4152521, -4152520, -4152519?\nAnswer: -4152518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 2 = 63. Solve -3*z + 4*l - 4 = -l, -4*z - l = w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 51*q - 54*q + 9 = 0, 3*j = q - 21. Let r(n) = -6*n**2 + 4*n - 2. Let f be r(2). Are f and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 93 divide 132592983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -12\/11 (c) 1\/10 (d) 1.1 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300) - (-3 + (sqrt(300) - (sqrt(300) - (1 + sqrt(300))))) - sqrt(300)) + -1 + sqrt(480)\/sqrt(10) + (sqrt(24)\/sqrt(8) + -1 - sqrt(3)) + -4.\nAnswer: -6*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 + -16. Let x = 10 + 8. What is the greatest common divisor of w and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y + 13. Let w be f(8). Let a(x) = w*x + 3*x + 5*x - 5*x. List the prime factors of a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -309*y - 30*y + 6780 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + -12. Let z = -3 - r. Let f = -2 + z. Sort f, 5, -2 in decreasing order.\nAnswer: 5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 555\/(-135) + (-8)\/9 - -6. Let w be (2 - 2) + 1\/(-362). Is w < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-88)\/8 - (-34)\/(2380\/4950) - 8\/(-28)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 692380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12\/79? (a) -6.45 (b) -8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 173 + -195 - (4 - 0) - 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 1. Let x = 2 - q. Suppose 2*g + 10 = 5*a, -2*a - 10 = -0*a + 2*g. Solve a + 8 = x*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 142 minutes before 8:28 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-87)\/(-6)*(0 - -2). Let l = 43 - a. Suppose 0 = 3*q + 3*b - 1 + 7, q + l = -4*b. Solve 0*i + 23 = -2*i - 3*n, i - q*n = 6 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1672 divide 158191264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-714)\/(-84))\/((1 + 1)\/(-4)). What is the units digit of 2\/8 - (1615\/4)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 120934 and 1518?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -4*d. Let k(p) = 14*p**3 + 2*p**2 - 17*p - 5. Let u(t) = 5*t**3 + t**2 - 6*t - 2. Let m(l) = 4*k(l) - 11*u(l). Let v be m(3). Does 7 divide s(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 46117532 (base 8) to base 5.\nAnswer: 10030033031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*k + 12*k - 15*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) 56 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -808162*b**2 + 7*b - 839439 wrt b.\nAnswer: -1616324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -64 + (31 - (-8 - 8))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:38 PM and 9:33 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mc when two letters picked without replacement from {b: 3, m: 1, u: 4, r: 2, q: 4, c: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 3*o**2 - o + 4. Let r(z) be the second derivative of -z**4\/12 - z**3\/6 - z. Let u(p) = c(p) + 2*r(p). Let d be (-1 + 0)\/((-1)\/3). What is u(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4143*c - 4143*c - 62*c**2)*(5*c**2 - c**2 - 2*c**2)*(-c - 6*c + 11*c).\nAnswer: -496*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 5*x + 17*x**2 - 12*x**2 - 3*x**2 + 4 as k*x**2 + m + t*x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1177*u - 5569 + 27932 = 0 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -133.52 + 131. Let z = -0.52 - f. Let l = -0.5 + 0.4. Which is the nearest to l? (a) z (b) 2\/17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 1 + 17 = 0. Let l be -6 + 315 + 8 + -9. Suppose -f*u + l = 3*u. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3343369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 0.5, -3 in increasing order.\nAnswer: -3, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 4, -2\/9, 0.7, 10\/3, 38, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 4*p**5\/7 - 164*p**4\/7 + 96*p**3\/7 + 2480*p**2\/7 + 3200*p\/7 = 0. Calculate p.\nAnswer: -2, 0, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.3 + -0.3. Let h(y) = y**2 - 2*y - 4. Let x be h(4). Let n be (-2)\/x - 42\/(-36). Which is the third smallest value? (a) -0.4 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 2728, 5460, 8192, 10924?\n\"Answer: 2732*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.032 - -177.\nAnswer: 177.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in -0.8, -2\/17, -2, -36?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -365*a**2 + 310*a**2 + 0*a + 4*a - 2*a as o*a**2 + u*a + s and give o.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 654 and 9483?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g*g*(g\/(g*g*((g*(g**(2\/7)*g)\/g)\/g)\/g)*g)\/g))**(-17)\/(g**(-2\/5))**(2\/15) assuming g is positive.\nAnswer: g**(6403\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -8 - -14?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/112*36*(-2)\/3*-16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 504355 and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sum 288 and 320913667.\nAnswer: 320913955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2112270716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -18 (b) 0 (c) 0.5 (d) 4 (e) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**2 - 4*l**2 - 4*l**2 + 9*l**2 - 13*l**2.\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-260)\/(-364) + (0 - -1*1). Factor 9\/7*o - i*o**2 + 3\/7.\nAnswer: -3*(o - 1)*(4*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 621, 632, 643, 654?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 2*t. Let s(b) = 162876276*b. Determine s(y(v)).\nAnswer: 325752552*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:59 PM and 7:04 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3285 is divided by 1084?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 153216862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 1 k when two letters picked without replacement from {t: 3, k: 12}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 931, 2164, 3551, 5170, 7099?\n\"Answer: 13*f**3 - f**2 + 1145*f - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*4\/(24\/(-15)). Let q = h + -5. Suppose 0 = r + 2*b - 109, -3*b - b + 20 = q. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3686908829.\nAnswer: 22669, 162641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 2, 12, -4, 1905, 0, 81 in descending order.\nAnswer: 1905, 81, 12, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (3 - (-6 - -7 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 3, f: 2, s: 2, n: 2}. Give prob of sequence sfs.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.3, 5, -1\/5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -1\/5, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*s**2 + 174*s**2 - 98*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 11953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.33 - 2.27. Let h = 1.77475 - -0.825312. Let t = h + o. What is t rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:04 PM and 2:40 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20991, 8669, -3653, -15975, -28297?\nAnswer: -40619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, k: 2, q: 1, o: 9}. Give prob of sequence oo.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 27 - 48 = 0. Solve 5*r = -0 - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.1773 - 1.35. Round n to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the first derivative of 3*g**2\/2 + 6*g + 166. Suppose -9 = -2*j - 5*u, 2*u - 21 = -4*j + 5. Does 3 divide d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p**4 - 250*p**3\/11 - 384*p**2\/11 + 3384*p\/11 + 8640\/11 = 0. What is p?\nAnswer: -6, -3, 40\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 816?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:11 PM and 6:55 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -17881, -35765, -53663, -71581, -89525, -107501?\n\"Answer: -v**3 - v**2 - 17874*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -5*s - 1114 + 11695, 2*s = -10. List the prime factors of d.\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16097*s = 15823*s + 3562 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -1221020210?\nAnswer: -1221020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*-45377.\nAnswer: -272262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert -2003103 (base 6) to base 14.\nAnswer: -26383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -10*b - b + 14*b + 0*b + 79*b**3 in the form g*b + n + p*b**3 + r*b**2 and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-75)\/(-27) + 8\/36. Is 18 a factor of -3 + (73 - (s - 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 129 - ((-153)\/(-54) - (-2)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -64\/929?\nAnswer: -64\/929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 10513 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**2 - 14*g + 16. What is m(-16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.0745 and 207.\nAnswer: 15.4215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -29.98388 - -79?\nAnswer: 49.01612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 138 and 23?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c. Let n(p) = p**2 - 2. Let r(b) = -28*b**2 + 2. Let q(k) = n(k) + r(k). Give q(w(m)).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.042 + 3.258. Let q = -3.6 + v. What is the biggest value in 3\/2, q, -0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4928 (base 13) to base 8.\nAnswer: 24147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (2 + (6 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13682 = 4*n - 3*p, 0 = -23*n + 19*n + p + 13694. Calculate the remainder when n is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.4 - 0.3. Let p = -0.23 + -0.09. Let l = p + 0.02. What is the nearest to d in l, 0.1, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -46, -64, -98, -154, -238?\n\"Answer: -d**3 - 2*d**2 - 5*d - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*t + 50 = -33*t. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0)*((-3 + 1 + 0)*(-2 - f + 2) + 0*f + 2*f + 3*f + (12 - f - 12)*(-3 + 0 + 2) + 1 - 1 + f + (4*f - 5*f + 3*f)*(3 - 2 - 2)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 + 6*o**2 + o + 7. Let f(c) = -c**3 - 10*c**2 - 9*c + 6. Let p be f(-9). What is the remainder when 23 is divided by k(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (59 - 46) + -3 - -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 > 3456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmummum?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1930114 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1587*s**3 - 3*s**2 - 2?\nAnswer: -9522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20340684.\nAnswer: 2, 3, 7, 13, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 2*k**3 - 85*k**2 - 42*k - 38. Give w(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -5*a**2 + 2. Let f(z) = -3*z**2 - 25*z - 6. Let d be f(-8). Let c(l) = 17*l**2 - 29*l**d + 4*l**2 + 12*l**2. Determine c(m(b)).\nAnswer: 100*b**4 - 80*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**2 - 6*l + 9. Let h be t(-7). Let c be h\/(-8) + 13\/4. Solve -c*f = -2*f - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -127*n**2 - 110*n**2 + 239*n**2. Let h(y) = -103*y + 7. Give h(k(j)).\nAnswer: -206*j**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 40 (b) 1\/4 (c) 122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by -176953828\nAnswer: 1\/44238457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 10*s - 8*s. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 2*f**2 + f + 3. Let p be q(-3). Suppose -y - y = -3*u - p, 2*u = -2*y + 8. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/(-24) + 24\/9. Let w be ((-4)\/(-14))\/(j\/21 + 0). Suppose w*d - 6*d = -1172. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*x**2 + 4*x**2 - 49864540874 + 49864540874 - 2*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25 - 38 - (-20 - -18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zjvvvzzdvjzqzj. Give prob of picking 2 j, 1 z, and 1 d.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 5, h: 3}. What is prob of picking 3 k?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*h + 12*f - 16*f + 16, 5*h + 5*f + 30 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -315 * -455\nAnswer: 143325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*o**4 - 2486*o**3 - 53*o.\nAnswer: -36*o**2 - 14916*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 13\/9 of a day?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 132*s - 72*s = 78*s - 1080. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6 - -1) + 10\/2. Suppose -24*l + 30 - 6 = g. Solve -2*b + 9 = -3*f, -4*f - l = -2*b + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31476 equal to 31474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -138*k = 133*k + 157*k + 8132 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*x**2 + 27*x - 44*x + 2 + 2*x**2 + 28*x to k*x + f + p*x**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 97 a factor of 239722017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*z = 32*z - 12. Suppose 61 = -z*j + 411. What are the prime factors of j?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in 133, 6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 7*d - 1. Let k be v(7). Suppose 0 = -3*a - 0*a + k. Suppose -2*r + a = 2. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4)\/(-10) - 6\/15. Suppose -3*n + 258 = -b*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 187, 236, 295, 370, 467?\n\"Answer: i**3 - i**2 + 45*i + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*q - 5*q**2 + 3*q**2 - q**2.\nAnswer: -3*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together 219 and -15.48652443401.\nAnswer: 203.51347556599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.2 - -0.8. Let r = 196735\/3 + -65578. What is the third smallest value in y, r, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27 times 0.0958?\nAnswer: -2.5866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 687, 566, 345, 24, -397, -918, -1539?\nAnswer: -2260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5 and -0.07.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n**2 + 4*n**3 - 5*n + 5*n + 4*n**2 + n. Let j(r) be the second derivative of -11*r**5\/20 - 17*r**4\/12 - r**3\/2 + 10*r. Give -17*a(t) - 6*j(t).\nAnswer: -2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + 7. Let j(w) = w**3 - 47*w**2 + 50*w - 146. Let h be j(46). What is the greatest common factor of h and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 616754 and 678.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 660 is divided by 203?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -2\/7, -0.01, 1\/7, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 + 12 = 36*b. Let h(p) be the first derivative of -2 + 0*p**4 + b*p + 14\/5*p**5 + 2\/3*p**3 + 0*p**2. What is the third derivative of h(i) wrt i?\nAnswer: 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -169 - -169.3. What is the closest to 0.1 in x, 0.01, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m + 24. What is the remainder when i(13) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-10)\/(-4))\/((-5)\/(-70)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 3*o. Let d be n(1). Let p = -3 - 1. Let w be (2 - -2)*(-6)\/p. Solve -d*z = -5*j - 4*z - 2, 3*j + 3*z - w = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19.28 - -19.172. Which is the nearest to -1? (a) -4 (b) -3 (c) -1\/4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 180\/(-48) + 1\/(-4). Let u be (6\/c)\/(33\/(-286)). Suppose 0 = 4*z - u + 5. Solve 8 = -z*x + 2*f, -4*x - f = x - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -75 - -78. What is the remainder when a is divided by 4\/(-2) + 3 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00589 to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010101000111100 + 1001101001100?\nAnswer: 1011110110001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y - 33*p = -33 + 192, -2*p - 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be 155925\/33858 + ((-54)\/(-4))\/(-3). Let t = 88\/5 - 17. What is the biggest value in u, 0.5, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 101\/13182 and 43\/27.\nAnswer: 118638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -m**3*u**2 + 2819076*m**3*u - 70*m**2*u**2 - 2*m*u**2 - 434*u**2 - 3*u wrt u?\nAnswer: -2*m**3 - 140*m**2 - 4*m - 868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 59035162 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-2 + sqrt(175) + sqrt(175)) + ((sqrt(175) - (2 + sqrt(175)))*5)**2)*1*6.\nAnswer: 528 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 660, 1988, 3978, 6642, 9992, 14040?\n\"Answer: 2*j**3 + 319*j**2 + 357*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (1 + (sqrt(17) + 0)*3 + 4*(0 + (sqrt(17) - (sqrt(153) + sqrt(17)))))**2.\nAnswer: -18*sqrt(17) + 1383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9789432.\nAnswer: 2, 3, 407893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 130 - 130.08. Which is the closest to y? (a) -2 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 13\/((-26)\/8) + 1 + 1. Suppose -q = -2*q - 4. Let r be (-36)\/(-15)*(-1)\/q. Which is the nearest to 0? (a) -1 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 391175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**2 + u. Let z be g(-1). What is the third derivative of 2*k**2 + 0 + 0 + 2*k**5 + z*k**2 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000064652 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 6*h. Suppose -3*y = -1 + 4. Let d be t(y). Let q = 11 + d. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -21992.9 and 0.5176.\nAnswer: -21992.3824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 198 and 3294852.\nAnswer: 9884556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0.47 * 9913\nAnswer: 4659.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -81*b**3 + b**2 - b + 1. Let v = -47 - -48. Let l be c(v). Let f = l + 97. What is the remainder when 49 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 221 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-10)\/(-4)*(-40)\/(-25). Suppose a*s = -s + 165. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the first derivative of -2*u**3\/27 - 61*u**2\/18 + 55*u\/3 - 2258. Factor a(r).\nAnswer: -(r + 33)*(2*r - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 2*t = 193, -7*v - 2*t - 41 = -6*v. Which is bigger: -4 or v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -2 - (10 + -15 + 9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(343) + -1 - sqrt(343)) + (sqrt(77) + sqrt(77)*5)\/sqrt(11))**2.\nAnswer: -12*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1339814, 2679633, 4019454, 5359277, 6699102?\n\"Answer: b**2 + 1339816*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 224690774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-2\/7)*d\/d**3)\/(d**0*d*d*d*d\/(d**(-2\/7)\/d*d))*(d\/(d**(-1\/3)*d)*d*d)\/(d**(1\/11)*d)*(d**(1\/2)\/d)**(10\/7) assuming d is positive.\nAnswer: d**(-1396\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -17 - -19. Suppose -4*s - 4 = -w*s. Sort s, -3, -4.\nAnswer: -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -33 and -8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, s: 2, c: 2, a: 3, w: 1, j: 3}. What is prob of picking 1 c, 1 a, and 2 s?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 9239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -5*v**3 - 50*v**2 - 70*v + 130. Let m(z) = -z**2 + 2. Let b(s) = -k(s) + 5*m(s). Factor b(r).\nAnswer: 5*(r - 1)*(r + 4)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h**3 + h**3 - 2*h**3)*(118*h**2 + 3076*h - 3076*h).\nAnswer: -118*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 + 0 + 7*w**2 + 2 + 2*w - 4 + 2*w**3 to g + u*w**2 + h*w**3 + j*w and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose f**3\/4 + 35*f**2\/4 - 947*f\/2 + 910 = 0. Calculate f.\nAnswer: -65, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 15389, 15383, 15363, 15323, 15257, 15159?\n\"Answer: -l**3 - l**2 + 4*l + 15387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (28*b**2 - 19*b**2 + 4*b - 3*b)*(-b**2 + 3*b**2 + 0*b**2)*(7 - 7 - 4*b) + 3*b**5 - 2*b**5 - 2*b**5.\nAnswer: -73*b**5 - 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -3*w**2 - 165*w - 468 = 0.\nAnswer: -52, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 20198711*s**4 + 71968780 wrt s?\nAnswer: 80794844*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2d06300 + -8?\nAnswer: 2d062d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.9, -3, 0.42 in ascending order.\nAnswer: -3, -1.9, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 2*z + 3, -2*z = -4*d + 2 + 10. Suppose -3*l = d*l - 1722. List the prime factors of l.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -188, -167, -124, -53, 52, 197, 388, 631?\nAnswer: 932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 512*v + 557. Is u(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 615660 and 1108188.\nAnswer: 5540940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -16573*h + 30. Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13164221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21208 and 38410339.\nAnswer: 2651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 122 = -6*f + 152 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 200840.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1110110021112 + -10002?\nAnswer: -1110110101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -2*x + 3. Let t be y(2). Let z = -3.15 - -0.15. Let h = 7 + z. Which is the second biggest value? (a) 1\/5 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 121222972 is divided by 13469218.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -362*d = -203*d - 179*d - 104*d + 6200 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -36619\/102 or -360?\nAnswer: -36619\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5565 - -5569. Solve -4*v - 12 = 2*l, h*l + 3 = 8*l - v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*m**2\/5 + 225651*m\/5 + 75216\/5.\nAnswer: 3*(m + 25072)*(3*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 9 = -3*m - b, -4 = m + 2*b. Solve 7*l - 20 = 5*y + 2*l, -m*y = -5*l + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + d = 810. Let f = 313 + d. Let b = f + -79. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 3*i**2 - 3*i. Let z be 10\/2 + 2\/(-2). Suppose 0 = -3*h - 12, 5*h + 0*h + 12 = -z*c. Calculate k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2690 and 1076.\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6295 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -21*p**2 - p - 4. Let m(d) = -2*d - 34. Let s be m(-21). Let h be a(s). List the prime factors of (-4)\/3 + h*(-18)\/81.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*d**2 - 101*d**2 - 12*d**2 - 2*d**2.\nAnswer: -132*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeqqfeeefee. Give prob of sequence qq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*u - 7*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be -2*4\/(-6)*12. Let k(u) = 2*u - 1 - 1 + u - 2. Is k(g) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -5, -6, -4, -2, -2075, 3 in descending order.\nAnswer: 3, -2, -3, -4, -5, -6, -2075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = -0*r - 4*g + 15, 0 = -r - g + 12. Calculate the lowest common multiple of 11 and r + 24\/(-8) + 5.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -19*g + 4*g - g**3 + 7 - 138*g**2 + 73*g**2 + 73*g**2 - 2. Calculate z(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k + 4*o - 2554, -161*k + 1536 = -158*k + 3*o. What is the greatest common factor of 88 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*q - 650 = -424 + 237 + 657 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 5*q = 2*g + 153, 3*g + 4*q - 76 = 0. Suppose -4*y - 26 = -4*f - 6, 2*y + f - 2 = 0. Let r = g - y. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.1 - 0.3. Let x = 4 - 7. Which is the nearest to m? (a) 4 (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 14) to base 10\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 2*m + 21952 - 53642, 39611 = 5*r + 2*m. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -36676195.72 to the nearest 1000.\nAnswer: -36676000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in 2.1, -1\/3, -4, 8\/343?\nAnswer: 8\/343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 994 - 997. Let s be -1 + 2 + -15 + 0. Let f be 10\/s + (-4 - -5). Sort -1, f, b.\nAnswer: b, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 646609079?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 75 times -0.413?\nAnswer: -30.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 89\/(3827\/774) + 21\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 + 2*k + 6. Let g be r(3). Suppose -g*s - 12 = -3. Let z = 0.12 + -0.62. What is the biggest value in s, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/12 - (-22)\/(-6) - -671. Let z = 773 - m. What is the remainder when z is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 255665 is divided by 63904.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 - 12*s - 9. Let i be g(-11). Is -19*((i - 3) + 0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2610 - -1768.6. Let a = g - -840. What is the closest to 3 in -4, a, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 87609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 102 a factor of 353514662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 392534469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 3\/361?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-44)\/(-6) + (-1020)\/(-612).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + 143051?\nAnswer: 143054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in 34.97697 minutes?\nAnswer: 0.0242895625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/50*3 - 4\/(-2).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -645 + 3368. Is -1 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -143 + -3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -66*n**4 - n**2 + 6*n wrt n.\nAnswer: -1584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6985100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 949962?\nAnswer: 2, 3, 13, 19, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*g - g + 15*g - 63 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 69742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9\/(3 + 0)*1. Suppose o*h - 2 = 7. Suppose 0 = 3*v - 0*p - 2*p - 50, h*p = 3*v - 48. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 166043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 AM and 5:59 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/163 in 8, -6, 0.1, -2\/9, 38?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -12*y + 2. Let u(p) = 25*p - 9. Let w(r) = -2*b(r) - u(r). Let c(k) be the second derivative of k**4\/6 + k. What is w(c(d))?\nAnswer: -2*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 476882 and 1481?\nAnswer: 476882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = 1129*z + 9232. What is n(-8)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and 750\/1637 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00012267 to six dps.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 30\/13 in 453, 0.4, 117?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.4 (b) 112 (c) 8 (d) 0.01 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20 - -41 - 10)\/((-2 + 1)*1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 482 at most 482?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*k*u**3 + k*u**2 - 2084*k + 4*u**5 + 2*u**3 + 2*u**2 wrt u.\nAnswer: 54*k + 240*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21035 divided by 739.\nAnswer: -21035\/739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 675039789?\nAnswer: 3, 3253, 23057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*k + 3*k - k)*(25 - 11 + 32) to u + w*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**2 - 3*x**2 - 3*x**2)*((3 + 0 - 6)*(-31 + 15 - 3)*(0 - 1 + 2)*(0 + 0 - 1) + 3 + 1 - 2).\nAnswer: 275*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 3, l: 11, x: 1}. What is prob of picking 3 l and 1 x?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -4d4 (base 16) to base 5\nAnswer: -14421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -14 + 23. Let r = v + -6. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dmzzdzzddm. Give prob of picking 1 d, 1 z, and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes before 1:41 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be (626 - 0)\/((-3)\/29028). Suppose -3*r + 27303489 + 4968039 = 0. Let a = r + l. What is a rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*o - 144*o - 155*o = -54*o - 11780 for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*f**6 + 402*f**4 - 799*f**3 - 34*f**2 + 210*f + 23 wrt f?\nAnswer: -480*f**3 + 9648*f - 4794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -19, -17, -13, -7, 1?\n\"Answer: n**2 - n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -26 - -20 - (2 + (-539)\/63).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 7*r - 11205 = -5*m, -4*r + 11195 = -5*m. Suppose -r = -16*o + 6*o. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-42 + 39 - (-6 - -1)) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*y**3 - 3*y**3 - 3*y**3)*(87 - 6 + 85) + 2*y**2 - 2*y**2 - y**3 + (-y**2 + y**2 + y**3)*(-2 + 1 - 1) - y**3 - 3*y + 3*y.\nAnswer: -2992*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.221515ug to kilograms.\nAnswer: 0.000000003221515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 108 + -62 + (10 - 22)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -7451683600 to the nearest 1000000.\nAnswer: -7452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1 + -0.4. Let d = -0.07 + -0.23. Let k = -4685 - -4685.1. Which is the third smallest value? (a) d (b) k (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 34 = 194. Let t = j + 43. Is t*(-6)\/(-99) - (-21420)\/44 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.1818 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 3*k**2\/4 + 96*k + 2541\/4 = 0.\nAnswer: -121, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-52 - 2) + (130 - 109) - 35\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -366 and -8168.\nAnswer: 2989488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5158235 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -202 - -215. Suppose 52 = 2*a + 2*a. Is n != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6535048*n**3*q**2 + 2*n**3*q + 4845*n**3 + 2*n**2 - 3*n*q + n - q**3 wrt q.\nAnswer: 13070096*n**3 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c - 1 + 1 + (-5*c + 2*c + 4*c)*(68 + 180 + 50))*(-2*c**4 + 0*c**4 + 4*c**4).\nAnswer: 592*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 20.215818 nanoseconds?\nAnswer: 0.000000000005615505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*j - 6*j**5 + 1958*j**3 - 1958*j**3 + j**5 + 0*j**5 + j**5 + (-j**5 + j - j)*(-3 + 2 + 3) + 0*j**2 + 0*j**2 - 2*j**5.\nAnswer: -8*j**5 - 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = -5*z + 15 - 70, 0 = -4*z + 5*g - 8. Let r = -4 - z. Let w(m) = m**2 - 144*m - 895. Let x be w(-6). What is the nearest to 1\/4 in r, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -65080 divided by -3164?\nAnswer: 16270\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -704, -1492, -2284, -3080?\n\"Answer: -2*v**2 - 782*v + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 195\/1040*4\/120*8?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:29 PM and 4:53 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 814, 71, -19 in increasing order.\nAnswer: -19, 71, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 3*q**2 - 5*q - 5. Suppose -3*i + 14 = 5*g, 0 = -3*i + 7*i - g - 11. Calculate the remainder when 60 is divided by o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 16877430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.6 - -4.549. Let k = b - -2.351. Round k to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((g*g**3\/g)\/(g*g**(-2)))\/(g*(g**(-2\/9)\/g)\/g)**20)**(-5\/3))**(3\/20) assuming g is positive.\nAnswer: g**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 5566.0477 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (15\/6)\/(3\/6). Let j(f) be the second derivative of 0 + 3*f**2 - 5\/8*f**4 - 4*f + 1\/20*f**6 + 1\/28*f**7 - 3\/8*f**d + f**3. What is g in j(g) = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.234 + -3.254. Which is the closest to -1\/3? (a) j (b) -15 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:34 AM and 5:18 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*o + 577 = -84*o + 2257 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2 or 4085\/1282?\nAnswer: 4085\/1282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 85 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 58 = 26*i - 195*i - 1632 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxdxxxdxd. What is prob of picking 1 d and 1 x?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 14*q**3 + q**2 - q - 1. Let w be s(-1). Let h = -7 - w. Suppose 4*z = -3*r - 4, -6*z + 2*r = -z - 18. Solve 3*f - 2*j = 7, -z*f + 5*j - 4 = h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 182? (a) -18 (b) 10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 - (-4 + 3 + -89 + 91)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 4, 169, 3 in decreasing order.\nAnswer: 169, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + 24\/((-4)\/(-2)). Suppose 0 = -5*t - l + 23, -6*t + 10*t = 3*l + 7. Suppose 0 = -2*p - 5*o - 6, -2*o + t = 5*p + o. Solve z = -p*z - g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*(-7)\/(56\/(-36)). Solve 15*v = p*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2052 a factor of 121308827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 848030 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 787, 3273, 7459, 13345, 20931, 30217?\n\"Answer: 850*s**2 - 64*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*z + 273 + 67 = 5*r, 16*z = 14*z + r - 20 - 4 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + 4*(-2 - -1). Suppose 5*k - 7*s + 3*s + 6 = 0, j = 4*s - 16. Let x(a) = a**3 - 2*a**2 - 2. Calculate x(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 789130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81226 is divided by 13528.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 + 11*c**2 - 11*c + 15. Suppose -2*w - w - 36 = 0. Does 2 divide i(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29, -112, -251, -446, -697, -1004, -1367?\nAnswer: -1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 609*l - 78 + 112 - 34. Let n(g) = g**2. What is n(c(r))?\nAnswer: 370881*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-25)*7\/((-189)\/(-15))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/13, -0.1, 0, -1, -2\/21, -372?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 + i**2 + i - 3. Suppose 12*k = 7*k. What is b(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12 in -0.2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -3*d**2 - 3*d - 9. Let y(g) = 3*g**2 + 3*g + 8. Let c(r) = -6*v(r) - 5*y(r). Let t be c(-7). Calculate the greatest common factor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**4\/23 - 23252*d**3\/23 + 67581938*d**2\/23.\nAnswer: 2*d**2*(d - 5813)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -9*b. Suppose b*d + 2*d - 5*r = 0, 3*d = r. Let f(u) = -u**3 - 14*u**2 - 22*u + 23. Let a be f(-12). Sort a, d, -8.\nAnswer: -8, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -2*h - 4*u, 16 = -2*u - 2*u. Let l be (1\/(-12))\/((-45)\/72). Sort l, -2, h.\nAnswer: h, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 + 0)\/2*2. Let u be 10\/(1\/3 + 0) + 3. Let q be (1\/u*3)\/v. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 7) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2\/22 + 402*18\/(-1188) + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -6 - (22 - (-17 + 34)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -83*b + 415. Let i be m(5). Does 44\/221 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -220*b. Let o(q) = 2*q. Calculate o(k(p)).\nAnswer: -440*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 194 minutes before 6:54 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 201?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -27573 + 84165. Does 72 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2c - 1a3?\nAnswer: -1d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a meter in centimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-1 + sqrt(1700)*2 - (sqrt(119) - -5*-1*sqrt(119))\/sqrt(7))*-4 + -3)**2.\nAnswer: -192*sqrt(17) + 156673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 71\/49608 and -67\/128154.\nAnswer: 1537848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 2673*o + 23229. Calculate z(-9).\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 2 - 1 + 0*q**3 - 7*q**2 - q**3. What is the common denominator of (10\/4 + -2)*4636\/(-380) and v(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -2*x**3 + 11*x**2 - 7*x - 10. Let m be n(-4). What is the highest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/19 (b) 2 (c) 63 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 222*a - 134*a + 2701*a**5 + 243*a**2 - 86*a wrt a.\nAnswer: 162060*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -3*60\/(-9) - 3\/(-1). Let v = 52 - k. Is v a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 658168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c = 3*o + 10, 5*c + 0 = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 102543 and 249033?\nAnswer: 1743231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 8890 = -2*g + 2*u, -2*u = -2*g + 8902. Let k be (-2)\/16 + g\/(-72). Is k not equal to -61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-4 + (1*sqrt(99) - sqrt(99))\/sqrt(9)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 9698.427 litres to millilitres.\nAnswer: 9698427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2, -269, -2\/3, 2\/3, 5, 214?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 33 and 57541.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -231 + 0 = -33*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r**2\/2 + 50275716*r - 421274603218776 = 0. What is r?\nAnswer: 16758572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 27699.8 times -4.3\nAnswer: -119109.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -46573710.\nAnswer: 1\/15524570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -3*s - 2*s + 1 + 24*s. Suppose -3*q + 12 = -0*q. Is p(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 3, h: 5, t: 3}. Give prob of picking 1 t, 1 h, and 1 a.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -16*i - 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) be the third derivative of -1\/504*k**8 + 7\/90*k**5 - 1\/6*k**4 - 2*k**2 + 0*k + 44 - 1\/105*k**7 + 1\/60*k**6 + 0*k**3. Solve z(y) = 0 for y.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express c**3 - 7 - 3*c**2 + 4*c**2 - 3*c**2 + 4 as d*c**2 + w*c**3 + h*c + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**2 - 6*j + 4. Let a(m) = 13*m**2 - 6*m - 11*m - 17*m**2 + 11 + 6*m**2. Let s(w) = -4*a(w) + 11*h(w). Let d(f) = -f. What is s(d(z))?\nAnswer: 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -208*u. Let m(y) = -16*y. Let p(h) = 40*m(h) - 3*x(h). Let j(b) = 2*b**2. What is j(p(c))?\nAnswer: 512*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.6987 - 14974579.\nAnswer: -14974577.3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 14 = -0*x - 3*o, 0 = -4*x - 2*o. Let s = -0.04 + -0.26. Which is the smallest value? (a) x (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -b6c160 + -d?\nAnswer: -b6c16d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19 - -12. Let q = y + 22. Suppose 4*l - 14 = 2*o, o - 3*o + 5*l - q = 0. Which is the nearest to 1? (a) 0.2 (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -23\/600 and 77\/600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the second derivative of -v**5\/20 - v**4\/2 + 6*v**3 - v**2 + 63*v. Let k(n) be the first derivative of l(n). Factor k(y).\nAnswer: -3*(y - 2)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 13 + -10 + (-2 + 5)*(-20)\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = 2*r - 4*n, 0 = -82*n + 79*n + 15 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(132)\/sqrt(4)*6)\/(sqrt(33)\/(sqrt(3)*-1)) - (sqrt(81)\/sqrt(3)*-2)\/(sqrt(81)*1 - sqrt(9)))*-3)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 221 - 100 - 121 - 4*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 + 0. Let m = 0.5 - 0.8. Let t = 12.4 - 14.4. What is the second smallest value in t, m, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19 - -22. Suppose 0 = 2*v - 4*x - 48, -3*v + n*x + 2*x = -74. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 47004448 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r + 10. Let w be y(8). Let l(k) = w*k - 2*k**2 - 2*k + k + 3*k**3. What is l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -2. Suppose x - 4*w + 17 = -9*w, -2*w = 5*x - 7. Find the common denominator of 107\/2*1\/x and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -3*f + 0 - 8 + 8. Let d(g) = -21*g**2. Determine j(d(l)).\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -6 greater than -3795792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 260 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -88 - -60.1. Let x = -147 + 175. Let f = m + x. What is the third smallest value in f, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes after 5:01 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 387, 647, 1047, 1587, 2267?\n\"Answer: 70*l**2 + 50*l + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 21*b + 28. What is the hundreds digit of r(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 2)*(2 + 2*a - 2) + (0*a - a + 2*a)*(1 + 2 - 2) + 1 - 1 - 2*a - 244 - 5*a - 4*a + 240.\nAnswer: -8*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, 43465, 0.5, 0.17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 4*k + 79 = -113, 5*k + 89 = 2*r. Suppose 0 = -r*c + 44*c + 12. Find the third derivative of -4*l**4 - 2*l**c - 5*l**2 + 4*l**4 + l**4 wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - 5) + (8 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find k such that k**5\/3 - 9*k**4 - 178*k**3 + 14618*k**2\/3 + 1575*k - 43125 = 0.\nAnswer: -23, -3, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 3*c**5\/7 - 54*c**4\/7 + 108*c**3\/7 + 390*c**2\/7 + 225*c\/7 = 0.\nAnswer: -1, 0, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42 - 4 - 21 - 2*m**2 - 17.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.023 + -0.025. Round b to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-7 - -7) + (104 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 - 4*a**2 - 13*a - 12. Determine o(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 3999 by -78.\nAnswer: -1333\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 2951155 take away -163?\nAnswer: 2951318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) -1\/3 (c) 15.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cc when two letters picked without replacement from rcrrrrcrrrr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 4 = -5*b, 16 + 8 = 5*t - b. Suppose -2*m = -3*u + 10, 2*u - 20 = u + t*m. Suppose 7*j - 3*j - 8 = u. Solve r + 6 = -j*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1995, 4121, 6375, 8757, 11267, 13905, 16671?\nAnswer: 19565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10000 + -11000001110011?\nAnswer: -11000001100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -286 or -285?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -667*d + 672*d = 45 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from ruruucuuvvvurrucr?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 - 1 + 1118*l**2 + 1391*l**2 - 766*l**2.\nAnswer: 1743*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (m**2 - 2*m**2 - 5 - m**2)*(0*m**2 + 0*m**2 - m**2) to a*m**2 + b + q*m**4 + v*m + i*m**3 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2\/3 - 101714*o\/9 - 45208\/3.\nAnswer: (o - 33906)*(3*o + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 99735, 99744, 99767, 99810, 99879?\nAnswer: 99980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 23*l - 10 - 6*l - 39. Let j be t(3). Solve 0 = s + 3, 3*m + m - 6 = j*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 - -5. Let z = -9.4 + q. Let p = 2 + -1. Sort 0.4, p, z in increasing order.\nAnswer: z, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (2768\/(-20))\/((-10)\/375).\nAnswer: 2, 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1320.12850912826 + -1.\nAnswer: 1319.12850912826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the third derivative of 1\/70*q**7 - q**2 - 2\/3*q**3 + 0*q + 0*q**5 + 0*q**4 + 0 + 0*q**6. What is the derivative of p(y) wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 822479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*k = -188 - 1 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -245015.12 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p be 12*2\/216 - ((-111)\/(-27) - 4). Solve p = -0*i - 4*i - 4*r + 12, -2*i = -r - 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 3*r**3 + 3654*r**2 + 25407*r - 29064 = 0.\nAnswer: -1211, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -294\/1349 - -8\/71. What is the closest to 0.1 in 1\/4, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*y**3 + 57594*y**2 + 293151348*y + 158072537880 = 0. Calculate y.\nAnswer: -9294, -610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 - 5 - 5 - 5 - 7*l**2 - 4*l + 23*l**2. Suppose -11*f + 24 - 200 = 0. List the prime factors of u(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**3\/3 - 108*v**2 - 4150*v + 55112\/3.\nAnswer: -2*(v - 4)*(v + 83)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 206 + 74. Suppose 3*g - p = 800. Is 45 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the second derivative of -4*t**3\/3 + t**2\/2 + 2*t. Let p(m) = m**3 - m**2 + m + 2. Let y be p(0). Let b be (-4 + (-9)\/(-2))*y. Calculate x(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*z + 2*z - 8*z + (2 - 4 + 1)*(3 - 2*z - 3) as f + q*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c = -6, 130*b - 69*b + 57*c = 66*b - 161 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3646 + -3645.7. What is the biggest value in -214\/5, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -202, -210, -204, -178, -126?\n\"Answer: z**3 + z**2 - 18*z - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 32288, 32333, 32378, 32423, 32468, 32513?\nAnswer: 32558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = c. Let b = -132 + 136. Let -46\/3*z**b + 14\/3*z**5 - 26\/3*z**2 + 18*z**3 + 4\/3*z + c = 0. Calculate z.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 4\/7 (b) 162 (c) 36.34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -2*r**5 + 6*r**4 - 8*r**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 140\/385 + 159\/198?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1621\/2 - -11247\/14. Is i smaller than -2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30 - -51) + 7 + -6 + -18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 3*r - 25, 4*r - 10 = 5*j - 3*j. Let v = -3 - r. What is the least common multiple of 2\/(-6)*(v - 0) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 + d**2 - d - 1. Let t be 12\/4 + (-7 - (1 + -6)). Let f(s) = 14*s**3 - 2*s**2 + 2*s + 2. What is t*f(b) + 2*j(b)?\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -27\/2, -7\/5, 1, -4835 in ascending order.\nAnswer: -4835, -27\/2, -7\/5, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 5*f - 4*h - 47, 0 = 2*f + 5*h - 35. Suppose 0 = -4*i + 8, -2*i = -y - 5*i + f. Let v(k) = -2*k**2 + k - y*k**3 - 5*k**3 + 2*k**2. Give v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q - 1. Let o be n(2). Let u be -2 + (-2 - -3) - o. Let f(w) = 3*w - 4. Let z be f(u). Solve 0 = -5*j + 2*s, -z*s = j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6841 + 6847. Calculate the greatest common factor of 1020 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d. Let w(t) be the second derivative of -t**4\/12 + 5*t**2\/2 + 15*t. Let p(k) = 2*i(k) + w(k). What is p(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -5 + 13. Suppose 4*z + t = 2*z. Let p(f) = -43 + 87 - 45 - 4*f - f**2. Give p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -358, -713, -1068, -1423?\n\"Answer: -355*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2719542851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/2346 and 32\/303195?\nAnswer: 13946970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -708 - -411. Let h = 292 + w. Which is the nearest to 0.1? (a) 0.2 (b) h (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2425?\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 27877669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -4*g**3 + 5*g**2 + 8*g - 3. Determine l(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -39 + (23 - 32 - (17 - 36 - -16))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2001012012011 (base 3) to base 14\nAnswer: 203c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2240 and 7490?\nAnswer: 239680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the third derivative of -c**7\/35 - c**4\/24 - c**2. Find the second derivative of f(p) wrt p.\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97849606 a multiple of 1838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7.74 - 8.14. Let y(j) = -j**3 + j**2 + 3*j - 2. Let c be y(2). What is the closest to 0 in -1, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-886)\/20 - (-35288)\/802\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 8*c*x*z + 3*c*z**2 + 42*x*z**2 - 29*x - 3445*z**2 wrt x?\nAnswer: 8*c*z + 42*z**2 - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*i + 8*i = -5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 125952902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -13\/8, 4, -5, -1, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/((-210)\/(-80335)) + 16\/12. Let u = h + -23864\/35. Are 85 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 4 = 2*d. Let y be 4\/1 + (d - 2). Suppose -y = -2*a + 26. What is the highest common factor of a and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10*(-28)\/16240*-58)\/((-4)\/(-78))\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 286, 288, 290, 292?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/395011592 and -47\/28?\nAnswer: 2765081144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -102421 - -0.1\nAnswer: -102420.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -98, 1, -6 in descending order.\nAnswer: 1, -6, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**3 - 9*k**2 - k + 51. What is h(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -41\/170 and -13?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -564*k + 364*k + 192*k - 525 to p*k + d and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -o = -3, -4*o = 4*v + o - 31 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 461*r - 223*r - 58*r = 3060 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - 17. Let t = r + 28. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 101977 (base 10) to base 11\nAnswer: 6a687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 102 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -118, -526, -1212, -2182, -3442, -4998, -6856?\n\"Answer: -u**3 - 133*u**2 - 2*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 2704*j - 404. Determine i(1).\nAnswer: 2300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(252) - (1 + sqrt(252))))**2*6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2380 - -1249. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 251*b**3 + 244*b**3 + 248*b**3 + b + 247*b**3 - b - 988*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 5*j + 6*j = 39, 2*j = 4*k - 168. What is the remainder when 327 is divided by k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2358731*n - 2808163 wrt n?\nAnswer: 2358731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*u + 3*u**3 - 3*u + (-2*u**2 - 4*u**2 + 5*u**2)*(-16*u + 23*u - 12*u) + 5 - 3*u**3 - 5 + 3*u**3 - 4*u**3 - u**3 + (0*u**2 + u**2 + u**2)*(0*u - u - u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 4 + 16 = 0. Let h(c) = -2*c**3 - 19*c**2 - 8*c + 26. Let r be h(-9). Suppose r - 287 = -u*l. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 15) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -8*z**3 + 3*z**2 + 4*z + 4. Suppose -5*a + 0*u - 2*u = 10, u - 8 = 4*a. What is the tens digit of m(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 42\/17 and -97\/15338.\nAnswer: 260746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be -5*(315\/150)\/((-3)\/2). Solve -4*w = k*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 2*v**4\/11 - 1268*v**3 - 181552*v**2\/11 - 768420*v\/11 - 1048050\/11 = 0.\nAnswer: -5, -3, 6987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t**4 - 3*t**4 - 2*t**4)*(t + t - 4*t) + (3*t - 3*t - t)*(2*t**4 - 5*t**4 + 4*t**4) + 4*t - 4*t - t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 11:51 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 2*w**2 - 35*w - 8. Let t(m) = 2*m**2 - 34*m - 7. What is -6*s(d) + 7*t(d)?\nAnswer: 2*d**2 - 28*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t = 4, 3*t - 64 = -w - 2*t. Calculate the greatest common factor of w and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -31752208, -31752200, -31752192, -31752184, -31752176, -31752168?\n\"Answer: 8*k - 31752216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kuouuuoo. Give prob of picking 3 o and 1 k.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -7568051*v + 50487 wrt v.\nAnswer: -7568051","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 234699 is divided by 78203?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 6\/29, -0.3, 1\/3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -242923*m**4 + 8*m - 15918246 with respect to m.\nAnswer: -971692*m**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1126343.99 + 4?\nAnswer: 1126347.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 224469, 224754, 225231, 225900, 226761, 227814, 229059?\nAnswer: 230496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**3 + 2*c**2 + 77*c + 30. Is 66 a factor of x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -51*o**3 - 6*o + 23*o**3 + 20*o**3 to v + m*o**2 + g*o**3 + p*o and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.9 + -7.9. Let k be (-3 - 52\/(-16))\/1. Let x = -3.753 + -0.247. Which is the biggest value? (a) k (b) r (c) -3 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -95\/7924 and 65\/252.\nAnswer: 71316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3015, -3043, -3069, -3093, -3115, -3135?\n\"Answer: m**2 - 31*m - 2985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 519074, 518748, 518422, 518096, 517770, 517444?\nAnswer: 517118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -7584 - -5?\nAnswer: -757b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9226, -9027, -8696, -8233, -7638, -6911, -6052?\nAnswer: -5061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 82 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of 0 - 2*a**2 - 2\/3*a**3 + 0*a + 1\/12*a**4. What is the units digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -29.974 - 0.026. Let z = 30.000002 + o. Round z to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 times 51286\nAnswer: 256430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nllnlnllnlnn. Give prob of sequence lln.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -2 + 85 + -87?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 8\/(-6) - 1548\/(-108). Let p(x) = x**3 - 15*x**2 + 26*x + 22. Calculate the least common multiple of 486 and p(w).\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4085 and 1935.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((3\/270)\/((-96)\/120))\/((-18)\/48).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -2*d**2 + 139*d. Let a(v) = -v**2 + 69*v. What is -5*a(x) + 3*p(x)?\nAnswer: -x**2 + 72*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**2 - 23*d - 48. Let a be z(25). Solve -4*c + a = 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 275493529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**5\/(w*w*(w**3\/w)\/w*w))**10 assuming w is positive.\nAnswer: w**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**2*a**(2\/7)\/a*a**(-3)\/(a**2*a) assuming a is positive.\nAnswer: a**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7665 and 292?\nAnswer: 30660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12867 divided by 4289.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 746324 and 1.\nAnswer: 746324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v**3 + 12*v**2 - 9*v + 1. Give p(11).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 21202122210121 (base 3) to base 6.\nAnswer: 224241111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -219, -215, -211, -207?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -7853, -31678, -71363, -126902, -198289, -285518, -388583, -507478?\n\"Answer: z**3 - 7936*z**2 - 24*z + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 + -6. Let b(j) = -j**2 - 28*j - 120. Let o be b(-6). Solve 4*q - t*y = 18, q + y = 3*y + o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 45900043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -324*b**3 + b**2 + 5*b + 1. Let n be x(-2). Suppose 913 = 14*i - n. Let s = i - -22. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) -32710.72 (c) -0.4 (d) 5 (e) 2\/19 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3 + 6 + (-1124)\/(6 + 24\/(-3)) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 1174.19 and -10357.\nAnswer: -9182.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 2*r**3 - r**2 - 2*r - 1. Let c = 0 + 2. Let t(l) = -6*l**3 + 4*l**2 + 7*l + 4. Let d = 26 + -49. Let x = d + 30. What is c*t(v) + x*g(v)?\nAnswer: 2*v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add -16894971 and -87.72.\nAnswer: -16895058.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1 - (-327)\/240 - 5\/(-5) and 1\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkkzgzka. Give prob of sequence gkak.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27 and 6021?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000160859052 rounded to seven dps?\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -13*b - 18. Let c(l) = -7*l - 9. Let f(x) = 3*a(x) - 5*c(x). Let m(d) = 2*d + 5. Suppose 0 = 4*h - 32 - 12. Give h*m(q) + 6*f(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-3))**(13\/5)\/((w*w**0\/w)\/(w\/w**(-7))) assuming w is positive.\nAnswer: w**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.2 + -0.21. Let g = -784.94999994 - -784.94. Let q = g - z. Round q to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 75 - 1 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 208 + -20. Is 24 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 227 - 224. What is the second biggest value in i, 2\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-517)\/693 - 12\/(-14)) + 11\/9\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 214 times -5797372?\nAnswer: -1240637608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 136\/374 - 104\/44?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26355.\nAnswer: 3, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, 4\/33, -1, -3, 82 in descending order.\nAnswer: 82, 1, 4\/33, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 150 - 53. List the prime factors of k.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -3*n. Let w(z) = -3*z. Let s(h) = -6*w(h) + 7*x(h). Suppose q + 2 = -0*q. What is s(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1435 + 5 + -13 + 14?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -7*i + 5. Let x(d) = -4*d + 3. Suppose -3*s = -t - 3 + 12, 4*s + 20 = 0. Let a(h) = t*g(h) + 10*x(h). Let z(m) = 2*m**2. Give z(a(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 4791948 to the power of 1\/2, to the nearest integer?\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 77114295 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*b = -61*b + 5*q - 25, 0 = 7*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 7134*a**2 - 99*a + 341. Is o(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 99 - -111. Let y = -209.6 + r. What is the biggest value in 1, 9, y, -1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in thirty-one halves of a meter?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -2*v**2\/5 + 838*v\/5 - 2268 = 0.\nAnswer: 14, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19078 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 35786397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w - 65*p = -67*p + 25, -w + 3*p = 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 186117 is divided by 6526?\nAnswer: 3389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -30441310 (base 6) to base 3.\nAnswer: -1122112020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-50)\/13 - (-2)\/(-13). Let i(j) = -j + 2. What is the units digit of i(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 103546 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6 - -12)\/(3\/1). Let v(x) = -3 - n*x - x + 0*x + 0*x - x. What is v(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 - 4*t**2 + 6*t + 7. Let q be z(-5). Let j(a) = -a - 12. Let w be j(-10). Sort w, q, 1.\nAnswer: w, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {x: 2, i: 7, o: 9}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 76284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes after 8:45 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 + 5*d**2 - 7*d + 7. What is the common denominator of j(-7) and 100\/(-18) - (-4 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 21*s**2. Let i(m) = 2 - 3 + 1 + 10*m**2. Let l = 3078 - 3065. Determine l*i(p) - 6*u(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -35.12 + 34.72. What is the nearest to -5 in 0.1, -2, -1\/2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*d - 991 = -1111 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-16)\/48)\/((-1)\/21). Let s(g) = -7*g - 22 - i*g + 4*g + 0*g. What is the tens digit of s(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -1. Let k(j) = 31*j - 1. Determine k(f) - 2*t(f).\nAnswer: 31*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 12*m**2 - m - 1. Let z be r(1). What is the greatest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/4, 32, -10 in descending order.\nAnswer: 32, -5\/4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -1108 + 15650 = 238*x + 28108 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 3*h - 20061 - 33813, -5*w = -h - 89808. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 8*d**3 + 7*d**2 + 5*d. Let f be w(-4). Let g be (f + -1)\/(5\/5). Is 0 + -1 + (-1 - g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1397, -1393, -1387, -1379, -1369, -1357?\nAnswer: -1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1081903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -193 plus 5650155043?\nAnswer: 5650154850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 52 - -163.62487.\nAnswer: 215.62487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2 + 1)\/(33\/880). What is the greatest common factor of u and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*k**2*x**2 + 2*k**2*x - 390*k**2 + 8*k*x**2 - 35742*x**2 - 8916*x wrt x.\nAnswer: -4*k**2 + 16*k - 71484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 266 minutes after 1:23 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 30, 54, 98, 168, 270, 410?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 66 = 7*o + 24 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/3*(-3)\/(-1020)*-1522. Let i = p - -2\/85. Let s = -0.1 + -0.9. Do s and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/(p*((p\/(p*p\/(p**24*p)))\/p)\/p)*p\/p**(-2\/5) assuming p is positive.\nAnswer: p**(-103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 142 - 64. Let w be f\/(-120) + 4\/16. What is the fourth biggest value in w, -0.1, 3, 14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -861 - -141. Which is smaller: p or -721?\nAnswer: -721","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 17*w - 11. Let g be u(3). Suppose -5*a + 200 = 3*x, x + 68 = 4*a - 92. Calculate the greatest common factor of g and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1310500 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i = 38 - 40. Let p be (1\/(-2))\/(i + (-9)\/(-6)). Suppose -24 = -4*c - f + 4*f, 11 = -3*c - 5*f. Solve x = -c + p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (5*((sqrt(2057)*1 + sqrt(2057) - sqrt(2057)) + 4 + ((sqrt(2057) - 2*sqrt(2057))*1 - sqrt(2057))) - 3*(1 + -1*sqrt(2057)*-2)))**2.\nAnswer: -5082*sqrt(17) + 249338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1057\/2 + -527. Let d = -0.19 - 0.01. Let s = -2.8 + d. What is the biggest value in s, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6*(0 + (-2)\/12). Let s be 0 - 2544\/9 - 16\/12. Let w = s - -2275\/8. Which is the second biggest value? (a) o (b) -0.9 (c) w (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 451 - 453. Is 2*(q - -1) + 593\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -78.671154 to one decimal place.\nAnswer: -78.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -13*g + 26. Let q(d) = 4 + 10 - 3 - 2 - 4*d. Let t(b) = 4*a(b) - 11*q(b). What is the derivative of t(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 19783 - -14806. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*q - 3*c = 9*q + 17331, 4*q = -3*c + 23122. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4 + 74*j**3 + 484*j**2 - 560*j.\nAnswer: 2*j*(j - 1)*(j + 10)*(j + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 6\/7 (b) 2\/7 (c) 46395 (d) 2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence etu when three letters picked without replacement from {t: 2, u: 4, v: 1, e: 2, a: 6}?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*v**3 + 5*v**3 - 10*v**3)*(-5 + 2 + 5) - 4*v**3 + 0*v**3 - 3*v**3 + (-2 + 2*v**3 + 2)*(-1 + 3 - 3).\nAnswer: -33*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16 - -3. Let v = s + -19. Solve 4*o = -v - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.03? (a) -0.32 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from plpplllglpppg.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + -1 + 2 + 4 + 0 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 113438*v = 113441*v + 171. Which is bigger: v or -281\/5?\nAnswer: -281\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25089811?\nAnswer: 37, 678103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (53 - 0)\/((-9)\/(-45)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 6\/14 + (-144)\/140. Let c(a) = -2*a**2 - 6*a + 180. Let j be c(-11). Put f, -2\/3, j in increasing order.\nAnswer: -2\/3, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l - 8. Suppose -4*h - 5*o - 31 = 0, 0*h = 2*h + 2*o + 18. Let y = h - -7. Let u be z(y). Which is the nearest to u? (a) 2 (b) 2\/7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 48 = 267. Calculate the remainder when 2937 is divided by x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 + -11. Suppose 0 = 3*h - r*y - 170, -3*h = 3*y - 183 + 45. What is the highest common divisor of 20 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38815100 less than 38815100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2530433336.\nAnswer: 2, 8089, 39103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 10) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14, 30, 56, 92, 138, 194?\nAnswer: 260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-m + 6*m + m)*(2*m**2 + m**2 - 5*m**2) - 2*m**2 - 2*m**3 + 2*m**2.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -12*n**2 - 312*n + 189. What is h(-26)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55554 is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 394\/2405 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12105\/14 - -865. Let a = 27\/154 - n. What is the nearest to -2\/5 in -0.1, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 5*c - 3 = 0, 9*i - 11 = 11*i - 5*c for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 3*h**2 + 31*h + 13. Let b be t(-10). Let a be (-25 + 25)*b\/12. Solve 3*l - 8*l = a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ayay when four letters picked without replacement from ayhhahhhy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2154872 to the power of 1\/3, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 6, 95, 59, 3, -4, 4 in ascending order.\nAnswer: -4, 1, 3, 4, 6, 59, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -57*b**2\/4 - 87*b\/4 - 15\/2.\nAnswer: -3*(b + 1)*(19*b + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 356.45982 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 99 = -35*o. Let x = 3 + 1. Suppose -o*a = x*h - 108 - 3, 3*a - h = 111. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 420\/37 - 10004\/777. What is the common denominator of k and -37\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -437 - -1064. What is the greatest common factor of t and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vpww when four letters picked without replacement from {p: 5, w: 2, f: 4, m: 1, x: 1, v: 2}.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1174193807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/45 - 720667\/34245 - -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 12037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-2934)\/489*(-11)\/6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 0 + (-24)\/(-9)*3. Suppose 5*n - u = 7*n. Sort 2, -3, n in decreasing order.\nAnswer: 2, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175563351.\nAnswer: 3, 101, 193139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o - 411 + 1389 = 0. What are the prime factors of o?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4632.07 millilitres in litres?\nAnswer: 4.63207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10262, -10258, -10252, -10244, -10234?\nAnswer: -10222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -24 = -2*z + 4*y, -50 = 85*z - 90*z + 8*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 249?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28)\/(2*sqrt(4) - sqrt(4))*2 + -3)*6 - (-3*sqrt(28)\/sqrt(4) + -5 - (3*-2*sqrt(77) - sqrt(77))\/sqrt(11)).\nAnswer: -13 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - (11 + 9 + 5) - -3) + (4 - 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1473? (a) 3.3 (b) -4 (c) 130 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 4, m: 3, n: 4, z: 6, d: 2, b: 1}. Give prob of sequence zbd.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 117 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -21 in 5\/8, -3\/11, 3, 3\/2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -609 divided by 145?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10\/23 - 119\/115. Suppose 0 = -37*q + 203 + 93. Sort -0.5, -2, q, s.\nAnswer: -2, s, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 361*j + 116*j - 476*j. Let u(p) = -1636*p**2. Determine g(u(k)).\nAnswer: -1636*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be 10\/7*(-9 - -7). Which is smaller: s or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(65) + 3*sqrt(65)*3)*-4)\/((3*sqrt(880))\/(sqrt(11) - sqrt(1331)*-1)).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 9*g**2 + 6*g - 7. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -2*z - 190. Let y(i) = 1. Let d(m) = -u(m) - 6*y(m). Let k be d(0). Let j = k - 93. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 12) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 21534 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:35 PM and 2:34 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1736*a - 1756*a = -2560. Calculate the remainder when 676 is divided by a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the third derivative of 15*n**2 + 0*n**3 + 0*n + 0 + 39\/8*n**4. What are the prime factors of s(1)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -9*g + 5. Let a(k) be the third derivative of -11\/12*k**4 - 3*k**2 + 2*k**3 + 0*k + 0. Calculate -5*a(j) + 12*l(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 104086194*-2\nAnswer: -208172388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 52, -2, 2, 8 in descending order.\nAnswer: 52, 8, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33947 is divided by 1341.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24\/16 + (-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -774763.6990366 and 3.\nAnswer: -774760.6990366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tlsllls. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:15 PM and 8:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(-9) - 391*(-5)\/105. Which is smaller: r or 19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 205 + -99. Let v = -32 + n. List the prime factors of v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l**(-26)*l))\/(l**(-4\/7)*l) assuming l is positive.\nAnswer: l**(179\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1361488128 and 8736?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 12) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 779a2 (base 14) in base 10?\nAnswer: 290026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 82 + 127. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-3)\/(-2))\/(39\/(-4)). Let g = -0.3 - 2.7. Let w be ((6\/(-1))\/54)\/(12 - 13 - -2). What is the nearest to w in 2\/9, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -155*c + 470*c - 158*c + 12*c**2 - 157*c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 41*p - 43*p + 6020. Suppose 0 = 6*o + 8*o - p. What are the prime factors of o?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 - 0. Suppose -4*f = -g*f - 5*v + 24, 0 = 5*f + v + 16. Let p be (-8)\/(-3)*(f - 596). What is p rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/((-42)\/728*(-1 + -3)). Solve -2*b = j - 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 8 = -0*y. Let h = y + -7. What is the smallest common multiple of 10 and (-8)\/2*(h + 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = 2*t - 4*m - 46, -2*m - 50 = -2*t. What is the tens digit of 27\/(-2)*(-36)\/t + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 + 6. Let j(q) = 18*q - 31. Let f be j(y). Suppose 3*d - 5*b - 250 = 0, 139 + f = 4*d + 2*b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = 8*a + 156, 13585*y = 13588*y + 84 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 14 = 6*s + 3*v, 4*v = 2*s. Suppose l - 5*f - 2 + 3 = 0, -s*f = 5*l - 24. Sort -5, l, -1, 5 in increasing order.\nAnswer: -5, -1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 - 1.07. Let z = -0.07 - i. Which is the third smallest value? (a) z (b) 4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 3*h = 8, s + 22 = 5*s + 2*h. Suppose 0*n - 3 = -n + 4*x, 2*n = -3*x - s. Which is the nearest to n? (a) -1\/4 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 62 and 17201497.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 32302, 64956, 97610, 130264?\n\"Answer: 32654*a - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 11812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:35 AM and 7:47 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16.6 + 197.6. Let d = 181.00000073 - f. What is d rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssvgsgssbsgs. What is prob of sequence vsb?\nAnswer: 7\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/1)\/(9\/45)*2\/((-44)\/(-22)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 3*x**2 + 6*x + 7. Let a = 19 + -22. Let q be p(a). What is the greatest common factor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 164 and -8182894?\nAnswer: 8183058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((sqrt(72) + -1 - sqrt(72) - sqrt(72)) + sqrt(72) + -2))**2 + -1*(sqrt(72) + 1 + sqrt(72))*1.\nAnswer: -12*sqrt(2) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 37578*g**3*w - 860*g**2*w - 21*w wrt g?\nAnswer: 225468*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + 36149?\nAnswer: 36146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35069127?\nAnswer: 3, 73, 79, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -21 (b) -3 (c) -46 (d) 2\/9 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 - (-728)\/(-39) - ((-1232)\/273)\/(-8)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2824*a**3*n*s*u + 2*a**3*n - 356*a**3*s*u - a**2*n*s - 2*a**2*s*u + 16293*a**2 - a*n*u + 8*a*n + n*s*u wrt a.\nAnswer: -16944*n*s*u + 12*n - 2136*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*w - 55*w + 90*w - 85*w - 3*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4636*x**3 - 3316*x**2 wrt x?\nAnswer: 27816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 21 = 4*w, -69*w + 74*w - r = 24 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((19\/19)\/20)\/((-1)\/(-12))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k + 36 = 27*q - 22*q, 4*k + 28 = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {s: 3, h: 1, t: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -38 - 14. Suppose 0 = -4*h + 58 + 34. What is the remainder when h is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -514, -3538, -8584, -15652?\nAnswer: -24742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-16 - -5)\/((15\/6)\/(-5)). Let w(h) = -h**3 - h**2 + 5*h + 5. Let t be w(-4). Calculate the greatest common divisor of g and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 13563 and -0.15.\nAnswer: 13562.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -q**3 + q**2 - q + 7. Let i be u(2). What is the highest common factor of i and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 c, and 1 b when three letters picked without replacement from dcbowcd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 + (-1 - (0 + 0 + -8 + 2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h**3 - 27*h**2 - 182*h - 3276. What is t(-25)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 8862 + 31709 = -530*l - 4479 for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -1 + (-16 - 1 - (-30 - -20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3.8 - -4.4. Let r = -1.01 + n. Let t = 0.410075 + r. Round t to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 37*o + 67. Let a(b) = -64*b - 134. Calculate -4*a(s) - 7*m(s).\nAnswer: -3*s + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -10.4, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -490 + 466.044. Let j = k + 24. Round j to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 3 q when four letters picked without replacement from qqnklklqqnnzqnkgkqnq?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 5*y + 116 = 226, 2*v - 5*y - 47 = 0. Solve -5*i = -15, -3*i = -3*c - v - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 572.2581 nanograms to tonnes.\nAnswer: 0.0000000000005722581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2047*k - 13604 = -54544 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + n + 3*n = 10, -20 = -4*q - 3*n. Suppose 0*j - q = -j. Let g be (6\/(-15))\/(2\/(-20)). Solve 16 + g = -j*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 1629*l + 9. Let w(a) = 588070*a + 3252. What is -1084*j(m) + 3*w(m)?\nAnswer: -1626*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -138*i**3*j**2 + i**3 - 101*i*j**2 + 5*j**2 wrt i.\nAnswer: -828*i*j**2 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 16*w - 378. Give v(25).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1389 greater than or equal to 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - s + 537 = s, -895 = -5*t - 5*s. Suppose 2*q - 4*m - 134 = 0, -6*m + m + t = 3*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 5*q**3 + 3*q**2 - 2. Let g(w) be the first derivative of w**4\/4 + w**3\/3 - 4. Let y(p) = c(p) - 4*g(p). Let r be y(2). Solve -s = r*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 208189, 832740, 1873661, 3330952, 5204613, 7494644, 10201045?\nAnswer: 13323816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = -3*u + 41, -u + u - 65 = -401*m + 406*m - 5*u for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11399\/93962 or 1?\nAnswer: 11399\/93962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/21 + (-6)\/(-21) + 0. Solve -2*a + 6*a - 4 = y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-2\/3))**(-8\/13)*q**(-1\/4)\/q**3 assuming q is positive.\nAnswer: q**(-539\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the first derivative of r**4\/4 + r**3\/3 + r**2\/2 - 1. Let j(b) = 8*b**3 + 6*b**2 + 6*b. Suppose 4*c + c = -30. Determine c*t(z) + j(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-175)\/35*(-6)\/(150\/(-55)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 300021 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*s - s = -3*d + 27, 5*s - 15 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 3*p = -225. Let a = -40 + 387. Let s = a + 13. Calculate the greatest common divisor of s and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 5*d - 5. Let t(a) = -a**3 - 7*a**2 - 7*a. Let y be t(d). Is 5 a factor of 144\/15 + (-6)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2380704 is divided by 651?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -3*f**2. Let h(a) = -9*a + 5. Let l(u) = -44*u + 24. Let p(b) = 24*h(b) - 5*l(b). Determine p(d(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**16\/t**17*((t*t*t*t*t\/t**4)\/t)**34 assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 1 - 3 - (-86 - -89)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-5)\/2*(-6 - (-192)\/30). Suppose -3*h + q = -3 + 4, 12 = 3*q. Put h, f, -4, 4 in descending order.\nAnswer: 4, h, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*p = -19*p - 232. Calculate the remainder when ((-14)\/5)\/((-2)\/60) is divided by p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 186478750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 39 = 4*x + 3*m, x - 43 = 5*m. Let j = 198 - 109. Calculate the remainder when j is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (48\/(-22))\/(3672\/53856)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 0)*(-2*r**5 + 7*r**5 + 2*r**5).\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 2*u**2 + 3*u - 15. Let v be a(-4). Suppose 0 = -2*i - 2 - 8. Put i, v, 2 in decreasing order.\nAnswer: v, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -4*b + 22, -3*a - 5*b = -16 - 3. Sort a, -20, -4, 6 in increasing order.\nAnswer: -20, -4, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16175989 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5087 + 27682. What is u rounded to the nearest one hundred?\nAnswer: 22600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/f**(-30)*f*f**31\/f*f*(f\/(f\/(f\/(f*((f**(1\/8)\/f)\/f)\/f))))**(-14) assuming f is positive.\nAnswer: f**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 11 = 4*l - 0*l, 20715*j + 59 = 4*l + 20724*j for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h - 3*h + 3*h)*(1 - 4 + 4) + 1036417 - 1036417 + 602*h.\nAnswer: 600*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*p = -29*p + 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 o when two letters picked without replacement from qoofh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 6) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -159? (a) -12 (b) 1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 93 and 26346.\nAnswer: 816726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3 and 14646.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 2212130 (base 4) to base 8.\nAnswer: 24634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 163 divide 4752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15 + 112 + 136)*(79*f**5 + 12*f**5 - 26*f**5 + 46*f**5).\nAnswer: 25863*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/7372 and 127\/380.\nAnswer: 36860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 h, and 2 z when four letters picked without replacement from zvvovzzvothvtjhzz?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 2*c**2 - 27*c - 695. What is a(28)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*y - 10*y + y)*((-y + 3*y - 4*y)*(1 - 1 - 2) + 0*y - y + 4*y)*(0 + 0 + y + (-19 + 19 - 9*y)*(4 + 0 - 6)) to k*y**3 + n*y + v*y**2 + m and give k.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-11)\/((-110)\/(-50)) - (364\/304*4 + -10)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What is 5 less than -3.24?\nAnswer: -8.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 AM and 9:52 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-43*b**4 - 14*b**4 - 2*b**4)*(2*b - b - 3*b + 2*b + 0*b - b + (-3*b + 4*b + 2*b)*(14 - 4 + 8)).\nAnswer: -3127*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, -4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1319\/(-26380)*(-10)\/(-12).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -6234308318598.6 - 0.1?\nAnswer: -6234308318598.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -3*m + 1674, q - 6 = -2*q. Let f = m + -309. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -2*w**3 - 192*w**2 - 4021*w - 386020. Determine x(-96).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bieeeiieeei. What is prob of sequence ie?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i + 8, 4*i + i + 394 = 4*h. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21.7 + 8.3. Is v greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5) + sqrt(5) + sqrt(500) + -3)**2 + (sqrt(5) - ((sqrt(605) + 2 - sqrt(605)) + sqrt(605)))**2)*3.\nAnswer: -96*sqrt(5) + 3699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 539 and 70609.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.0811 - -0.0811. Put 0.1, 10, b, -0.1 in ascending order.\nAnswer: b, -0.1, 0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*d - 102*d**3 + 0*d + 149*d**3 - 89*d**3 + 43*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrbborbborobbrrbb. What is prob of sequence oo?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*a - 3*i - 5, 4*a - 2*i = 2*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -12441357 + 0.0133228\nAnswer: -12441356.9866772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + (-19 - (-13 - -8) - -12 - 18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*1*12\/216*6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 183, 345, 515, 699, 903?\n\"Answer: g**3 - 2*g**2 + 161*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**3 - u**2 - 2*u + 5. Let q be c(0). Suppose 2*d - 4 = 3*j, -d + 0*j - q = -5*j. Solve v + 4 = -0*v + d*m, 3*v + 4*m = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 8\/2805 and 1\/2349281?\nAnswer: 35239215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -167906.1 to the nearest one hundred.\nAnswer: -167900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01212797 to 4 decimal places.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 59035 = -51*n + 16*n + 58860 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*(z*z*z**(1\/4))\/z)\/(z**(12\/11)\/z) assuming z is positive.\nAnswer: z**(95\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a + 273 - 89. Let k = -23 - a. Calculate the remainder when k is divided by (0 + 0)\/(-4) - -12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 31*w**2 - 68*w + 70. Let x be u(33). Suppose -4*r - r = x*f - 2266, 3*f = -5*r + 2262. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = -g + 3*a - 4, 2 = -2*a. Suppose -18*i + 17397 - 18009 = 0. Are i and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y and 1 d when four letters picked without replacement from {d: 3, y: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d**4 - 58626*d**3 + 8323020*d**2 - 16470174*d + 8205777 = 0 for d.\nAnswer: 1, 141, 19399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 5*q - 34, 2*q - 16 = c - 57. Suppose 1024 = 9*z - 7*z - 5*y, -3*z + 2*y = -1525. Calculate the highest common divisor of c and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 - -6. Suppose 3*x - 8*x + 15 = i. Let 1\/2*z**x + 0*z**2 + 0 - 1\/2*z = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**3\/7 - 351068*h**2\/7 - 15405741504*h\/7 + 30812887296\/7.\nAnswer: -2*(h - 2)*(h + 87768)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 0.08276 and 1143 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -135 - 3*n**2 - 135 + 262 - 9*n + n**2. What is s(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 + 4*w**2 + 22*w - 7. Give s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 + 13. Let b be (256\/28 + -9)*28\/64. Sort 2\/13, i, b in ascending order.\nAnswer: b, 2\/13, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -5*s**5\/8 + 16067*s**4\/8 + 73989*s**3\/8 + 80449*s**2\/8 + 403*s - 4827\/2 = 0. What is s?\nAnswer: -3, -1, 2\/5, 3218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 865 and 20760.\nAnswer: 20760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(1100)*-1 + -3 + 3)**2 + -1.\nAnswer: -40*sqrt(11) + 1103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 487280.3 centuries in decades?\nAnswer: 4872803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -151*b + 32 - 161*b + 344*b - 12*b - 32.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 7*m + 32 = 3*d, 4*d - 36 = -5*m. Solve 3*y - 21 - 4 = m*r, 0 = -4*y - 5*r - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -2*q**2. Let g(u) = 783*u**2. What is g(b(z))?\nAnswer: 3132*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -117, -10, 7, 5, 4 in increasing order.\nAnswer: -117, -10, 0, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 1\/3, -5, 4, 0.1, 152?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0718979 rounded to four dps?\nAnswer: 0.0719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*s + j + 14 = -20*s, 5*s + 4*j - 34 = 0. Solve -13 = 3*p - s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((180\/(-35))\/(-6))\/(2\/(-14)) + 39985\/727?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -123*s + 726 = -39 + 150 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 269\/6 (b) -12\/53 (c) 0.4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -3*h**2. Let a(l) = 2657*l. Determine t(a(v)).\nAnswer: -21178947*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 321 + -319. Let w be 70656\/(-106605) - d\/(-3). Is w less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15 + 13 - (2 - 6)) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 11*f**2. Let g(d) be the second derivative of -d**3\/3 - 31*d. What is g(a(t))?\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4177 + 13163. What are the prime factors of i?\nAnswer: 2, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, b: 1}. What is prob of sequence zb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of q**2 - 234*q - 261 wrt q?\nAnswer: 2*q - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5\/2? (a) 0.12 (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*u**(-2\/3))**(1\/2))**(-41)\/((u\/(u\/(u\/(u**(-1\/2)*u))))**48\/(u*u**(-1))**(-1\/28)) assuming u is positive.\nAnswer: u**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 1, -3, 34777 in decreasing order.\nAnswer: 34777, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -5, -13, -21?\n\"Answer: -8*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1664248252 a multiple of 4325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes before 7:56 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4348590 or -4348585?\nAnswer: -4348585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1443 and 8185671.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -196*i*y**3 + 6546*i - 40*y wrt y?\nAnswer: -588*i*y**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 2*t = 0. Suppose t = -4*l - 0*l. Let a be 28\/(-42) - 26\/(-3) - 2. Solve l*k + a = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -174420 - -174425. Let n be 2\/7 - 4\/14. Put 9, i, n in decreasing order.\nAnswer: 9, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 15*(-16)\/18*(-75)\/50. Solve -s*w = -w - 19 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) - (3*sqrt(18))\/sqrt(6))**2 - (-5*sqrt(147))**2.\nAnswer: -3663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i**2 + 0*i**2 + 5*i**4)*(i - 6*i + 3*i).\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be 18*(1\/(-2) + 1). Let h(s) = 3*s - 3*s - 6 + s + 0*s - 4. Let z be h(l). Put 2, -5, z in increasing order.\nAnswer: -5, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 871446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -778, -3081, -6908, -12259, -19134, -27533, -37456?\nAnswer: -48903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 9 (b) 2 (c) 1\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-6))\/(13\/897)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -14 + 66.94.\nAnswer: 52.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*v**2 + 5455*v**3 + 9 - 35 + 16 + 9.\nAnswer: 5455*v**3 - 6*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10111974?\nAnswer: 2, 3, 17, 99137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the first derivative of -6*g**6 - g**5\/5 - 193*g**3\/3 - 200. What is the third derivative of r(n) wrt n?\nAnswer: -2160*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7*6)\/(561\/(-187)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(1\/2)\/(y\/(y**2\/y)))\/(y*y\/y**1)**(-1\/10) assuming y is positive.\nAnswer: y**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/m**(-2))**(-28)\/((m**(2\/7)\/m*m)\/m*m)**(1\/29))**(-34) assuming m is positive.\nAnswer: m**(579836\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*u + 182 + 388 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 - ac?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 344 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 + 0. Let i(c) = -2*c**3 - 10*c**2 - 9*c - 1. Let g be i(-1). Let h be ((-8)\/(-4) - 3) + 3. Sort -1, k, h, g.\nAnswer: -1, g, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o*o\/(o*o*o**(-6\/17)))*o*o**(-2\/7))\/((o\/(o\/((o\/(o\/(o\/(o\/((o\/(((o**1\/o)\/o)\/o))\/o)))))\/o)))\/o**(-11)) assuming o is positive.\nAnswer: o**(-1266\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z**4 + 188*z**3 + 192*z**2 = 0. What is z?\nAnswer: -1, 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4) - (((sqrt(32)\/sqrt(8) - sqrt(4))*2 - sqrt(4)) + sqrt(4)) - (-1*sqrt(4) - sqrt(4))*-6)\/(-2*-4*(-3*sqrt(6))\/sqrt(3)).\nAnswer: 11*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*j + 5*c + 20, -j + 11*c + 208 = 203 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**(-1\/8)\/m)\/m*m)**8)**(-42) assuming m is positive.\nAnswer: m**378","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 7*w**4 - 158*w**2 + 190*w - 11. Let n(a) = 4*a**4 - 79*a**2 + 95*a - 6. Let l(k) = -6*g(k) + 11*n(k). What is the second derivative of l(s) wrt s?\nAnswer: 24*s**2 + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-117) + (-2 - -2)\/(-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the third derivative of g**5\/6 - g**4\/24 - g**3 - 4*g**2 + 1435. Let n(r) = -11*r**2 + 7. What is -6*m(a) - 5*n(a)?\nAnswer: -5*a**2 + 6*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = d - 15, -6*d + 2*d - 2*p = -24. Suppose -2*x + x + d = 0. Let z(i) = i + 2. Give z(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 2*q**2. Let z(a) be the first derivative of 0*a + 0*a**2 + 0*a**4 + 4 + 1\/120*a**5 + a**3. Let s(p) be the third derivative of z(p). Give s(g(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2 and -1.1373889?\nAnswer: -2.2747778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + -2. Let k be (-2*(0 - c))\/(-1). Suppose -k*f + 19 = -2*f - 5*v, -3 = -3*v. What is the highest common factor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29 + -52.314?\nAnswer: -23.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 6) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 10312024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + w = 0. Suppose -4*q - 81 = 5*t, 5*q = 3*t - 0*t + 19. Let v = t - -53\/4. Which is greater: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*w + 19*w + 1993 = 5*m, -4*w + 2661 = 3*m. Round w to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x and 1 l when four letters picked without replacement from {m: 1, l: 4, x: 1, t: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 9533, 19050, 28553, 38042, 47517, 56978, 66425?\n\"Answer: -7*s**2 + 9538*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -80020005, -160040001, -240059997, -320079993, -400099989, -480119985?\nAnswer: -560139981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*t + 26 = -5*t. Let h(n) = 10 - 4*n - 10 + t*n. Let o(k) = 15*k. Give o(h(m)).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 31, 153?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -4*a**3 - 292*a**2 + 18*a + 1298. Determine x(-73).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(15)\/(sqrt(15)\/sqrt(245)) - ((-2*sqrt(25))\/sqrt(5) - (sqrt(5) + 0 + -2)**2).\nAnswer: 9 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 5*a - 30. Let i(g) = -6*g + 318. Let r(n) = 6*n - 302. Let t(h) = -17*i(h) - 18*r(h). What is 5*b(j) + 4*t(j)?\nAnswer: j - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 919165069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 10*p**2 - 4*p + 3. Let x = 9 + -7. Is g(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5223?\nAnswer: 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 13 - 3*i**3 + 1127*i**4 - i**2 + 2*i**2 + 34 - 49 as x*i**3 + b*i + r + q*i**4 + d*i**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -70*f**2 + 73 + 70 - 143 to the form t + c*f**2 + d*f and give c.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:30 PM and 12:33 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6350*o**3 + 11247*o.\nAnswer: 38100*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 2010122122 (base 3) to base 6.\nAnswer: 522325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 55 = -3*v + 4*v. Let m be 0 + 3\/3 - -641. Suppose v = -u + m. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 + -1011101?\nAnswer: -1011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 338 and 1260810811.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**3 - 9*i**2 + 8*i + 3. Let r be z(8). Let a(x) be the third derivative of x**5\/60 + x**4\/24 + x**2. Let w be a(3). Solve 7*v = r*v + w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*t + t**4 - t**4 + t**4 + 6*t**3 - 2*t**4 to d*t**4 + u + y*t**3 + r*t + o*t**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10667*y - 1772*y - 1846*y.\nAnswer: -14285*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 3*w = -16 + 3, 3 = 4*a + 5*w. Let o(s) = s - 3. Let r be o(a). Is (8\/(-3))\/(r\/3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 5*t - 2. Let s be b(-7). Let i = 56 + s. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3169 - 1550. Let p = 7389 + z. Suppose 2*r - p = -r. What is r rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 347 and 0.3.\nAnswer: 104.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 3\/29 (b) 5 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -4846 (base 13) to base 8\nAnswer: -23726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 897677, 3590699, 8079069, 14362787, 22441853?\n\"Answer: 897674*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -127\/5952 and 59\/101764816.\nAnswer: 1221177792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 647.932 millennia to years.\nAnswer: 647932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 6507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -467\/6735 greater than -1\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 1 = -6*h, 0 = -3*o + h + 12233. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*y + 2*y + 3 - 2)*(3*y**2 - 3 + 3).\nAnswer: 21*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4.5 + 25.5. Let w = -21.192 + b. Let t = 0.11 + w. Round t to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -14117 + 14385. Calculate the remainder when a is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4069 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that -5*z**4\/4 - 1125*z**3\/4 - 1855*z**2 + 11715*z + 58860 = 0.\nAnswer: -218, -9, -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + l - 20 = 0, -2*l - 16 = -4*s - 6*l for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 2316 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8692 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gsss when four letters picked without replacement from {s: 3, q: 2, g: 5}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1082 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -q**2 - 10*q + 7. Let k be v(-7). Let r be 7\/k - 2401\/4. What is r rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 + 65ec38?\nAnswer: 65ec3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 9*a**2 - 16*a. Let i(y) = -y**3 - 3*y**2 - 4*y - 7. Let h be i(-3). Suppose -w = 4*b + 7, 0*b = -w - h*b - 7. Is j(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -43 + 25. Let g = -13 - m. Suppose g*l = 25, 0 = -5*s - 4*l + 44 - 9. Solve -y + s*y - u = -10, 2*u - 4 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the first derivative of -1\/8*g**4 - 1\/2*g**2 + 3 + 1\/2*g**3 + 0*g. Factor s(o).\nAnswer: -o*(o - 2)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 24343a + -8?\nAnswer: 243432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0005994 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 243*h + 209. Is t(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 12020827*m. Let b(o) = -26*o. Give b(u(h)).\nAnswer: -312541502*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 1409992.581 to the nearest 1000.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 1 + 1)*(2*o - 4*o + 4*o) + (124 - 124 - 15*o)*(-1 - 3 + 2) + 2434 - 2434 + 42*o in the form t + b*o and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 44351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 61*i**2 - 98*i**2 + 17*i**2 - 27 as v*i**2 + f*i + m and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 168 and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -a - 8. Give j(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of p*q**3*w**2 - p*q**2 + 4316*q**3*w + 2*q**3 - q*w**2 + 290*q wrt w?\nAnswer: 2*p*q**3*w + 4316*q**3 - 2*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -19854a (base 12) to base 6.\nAnswer: -13351334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137355 is divided by 135.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6148341 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 530143443 (base 6) in base 12?\nAnswer: 3121b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the first derivative of 5*o**2\/2 + o + 21. Let f be m(-1). Let j(n) = n**3 + 4*n**2 - 3*n - 6. What is j(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*h + 109*h**2 - 349*h**2 + 112*h**2 + 131*h**2 + 180*h**3 + 4 in the form s*h + n*h**2 + t + v*h**3 and give v.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 983748.9 millilitres to litres.\nAnswer: 983.7489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -16 + 70 + 93*x + 6*x. Let g(f) = -9*f - 5. Calculate -54*g(b) - 5*r(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -34.1 + 33.1. What is the nearest to h in 1\/48, 0.3, 3, 3\/4?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(-1)*l**(5\/6)*l*l)**(-42) assuming l is positive.\nAnswer: l**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.1 or 5\/68?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the first derivative of -38*v**2 - 107 - 136*v - 4\/3*v**3. Factor p(i).\nAnswer: -4*(i + 2)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 3 - 9 + m - 15. Let h(n) = -1278. Let k(g) = 85. Let a(w) = h(w) + 15*k(w). Let l(j) = j**2 + 3*j + 3. Let c be l(-6). Calculate c*a(f) - 3*t(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -111.8 and 0.4?\nAnswer: 112.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 56533*a*j**3*y - 1320*a*y - 1594*j**3*y - 68923*y with respect to a.\nAnswer: 56533*j**3*y - 1320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -134 = -16*i + 69*i + 661 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**4 + 7*n**3 - 5*n**2 + 3*n + 3. Let r(l) = -2*l**4 - 6*l**3 + 6*l**2 - 2*l - 2. Let w(s) = 2*i(s) + 3*r(s). Factor w(a).\nAnswer: -4*a**2*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18 + -2 + (-10 - -6) + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 12, -24, -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k**2 + 3*k. Let q(c) = 4*c + 1. Let u(w) = -3*q(w) + 4*t(w). Let y(z) = -12*z**2 - 8. Calculate -8*u(o) + 3*y(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*l - 8984 = 24*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/4*(8 - 8). Solve 3*w - 1 - 5 = m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-64*y**3 + 75*y**3 + 221*y**3)*(-72 + 5*y**2 + 72)*(-1 + 6 - 4).\nAnswer: 1160*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-10)\/(-4)*-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -24 + 30. Let l(t) = t**2 - 10*t + 7. What is l(h)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, i: 13, g: 3}. What is prob of picking 1 c and 1 i?\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 y, and 1 t when three letters picked without replacement from hjyyjhtjjjmjjyjljj.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = s**3 - 2*s**2 + 16*s - 113. What are the prime factors of y(9)?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11350904.5 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -240.8 > -4036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * 775572.\nAnswer: -310228.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide -126291351 by 5.\nAnswer: -126291351\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 32240006059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/k**(2\/5))\/(k**(-3)\/k*k))\/(k*k\/(k\/k**(9\/4))*k*k*k\/k**(-2\/17)*k))**(-15) assuming k is positive.\nAnswer: k**(3843\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -356882*f*q**3*s**3 - 8*f*q**3*s**2 - 3*f*q**2*s**3 + 51*f*q*s - q**3*s**2 - 221 wrt s?\nAnswer: -2141292*f*q**3 - 18*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.046 + 1. Let n = f + 0.046027. Round n to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.1214 - 0.96. What is i rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the first derivative of -3*c**2\/2 - c + 7. Differentiate r(a) wrt a.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -102.8 + -25872356405.1.\nAnswer: -25872356507.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be (40\/(-3))\/(6\/18). Let f be (18\/15)\/((-12)\/x). Suppose -2*z + 6*z = f*o + 384, z + 5*o - 120 = 0. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 148153?\nAnswer: 148153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, -4, -12, 458 in increasing order.\nAnswer: -12, -4, -2, 4, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 141 (base 10) to base 7.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -7. Suppose 3*v - n = s*n + 223, -4*v + 5*n + 299 = 0. What is the remainder when v is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1224 <= 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes after 4:20 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5.7 - -0.3. Let o = i + -8. Which is the third biggest value? (a) -0.3 (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7270476497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1*2)\/(14\/(-91)). Let r = -11 + k. Calculate the least common multiple of 36 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*f**2 - 327*f**4 + 17*f - 5*f**2 + 331*f**4 to the form d*f**3 + a*f**2 + b*f + q*f**4 + u and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 21457 and 446605?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k - 687 + 676. Calculate the highest common factor of 407 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 175.4 - 175. What is the fourth biggest value in 4, 0.3, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 48 - 48. Let w be (-3)\/(-2) + (27\/9)\/6. Let p = 20 - 20.4. What is the second biggest value in w, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3)\/(-102)*4 - 0. Let v = 7 + -7.4. Which is the closest to -1? (a) v (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 269541, 539093, 808651, 1078215, 1347785, 1617361, 1886943?\nAnswer: 2156531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of 5*h - 7*h**2 + 0 - 8\/3*h**3 - 1\/12*h**4. What is the remainder when 52 is divided by q(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7.2 + 7.3. Which is the closest to k? (a) 0.1 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 4*z + z. Differentiate -9 + v + z + v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -199838, -399660, -599464, -799244, -998994, -1198708, -1398380?\n\"Answer: c**3 + 3*c**2 - 199838*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 2*v - 6*v. Suppose 3*b = 4*k + b - 18, 3*b = v*k - 7. Suppose 2*a - 12 = 3*d, k*a = d - 2*d - 4. Are 1\/2 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -342 - -172?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -518 or -513?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 30*n - 483. Let q be k(16). Which is greater: 8 or q?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 761*0.04\nAnswer: 30.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 70 - 47. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x and 1 k when four letters picked without replacement from {d: 3, f: 4, x: 5, k: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61*t**2 - 116*t**2 + 61*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -226140 divided by 170?\nAnswer: -22614\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes after 5:43 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -11*j**2 - 6*j**3 - 12*j + 16 + j**2 + 7*j**3. Calculate m(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 2 e, and 1 n when four letters picked without replacement from pedddqeneeenenq?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 17933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 131, 1, -5, 20 in increasing order.\nAnswer: -5, 1, 20, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of -7*d**3 - 10*d. List the prime factors of g(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4021 (b) -19 (c) 0.24 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 224*w - 3137. Determine y(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 5*c - 7 = 0, 3*c = 2*c - 1. Suppose 0 = -o*l + 78 - 2. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -877194, -1754447, -2631702, -3508959, -4386218?\nAnswer: -5263479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxixiixi. What is prob of sequence xxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42097343.\nAnswer: 577, 72959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -s**2 - 69*s.\nAnswer: -s*(s + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 223 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = 6*s - 3. Suppose -7*a + 137 - 32 = 0. What is the remainder when p(5) is divided by a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.021747 rounded to four dps?\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -y**5\/8 - 329*y**4\/8 - 4193*y**3 - 269945*y**2\/2 - 1583300*y - 5041000 = 0.\nAnswer: -142, -20, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -137681 greater than or equal to -137681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((sqrt(343) - (sqrt(343) + sqrt(343) + sqrt(343) + 0)) + sqrt(343)))**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 625896150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = u**2 + 11*u + 11. Let w be v(-9). Let f = w - -11. Calculate the smallest common multiple of 20 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**2 - 5*v - 1. Let k(r) = -6*r. Let f be k(-1). Let g be m(f). Suppose -3*w = -g*w + 14. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 125179542 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: What is the millions digit of 160940019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = 6*p**2 + 170*p - 30. Let o(d) = -7*d**2 - 171*d + 36. Determine 6*g(z) + 5*o(z).\nAnswer: z**2 + 165*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2993 - (-2)\/(-2)*-4. What are the prime factors of -2 + 11\/5 + j\/15?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -2*j**2 - 17*j - 8. Let m be u(-8). Solve m = 5*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 12662179?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-200)\/(-280)*35)\/1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1253620*f**4 + 106*f + 628428457?\nAnswer: 5014480*f**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 - 12*p**2 - 22*p + 100. Let q(d) = 2*d**3 - 26*d**2 - 44*d + 199. Let n(v) = -6*q(v) + 13*w(v). Find the first derivative of n(b) wrt b.\nAnswer: 3*b**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (-1 + 3 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*s**4 + 2*s**3 + 1638*s**2 - 51728 wrt s.\nAnswer: 40*s**3 + 6*s**2 + 3276*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*c = -18*c + 14144. Let x be c\/(-1020) + (-2)\/(-6). What is the nearest to -2 in 16, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 213, 1011, 2323, 4143, 6465, 9283, 12591, 16383?\n\"Answer: -p**3 + 263*p**2 + 16*p - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 78 a factor of 1826604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2949 + -2 + 21\/(-3). Calculate the greatest common factor of 49 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/59, -0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 43\/6? (a) -2\/3 (b) -0.3 (c) -3 (d) 725.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**2 + 176*x - 175.\nAnswer: -(x - 175)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-40)\/144*-66)\/((-635)\/381).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 10750 and 2932170?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes before 12:17 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 2*f**2. Let w(a) = 208*a. Determine w(m(o)).\nAnswer: 416*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-1)\/10)\/(80\/25*1 - 4). Let l(j) be the third derivative of 0 + 0*j**3 - 49*j**2 - w*j**4 - 1\/20*j**5 + 0*j. Factor l(o).\nAnswer: -3*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -22 + (33 - -4 - 13) - -16\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 933 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 20.00001089 - 20. Round b to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13 - -18. Let c = 5.5 - h. Let k be ((-1)\/4)\/((-15)\/12). Sort 3, k, c in ascending order.\nAnswer: k, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 62, 476, 1608, 3818, 7466, 12912, 20516, 30638?\nAnswer: 43638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000441669874 to 6 decimal places.\nAnswer: -0.000442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -769 - 421 = 70*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 141504 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 376275909 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -747 - -751.482. Let z = k - 0.472. Let i = z + -4. Round i to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be -152 + 6\/12*-12. Let v = 198 + q. What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-7 + (-4 - 3))\/(1 - 0). Suppose -2*r = -r - 21. Let p = r + u. Solve 2*k = p*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 571 = -733. Let p = -1514 - -840. Let h = p + f. Round h to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -3*l - 4*b, 65*l = 64*l + b + 10. Suppose 3*g - l*f = 64941, 4*f + 43294 = 2*g + 3*f. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 10 = -p + k, 3*k = 3*p - 18. Suppose -p*z = -823 - 527. Calculate the greatest common divisor of 27 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 6512 (base 7) to base 11\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 0*f + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a + 2*a = 22. Suppose -8*g + a*g = 120. Suppose 2*j + 0*j - 2*c - 124 = 0, 0 = -5*j - c + 298. What is the greatest common divisor of g and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -80, -4 in increasing order.\nAnswer: -80, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61 + 1724 = 7*l. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -338 (base 15) in base 14?\nAnswer: -3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (29*j - 16 + 16)*(-107*j**2 - 53*j**2 + 33*j**2).\nAnswer: -3683*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 6*t**2 + t. Let n be q(1). What is the greatest common divisor of n and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 25 = 2*z, 10*t - 5*t = 5*z + 95. What is the remainder when 89 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -5*b**3 - 6*b - 1. Let t(u) = -u**3 - 2*u**2 + 2*u + 1. Let y(a) = -7*a**3 - 6*a**2 + a + 3. Let w(s) = 3*t(s) - y(s). Determine -3*q(p) - 4*w(p).\nAnswer: -p**3 - 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l*l*l\/l**(-2\/25)*l)\/l**(-1\/9))\/(l\/l**3*l*l\/(l\/(l\/l**(-1\/9)))))\/(l\/l**(-2\/7)*l*l\/(l*l\/(l*l*l*l**(1\/10))))**(1\/45) assuming l is positive.\nAnswer: l**(3139\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-9) + (-12)\/9. Let s be 2 - h - 3 - -3. Suppose -532 = -3*d - 5*w, -5*d = -s*w - 489 - 410. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -21 - -13. Let b = -26833.0002 + 26825. Let l = j - b. What is l rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 189451.9 tonnes in nanograms?\nAnswer: 189451900000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*t - 17*t = -3*j + 3904, -4*t + 5200 = 4*j. Suppose -j = -4*h - w, h - 2*w = -5*w + 339. Calculate the highest common factor of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/50964 and -107\/789942.\nAnswer: 1579884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/13)\/((-79)\/(-2291)*29).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 552761 and 71324?\nAnswer: 2211044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 4\/7, -0.36, 0.5, -3\/5, 5, -2.6?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 104495.\nAnswer: 5, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 37*i + 32 - 22 = 72, -3*i - 33 = -6*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -414387 or -414361?\nAnswer: -414387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 759a9 (base 15) to base 13.\nAnswer: 100c89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1666 and 6494.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 4*g = -0*g - 8, -3*g = -9. Suppose -y*h + 741 = -937. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 6 - 3)*(4*o + 2*o**2 - 4*o) + (o - 5*o + 5*o)*(4 - 14*o - 21*o - 3) to z*o**2 + m*o + i and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = -17*c + 40*c - 515. Solve -k = -5*l - c, 3*k - 4*l + 6*l = -8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16696 and 281832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 351246798 a multiple of 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 145*x - 721. Let h be k(5). Let r be 12\/8 - 21\/(-6). Suppose -4*a = o - 40, 5*o = o + r*a + 97. Solve -2*u - q = 12, 2*u - h*q = 5*u + o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 1007*o - 6 = -1013*o, -3*o - 16 + 10 = -z - 4*o for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = v**3 + 14*v**2 - 6*v - 18. Let j be r(-14). Suppose 47*q + j = 44*q. Let f be (18975\/q)\/(0 - (-3)\/8800). Round f to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the first derivative of -w**3\/3 + 27*w**2\/2 + 15*w - 5462. Calculate v(25).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 882 and 2691.\nAnswer: 263718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28 + 10 + 16 + 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -48 - (27 - (28 + 29)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18.026 - -18.42618. Let q = -7 - -7.4. Let l = j - q. Round l to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 15\/13 - 3\/3. Let t be (-3)\/12 + (-6)\/(-24). Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/13)\/n)**(3\/10)\/(n**11\/n*n*n**(-11)) assuming n is positive.\nAnswer: n**(-33\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1 + -0.1. Let x be 1\/(4*(0 - 1)). Which is the nearest to x? (a) 4 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {u: 1, g: 1, v: 3, n: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 56\/84*3*(1*-2)\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*b + b - 3*b)*(0*b + b - 3*b)*(4 - 3 - 3) - b**2 - 2 + 2)*(-2124 - 1747 + 3111 + (4 - 2 + 0)*(0 + 0 + 2) - 2 + 2 + 1).\nAnswer: -2265*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) be the first derivative of 3*l**2 - 4*l + 861. Let b = 0 - 4. Let h(i) = -i. Let f(k) = -9*k + 3. Let m(q) = f(q) - 4*h(q). Give b*m(w) - 3*z(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 47\/20944 and -53\/680.\nAnswer: 104720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 16*a**4 - 524*a**3 + 380*a**2 + 128*a.\nAnswer: 4*a*(a - 32)*(a - 1)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 457*z - 5. Suppose -x = -4*t + 2, 4*x - 3*x - 3*t = -1. Let q be v(x). Calculate the greatest common factor of q and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -167099?\nAnswer: 2\/167099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 238 + 5?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = -373 + 377. Suppose d = r*n - 1091, 550 = 4*n - 2*n - 2*d. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**2 - 16*s - 9. Suppose 0 = 2*i + 4*h + 82, 2*i + 68 = -2*h - 4. Let l = 18 + i. List the prime factors of y(l).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -6*n**2\/5 + 1632*n\/5 + 4446 = 0. What is n?\nAnswer: -13, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*1*sqrt(143)*-3)\/(sqrt(77)\/sqrt(63)*5))**2 + 2.\nAnswer: 16898\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 18 = 4*h, -6*x + 10*x = 2*h. What is the hundreds digit of 3 - (-8)\/(-16) - (-8181)\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*sqrt(40)\/(sqrt(8)*1) + (1 + sqrt(500))**2 + sqrt(500) + 4.\nAnswer: 31*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 943 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4326493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25301706?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -18*d**3 + 8*d**2 - 39*d - 213. What is the tens digit of u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (16176 + 435*a + 95*a - 16176)*(37*a - 59 + a**2 + 59).\nAnswer: 530*a**3 + 19610*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of f**2*m**3 - f**2 + 117*m**4 + 17*m wrt m.\nAnswer: 6*f**2*m + 1404*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 52003 + -40?\nAnswer: 51633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f + 8 = 3*r - r, r = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -76*z + 327. What is the remainder when 43 is divided by i(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 63*q**2 - 36*q. Let h(j) = 306*j - 270. Let y be h(1). Let p(b) = -b**2 + b. Determine y*p(r) + v(r).\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1201 + 1342. Calculate the smallest common multiple of 33 and c.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + ((-1)\/2)\/(4\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wddbdwbwbdo. Give prob of picking 2 b and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/8 of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 226238, 452709, 679180, 905651?\nAnswer: 1132122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l**4 + 452*l**3 - 7286*l**2 + 37908*l - 60192 = 0. What is l?\nAnswer: 3, 6, 8, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -f**2*l + f**2 + 66767*f*l - 4*f + 4045392*l wrt f?\nAnswer: -2*f*l + 2*f + 66767*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5\/(120\/(-152186572)) + 2\/12. Let b = -1641107 - m. Round b to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-27)\/(-36) - -134*1\/(-8). Find the common denominator of a - 2\/3*3 and 19\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/3))**9*(z*z\/z**(-3))\/z*z*z**(-6) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4542 - 935649\/206. Is x smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 2 = -3*l + 2*l, -3*j - 9 = 3*l. Find the common denominator of (l\/4)\/(33\/(-9)) and 89\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -21 + 43. Let p be (-1)\/(2\/66*-1). Suppose 4*s - p = v, -7*s = -3*s + 2*v - 30. What is the remainder when u is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes after 1:37 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6176, -6680, -7522, -8702, -10220?\nAnswer: -12076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -112 + 0?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a**2 + a - 3. Let m be y(-3). Let q be (-120)\/(-9) - 16\/m. Suppose 9*n + 180 = q*n. What is the greatest common divisor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/14120 and 7\/193444?\nAnswer: 1934440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -77 - -77. What is the units digit of 99\/(-132) + g + (-102)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*y - 79*y = 2*w + 5, 4*y - 2*w = 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -86, -228, -502, -938, -1566?\nAnswer: -2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and 181.\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 369348671?\nAnswer: 12589, 29339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 + t**2 + 12. What is the units digit of u(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(84) + sqrt(84)*-2 + sqrt(84))*-3 + sqrt(84))\/sqrt(4))\/((sqrt(84) + 2*sqrt(84)*1)\/sqrt(12)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m be -3 + -7 + -10 + 20. Let r(w) be the first derivative of 5 + 3\/8*w**2 - 3\/32*w**4 - 1\/8*w**3 + m*w. Factor r(i).\nAnswer: -3*i*(i - 1)*(i + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/4*(-7 - -63). Suppose 0 = 6*k - 5*k - g. 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: List the prime factors of 2670.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1966.7 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 36 divided by -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -195238574*b - 88923853 wrt b?\nAnswer: -195238574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 126*o = 93*o + 693. Suppose -2*s - 10 = -4*g + 8, 0 = 5*g + 3*s - 17. Let w(h) = 16*h - 2. Calculate the remainder when w(g) is divided by o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, 2\/11, -17, -0.3, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 76265937359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of 2*k**3 + k**2 - 1. Let j be (-4 - -10)\/((2\/(-11911))\/(-1)). Let b(n) = 35733 - n**2 - j. What is -5*b(y) - f(y)?\nAnswer: -y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -968, -967, -966, -965, -964?\n\"Answer: k - 969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/6*96\/128. Which is the third smallest value? (a) 1\/2 (b) l (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = 5*z + 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -20*k**5 - 248*k**4 - 816*k**3 - 288*k**2 = 0.\nAnswer: -6, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/18 in 0, -3, 3\/2, -1, -3032?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2408*c**4*i - 3*c**3*i - 252003*i wrt c.\nAnswer: 9632*c**3*i - 9*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 322221 + 1120\nAnswer: 323341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 33588932 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 225808 = -4*j - 4*f, 3*j = j - f - 112902. Let g = -2032057\/36 - j. What is the common denominator of 41\/40 and g?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (5*sqrt(1404))\/((sqrt(3)*2 + sqrt(3))*-5) + -1 + 0)**2.\nAnswer: 24*sqrt(13) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 17*w. Let l(h) = -605645*h. Give v(l(u)).\nAnswer: -10295965*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gqbblqgggbllmqllml. Give prob of picking 1 l, 1 b, and 2 q.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 45663214379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/5737120 and 59\/712550304?\nAnswer: 3562751520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 31, -3\/5, 10, -0.8, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from ttf?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -15*y**2 + 400*y - 134. Let n be u(26). What is the greatest common divisor of 72 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21 + 11210101?\nAnswer: 11210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.15 (c) -2 (d) 11 (e) -6 (f) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 139*p**3 - 5*p + 10. Let b(c) = -208*c**3 + 8*c - 16. Determine -5*b(k) - 8*y(k).\nAnswer: -72*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 2, z: 1, l: 1}. What is prob of picking 1 z, 1 c, and 1 l?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-1))**(-31) assuming o is positive.\nAnswer: o**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 5*t + 37 = 5*a, -3*a - 5*t = -29. Suppose 2*l - 4*r = a, 3*l + 2*r = -1 - 3. Suppose u - 14 - 25 = l. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, 9\/2, -0.05, 1\/2, -3043 in increasing order.\nAnswer: -3043, -2\/9, -0.05, 1\/2, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r - 10 = 0, l + 1940*r + 14 = 1935*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of -r**6\/1140 + 2*r**5\/285 - r**4\/228 - 2*r**3\/19 + 33*r**2. Factor n(l).\nAnswer: -2*(l - 3)*(l - 2)*(l + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -7*g + 2. Let f be 7\/((-14)\/(-4))*1 - 0. Determine u(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -33638300 to the nearest one hundred thousand.\nAnswer: -33600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-3\/13)\/u*u)**(-12)*u**(-15\/2)*u*u*u**12 assuming u is positive.\nAnswer: u**(241\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence un when two letters picked without replacement from uungugudui.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.62 - 0.5.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 37663\/486 - -1\/243. Let f = g + -70. Let o = f + -8. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 24*o - 6. Let y be h(5). Suppose 0 = -3*w + y - 27. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-531)\/(-1800) + 6\/(-16).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the second derivative of n**4\/2 - 12*n. Let q(r) = -2*r - 27 + 27. Determine w(q(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 26 + 579a62?\nAnswer: 579a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j = -128 - 40. Solve 0 = -3*k - j + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 254 or -14\/9?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6984\/225 - -62) + -93?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 6 = 0, 5*s - s = k - 26. Let r = s + 4. Let n be (17\/r)\/((-3)\/6). Solve 4*u = -o - n, 3*u = 4*o + 5*u - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -20819 - -20823. Let t = 3419\/1516 - 2\/379. What is the third smallest value in j, 2, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 6211490 to the nearest one hundred thousand.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of -p**5\/10 + p**4\/12 + p**3\/3 - p**2 + 2*p. Let j be g(2). Let n = j + 14. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, -4, 2, -263.\nAnswer: -263, -5, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 6) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-1))**(-7\/4)*q**(-7\/4)*(q*q**14)\/q assuming q is positive.\nAnswer: q**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 57, 113, 169, 225, 281, 337?\n\"Answer: 56*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 42 - 37. Suppose -7*m = h - 2*m - 24, 2*m = i*h - 12. Suppose -108 = -2*b - h*b. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*h - 297 = -16*h. Calculate the remainder when 95 is divided by h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*y = 4337 + 5313. Suppose -10094 = -5*k + 2*g, -k + 10*g + 2005 = 5*g. Let c = y + k. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the second derivative of b**5\/120 + b**4\/8 + 2*b**3\/9 + 13*b. Factor s(g).\nAnswer: g*(g + 1)*(g + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -193881499*g**3*r**2 + 24*g**3 - 63754*g*r wrt r?\nAnswer: -387762998*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 + 15*i**2 - 14*i + 2. Let y(v) = -v**3 + 7*v**2 - 3*v - 4. Let x be y(6). Let w be c(x). Solve m - w*m + k = -3, 3*k = -5*m + 7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -51\/112 and -37\/8?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -983 - -1047.7. Round v to the nearest integer.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -250 - -253. Suppose -k*n - 23*y = -19*y - 73, y = -4*n + 93. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x - 10. Let p be i(-6). Which is the second smallest value? (a) p (b) 12 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1025, -1993, -2963, -3935?\n\"Answer: -j**2 - 965*j - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + s + s - 18 = 0, 5*s = -3*h - 39. Let a(z) = -7*z**2 - 13*z - 4. Let m(d) = -d**2 - d - 1. Let q(y) = -a(y) + 6*m(y). Give q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 AM and 3:07 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-2) + 754\/65. Which is smaller: n or 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9 - -9.1. Which is greater: 147 or t?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 3 - t**2)*(3*t**2 - 5*t**2 + 4*t**2) - 1 + 1 - 41*t**4 as j*t**2 + v*t**4 + a*t + o*t**3 + d and give v.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 9*i**2 + 16*i + 8. Let y(h) = -6*h**2 - 10*h - 5. Let b(g) = 5*n(g) + 8*y(g). Let s(v) = v**2 - 3*v. Determine b(s(u)).\nAnswer: -3*u**4 + 18*u**3 - 27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0 equal to 33\/350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v - 1. Let z be (8\/32)\/((-1)\/28). Let h(o) be the second derivative of -2*o**3\/3 - o**2 + 5*o. Calculate z*c(n) + 3*h(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00009314 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-46 - 15*z + 46)*(2 - 2 - 1)*(2*z - 1 + 1).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 6*h - 12669*h**2 + 13*h + 12833*h**2 as n*h + u*h**2 + l and give u.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 + 5\/((-10)\/4) + 11. Suppose 3*n = 4*o - 0 + 15, 4*o + 36 = -4*n. Calculate the common denominator of (x\/(-4))\/(-9) - o\/(-10) and 59\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22933793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide 3916512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -24 + 6 - (-14 - -9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 + 8*i**2 - 13*i - 36. Let c be f(-9). Suppose 9*m - 11*m - 126 = c. Let y be ((-108)\/21)\/(6\/m). What is the greatest common divisor of y and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 4*p**2 + 5*p + 53. Let u be y(-4). Suppose -799 = 80*c - u*c. Put -4, c, 1 in descending order.\nAnswer: c, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -6*j + 3. Let y be k(-5). Suppose 5*w + 12*w - 1581 = 0. Suppose -6*a - 27 = -w. What is the greatest common divisor of a and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1614600 and 2007072?\nAnswer: 652298400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 11 = 3*w, -2*y = 2*y - 4. Suppose 4*i = -i - 2*b + 40, -8 = -i + w*b. What is the lowest common multiple of i and (-46)\/(-4) + (-7)\/(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**3 - z**2 - z. Let c be x(2). Suppose -k - 3 = 2. Let r = k - -9. Solve 0 = -3*i, c*w - r - 6 = -5*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 11 + -3 + 1 + -1. Let b be 5*(-3)\/(30\/k). Let m = b + 1. Let l(r) = r**2 + 5*r - 2. What is l(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4*(-179)\/(-2) - (-4 - -5). Suppose 18*m + n = 25*m. Let r = m - 47. Solve 7 = r*l - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 5 + 7. Suppose -p*u + 44 = -67. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4419\/7365)\/(12\/50)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -32*l**2 + 12*l + 9. Let o be j(-10). Let q be 2\/(-10) + o\/(-55). Suppose -q = -9*d + 4*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -55 + 77. What is the least common multiple of n and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 * -923.64\nAnswer: -4618.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -45 + 205. Suppose 4*o = -5*t + 184, -t + 17 = 5*o - 24. Let r = t - 20. Calculate the highest common factor of r and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1162298*q**5 - 278690*q**2.\nAnswer: 69737880*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 + 5*m + 3. Let b = -38 - -33. Let t be f(b). Suppose -145 = -2*d - 5*o, 4*d = -t*o + 5*o + 278. Does 35 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1*8\/32)\/((-7)\/(-24)). What is the third smallest value in y, 1, 3\/2, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 471*x + 4*x**3 - 471*x + x**2 + 1 in the form z*x**2 + s*x + f + w*x**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*s**4\/13 + 466524*s**3\/13 - 1119618*s**2\/13 + 839704*s\/13 - 186600\/13 = 0.\nAnswer: 2\/5, 1, 46650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/1*((-120)\/64)\/15?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.9 - 8.1. Let a = 7 + -12. Let d = q - a. Sort d, 3\/4, 2.\nAnswer: d, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 49 - 36 - (-1 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -269744 > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11011100000111011010 + -101100?\nAnswer: -11011100001000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/u**(-6)*u*u**3)**(-1\/6))**(-1\/36) assuming u is positive.\nAnswer: u**(11\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 + 11*q**2 - 1595*q - 17553. Calculate f(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*x**2)*(-4*x + x + 4*x + (-2*x + 0*x + 0*x)*(-3 + 1 + 4) - x - 2*x + 4*x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 157, -27, 15592 in descending order.\nAnswer: 15592, 157, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 4440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7.09774 - -0.09774. What is the nearest to 16 in 2\/11, -0.1, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) -3\/4 (c) 2\/3 (d) -20 (e) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 25 less than -2376637601821?\nAnswer: -2376637601846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1585 + 1589. Solve -l + s*x - 10 = -x, x - 2 = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**3 - 25752*p**2 - 205424*p + 2160480.\nAnswer: -4*(p - 6)*(p + 14)*(p + 6430)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -146 + 146. Solve h = -5*n - n + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 32320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = r**3 + 4*r**2 - 7*r - 8. Let f be j(-5). Let c(y) = -y**2 + 4*y**2 + f + 9*y**2 + 0. Let z be c(2). Calculate the greatest common factor of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*i - 3*i + 0*i**2 + 13*i + 13*i**2.\nAnswer: 13*i**2 + 30*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 8b17 + -b?\nAnswer: 8b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 33 and 98021?\nAnswer: 294063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 52*j**2. Let b be u(1). Suppose -4*m = 2*m - 24. Suppose -5*x - 3*q - 2*q = -40, -3*x = -m*q - b. What is the highest common divisor of 132 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 divided by -15726690.\nAnswer: -1\/1572669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, k: 4, b: 4, j: 1, m: 1}. Give prob of sequence mb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 - 6*c**2 + 5*c + 6. Let t be a(-7). Let w = -7 + t. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22 - (25 + -1 + -379 + 406)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 5*r = -r, 2*b = -3*r + 61942. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of 0*l**2 + 0*l**3 + 0 + 1\/6*l**4 + 66*l. Let u(z) = -47*z. Determine u(y(g)).\nAnswer: -94*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 877648515 to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 150*y - 292. Let g be x(3). Which is the third smallest value? (a) g (b) -0.3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -51506 + -2013?\nAnswer: -53522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q**2. Let z(m) be the second derivative of -m**5\/30 + 37*m**3\/6 - 34*m. Let r(f) be the second derivative of z(f). What is r(d(g))?\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d + 67. Let o be (25*(-4)\/8)\/((-2)\/4). Let a = 25 - o. What is the units digit of i(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -31*g + 13*g + 54 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1929, -5161, -10555, -18105, -27805, -39649, -53631, -69745?\n\"Answer: q**3 - 1087*q**2 + 22*q - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 - 19. Suppose 27 = v - r, 11 + 31 = v + 4*r. Calculate the greatest common divisor of s and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -0.64961 and 12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/15, -0.29, 2, 5, 7, 0.4.\nAnswer: -0.29, -2\/15, 0.4, 2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -116 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 4 + 3*b - b**3 + 2 + 3*b**2 - 5. Suppose -5*n = 5*u - 10, 22 = 5*n - 4*n + 5*u. Let o(l) = l**3 - 4*l**2 - 4*l - 2. Determine n*o(w) - 4*c(w).\nAnswer: w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_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: What is 1693485 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.557 + -0.223. Let a = k - -1.26. What is a rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1249645 divided by 26.\nAnswer: 1249645\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -980 - 4778 = 240*t + 2642 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be -69 - (3*78\/18 + -9). Which is the closest to o? (a) 0.1 (b) 0.5 (c) -3\/8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4035187 - 4035179 - 4*g**2 + 8070366 + 7*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 + -7. Let p be (6\/(-8))\/(3\/(-48)). Let o = p + -6. Solve -5*t = -5*j + 35, -s*t - 25 = -o*j + 3*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + -1 + (12 - (-16 - -21)) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-2*sqrt(88))\/(sqrt(288)\/sqrt(9)) - (-2 + (3*(sqrt(11) - (1 + sqrt(11))**2) - (sqrt(44) - sqrt(44)*-3))).\nAnswer: 6*sqrt(11) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + 7 + -21 + (13 + -2 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 23071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 4 - l**3 + 4*l**2 + l**2 - 12*l + 9*l**2 - 5. Calculate the smallest common multiple of 12 and c(13).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r = r + 7265. Let z = r - 822. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -225 (base 10) in base 7?\nAnswer: -441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000124726 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 128*l - 9 = -131*l, -3*d - 3*l - 21 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-19 + 4\/(-4)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 90 - 86. Suppose 5 = -w - 5*s, 3*s - i = -0*w - 2*w. Suppose -h + 3*h - 4 = 0. What is the greatest common divisor of h and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -3*l - 39. Let r be w(-16). Solve -2*b - r = 2*i - 1, -5*b + 2*i = 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**2 + 3*u. Let y be c(3). Suppose y = -2*r + 1 + 7. Suppose 17 = 5*q + f - 4*f, 3*q - r*f = 8. Solve q*a + 8 = -0*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w. Let a(k) = 981*k. Determine a(r(x)).\nAnswer: 981*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (-26 + 38 + 39)*(3*f + 0*f - f + (3 - 3 + f)*(0 + 0 + 1) - f + 2 - 2) as v + i*f and give i.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -215595 = 3452*m - 1571 for m.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*t - 30. Suppose -30 = 5*a + 3*f - 2*f, 18 = -3*a + 2*f. Let j be (a\/8)\/(-3) - (-1557)\/12. Calculate the highest common factor of t and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that v**2\/5 + 2878768*v\/5 + 2071826299456\/5 = 0.\nAnswer: -1439384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/43)*h**(-31)\/h)\/((h**(1\/31)\/h)\/(h**(-5\/9)*h)) assuming h is positive.\nAnswer: h**(-367520\/11997)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.57 - 1.5699175. Round j to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7536324451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 8:07 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10110 - -100100?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3503750*-0.3.\nAnswer: 1051125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**2 - 6*n + 15. Let u(h) = -h**3 + 6*h**2 + 4*h - 6. Suppose -2*g + 4 = s, -s - 5*g = s - 8. What is the remainder when u(s) is divided by a(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0.16, -0.3 in ascending order.\nAnswer: -4, -0.3, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:51 PM and 12:45 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81280 is divided by 16243.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 11246 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2 - f + 1. Let k(s) = -s**2 + 8*s + 19. Let b be k(10). Let h(x) be the third derivative of x**5\/30 + x**4\/8 - 2*x**2. Determine b*w(t) - h(t).\nAnswer: -t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Add together -103.95 and 61275643.\nAnswer: 61275539.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 391259936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p be (62\/10)\/(1\/1). Let b = p + 26\/5. What is the common denominator of b and -10\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the third derivative of 0*f - 1\/18*f**6 - 8\/45*f**5 + 7*f**2 - 2\/9*f**4 + 0 - 2\/315*f**7 + 0*f**3. Factor j(b).\nAnswer: -4*b*(b + 1)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4806934 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 - 2 = m. Let g = 48 - m. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/9)\/y)\/y**4*(y\/y**4)\/(y\/(y\/(y**(2\/17)\/y))) assuming y is positive.\nAnswer: y**(-1123\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 77088 and 880.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6.295 + 2.295. Which is the nearest to 0? (a) -8.7 (b) -0.1 (c) j (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (20\/(-12))\/((-6)\/(-52)). Let f = 653\/45 + n. Let u = f + 31\/210. Do u and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of ((-810)\/75)\/((-43)\/20 - -2) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of -4\/45*b**5 + 4\/9*b**2 + 8\/27*b**3 + 1\/27*b**6 - 1\/6*b**4 - 22 + 0*b. Factor i(q).\nAnswer: 2*q*(q - 2)**2*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from npbb. Give prob of sequence nn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1310 - -2095. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 - -24.1.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19 - -29. Let h be 8\/6*165\/j. What is the greatest common factor of 33 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-26) + (-945)\/(-455). Suppose z + 9 + 12 = k*a, -5*a - 2*z = -75. Solve 2*r = 2*g, 3*g - a - 2 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37973 + 26*m - 37962 + 75934.\nAnswer: 26*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - o - o + 4*o - 5 + o + 5 + (1 - 3 + 1)*(-4 + 2*o + 4) + 0*o + 0*o - 2*o - 2*o + 3 - 3)*(-3*o**2 + 2*o - 2*o).\nAnswer: 9*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -217 = -3*p - f, -p + 4*f - 19 + 100 = 0. Suppose -p - 2 = -3*b. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/418 and 1\/76?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 156*r - 6 = 159*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 1 + 3)*(-3*j**2 + 4*j**3 + 3*j**2) + j**3 - 8*j**3 - 10*j**3 to i*j + x + b*j**3 + m*j**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 12*h**2 + 2*h + 7. Let o(y) = 11*y**2 + y + 6. Let t(a) = -6*f(a) + 7*o(a). Calculate the smallest common multiple of t(2) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = 2*t. Suppose -2*v + 5*w - 44 = -6*v, -4*v - 2*w + 56 = t. Let b be -2 - -3 - (-1 - 0). Solve 0 = b*l - 8, -l = 2*r + 2*l - v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.001 + -287.999. Let d = s - -288.99395. What is d rounded to 4 dps?\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24, 59, 102, 153?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**3 + 10*r**2 - r - 14. Let z(m) = -3*m**3 + 29*m**2 - 4*m - 43. Let v(c) = -21*a(c) + 6*z(c). Let v(n) = 0. What is n?\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 8488, 15777, 23066?\n\"Answer: 7289*o + 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 36129 or 36131?\nAnswer: 36131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 12.6 take away -8.6?\nAnswer: 21.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -10*m. Let b(a) = a**2 + 1. Let g(y) = y**2 + 1. Let r(k) = -5*b(k) + 4*g(k). Let o(d) be the first derivative of r(d). What is o(w(i))?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes before 9:04 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) be the second derivative of -5*j**3\/6 + 13*j**2\/2 - 3251*j. Determine w(8).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5\/183095611 or 0?\nAnswer: 5\/183095611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*l + 3*l - 2*l)*(2*l - 4*l + 3*l + (-2*l + 4*l - l)*(0 + 0 + 2) + (1 + 2 - 1)*(l + 0 + 0) - 3 - l + 3).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 2*w**3 - w**2. Let j(b) = -3*b**3 + 12*b**2 + 4*b + 28. Let c(n) = -j(n) - 2*x(n). Give c(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.83 - 0.17. Let h = 0.12 - -3.08. Let l = h + k. Put l, -3, -0.3 in descending order.\nAnswer: l, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -4*r**2 - 131*r - 775. Suppose -15 = -2*m + 5. What is the least common multiple of m and o(-8)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*d = -10*d. Let v be 18\/(d - 9\/6). Does 13 divide (-6)\/v*((-2 - -1) + 495)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 276 - 48 = -38*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9721097 or -9721094?\nAnswer: -9721097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out -65322827.6 + 305.\nAnswer: -65322522.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2964 and 195?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*v, -4*f + 628 = -5*v - 420. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*w = -10*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 3*g + 2 + 2, 8 = 5*q - 3*g. Suppose -4*m - 2*l = -16, 9 + 5 = -m - 5*l. Solve 4*i - 4 = -q*y, -3*i + 1 + m = 4*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.6308 - -828.7308. What is n rounded to the nearest 10?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**2 + 333*g - 245. Give l(6).\nAnswer: 1789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3864250 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 3*j - 7. Let r(i) = 29. Let z(f) = -34. Let o(x) = 7*r(x) + 6*z(x). Give 14*o(k) - 2*v(k).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 3*k = 40. Let y = k - 15. Let r(u) = -u**2 - 3*u. Calculate r(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 13178765 and -2?\nAnswer: -26357530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the third derivative of m**4\/24 + m**3\/6 + 4*m**2. Calculate the remainder when 22 is divided by h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = o - 11*a, -o - 25*a = 26*a - 80*a + 28*a - 21 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 8*l**2 - 562*l - 367. Calculate t(70).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of 0 + 0*z**5 - 3*z - 1\/24*z**4 + 1\/60*z**6 + 0*z**3 + 0*z**2. Suppose l(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*b - d = -49*b - 362367, -3*d + 543552 = 3*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 34512889, 69025777, 103538665, 138051553, 172564441, 207077329?\n\"Answer: 34512888*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49 + 3613*w - 7213*w + 49 + 3590*w.\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = d**3 + 14*d**2 + 14545*d + 145044. Calculate g(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 0 + (16 + -9 - -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i + 23880690. Let z(p) = 25*p. Determine z(d(b)).\nAnswer: 25*b + 597017250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 321538*d - 3 + 0*d**3 + 2*d**3 + 321538*d.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -83 - -87. Solve 0 = 4*d - 0 + h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand q**2 - 6*q**2 + q**3 + 8*q**5 + 3*q**2 + (0*q**2 - 3*q**2 + 2*q**2)*(-5*q**3 + 9 - 9).\nAnswer: 13*q**5 + q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 64 = 5*l, -35 = -l - 2*l + 4*y. Suppose r + q = 6*r + l, r = 4*q - 14. Is 0.4 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.3 less than -0.051097?\nAnswer: -1.351097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -83.1 + 1212\nAnswer: 1128.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 129635 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 435 - 382. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04051233 times 4?\nAnswer: 0.16204932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 15*d - 5*d + 4*d**2 + d**3 - 10*d + 2 in the form g*d + y*d**2 + v + h*d**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (22\/(-8))\/(2\/8). Let l(s) = -s - 6. Calculate the smallest common multiple of l(w) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -5 - 2*q + 10 + q. Let d be m(6). Is -1 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 - 6)*(3 + 4 - 5)*(3*g**3 - 3*g**3 + 2*g**3).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33007, -66401, -99799, -133201, -166607, -200017?\nAnswer: -233431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j - 0 - 21. Let o be ((-235)\/188)\/(30\/(-16)). Which is the closest to -2\/5? (a) j (b) o (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -139, 14, 146, -4 in descending order.\nAnswer: 146, 14, -1\/2, -4, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 400 + -400. Suppose -302*x + 300*x + 80 = c. What is the remainder when x is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a + d3b893?\nAnswer: d3b89d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - 70\/25 - (-1 - -5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 71\/4 of a millimeter?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(4\/5)*j\/j**(1\/9))\/(j**(-5))**(2\/43) assuming j is positive.\nAnswer: j**(3718\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 60 at most 132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-10 + 21)\/(1 + 0). Suppose 22*f - 36 = 13*f. Let u be (-4)\/16 - l*(-23)\/f. Calculate the highest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 - 19*v + 16. Give l(-15).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 249683219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let b = 1248 - 1248.5. Suppose 12 = -2*u - u. What is the closest to 1 in u, 1\/5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 59.5129l?\nAnswer: 59512.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*t + 10*t**2 - 1065*t**4 + 4*t + 2*t**3 + 1061*t**4 + t + 1 to a + u*t + v*t**2 + g*t**4 + y*t**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2580*z**2 - 2545*z**2 + 5127*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (1279 - 2568 + 1269 + 9*y)*(-5 + 13 + 5).\nAnswer: 117*y - 260","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 16) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is d in 2*d**2\/15 - 332*d\/15 + 13778\/15 = 0?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -65, -207, -435, -743, -1125, -1575?\n\"Answer: a**3 - 49*a**2 - 2*a - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-368)\/92 - (5\/10)\/((-22)\/192).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 12 + -22. Let w = f - -6. Let r be ((-1)\/w)\/(3\/(-4)). Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59122 is divided by 3284.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 4. Let i(k) = 7*k + 25. Let x(u) = -i(u) + 5*y(u). Let h(p) = 10*p + 7. Give 5*h(r) + 7*x(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01233982726 rounded to six dps?\nAnswer: -0.01234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -3*(-1 + sqrt(320))**2 + -3*(sqrt(720) - (1*sqrt(720))**2 - sqrt(720)) + 4.\nAnswer: 48*sqrt(5) + 1197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 997, 5, -26, -4, 1 in decreasing order.\nAnswer: 997, 5, 1, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -83*p**2 + 32*p**2 - 7*p + 52*p**2 - 171. Let h be k(-10). Let o be 0\/(-1) + 8\/(-10). Which is the nearest to h? (a) -0.3 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7076, 14151, 21228, 28307, 35388?\nAnswer: 42471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3 + 36\/(-16) - (1 - 1). Which is the nearest to -0.3? (a) -1 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -14a0b1 (base 12) to base 6\nAnswer: -11252341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -a9a01a (base 16) to base 10.\nAnswer: -11116570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.66? (a) -10 (b) 1 (c) -0.5 (d) 4 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 108 and 302394276?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is ((-15)\/(-12) - 1) + 39762\/24 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -642 + 794. Let b = v - 147. Solve -3*o = b*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qznnnqqnn. Give prob of picking 1 z and 3 n.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 2*d - 28. Let c be s(19). What is the third derivative of 61 + 4*m**3 - c*m**2 - 61 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*l = -34*l - 492. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.3 - 0.3. Suppose -2 = -6*o - 8. What is the second smallest value in y, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 513 and 4218?\nAnswer: 37962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 207419 is divided by 103705.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 + t**2 - t + 1. Let j(q) = -2*q**3 + 15*q**2 - q + 36. Let w(k) = -h(k) - j(k). Determine w(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 615479\nAnswer: 4\/615479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13184 - 13182. Let n be 17\/(-4) + (-4)\/(-16). Which is the closest to 0? (a) n (b) i (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -816*f = -694*f - 2928 for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times 62?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 4*a - 3*a - 2*a - a - 760 - 1020 as m + i*a and give m.\nAnswer: -1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3668 - 3673. Which is the biggest value? (a) f (b) -1 (c) -10.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 281942039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 40933\/7 + -5847. What is the closest to c in -1, 3, -4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 77 = n, -110 = -5*l - 2*n + 4*n. What is the smallest common multiple of l and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.043 + -1.957. Which is the nearest to o? (a) -5 (b) 2\/3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 952811674 to the power of 1\/2, to the nearest integer?\nAnswer: 30868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n be 10\/((-40)\/(-8))*(-4164)\/(-4). Let k = n + -420. List the prime factors of k.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -903188 = -20773310\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(204) - (5*sqrt(204) - sqrt(204))*-4)\/(sqrt(72)\/sqrt(96)).\nAnswer: 340*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k + 4. Let b be d(7). Let s = b + -18. Solve -c + 3 - 7 = s for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 577597 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3534017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -2305 minus 122?\nAnswer: -2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 534855, 2138954, 4812453, 8555352?\nAnswer: 13367651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -edb59 (base 15) in base 2?\nAnswer: -10111000010111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = b**3 + 1. Let a(k) = -10*k**3 + 16*k**3 + 0*k + 3 + 0*k. Let j(v) = a(v) - 4*z(v). Differentiate j(o) wrt o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (99\/(-66) + 0)*1260\/(-162)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2282499 to the power of 1\/2, to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 26501253699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-78)\/4)\/((-23)\/(-155664)*-8)?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*g**2*r**2*t - g**2*r*t - 7*g**2*t - 40*g*r - 2*r**2 + 2*r*t wrt g.\nAnswer: 4*r**2*t - 2*r*t - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 4 = -0. Let a be (o\/8 - 0)*2. Put a, -3, -5, 4 in decreasing order.\nAnswer: 4, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in -0.255, -1, 4, -1\/2, -3?\nAnswer: -0.255","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 49*z**2 - 3*z - 3. Let o = 410 - 369. Calculate the remainder when g(-2) is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1744.941km?\nAnswer: 174494100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3173 - 5776*t**4 - 1648250*t**3 + 824124*t**3 + 824126*t**3 + 2*t wrt t.\nAnswer: -69312*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37300*z = 37322*z + 572 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -13 + 11. Which is the second biggest value? (a) d (b) -1\/13 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.3 (b) 0.8 (c) 109 (d) -4 (e) 2\/7 (f) 3\/5 (g) 49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 14470176 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 347346 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: Let h(j) = j**2 - j - 6. Suppose 0 = g - 5*i + 10, 3*i - 1 = 5*g + 5. Let v be h(g). Let y be (9\/(-2))\/(3\/v). Solve u + 4*s - y = 0, -2*s = -2*u - s - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 5*j + 10 = -0*o, 4*o + 4*j = 8. Suppose 8*h + 0*h - 4*h = o. Let f be 2 + (-4)\/((-4)\/2). Solve h = -f*t - t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 24 (b) 177\/7 (c) -0.2 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -3019128 by -28.\nAnswer: 107826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {m: 7, e: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3307852 or 3307851?\nAnswer: 3307852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-5)\/(p\/(p*p**31*p)) assuming p is positive.\nAnswer: p**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - 2*o - 15 + 33 = 0, 5*z - 10 = 2*o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -7*j + 8. Let w be (-11 - -1)*(-15)\/6. Let z = w + -21. Let b = -5 + z. Let f(o) = -o + 1. Determine b*r(x) + 6*f(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 125334*l**3 - 215074*l wrt l?\nAnswer: 752004*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 54.4615 hours in nanoseconds?\nAnswer: 196061400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176 - 202 - 464 = -98*b. Solve 3*f - b*j - 7 = 0, 63 - 59 = -2*j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + -2. Let a(v) be the second derivative of -1\/3*v**3 - 6*v + 1\/2*v**2 + 0. What is a(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of u**2*x**3 + 103*u**2*x - 6*u*x**2 - 2*u*x - 16*x**4 wrt x.\nAnswer: 6*u**2*x - 12*u - 192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10338522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 + 2*u + 2. Let h be r(-3). Suppose -49 + 9 = -h*n. Let d = -5 + n. Solve 3 = 3*y - d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000387642496 to 5 dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 43834, 87666, 131498, 175330, 219162, 262994?\nAnswer: 306826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - k - 1426, -36*k = 3*n - 38*k - 857. What are the prime factors of n?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -4438*w**4 - 3*w**3 + w**2 + 3939*w + 1. Let r(d) = -d**4 + 3*d**3 - d**2 - d - 1. Let g(o) = l(o) + r(o). Find the second derivative of g(y) wrt y.\nAnswer: -53268*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100111001101001000011101 - 110?\nAnswer: 100111001101001000010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -28a65 (base 15) to base 2\nAnswer: -11111111000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -133580*u + 248 = -28*i - 133582*u, 20 = -2*i + u for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91180?\nAnswer: 2, 5, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1037432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -72\/341?\nAnswer: -72\/341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 15713 a factor of 4962673437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000025594 to seven dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 23 + -22. Which is the closest to 2\/7? (a) -2 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q**3 - 19*q**2 + 10*q + 10. Let g(p) = 3*p**3 - 28*p**2 + 15*p + 15. Suppose -c = -6*c - 35. Let t(y) = c*d(y) + 5*g(y). Let k be t(6). Is -2 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 519152 and 17780956?\nAnswer: 71123824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4470704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the first derivative of 1651*f**6\/2 - f**2 - 6186*f + 3702. What is the second derivative of l(r) wrt r?\nAnswer: 99060*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-s + 7*s - 3*s)*(0*s + 0*s + 5*s) + 48*s**2 + 32*s**2 - 32*s**2.\nAnswer: 63*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(-63)*-3 + (-4)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 2510, 10059, 22642, 40259, 62910, 90595?\n\"Answer: 2517*i**2 - 2*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:01 PM and 6:17 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 890 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 33543 - 33543.000059828. Round g to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) be the second derivative of 13*c**3\/2 - c**2\/2 + 4*c + 7. Give x(-1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-75)\/(-126) + 1 + (-260)\/280 + (-14)\/(-9).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24 + 21. What is the units digit of (-2)\/p + ((-232)\/3)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the second derivative of -7*v**4\/6 - 11*v**3\/3 + 11*v**2 + 11267*v. Let h(t) = -t**2 - t + 1. Calculate -132*h(p) + 6*u(p).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 340*s - 3. Let l(n) = -397*n. Let u(p) = -6*l(p) - 7*v(p). Let i(b) = -3*b - 31. Calculate -5*i(g) - 7*u(g).\nAnswer: g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 25188680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = -549 - -558. Let x be r\/((-450)\/20) - 4\/(-10). Solve x = z - 6*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*g + 47*g + 3535 = -464*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*c + 2*j + 6, -3*c + 5*j - 70467 = -70454 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d = 1586*g - 1583*g - 3, -3*d = 5*g - 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -9, 4, -78 in decreasing order.\nAnswer: 12, 4, -9, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q - 5. Let m be x(-7). Which is the closest to -2? (a) -3 (b) m (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1929480 to the nearest ten thousand.\nAnswer: 1930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 5 - 8 + 305*l**2 + 2 + 4.\nAnswer: 305*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w + 2*d - 2972, -15*w - 1768 = -18*w - 5*d. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 112 divide 81199055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 - 8*h + 14. Let v be k(4). Let d(p) = -6*p + 3. Let l be d(v). Suppose -408 = 11*n - l*n. List the prime factors of n.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, 1171, 19, -2, 2 in ascending order.\nAnswer: -4, -2, -1, 2, 19, 1171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 19, p: 1}. Give prob of sequence pjjp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are -16\/331 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 87490062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9628 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 + 10*l**2 - 19*l - 10. Let q be z(7). Which is the closest to 2\/5? (a) 53 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -0.4 (c) -0.1617 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2.7 (b) -0.2 (c) 0.3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -967 = -8*i - 919. What are the prime factors of -6 + 19278\/24 + i\/8?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -1) + -43 - (-172 + 93 + 72).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 3) + -12 - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fpqpmq. What is prob of picking 2 p, 1 m, and 1 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.5 - -0.5. Let u = o + 1.1. Let f = 0.02 + 0.08. Which is the nearest to f? (a) u (b) -2\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 8786 = 2*j - 14792, 2*a - 5*j = 11807. List the prime factors of a.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q + 1. Let g be j(1). Suppose 4*m + 0*m + 4*i - 16 = 0, -3*i + 16 = -m. Let w be -6*m\/3*1. Is g bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 2 + 10. Suppose -a*q + 6 = -3. Let m(r) = 0 + q + 1 - 2. Let w(n) = n - 1. Calculate m(j) + 2*w(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2329, 4658, 6987, 9316?\nAnswer: 11645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -76*s**4*y + s**2*y**2 - 7*s**2*y + 26*s*y + 54*y**2 + 5*y wrt s?\nAnswer: -912*s**2*y + 2*y**2 - 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 127 divide 31889468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-34 - 39 + 60)*(2 + 1 - 2)*(24*j**3 - 8*j**2 - 10*j**3 - 13*j**3).\nAnswer: -13*j**3 + 104*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -26.5 and 6696.\nAnswer: -177444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 4839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 39 and 3?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*w**3 + 39*w**3 + 0*w**3 - 75*w**3.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 104 and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be -7*1\/((-2)\/2). Let u(k) = -15*k + 50. Let v(p) = -3*p + 10. Let z(l) = 2*u(l) - 11*v(l). Calculate the remainder when 32 is divided by z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 240.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1294 a factor of 1270708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**3 + 14*t**2 - 9*t - 5. Calculate the remainder when d(13) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 46844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 57a3 (base 16) in base 11?\nAnswer: 15946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 16\/(1 + -3)*14\/(-28). Let z(g) = 7*g + 3*g + 10*g + 2 - g**2 - 19*g. Determine z(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**2\/(y\/(y*y\/(y*y**(-12))*y)))**16 assuming y is positive.\nAnswer: y**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 5*w, -3*g - 4*w = -g - 20. Suppose -g*f = 3 - 81. Suppose -2*t - 17 = -f. Let i(y) = -8*y + 2. Determine i(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*v + 1750 - 1724. Let z be (12\/(-10))\/(1\/5). What is the tens digit of z\/((-72)\/356) + v\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, 2.2, 2\/11, 3 in increasing order.\nAnswer: 2\/11, 0.5, 2.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -3*-766\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -398, 7, -471 in decreasing order.\nAnswer: 7, -398, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (3 + 0 + ((sqrt(112) + 0)**2 - -2*sqrt(567)) - (sqrt(343) + (sqrt(343) + 0 + sqrt(343) + 0)**2 + (sqrt(343) - ((1*sqrt(343))**2 + 0)))*-5).\nAnswer: 88*sqrt(7) + 5263","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1173837 is divided by 219?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 - 11*m**2 - m + 7. Suppose -8 = -5*c + 12. What is the lowest common multiple of k(-11) and c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/(-10)*1*-20. Let f(x) = 4*x**3 + 9*x**3 - 2*x**2 + 10*x + 9*x**2 - 7 - 14*x**3. List the prime factors of f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:11 AM and 9:03 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -665869 - -666196.329. Let f = -0.329 + c. Let g = 328.71 - f. What is g rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 831725118?\nAnswer: 2, 3, 7, 61, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 3*r - 7. Let f be x(10). Suppose f*c - 13*c = 0. Solve c = -12*a + 7*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2704301*f**2 - 66*f + 10450?\nAnswer: -5408602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the second derivative of 0*h**3 - 5\/56*h**8 + 0 + 0*h**7 + 0*h**6 + 0*h**5 + 0*h**2 - 3\/2*h**4 - 22*h. What is the third derivative of k(v) wrt v?\nAnswer: -600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4\/7 or 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 2806 = -2809 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -2 + 1 - 2 - s + 0. Let b be o(-6). Let n = 11 - b. Solve 0 = -5*j + n + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 403*a - 398*a + 3*x + 561509 = 0, -a - 5*x - 112315 = 0. What is a rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -1115*d**3 - 12*d**2 - 26*d - 3. Is 81 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 - o**2 + 5. Let m be w(0). Suppose 4*k - 23 = 5*f, m*k + f = -0*f + 7. Suppose k*y + 37 = 4*y - 3*l, -2*l = -2. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r + 6. Let x = -195 - -200. Let o(c) = 2*c + 7. What is x*l(v) - 4*o(v)?\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, o: 4, u: 4, a: 1, n: 5, e: 4}. Give prob of picking 1 j, 1 a, 1 o, and 1 n.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.762 and -0.13?\nAnswer: 0.09906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, i: 1, p: 1, m: 2}. What is prob of sequence mpi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/2, 0.4, -1\/6, 78, 2\/15, 292 in decreasing order.\nAnswer: 292, 78, 5\/2, 0.4, 2\/15, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -8*x**2 + 161*x + 160. Determine f(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.228 - 383.928. Let l = a - -409. Let z = 36 - l. What is z rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -35 - 85 - 71*u**2 - 4*u - 3*u - u**3 + 118 - 615*u**4 wrt u.\nAnswer: -14760*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8467\/364 - 1\/91. Calculate the common denominator of h and 6\/(1152\/357) + -2.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + (sqrt(35)\/sqrt(5) - sqrt(7)) + 5 + (sqrt(63)\/(-2*sqrt(9)) + sqrt(7) + sqrt(7) - 4*(0 + sqrt(7))))*-6)**2.\nAnswer: -180*sqrt(7) + 1611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -r**3 + 32*r**2 + 104*r + 31. Give a(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -237*w + 226*w + 506*w - 8 + 645*w. What are the prime factors of n(1)?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3775 + 4018. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 402026 - 5?\nAnswer: 402021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5 + -2 - -135 - (7 + -10). Suppose -2*u + g = 93. Calculate the remainder when 116 is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2343.\nAnswer: 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (y + 3*y - 2*y)*(y + 4*y - 7*y) + 0*y**2 + 0*y**2 - 2*y**2 - 94*y**2 + 0*y + 188*y**2 + 0*y + (-2*y + 5*y - 5*y)*(3*y + 2*y - 2*y).\nAnswer: 82*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of 32\/3*u**2 + 32\/3*u + 3\/4*u**4 - 47 + 14\/3*u**3. Factor w(k).\nAnswer: (k + 2)*(3*k + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**3 - g**2 - 2. Let l be f(-2). Let d = 3.02 + -0.02. Which is the closest to d? (a) l (b) -1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45.8 less than 0.033?\nAnswer: -45.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 70 = 4*p, 217 = 5*k + 17*p - 14*p. What is the remainder when 5780 is divided by k?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -64 - -130. Let k = p + -64.242. What is k rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = 2 + 4, -w + 5*z = -17. Suppose -5*v - w*p + 45 + 10 = 0, v + 3*p = -2. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*w + 37198 + 4214 = 0. Is w a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -153*w - 554. What is a(3)?\nAnswer: -1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14766 is divided by 542.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -33, -248, 39?\nAnswer: -248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9 is divided by (-5)\/(-7)*4*(-42)\/(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -998\/21 + 839\/7. Let l = -71 + m. Put -0.4, 1\/3, l in increasing order.\nAnswer: -0.4, 1\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 0+-287366.903\nAnswer: -287366.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -6, 33, -1, 89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -215, -430, -645, -860?\n\"Answer: -215*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 31386317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v. Let r(u) = 6*u + 4. Let b(p) = 13*p + 9. Let g(o) = 4*b(o) - 9*r(o). Calculate -2*g(f) + 3*x(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*l - 14*l - 2 = -2*n, 5*n + l - 22 = 0. Let d(m) = 2*m**2 - 6*m + 6. Calculate d(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (-4 - 0)*(6 + 138\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -34030313 (base 5) to base 13.\nAnswer: -a6032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q. Let h(s) = -2*s**2 + 6*s - 1. Determine 5*f(a) - h(a).\nAnswer: 2*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 9689100 to the power of 1\/2, to the nearest integer?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 31, 67, 115, 175, 247, 331?\n\"Answer: 6*b**2 + 18*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, w: 2, p: 1, r: 1}. Give prob of picking 1 k and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2a + -1e5?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-8)\/(-1)*18\/24. Let c(y) = 32*y - 7. Is c(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**5 - 100*s**4 - 280*s**3 + 1120*s**2 + 4240*s + 3520.\nAnswer: 5*(s - 22)*(s - 4)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange m**4 - m**3 - 104*m - 1 + 104*m to the form g + x*m**3 + l*m**4 + u*m**2 + p*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6113 - 27927\/5. Is 527 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -747 - -748. Let s be 320*(-9)\/(-78) + -1. Let g = -36 + s. Is d greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*b + 19 = 7. What is the units digit of b*(1 - 7\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2 + 3*(-3)\/9. Let r be g\/(-4*5\/(-980)). Suppose 0*d + 5*a - r = -2*d, -2*d + 39 = 3*a. Calculate the least common multiple of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 320 and 192?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 207 - 167 = 2*t. Suppose -4*z - 5 = -p - 0*z, -15 = -3*p - 5*z. Solve t = 3*s + p*b, 0*s - 3*s - 8 = -2*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1900452 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 317467.\nAnswer: 167, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 117 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*w**4 + 37069490*w**3 + 91609855349940*w**2 + 75465328394750866200*w + 301859847823690311840.\nAnswer: 5*(w + 4)*(w + 2471298)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7308237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -21 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 294.58296 minutes to hours.\nAnswer: 4.909716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 22*v**3 - 38*v**2 - 14*v + 26. Give n(5).\nAnswer: 1756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 68, 67, 54, 23, -32, -117?\n\"Answer: -y**3 + 6*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 6*w**2 + 26 + 4*w + 6*w - 4*w - 8*w. Is v(5) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 23100589\/168 + -137503. Let z = q + -8\/21. Sort 4, z, 5.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-54) + ((-20)\/(-3))\/((-12240)\/13056).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 37 + -33. Suppose -2*z + 12 = -m*q, q + 0*q = 2*z. Let r(f) = 1. Let o(h) = -h + 3. What is z*o(a) + 7*r(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -23.59323 rounded to two decimal places?\nAnswer: -23.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.305360164 - -0.50711.\nAnswer: 0.201749836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.17, -0.5, -1\/5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -5 * 0.044\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) be the third derivative of 1\/12*p**4 - p**2 - 1\/30*p**5 + 0*p**3 + 0*p + 0. Find the second derivative of f(r) wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 179\/102 + -3\/34. Which is the third biggest value? (a) 4 (b) u (c) 1\/2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o + 14 = -x + 2*x, -o + 4*x + 2309 - 2323 = -6*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 2)*(2*w + 0*w - 5*w)*(1 - 1 + 2) + 2*w + 2*w + 2*w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5084 + -2581. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31385 divided by -1194?\nAnswer: 31385\/1194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (36\/(-21))\/((-21)\/6468). Suppose 13*x = 9*x + h. What is the lowest common multiple of 4 and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 186724 + -187633.81. Let m = -914 - t. Let r = -0.19 - m. What is the nearest to 3 in 2\/7, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4\/11, 1, 1\/3, -2, -2\/5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 43462 - 21284. Does 64 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -98 + (6 - (-8 + 5) - (49 + -29))?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 72 - 5052*z**3 + 65 - 206 + 69.\nAnswer: -5052*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1897232616 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 52.9305 + -0.0305. Let x = -52.89999433 + p. What is x rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 638 - 1470 = 26*m for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) -105 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.09375083 to 3 decimal places.\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/2)\/((-21)\/56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1524 and 12?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 52 - 99. Let h = 159 + g. Calculate the greatest common divisor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, 4\/3, -3, -9\/20, -0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 65 = -35*c + 22*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 61 + -0.9?\nAnswer: 60.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.01 + -0.51. Let v = -937\/8 + 117. Let q = v + 11\/24. Put q, s, 3\/4 in descending order.\nAnswer: 3\/4, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 - 3*k. Let u(i) = 5*i**3 + i**2 + 16*i. Let t = 6 + 5. Give t*o(a) + 2*u(a).\nAnswer: -a**3 + 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - 13. Let v = z + 8.0048. Round v to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x + 5*s + 148, 0 = 3*x + 5*s - 113 + 557. Let l = 342 + x. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 90 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 8 (base 9) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 158032 or 157612?\nAnswer: 158032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -101*l + 154*l - 4955 + 691*l + 2479 + 2476.\nAnswer: 744*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -43 - -71. Suppose m - z = -m. What is the highest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -22608456 divided by 7536152\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -105, -3, 7.6492.\nAnswer: -105, -3, 7.6492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -40 + 38. Which is the second biggest value? (a) j (b) -1\/4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20477 (base 16) to base 12.\nAnswer: 6461b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 2*s - 3*b, -s - b - 4*b - 27 = 0. Let c = 3 - s. Calculate the smallest common multiple of c and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28 - (-20 - -11)) + 36 - -21.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 4 + -1 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-3))**(-19\/2) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2912 and 115808.\nAnswer: 1505504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33 + 1823 = -2*i. Let a = 1357 + i. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.8, 2, -3, 3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.028 - 0.028. What is the closest to o in 21, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 805542430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + (-6)\/(2\/(-1)). Let n = -0.3519 - -0.1011. Let f = -0.0492 + n. Put f, -4, -2, o in decreasing order.\nAnswer: o, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + a + 28 = -4*a, 2*i = 4*a + 20. Suppose -9*l = -35 + 8. Calculate the remainder when i is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + -3 + -2*sqrt(720)*-1*-5 + 1 + 4)**2.\nAnswer: -1440*sqrt(5) + 72036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.053 and 0.021.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-2))**(2\/29))**(-10\/11)\/(j**(-2)*(j\/j**(1\/3))\/j*(j**2*j)\/j**(-4\/7)) assuming j is positive.\nAnswer: j**(-7454\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r - 790 = -42*r + 5*r + 85 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Express -28 + 123 + 71 - 1 - 506*h**2 + 502*h**2 as z*h**2 + f + y*h and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -672*k + 676*k = -3*t + 14, 0 = 3*k - 9*t + 57 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 6\/1037, 0, 2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -185*p - 4*m - 947 = -188*p, 0 = -5*m - 25. What is the smallest common multiple of (-3 - -4) + (1 - -1) and p?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 1283*g + 2. Let a(u) = -6*u. Calculate j(a(i)).\nAnswer: -7698*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is ((-45)\/(-25))\/(1\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (n - 2*n - n)*(2*n + n - 2*n)*(4 - 5 + 0 + (3 - 1 + 0)*(4 - 3 - 3) - 4 + 4 - 1) + n**2 - 3 + 3 as w*n + j*n**2 + a and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes before 11:10 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/((-40)\/(-70))*10\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -9 by 52.\nAnswer: -9\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -n**6\/9 - 2*n**5\/5 - n**4\/3 + 4*n**3\/9 + n**2 + 2*n\/3 + 19. Suppose b(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1397008?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r - 0*r - 9. Let u(i) be the second derivative of 1\/2*i**3 - 1\/12*i**4 - i**2 - r*i + 0. Factor u(x).\nAnswer: -(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -c*g**2 - 4*c*g + 35*c - 94*g**2 - 2 with respect to g.\nAnswer: -2*c*g - 4*c - 188*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes after 4:19 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 84*v - 410. Let z be l(5). Let n(y) be the third derivative of -1\/2*y**3 + 0*y + 1\/12*y**4 + 0 - z*y**2. Find the first derivative of n(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0005099 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41941\/1062 - 4\/531. Calculate the common denominator of t and -47\/46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s**4\/3 + 4*s**3 - 8*s**2\/3 - 16*s - 32\/3 = 0. What is s?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 166212?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 118, -5, 2 in decreasing order.\nAnswer: 118, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gooooogggawogosoogo. Give prob of sequence oag.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 17265071 (base 8) in base 3?\nAnswer: 21120111002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*t - 2*t - 7*t - 2*t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 611 (base 8) in base 4?\nAnswer: 12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -2*g**2 + 14*g - 12. Let p be k(6). Suppose n + 5*u = -p*n + 80, 4*u = 4. What is the remainder when n is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -35786 not equal to -35788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(8\/(-145))*8\/10. Let i = q + 12. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = 6, 4*y = 20*v - 17*v + 1242. Is -6 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.036649 times 5?\nAnswer: -0.183245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*p - 4*p + 5*s + 20, -4*s - 16 = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 7) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*c + c + 4*c + 5*u = -70, -3*c + 67295*u - 67290*u = -14 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m - f - 37, -5*f - 16 = -3*m + 16. Suppose -z + 3*r + 337 = 0, 11*r = m*r. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1773 - -1225. What is q rounded to the nearest ten?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -35\/12 and -19\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 + 3 + (5 - (23 + -13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -196305 = -23*k - 196903 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 + 3. Let w be ((-16)\/v + -2)\/2. Sort w, 0.1, -1.\nAnswer: w, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -2 + sqrt(12)\/(sqrt(64)\/sqrt(4)) + 1 + sqrt(12) + (sqrt(36)\/sqrt(3))\/sqrt(4) + -3)**2.\nAnswer: -63*sqrt(3) + 471\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 68*c**2*n - 619828*c**2 - 109*c*n + 12*n with respect to n.\nAnswer: 68*c**2 - 109*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 427, -5, 50, -2, -3 in descending order.\nAnswer: 427, 50, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4 - 16*j**3 + 14*j**2.\nAnswer: 2*j**2*(j - 7)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6496 greater than 6484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/18 + 6018\/1593. Solve j - 1 = -q*h - 6, -3*h = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8234837 to the power of 1\/2, to the nearest integer?\nAnswer: 2870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 725813608 at most as big as 725813607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 27\/1298 (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 - 7. Let j(p) = -6*p**2 + 43*p + 12. Let g(z) = 13*z**2 - 100*z - 23. Let b(i) = -3*g(i) - 7*j(i). Give 2*b(h) - 5*k(h).\nAnswer: h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 51 - (9 - -36) - (-1 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -87*s - 1953 - 135. Put -4, s, 2, 4, 0 in ascending order.\nAnswer: s, -4, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 0.2, -177, -3 in decreasing order.\nAnswer: 0.2, -2, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a + 8 = 2*j + 1, 4*j = 4*a - 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -2737, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 21*y + 15. Let t(j) = -1. Let q(f) = g(f) - 2*t(f). Differentiate q(m) wrt m.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 83\/2000 and 7\/440?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -247*o - 2 - 184*o + 972*o - 15*o + 1115*o to p*o + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -171*h = -162*h - 738. Suppose 0 = 2*i - i - 21. Calculate the remainder when h is divided by i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/2)\/(6*2\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 97969.63 kilograms?\nAnswer: 97969630000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 78*i**2 - 11*i - 14 + i**3 - 6*i - 26*i**2 - 34*i**2. Let c be n(-19). Does 8 divide 2 + -4 - c - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42729847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 191901\/7 - 27415. Which is the nearest to -1? (a) -4\/59 (b) 4 (c) p (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.08, 4, 134?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than 6804\/34385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(3\/11)\/(t**(5\/4)\/t))\/((t\/(t*t**(-10\/3)))\/(t\/(t**(1\/3)\/t*t))) assuming t is positive.\nAnswer: t**(-349\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/335 in -2\/13, -3\/7, -22, 3, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -104 - -108. Suppose -2*q = -5*j - 135, -j - 192 = -b*q + 69. Suppose -l - 60 = -q. What is the remainder when 18 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 1, e: 5, l: 3, o: 1, r: 1}. What is prob of sequence er?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*-1*236\/4. Let w = 92 + a. Calculate the greatest common divisor of 55 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3 - -1) + (317 - 302)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 44375682 * -0.09\nAnswer: -3993811.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -6*d - 4. Let g(t) be the second derivative of -23\/2*t**2 + 3 - 35\/6*t**3 + 3*t. Determine 6*g(w) - 34*p(w).\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 4745, 9480, 14215, 18950?\n\"Answer: 4735*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than -2\/321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -102 = 225*w - 276*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 151 is divided by 85.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -159*y + 301 = 100*y - 2379 - 4831 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 300 and 3675?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes before 8:18 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1\/1879 + -1881\/3758. What is the closest to 0.2 in -2\/19, 0.4, 1.3, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -2*c - 9. Let s be v(-6). Put 5, s, 10 in ascending order.\nAnswer: s, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*h - 58 = -34 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be 18\/(-12)*4\/(-3). Suppose -a - r*o + 12 = 0, 32 = 3*a - o - 4. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 2 and -26607.4.\nAnswer: -26605.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyylylleyylyylyyg. Give prob of sequence ygy.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of q**5\/60 + q**3\/6 + 41*q**2. Let t(o) = 3*o**2 + 2. What is -4*c(z) + 2*t(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*b + 50 = 155. Calculate the greatest common factor of b and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1236 = -7*h - 11. Calculate the remainder when h is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 442*h + 112*h + 421*h - 166*h. Let c(s) = 16*s**2. Give c(k(y)).\nAnswer: 10471696*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.02 and -34.59538.\nAnswer: 0.6919076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 982585 + 1233*x**3 - 982585.\nAnswer: 1233*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s + 1, -7*k + 724 = -5*k + 4*s. Suppose k = 11*j - 6*j. Let t be (1\/(-3))\/(5\/(-1065)). Is t > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 125*s**2 + 90*s + 413. What is the tens digit of l(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 1458.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be 32 - (-1 + -3 + 1). Suppose 0 = -3*x + 2*x + p + t, x = -5*p + 47. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/9, -2\/7, 5, -0.07?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that 21*b**2\/4 + 771*b\/4 - 111\/2 = 0.\nAnswer: -37, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 8f - 66a6?\nAnswer: -6617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 58 a factor of 1661811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -1a1cb2 (base 13) to base 9\nAnswer: -1217077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 26959497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - 6. Let o = -2 - g. What is the third derivative of -8*a**2 - 4*a**4 + 2*a**2 + o*a**2 wrt a?\nAnswer: -96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(-5 + sqrt(3)*1 - 4*(sqrt(3) + 0 + sqrt(3))).\nAnswer: -35*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4547835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + (11 - ((2 - -31) + 1)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-63)\/35)\/((-51)\/(-170))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 6, b: 7}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 275 = -11*a - 44*a. Put -93, -3, a in descending order.\nAnswer: -3, a, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -46 + 48 = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12908967.\nAnswer: 3, 17, 37, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*j + 8 - 8)*((2 - 2 - 2)*(0 - 4 + 3) - 1 + 4 - 1).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1011 (base 2) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the third derivative of -v**5\/60 + 7*v**2. Let b(a) = 12*a**2. Calculate b(t(x)).\nAnswer: 12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5*(-13)\/((-195)\/12). Sort 7, j, 3 in ascending order.\nAnswer: 3, j, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138*l - 2*x - 15007 = -141*l, 4*l - 2*x = 20012. List the prime factors of l.\nAnswer: 5, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 50 and 49705.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1084 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y - 3*y + 3*p + 120, 110 = 5*y - p. Which is greater: y or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 513*p. Let f(w) = 2*w**2 + 6. What is h(f(u))?\nAnswer: 1026*u**2 + 3078","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**2 - 53*u - 210. Let h be j(-39). Suppose 2*m - 3*f - 99 = 0, 4*m - 153 = 3*f - 6*f. Calculate the highest common factor of h and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 4798820?\nAnswer: -1\/2399410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 4*d = 136, -3*v - 2*d - 3*d = -137. Let b be ((-2)\/v)\/((-10)\/(-40)). What is the closest to -2\/7 in -3, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 66.8? (a) -4 (b) -1 (c) -2.605 (d) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 25, -4*i - 2440 = -3*p - 9*i. What are the prime factors of p?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6999*s - 402 wrt s.\nAnswer: 6999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 5*z = -3*z + 11, -z + 5 = u. Let s be (-280)\/(-12) - (-2)\/u. Suppose q = 4*q - s. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**2 - 9. Let n be t(-3). Suppose 5*g - k - 15 = -n*g, 2*k = -5*g. Let o(v) = 1 + g*v - 7*v - 4*v. Determine o(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2. Let i = -412 - -414. Let t(s) = -15*s**i + 264 - 23*s**2 - 264. Determine t(y(j)).\nAnswer: -38*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y*y**(1\/2))**(-41)*(y**(-2))**(-2\/9))\/((y\/(y*y\/y**1*y*y)*y)\/(y**(-2)\/y*y)*((y*y**(-2\/5))\/y)**(2\/65)) assuming y is positive.\nAnswer: y**(-602803\/5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes after 8:58 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 2072, 2684, 3296?\n\"Answer: 612*w + 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 131300533?\nAnswer: 7, 13, 1442863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3 - 0. Let t = -166\/33 + 59\/11. Put t, d, -0.3 in decreasing order.\nAnswer: t, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 129? (a) 0.0416 (b) -2\/23 (c) 215 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 4753.\nAnswer: 19012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/62 and 5\/8?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.1 and -33.137.\nAnswer: -33.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes before 3:19 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h + 46 = 322. Calculate the remainder when h is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 24.30592 to 1 dp.\nAnswer: 24.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -31 - 38 - w - 38 + 100. Suppose 0 = -2*s - 12 - 0. Calculate p(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least 9\/1886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-52)\/20 + (-2)\/5. Let l be w\/5 + (-108)\/(-105). Let d = 1\/8 + -7\/8. Which is the second biggest value? (a) l (b) d (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10992847*f + 121 - 21985695*f - 121 + 10992847*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*x - 161 - 98*x + 176*x.\nAnswer: 44*x - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 72\/20 + (9\/(-5))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/7? (a) -0.4 (b) 0.1 (c) 19.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - 7*f**2 + 5*f + 10. Let j be (-32)\/(-6) - (-2)\/3. Let h be d(j). Factor 0*z + 0 - 1\/4*z**2 - 1\/4*z**h - 1\/2*z**3.\nAnswer: -z**2*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -231 - 174 = -81*b. Solve 45*t - 49*t - 28 = z, -b*t - 57 = 4*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1523*((-10)\/(-5) + -7) a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 193651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 1221040 (base 5) to base 13.\nAnswer: a790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**3 - 5*f**2 - 2*f + 16. Let b be v(7). Suppose -a + 36 = 3*j, -j = -4*a - 2*j + b. Calculate the smallest common multiple of 32 and a.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 56 by -28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 - 18. Let f be 1\/r + (-15)\/(-6). Sort 8, -5, f.\nAnswer: -5, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:52 AM and 11:01 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 45 + 658. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1179065 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*w - 164*w - 278 = 133*w + 204 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 156 + 0*p**2 - 128 + p**2 as w*p**2 + b + l*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 5*t + 5*n, 4*t + 12 = 18*n + 29*n for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -32652 or -32651?\nAnswer: -32651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*t + 5*t + 565 = 0. Let i = 171 - t. What are the prime factors of i?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/7 + 84\/49. Suppose 2*u = -v*u + 12. Suppose 8*t = u*t + 15. Solve k - t = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*h + 41*h = 6. Let s(r) = 10 - 2*r - 9 + 10*r - 4. Determine s(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -17 - -14. Let c be -8 - (5 + 4)\/k. Let l be (-1)\/c - (-261)\/45. Solve 2*r + l = 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -108 divided by -9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -26 + 26. Let p be 2*(17 - (1 + v)). Let w = -16 - -40. Calculate the highest common divisor of w and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jx when two letters picked without replacement from {j: 3, x: 1, d: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = 82 - 82. Suppose -b - 2*v + 58 = f, 3*v + 71 - 28 = b. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 8 = -v, 4*f + 2*v - 2 = -0*v. Suppose -6*o = -o + 3*w + f, o = -5*w - 5. Let r(i) = i + 3. What is r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -p + 19. What are the prime factors of s(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.11 and 0.309.\nAnswer: 0.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 3*d - 8*d = -591, 0 = -2*c - 2*d - 282. Let i be (-2723463)\/c*(-1)\/3. Let x = i - -6310. Find the common denominator of -17\/10 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 22422 and 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -45575, -91154, -136733?\n\"Answer: -45579*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 737 (base 8) to base 10.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(99)*1*-4 - sqrt(99)) + (-2*sqrt(99) - sqrt(99))*1)\/(sqrt(9) - -2*sqrt(1296) - (sqrt(9) + sqrt(576))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*s + 3*r + 13, 4*s + 2*r = -0*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve q**2 + 35*q + 34 = 0 for q.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/2912 and 85\/296.\nAnswer: 107744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 15, 0*k - 65529 = -5*l - 7*k. Is l a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9431204?\nAnswer: 2, 2357801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x + y + 27, -5*y - 39 = x + 2*x. Let k(z) = z**3 + 9*z**2 + 3*z - 34. Let n be k(x). Which is greater: n or -0.05?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 10.64 from -150.\nAnswer: -160.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:00 AM and 10:38 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 42304959 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 27476 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: Find the second derivative of -65*w**4 + 2*w**3 + 1129*w**2 + 2256521*w wrt w.\nAnswer: -780*w**2 + 12*w + 2258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -276 + 280. Solve 0 = -r + z + k, -3*z = -5*r + z + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 5*v + 15, 0 = -5*q + 3*v - 11. Let m(j) = -3*j**2 + 4*j - 4. Let d(g) = 4*g**2 - 5*g + 5. Give q*d(t) - 5*m(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1752233 tonnes in grams?\nAnswer: 175223.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-12)\/(-240))\/(1\/6) + 0. Which is smaller: -3 or q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1*7\/(7\/2). Let p be (-112)\/105 + q\/5. What is the third smallest value in 0.4, p, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 47 - 39.9. Let f = 1.9 + d. Is 0.1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 504 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -2\/3*u**4 + 74*u**2 + 0 + 0*u + 1\/84*u**8 + 16\/3*u**3 + 8\/105*u**7 + 1\/30*u**6 - 2\/3*u**5. Factor l(j).\nAnswer: 4*(j - 1)**2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 22*m + 18. Let u(b) = -21*b - 17. Let n(v) = 2*q(v) + 3*u(v). What is the first derivative of n(j) wrt j?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 2*h - 17. Solve -c = 3*m - 7, 2*c - 5*m + 14 = -h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 3) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 16127 + -48379\/3. What is the closest to -0.1 in d, 4, 253, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -8 + 6. Let u be -23 + 3 + k + -2. Let n be (-5)\/u*(-16)\/(-14). Do 3 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-6) - (-6)\/(-9). Let u = 2 - -2. Solve n*t = u*t + 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = -3*c + 12. Let b be 7\/2 + 52\/104. What is the second derivative of -3*r + 2*r**4 + 4*r - c*r**b wrt r?\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 153 - 131. Solve 5*t - 12 = -i for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1884.228 rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111*k + 93710 = -811939. List the prime factors of k.\nAnswer: 41, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 540 >= 472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -41295, -82591, -123887?\n\"Answer: -41296*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fftj when four letters picked without replacement from outufuuoofoouottfj.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (-1 + sqrt(108) + -3)**2*6.\nAnswer: -288*sqrt(3) + 746","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, -2\/581, -2\/5, 18747?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + -11 + 42 + -148 + 156.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 0 and -3 + 378\/24 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -8. Let a = q - 1. Let t(z) = -z**3 + 2*z**2 + z + 1. Let y be t(a). Solve -k - b - 4 = 0, y*b + 5 + 4 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 8*n + 152. Let z be v(-19). Let d = 1439 + -174118\/121. Is z at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -191 - -1354. List the prime factors of a.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjcc when four letters picked without replacement from tzjctccctjczc.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 133305 and 1065.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**4*o)**(-11\/8)\/(o\/o**(2\/13))**(-34\/3) assuming o is positive.\nAnswer: o**(847\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-3174)\/253 - (154\/(-242) + (-2)\/(-22))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-6)\/2 - -2 - 7705\/(-67). Solve -9*w = 10*w + f for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -50747 by 1.\nAnswer: -50747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 33*i**3 + 12*i**2 + 34*i - 11. Let m be y(-5). Let z = -2057 - m. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1049717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 274 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-60)\/(-8))\/(5390\/(-196))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1\/12)*i)**(-7\/10) assuming i is positive.\nAnswer: i**(-77\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -6*p**2 + 96*p. Let c(n) = 4*n. Let w(f) = -72*c(f) + 3*t(f). Let k(r) = 10*r. Determine w(k(s)).\nAnswer: -1800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 36*m**2 - m - 6. Let k be b(-2). Suppose 11*o - k = 7*o. Suppose 0 = -0*y - 5*y + o. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 93 + -97. What is the least common multiple of -2 + 5 + p\/(-6)*18 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4297679111 to the nearest integer?\nAnswer: 65557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -w**2 + 233*w - 8641. Give n(187).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 4 - 2 = 0. Let n = c + 12. Solve 0 = -0*u + 2*u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 20 = 0, 0 = -9*l + 4*l - t + 19. Let v(k) = 279*k + 152. What are the prime factors of v(l)?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 507756, 507752, 507746, 507738, 507728?\n\"Answer: -c**2 - c + 507758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:14 PM and 5:46 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -26360 - 0.07\nAnswer: -26360.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4141078151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1696779089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(2 + (-11)\/(-15)*-3). Suppose 0 = -m + l + 372, 3*m - 7*m + 1461 = a*l. What are the prime factors of m?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 742*l**2*n**2 - 119014*l**2*n + 3*l**2 - 12*l + 728202 with respect to n.\nAnswer: 1484*l**2*n - 119014*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -3244550.\nAnswer: 2\/1622275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the third derivative of -f**7\/30 + 19*f**3\/2 + 31*f**2. What is the first derivative of j(m) wrt m?\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) be the third derivative of -1\/15*v**6 + 1\/336*v**8 + 0*v**3 + 0 - 1\/105*v**7 + 0*v + 0*v**5 + 0*v**4 + v**2. Solve w(f) = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.95237 - 0.04763. Let n = -2 + 2.36. Let c = -19.36 + n. What is the closest to m in c, 0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - o**2 + o. Let m be c(0). Let t(g) be the first derivative of -2*g + 1\/2*g**2 + 1 + 1\/3*g**3. Calculate t(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 5\/390899?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 0.16 smaller than -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (-1*sqrt(1053) + 2 - sqrt(1053) - (sqrt(1053)*-3*-2 - sqrt(1053))) + 2)**2.\nAnswer: -756*sqrt(13) + 51633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -40438 - -40441. Let f(u) be the first derivative of -6\/5*u**5 + 19 - 51\/10*u**4 - 12\/5*u**w + 0*u + 0*u**2. Solve f(b) = 0.\nAnswer: -3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + u**2 + 2*u)*(-u - u + 3*u) + (2*u - 4*u + u)*(-1 - 7*u**2 + 1).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 8518 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fgfgcfccf. Give prob of picking 3 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 4 = 3*d, 216*d + 11 = 214*d + 5*w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -999749*q*y**2 + 91*q*y - q + 4*y - 206 wrt y?\nAnswer: -1999498*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 551, -532 in decreasing order.\nAnswer: 551, -4, -532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-10 - (-2835)\/18)*284\/10?\nAnswer: 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.54? (a) -3 (b) 377\/14 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1058080 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 2cb (base 13) to base 6.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes after 2:06 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:03 AM and 11:47 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -12*y - 678. Let b be q(-57). Solve 0 = 3*s + 3*z - b, 2*s = 4*s - 4*z - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -58*u + 27*u + 27*u + 2 - u - 2 + (-u - 3*u + 3*u)*(2 + 2 - 2) + 0*u + 2*u - 3*u + 5*u + 6*u - 5*u in the form a*u + g and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of 5*v**3\/3 - 5*v**2 + 5*v + 15. Factor i(n).\nAnswer: 5*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64 and 1400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -2*a. Let o(w) = -6*w**2 + 4. Suppose -s = 5*j + 20 - 1, -s + 4*j = -8. Let i(f) = -65*f**2 + 45. Let n(p) = s*i(p) + 45*o(p). Calculate x(n(q)).\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0 equal to 359?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum -78084237.9 and 8.5.\nAnswer: -78084229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1172218 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1502 + 4?\nAnswer: -1476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -214\/65 - -48\/13. Suppose 2*c - 6*s = -2*s + 16, 4*c + 20 = -5*s. Put c, -2\/7, x in decreasing order.\nAnswer: x, c, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 754088945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 - 1.7. Which is the nearest to -4? (a) 0.1 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-22 + -11 - -28) + 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 48*o**2 + 4 + 4*o - 3*o**3 - 46*o**2 + 49*o**4 - 6*o + 4*o in the form v + u*o**2 + f*o**3 + y*o + s*o**4 and give s.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 7662 divided by -3831\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from deddddedddddded. Give prob of picking 2 d.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -3*j**2. Let n(o) be the first derivative of o**2\/2 + 3. Calculate n(q(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.32597 - 0.07403. Let c(w) = -w**2 + 5*w + 5. Let y be c(5). Suppose -8*g + 3*g - y = 0. What is the nearest to 0 in d, 3, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 963602 divided by -481801?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -206225*1\nAnswer: -206225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14)\/((-112)\/12) + 1333\/62.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = -50, r - 70 = -12*f + 17*f + 6*r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*t + 64*t**3 + 148*t - 41*t - 43*t - 739*t**2.\nAnswer: 64*t**3 - 739*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 118 = 34. What is the greatest common factor of k and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from efeeffgrffreeeer. Give prob of sequence ee.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -6 plus 0.0811?\nAnswer: -5.9189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -2*g**2\/7 - 2580*g\/7 + 688718\/7 = 0.\nAnswer: -1517, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(175) - 6*(sqrt(175) + 0 + sqrt(175))) + sqrt(175))**2 + 3 - (4 + -5*(sqrt(7) + -2) + -5)) + -1.\nAnswer: 5*sqrt(7) + 17493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*u + b + 14, -3*u + 8*b - 19 = 4*b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + h = -21 - 219, 5*h - 325 = -5*k. Let w = k - 44. Calculate the remainder when 83 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 33 (b) 0 (c) -2 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 253007 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*v = 1843 - 19411. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 131779872 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 + -22 + -17 + 25.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 111*l**3 + l**2 + 32207*l - 32208. What is n(1)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (-134)\/2211*(22\/(-99) + 112\/18)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 116 + -162. Suppose -4*t - 4*b - 20 = -8*t, 15 = 3*t + 4*b. Suppose v + y = -2*y - 48, t*y = -4*v - 185. Are a and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**2 + 1. Let v be b(2). Suppose 7 = -v*m - 3. Let o(k) = -k**2 + 3*k + 2. What is o(m)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((-1 + (sqrt(720) - (-2 + sqrt(720))) - sqrt(720) - sqrt(720)) + sqrt(720) - (((sqrt(720)*-1 - sqrt(720))*2)**2 - sqrt(720))).\nAnswer: -11522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 187085*j + 82303 with respect to j.\nAnswer: 187085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1434 - 10?\nAnswer: 1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/101626 and 115\/126?\nAnswer: 914634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -30131.8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(117) + sqrt(117)*5 + sqrt(117).\nAnswer: -4 + 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 27 - 24. Suppose v = -m*v + 16. Suppose 4*o - 2*o = 3*r + 1051, -v*o = 2*r - 2078. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -b7 + -8?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*x - 43 - 860 = -18*x. Solve -x = 27*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86141 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 264 = -16*f. Let t = f - 18. Let o be 4\/6 + 40\/12. Solve -o*n = -3*k + 35, t*k = -3*n + k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -225*k + 220*k - u + 68 = 0, -15*k + 189 = -2*u for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + o = 3, -5*o + 10 = -4*a - 5. Suppose -2*p = -a*p - 2. Let x(m) = 16*m**2 + 1. Does 10 divide x(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14046*d*g**2 - 262*d*g - 164*g**2 + 2609*g wrt g?\nAnswer: -28092*d - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 455 - 263. Let m be 144 - (((-170)\/17)\/(-5) - 2). What is the highest common factor of m and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*(p\/p**1)\/p)**(12\/11)\/((p**(-2\/19)\/p)\/(p\/(p\/(p*p**(2\/7)\/p))*p)))**8 assuming p is positive.\nAnswer: p**(2544\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 20*t + 257. Calculate the remainder when p(-6) is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 740191 is divided by 1376?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -1. Let o be -7 + 5\/560*1084. Let b = o + -17\/7. What is the nearest to n in b, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 3*a + 3 = 0, 4*z + 4*a = -5 - 23. Let b(h) = 3*h**3 - 2*h**2. Let y(l) = 3*l**3 - l**2 + l. Calculate z*y(c) + 2*b(c).\nAnswer: -3*c**3 - c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 5*i + 130 = -4*i, -5*v + 230 = 5*i. Let y(w) = -w**3 + 48*w**2 - 117*w + 3556. Let n be y(47). Calculate the greatest common factor of n and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 19 - 47.79386033\nAnswer: -28.79386033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 35 - -7?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*p**4 - 105*p**3 - 115*p**2 + 105*p + 110.\nAnswer: 5*(p - 22)*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 90523217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-8)\/(-3) + 1\/3. Suppose 7 = 5*r - u. Solve d + 1 = 0, r*d = -s + 5*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2*s**2)*(6*s + 0*s - 4*s)*(-5*s + 3*s + 0*s) + 1278 + s**4 + 4016*s**2 - 4016*s**2.\nAnswer: 9*s**4 + 1278","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*20822171.\nAnswer: 4164434.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = p - 4. Let q be (-1 - -3)*p\/(-8). Let f = -0.087121 - -0.187121. Is q bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 183 = k, -3*k - 940 = -4*j - 387. Let i = k + 305. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-16)\/(-20))\/1)\/(4\/(-6))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*t - 949 + 2501 = 27*t. What is the remainder when 164 is divided by t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -3*f - 52. Let l be 74\/26 - 2\/f. Suppose -5*t + 94 = l*x, -16 = -3*t + 2*x + 29. What is the remainder when t is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 176337401 is divided by 6656.\nAnswer: 6649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 24541427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.2*155184\nAnswer: 31036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-6) - 150\/(-18). Suppose 0 = 6*r - 80 + w. Is 12 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uyyyyymuyuyumyym. What is prob of picking 2 y and 2 u?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -5*l + 9. Let h(i) = i + 1. Give c(x) + h(x).\nAnswer: -4*x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1566848478 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4731798880 to the power of 1\/4, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 PM and 9:03 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -c + 17, -18 = -2*t - 0*c - 4*c. Let f be t + -9 - (-5 - 4). Suppose -11*i + 10*i = -f. Solve 0 = -i*o + 18 + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -13 + 2\/4*0. Let v(b) be the first derivative of 2*b + 1 + 9\/2*b**2. Let d(g) = 4*g + 1. What is m*d(s) + 6*v(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*u - 6*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (107 + 39 + 174)*(364 + 185*o - 364) as v*o + s and give v.\nAnswer: 59200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -2*x - 4*b - 23, 0 = 3*x - 5*b - 41. Suppose -4726 = -x*v - 10*v. Calculate the remainder when v is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u, 1 e, 1 o, and 1 v when four letters picked without replacement from {v: 5, s: 4, k: 1, e: 4, o: 1, u: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -2\/5, -99?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2 + 6 + -5)\/(-15). Which is greater: a or 0.014?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -253 + 229. Let f(h) = -h**3 + 4*h**2 + 1. Let d be f(5). Let s = d - t. Solve -3*z + s*z = 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 2*a + 6. Suppose -589 = -3*t - 2*t - 2*w, 3*w = -3*t + 357. Suppose -108*f = -117*f + t. Calculate q(f).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*o**4*y + 7447*o**4 + 256*o**3*y + 2*o**2 - o*y - o + 102328 wrt o.\nAnswer: 72*o*y + 178728*o + 1536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -224 divided by 160321.\nAnswer: -32\/22903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1093549637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-24)*2156\/1225*(-36)\/(-16).\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5540166 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q + 14. Let i be s(-8). Let u be (-3 + 33\/i)*2. Calculate the greatest common divisor of u and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 491, 482, 477, 482, 503, 546?\n\"Answer: w**3 - 4*w**2 - 4*w + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -2696 (base 15) in base 16?\nAnswer: -2031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19306206?\nAnswer: 2, 3, 1009, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 49, -5 in decreasing order.\nAnswer: 49, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*o + 62 = -3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 503.5 + -504. Which is the second biggest value? (a) 4\/3 (b) 4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9739, 18801, 27845, 36865, 45855, 54809, 63721, 72585?\nAnswer: 81395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 + -62 + (-6 - -8). Let o = p + 689. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**2 - l - 1. Suppose 14*o - 623 = -609. Let y(a) = -13*a**3 + 3*a**2 - 3*a - 2. Determine o*y(z) - 3*p(z).\nAnswer: -13*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*n - 4*n + 11*n + 8.\nAnswer: n + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j - 51. Give k(-15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**2 - k. Let t(o) = 7*o. Let x(y) = -f(y) - t(y). Let q be x(-6). Solve -5*z + q = 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (0 + (-2)\/12 - -4554*(-71)\/(-7668))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2639, 2640, 2643, 2648, 2655, 2664?\nAnswer: 2675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1.1 + -0.6. Let q = -0.3 + d. Let m be -15 + (-264)\/22 + 15. What is the second biggest value in q, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -2*a**3 - 11*a**2 + 8*a + 2. Determine h(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 113626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4 + (-39)\/12 + (-42)\/56. Factor -3\/2*y**4 - 5\/2*y**5 + x*y**2 + 0 + y**3 + 0*y.\nAnswer: -y**3*(y + 1)*(5*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 61*j**3 + 8171*j**2 + 8255413*j wrt j.\nAnswer: 366*j + 16342","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -230*c - 2525. What is i(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f = -4*i - 188, 4*f - i - 203 = -0*f. What is the remainder when f is divided by 19 - -1 - (-4)\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 4 + -2250?\nAnswer: -2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 3*q**2 + 3*q - 4. What is the units digit of v(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 215*y + 33*y - 4720 = -89 + 1321 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 120361388 * 0.1\nAnswer: 12036138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 128*r - 1. Let i(v) = -2*v**2 - 6*v + 3. What is t(i(z))?\nAnswer: -256*z**2 - 768*z + 383","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 31*k**2 + 42*k**2 - 104*k**2 + 30*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 - 55*l**2 + 1596*l + 1. Give a(-76).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 28775 divided by -4644?\nAnswer: -28775\/4644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 6*i - 64. Calculate n(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**2 - 5*k + 2. Give f(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 6 = -2*g. What is j in -2\/3*j + 2\/3*j**5 + 0 + 4\/3*j**4 + 0*j**g - 4\/3*j**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 13 * 3\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 32057600 to the nearest 10000.\nAnswer: 32060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 11739479 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 399105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/16194279 and -47\/26990465?\nAnswer: 80971395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/42*(-21)\/28*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6228 + 211695\/34. Find the common denominator of v and 33\/205.\nAnswer: 6970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20128 and 2924.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 18644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vabb when four letters picked without replacement from {s: 1, l: 2, v: 2, a: 7, b: 6}?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 36252 = -1326 + 6018. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1071.3 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2164 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -36163621 - -5?\nAnswer: -36163615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -160175 divided by -1.\nAnswer: 160175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (10 - 5 - -2) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) be the first derivative of -7*p**2 - 1. Let z(y) = -y - 7. Let o(u) = u + 6. Let i(m) = 7*o(m) + 6*z(m). What is i(a(x))?\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4704290?\nAnswer: 2, 5, 470429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 4*((-5 + -2 + sqrt(76) - sqrt(76))**2*-6 + (-5 + sqrt(76) + -1)**2 + (-1*sqrt(76) - sqrt(76) - sqrt(76))**2*2).\nAnswer: -96*sqrt(19) + 4749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 61271.9 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-21)\/(-6) + 2\/4. Suppose -q*p = -0*p - 12. Let s(z) = -10 + 11 + 3*z**2 - 4*z**2 + 3*z. Determine s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*a + 97 + 35. Suppose -67 = -a*p + 65. Calculate the highest common divisor of p and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -325.7 + 326. Sort m, -2\/9, -49, 4 in descending order.\nAnswer: 4, m, -2\/9, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*k**3*w*z**3 + 114*k**3*w - k**3*z**2 - 342*k**2*w*z**3 + k**2*w - 3*k**2*z**2 wrt k?\nAnswer: -12*w*z**3 + 684*w - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -119 less than or equal to -174663\/1483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(1\/4)\/q)**(-50)\/((q\/((q\/(q**5*q))\/q))\/(q*q**(-1\/11)*q))*(q\/q**(-1)*q)\/q*q**(-2)\/q*q*(q**(-2))**(-14\/13) assuming q is positive.\nAnswer: q**(9885\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -444*x + 7995 + 3993 for x.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1700) + 1*sqrt(1700) + 5 - sqrt(1700) - sqrt(1700))**2 - (0 + sqrt(1700) + 2)**2 - ((-3*sqrt(1700))**2 + -1)*1) + 2.\nAnswer: -16976 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d - 2*d + 2*d)*(5954 + 63*d - 5954 + (-3 - 1 + 5)*(d - 2*d + 3*d)).\nAnswer: -65*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-16))\/(159\/(-36) - -5)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 120.5 + 142.4. Round r to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q - 7*q = -1130. Let j = q + 11863\/21. Which is the nearest to -1? (a) -1 (b) 1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 1\/2 (b) 58 (c) -2 (d) -635 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * -0.01104\nAnswer: -0.00552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -19*k + 42*k - 1104. Put -2, k, 2 in increasing order.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 8445 * -0.4.\nAnswer: -3378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -45605884*m**3 - 19210982 with respect to m.\nAnswer: -136817652*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7 - 1)*12\/3. Let z be (c\/10)\/((-4)\/10). Suppose 0 = -v - 1 + 5. Solve 3*k = v + z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-16)\/(-32)*8\/2. Let k(t) = 26 + 3*t**j - 2*t**2 - 4*t**2 - 25 + 2*t. Calculate k(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21 and 376.\nAnswer: 7896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1, 9.3, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(1\/4)*(d**(-8)\/d)\/d*(d\/(d**(-2\/11)\/d))\/(d\/((d*d**(3\/5)*d)\/d)))\/((d*d*d*d**(-2\/3)*d)**24*(d**(-4)*d)\/(d**(-7\/5)\/d)) assuming d is positive.\nAnswer: d**(-19001\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -37345 divided by 7469?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -4, 58\/113, 3.\nAnswer: -4, 2\/5, 58\/113, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.0502 - -4.9498. What is the closest to 6 in 0.3, o, -2, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -471639 divided by 4249?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -132*w - 142 + 131*w - 105.\nAnswer: -w - 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/8 - (13 + -13))*-12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -4 + sqrt(208)*3 + -3 + 1 + 4.\nAnswer: -4 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1167 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**1\/b*b**(-5\/2))\/(b**(-8)\/(b**(-14)\/b)) assuming b is positive.\nAnswer: b**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 103, 238, 533, 1066, 1915, 3158?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 427744 at most as big as 427743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 - 0)\/2 - 2. Let h be (-20)\/(-11) + 4\/22. Let w be (1 - 2)*(-4 - -3). Sort h, w, j.\nAnswer: j, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1381323 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 75114 - 25205. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1671468721?\nAnswer: 13, 107, 827, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 + 295*a**2 - 9980*a - 1053. Determine g(256).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4615478 hours to minutes.\nAnswer: 27.692868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - 1)\/1*0. Let z be (-4)\/(-8)*(0 - r). Suppose 5*x + 0*x - 105 = z. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51489 and 999.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-20)\/(-12))\/((-11)\/(-396)). What is the greatest common divisor of g and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3 + -6*1\/(-1). Suppose -4*u + t*u = -7. Let y = 8 - 4. What is the smallest common multiple of y and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 59509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -53ad7 + 122?\nAnswer: -539b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 5*a + 914 + 1080 = 0, -4*a + 4 = 0. Let b = -309 - t. List the prime factors of b.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 372 is divided by 0 - (16\/12)\/(4\/(-96)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112 = -41*j + 45*j. Solve l - 33 = -j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 603764?\nAnswer: 2, 7, 21563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(-6) - (-3 - 3\/(-6)). Let v be 9899996\/6*s - (0 + -2). Round v to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -3869720.4 + -788200.\nAnswer: -4657920.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*l**2 + 5017*l - 5017*l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -9*b + 19. Let o(m) = 4*m - 10. What is 5*o(u) + 2*q(u)?\nAnswer: 2*u - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*b + 540 = 452 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 3681576?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -152945512, -152945517, -152945522, -152945527, -152945532?\n\"Answer: -5*s - 152945507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1053*p - 1500*p = 66790 + 14906 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -f**2 + 0*f - 3*f + 0*f**2 - 3. Let j(t) = -4*t - 2. Let g be j(-1). Suppose -g*o - 2*n = -2, 3*o + 2*n + 1 = -0. Determine z(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 104 = 2*m. Let b be (-3 - m\/(-20))\/1. Sort -3, 0.5, b in decreasing order.\nAnswer: 0.5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d. Suppose -h + 2*t = -27, -4*h - 3*t + 93 = -6*t. Let c = -25 + h. Let q(i) = -5*i + 1. Give c*j(b) + q(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = -x + 18, 0 = -3*d + 3*x + 25 - 7. Suppose -2*g - 4*l + 10 = 0, 2*g = -l - 0 + 1. Let n = g + 3. Solve -d - 2 = -n*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -j**3 + 8*j**2 - 2*j + 10. Determine t(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -6*v**2. Let o(g) = -3*g. What is o(q(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 22.52661 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhazwjjahhaj. What is prob of sequence az?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1592529878?\nAnswer: 2, 19, 5099, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fcffcjalaa. Give prob of picking 2 c and 1 a.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -8 - 136\/20*(29 + -30)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 87558.7mg in nanograms?\nAnswer: 87558700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/168 + 38\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the first derivative of 1640*b**3\/3 - 1467*b - 49. Find the first derivative of w(u) wrt u.\nAnswer: 3280*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-4) - 49\/65*-157. Let l = 1197\/10 - q. Suppose -4*a - 1 = -3*r, -4*a - 3*r + 9 = -8. Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r + 60685 = -3053315. Round r to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 234*x + 2530. Let d be t(51). Calculate the highest common divisor of d and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -12.8192 to one decimal place.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 573410.3mg?\nAnswer: 0.5734103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes after 5:12 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -k**2 + k + 1. Let f(y) = 19*y**3 + 3*y + 2. Let n(d) = 2*c(d) - f(d). Let z be n(-1). Let s be z\/(-4)*20\/(-15). Solve s = 2*o - 0*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 + 5 + i - 6)*(-3 + 3 + 2*i)*(-7372 - 7246 + 14199) to the form q*i**2 + l*i + m and give l.\nAnswer: -3352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 49404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/9, 0.18, -0.03, -5\/2, -124, 4, -8?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 450 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -433 divided by 1\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(1\/5))**(18\/11)*j\/j**(-9)*j*(j*j*j**(-4))\/j assuming j is positive.\nAnswer: j**(458\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 16 (base 11) in base 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-3*(sqrt(700)*1 - sqrt(700)) + 0 - (-4 + sqrt(700)*1 - sqrt(700))*1))**2 + -1.\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b. Let z be y(2). What is the second derivative of m**z - 5*m + 2*m + 0*m wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/(-1) - (-20 - -2). Let c be 132\/55*10\/3. Suppose -c*o - 8 + 48 = 0. Solve 14 = l + l + b, o*b = x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 2*y + 12. Suppose v = y - 2. Suppose 4 + v = 3*b. What is the remainder when 3 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -103686, -103688, -103690, -103692, -103694?\n\"Answer: -2*r - 103684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9424 and 3534.\nAnswer: 28272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 246 - 236. Suppose 14*l = v*l - 12, -4*l - 112 = -2*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 15 = 3*q, 4*q + r + 25 = -4*r. Let s(j) = -5*j + 27. Let z(d) = d - 3. Let m(o) = s(o) + 6*z(o). Give m(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -121*b - 8047. Determine p(-67).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (5*y - 2*y - 2*y + (4*y - 2*y + 0*y)*(2 - 1 + 0) - 6*y - 2*y - 4*y - 2)*(-18 + 13*y + 18) as p + h*y + d*y**2 and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i**5\/3 + 164017*i**4\/3 + 2023196*i**3 + 67261052*i**2\/3 + 178492288*i\/3 - 83995648 = 0. Calculate i.\nAnswer: -16, -6, 1, 164054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-11*(-20)\/(-1100))\/((-17)\/(-2890))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1375457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3)\/6*(3 - 5)*5. Suppose 2*u - 35 = -q*u. Let s(i) = 8*i**3 + 5*i**2 + 6*i - 4. Is s(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/41140 and -41\/4124472.\nAnswer: 226845960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-8))\/(-15*1\/(-8))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l = -5*q + 2*l + 705, 4*q - 559 = -3*l. What is the highest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 1174*n + 32854. Determine c(-28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.04 from -681.\nAnswer: -681.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16158.\nAnswer: 2, 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the second derivative of -t**3\/6 + t + 464. Let i(m) = 33*m - 6. Give v(i(x)).\nAnswer: -33*x + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 11, 2, -803 in descending order.\nAnswer: 11, 2, -3, -803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12430, 12424, 12416, 12406?\nAnswer: 12394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 74 + (2 - 3) + 2 + -20 + 15?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6 - 9640?\nAnswer: -963a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 14431.41mg in nanograms?\nAnswer: 14431410000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*r - 53 = 4*d, 24915*r - 24920*r = -d - 19 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 858a (base 12) to base 9.\nAnswer: 22077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -21*k**2. Let s(p) be the first derivative of 0*p + 16 + 0*p**2 - 2\/3*p**3. What is x(s(t))?\nAnswer: -84*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 49920 and 7800?\nAnswer: 249600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4332*q**2 - 65*q**3 - 295 + 295.\nAnswer: -65*q**3 - 4332*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 28 - 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -28*d**2 + 35*d - 35. Let f(r) = r**2 - r + 1. What is -140*f(l) - 4*h(l)?\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:41 PM and 8:08 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 158, 7, -1 in ascending order.\nAnswer: -1, 7, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 43, 7, -42, -124, -13.\nAnswer: -124, -42, -13, 7, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 13833 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*x**2 + 70*x**2 + 117*x**2 + 225*x**2 + x.\nAnswer: 323*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put together -14.7669427328618 and -4.\nAnswer: -18.7669427328618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 50.51315 rounded to 2 dps?\nAnswer: 50.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 23194 = 2*x, -15*i + 3*x - 11601 = -14*i. Let c = 22412 + i. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 348 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -41*w + 114*w - 60*w.\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**2 + 14*s + 3. Let v be j(14). Let p(f) = v*f - 7*f - 2*f - f. Let z(n) = -n**2. Calculate z(p(i)).\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j = -4*g - 4, 0 = -5*j + 3*g + 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the third derivative of 1\/60*y**5 + 5\/24*y**4 + 0 + 1\/3*y**3 + y**2 + 0*y. Let x(k) = 4*k + 1. Let i(m) = -2*f(m) + 3*x(m). Give i(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 693 minutes after 7:46 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be 15\/9*(-12)\/(-10). Suppose 5*x = -l*j + 1530, -2*j - 3*j = -3*x + 949. List the prime factors of x.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -4*l - 2. Let p(b) = 7*b + 5. Let d(i) = -5*k(i) - 3*p(i). Let j be d(-5). Suppose -x = -3 + 5, -2*u + 12 = -2*x. Put j, u, 5 in decreasing order.\nAnswer: 5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 464735525.\nAnswer: 5, 283, 65687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -5*b - 50. Determine p(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 192052549 and 848.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose u - 2 = -0*u. Let k = u + 2. Let g be (-4)\/(-18) - k\/18. Solve -t + g*t + 5*b = -24, -5*t = -3*b - 32 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 2, k: 2, y: 7, p: 1}. What is prob of sequence kkf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/((30\/(-4)*164\/(-3895))\/(-3)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are -45 and -40 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -68209, -136358, -204469, -272542, -340577?\n\"Answer: 19*j**2 - 68206*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1923 plus -966?\nAnswer: -2889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*b**4\/4 - 551*b**3\/2 + 6851*b**2\/4 - 2102*b - 1812 = 0 for b.\nAnswer: -4\/7, 3, 4, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*q + 5*q - 6*q)*(10*q**4 + 10*q**2 - 10*q**2) + 3*q**4 - 29*q**2 + 9*q**4 + 3*q**5 + 30*q**2.\nAnswer: -127*q**5 + 12*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 3 + 2 = -v, v = -2*r + 20. Solve m - 4*l - 5 = -4, v = -3*m - l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 - 4*g + 1. Let f = 0 + -3. Determine p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 2*f - 54, -2 = 123*f - 124*f - 4*v. Are 156\/7 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -5440387, -5440388, -5440391, -5440396, -5440403, -5440412?\n\"Answer: -t**2 + 2*t - 5440388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 185 - 185.77. Let v = o - 11.23. Let h be (-15)\/(-22) + 2\/(-4). Put -0.3, h, v in decreasing order.\nAnswer: h, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -90 - -89. Which is smaller: m or -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -22 (c) -28\/187 (d) -0.4 (e) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5349435?\nAnswer: 3, 5, 7, 13, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 110.7? (a) 0.4 (b) -5 (c) 3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6453989 microseconds in nanoseconds?\nAnswer: 645.3989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**3)**(-2\/15)*w\/w**(-2\/27)*w**(-1) assuming w is positive.\nAnswer: w**(-44\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mp when two letters picked without replacement from {d: 1, m: 4, p: 6, n: 3, e: 1, s: 3}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -625 - -674. Calculate the remainder when i is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 5*q**2 + 2*q - 2. Let m(s) be the second derivative of -s**4\/12 - s**3\/6 + s**2\/2 - s - 14. What is -6*m(n) - 3*p(n)?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t**2 - 405*t - 2059. Give a(202).\nAnswer: -2261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 223100331 (base 4) to base 2\nAnswer: 101011010000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.336 - -0.034. Let w = h + -0.370021. Round w to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 13*t + 144. Let i be g(-11). What is the smallest value in 2\/7, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ila when three letters picked without replacement from {o: 1, i: 1, v: 2, w: 1, l: 2, a: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24192)\/(-8960)*40\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = h**3 + 46*h**2 + 2*h + 576. Let r be b(0). Calculate the highest common divisor of 234 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 1170 = -1404. Suppose -5 = -q*p + 428*p. Solve -3*o + p*f - 33 + 8 = 0, -f = 2*o - 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - a = -2, -18*y - 2*a = -15*y - 4. Suppose y = 13*i - 10*i + 5*v - 107609, 4*i - 143490 = -v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = -473*d - 22. What is the units digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 21640*n**2*w - 93*n**2 + 879169*n*w + n + w - 2 wrt n.\nAnswer: 43280*w - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/4120 and 73\/3352.\nAnswer: 1726280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -15 (base 12) to base 11\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -6, 4, -0.2, 6\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 - 145*x**2 + 600*x + 223. Calculate t(-149).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2847 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 4797*a - 1369*a = -3462*a - 275600 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 215549584?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 6*t + 3. Suppose 7 = 2*x + 3. Let r be m(x). Let u = -13 + r. Solve u*b + 3 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21332200349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the first derivative of -h**2 - 4*h + 2. What are the prime factors of j(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10829)\/85)\/49 + ((-1236)\/(-10) - 1).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5729 and 1615578?\nAnswer: 1615578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 6, h: 3, a: 1, l: 1, s: 1, g: 5}. Give prob of sequence sv.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1191413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 + 2045*b - 2446*b + 2 - 3 - 1.\nAnswer: -401*b + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 82 + 264 = -j, 0 = 4*z + 4*j + 232. Let p be (-14)\/21 - (-2 - z\/51). What is the nearest to 1 in 5, -0.03, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 372199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:18 AM and 11:33 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*a + 87 - 87. Solve -3*g + 16 - 13 = a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y - 6*y + 18. Let f be (1\/y)\/(2\/(-4)). Which is the smallest value? (a) f (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - 11*k**2 - 24*k + 493. What is the remainder when 1564 is divided by n(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7047695*l - 783*l**3 - 7047695*l.\nAnswer: -783*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**8)**20*(i**3*i*i)**(14\/9) assuming i is positive.\nAnswer: i**(-1190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = 11 - 5. Suppose 2*s = b*s - 100. Calculate the common denominator of (-16)\/3*(-15)\/s and -14\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/(4 - 1 - 1). Suppose l = 2*c + 2*c - 16, -4*c - 38 = -p. Is 25 a factor of p - (9\/3 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11107120 to the nearest one hundred thousand.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 15 = 0, -5*a = -5*g + 2*g - 19 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3101 is divided by 189?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -87 - -126. Calculate the least common multiple of t and 165.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-43)*m**39)\/(m**(-17\/2)*m**36) assuming m is positive.\nAnswer: m**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 30 + -26. Calculate the lowest common multiple of 7 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, -1, 5, -3.9, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(8\/7)*l*l*l*l*l)**(3\/53))**(1\/34))**(-45) assuming l is positive.\nAnswer: l**(-5805\/12614)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 3257 and -4.\nAnswer: -13028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/(r\/(r*r\/(r**(-5)*r))*r))\/(r**(-32)\/r*r*r*r) assuming r is positive.\nAnswer: r**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -50 + (78 + -80)\/((-5)\/((-140)\/(-8)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let b = 1.89 - 1.49. Let g = -3 - -2.9. Let l = -1.021 + 0.021. What is the nearest to g in b, -2, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 13761 or 13766?\nAnswer: 13761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4324*w - 2365.\nAnswer: 4324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16.1 - -16.0913. Round k to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of 85*x**2\/2 - 21*x + 120. Is 49 a factor of a(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -6*f**2 - f - 2. Let n(x) = 34*x**2 + 4*x + 276. Let b(s) = 6*i(s) + n(s). Factor b(o).\nAnswer: -2*(o - 11)*(o + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 36, 82, 140, 216, 316?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - (-1 + sqrt(252) + sqrt(252))) + 1 + (sqrt(252) + -2 - sqrt(252))*-5)**2.\nAnswer: -144*sqrt(7) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 82888 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1422294ml in litres?\nAnswer: 0.0001422294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -10\/17, -3 in ascending order.\nAnswer: -3, -10\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1339370055?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -60219*l*p**3 + 21*l*p**2 + 96*p**6 - 1082565*p**2 wrt p?\nAnswer: -361314*l + 11520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 minus -72093047?\nAnswer: 72093046.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 225 - 225. Let i(y) be the second derivative of 1\/15*y**6 + 0 + 0*y**3 + y**2 + 0*y**5 - y + k*y**4. What is the derivative of i(b) wrt b?\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90*j - 228 = 94*j. Is -58 less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a + 14. What is the units digit of j(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 127.4 + -127.3. What is the closest to 26 in -1\/8, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 + -4)\/((-5)\/15). Suppose -5*m - 13 = 2*y - 0*m, s = -2*y + 2*m. Let c = 63 + -61. Put y, -5, c in increasing order.\nAnswer: -5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.214 + -100.786. Let w = n - -97. Let k = 196\/247 - 18\/19. Which is the second biggest value? (a) k (b) 0.1 (c) w (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -2*z - 14 - 13 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be -20 + (-6137)\/(-306) - (-19)\/(-18). Put -4920, -5, y in ascending order.\nAnswer: -4920, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -2*z - 1. Let k be p(-5). Suppose w - 3*u = -k, 0*u = 4*w - u + 3. Which is the nearest to w? (a) -2\/55 (b) -2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q + 4. Let o be i(-4). Let f(k) = k**3 + k + 4. Let z be f(o). Calculate the common denominator of (5\/60)\/(z\/(-18)) and 3\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -26718125 times -0.1?\nAnswer: 2671812.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 44161959?\nAnswer: 3, 14720653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0 * -3.8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2265210*z = -2265206*z + 5*r + 205, 102 = -2*z - 2*r for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 122, 126, 132, 140, 150, 162?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -354*x**2 + 3 + 353*x**2 - 2*x + 2*x**4 - 2 in the form j*x**3 + t + k*x**4 + i*x + s*x**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 113760 and 12640.\nAnswer: 113760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is (4224\/(-165))\/(-8)*(-10)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g + 1. Let z be s(-6). Let y be (-55)\/66*9\/z. Let k = -6.8 + 8.8. Which is the closest to -1\/3? (a) k (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -40 - -42. Solve -3*j + 1 = -0*t + 5*t, -3*j + c = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 70, 274, 614, 1090, 1702?\nAnswer: 2450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 832983689.\nAnswer: 832983689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**2 + 12*n + 5. Let h be d(12). Suppose 2*w - w - 700 = -3*b, 0 = h*b + 5*w - 1150. Let k = b + -165. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -4, -1132, 0, 1.\nAnswer: -1132, -4, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7510 is divided by 318?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -888*-5\nAnswer: 4440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/(42\/(-7)))\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -93 + -61 + 169 + (-1 - -20).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-2943)\/436)\/(144\/128)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1760)\/2880*2\/(-1))\/((-1)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 64538.0483 - 64547. Let t = 0.0483 - h. What is the nearest to 0.1 in 2, -3\/8, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84*h - 41*h = 41*h + 4. Solve 2 = h*c, 5*c - 10 + 9 = -4*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19071 - -19268. Calculate the remainder when 650 is divided by n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the second derivative of 0 - 22*y + 1\/2*y**2 - 7\/6*y**3. Give o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7787 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -102 and 1.1.\nAnswer: -100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1656433.\nAnswer: 149, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 25803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6782386*i + 14*i**2 + 6782386*i.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6799*l + 3017.\nAnswer: 6799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -11203*u**2 - 9*u - 46006 wrt u?\nAnswer: -22406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**3 + 7*d**2 + 9*d - 8. Determine b(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 3193*z - 1187. What is the tens digit of d(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -4*q**2\/3 - 3084*q + 9256\/3 = 0.\nAnswer: -2314, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -905, -873, -785, -611, -321, 115?\n\"Answer: 5*d**3 - 2*d**2 + 3*d - 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3 - 7067*j**2 - 70745*j - 176925.\nAnswer: (j - 7077)*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*o**5 + 1088*o**3 + 3*o**2 + 103*o.\nAnswer: 120*o**2 + 6528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.06 + 3.94. Let c = 278 + -14453\/52. What is the smallest value in j, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 235*v - 5*w = 239*v + 13, v + 4*w + 6 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p = -4*q - 9*p - 52, -4*p + 12 = 0. Sort -6, q, -8.\nAnswer: q, -8, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*p**5\/2 + 269*p**4\/4 - 547*p**3\/2 + 469*p**2\/4 + 147*p\/2 = 0.\nAnswer: -7, -21\/62, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 921363659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 25, 116, 277, 514, 833?\n\"Answer: v**3 + 29*v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 - -1. Sort -10, q, -0.4 in descending order.\nAnswer: q, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 5*u - v - 1502 = 0, 3*u - v = -898. Round u to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 456 a factor of 7637148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 10*w + 13*w**2 + 2*w - 12*w as k*w**2 + c*w + b and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 127 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -990, -1247, -1504?\n\"Answer: -257*p - 733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -216 - -216.5. What is the nearest to -48 in b, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmlgdddmdd. What is prob of sequence dg?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1239 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c955b0d + -3?\nAnswer: -c955b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.1, 472, -3, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*j**2 + 2*j**4 - 2*j**2 + 2*j**4 - 2*j**3 + 2*j**3 + (3 - 1 + 0)*(-4*j**4 + 3*j**4 + 2*j**4) + j**4 - j + j - j**4 + 6*j**4 - j**4.\nAnswer: 11*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -2382\/2293 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:20 AM and 9:22 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -165, -203, -269, -363?\nAnswer: -485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 374100 and 2210844.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**(2\/5))**(-1\/54))**32 assuming d is positive.\nAnswer: d**(-16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1.7 or -4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 7:33 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:47 AM and 2:46 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 2 u when four letters picked without replacement from {u: 5, q: 8}.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 469*i**2 + 605*i**2 - 638*i**2 + 774*i**2.\nAnswer: 1210*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2151\/28 - -1377\/70. Let f = k - -307\/5. Find i such that -f*i**4 + 0 + 15\/2*i**3 + 3\/4*i**5 - 2*i - 3*i**2 = 0.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 AM and 12:04 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the third derivative of -y**6\/180 - y**5\/120 - y**4\/24 + y**3\/2 - 3*y**2. Let n(v) be the first derivative of m(v). Determine n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 33 + -30. Suppose a*y - 7*y + 52 = 0. What is the second derivative of -59*f + y*f + 32*f - 10*f**4 wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1773922*p - 12504573 wrt p.\nAnswer: 1773922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -3377, -27098, -91499, -216920, -423701, -732182, -1162703?\n\"Answer: -3390*x**3 + 9*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(320)*1 + -1 + (sqrt(320)*2 + sqrt(320))*6 + sqrt(320)*1*5)**2.\nAnswer: -768*sqrt(5) + 184324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3 - 1)*(26 - 41 + 3*j + 65).\nAnswer: -9*j - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 41 greater than -45\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0\/82*10\/40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 28*r + 17. Let i(d) be the second derivative of -4*d**2 + 0 - 7\/3*d**3 - 7*d. Let m(b) = 3*f(b) + 5*i(b). Differentiate m(x) with respect to x.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 6 = 0, -3*r = f + f - 4. Factor -2\/11*j**4 + 4\/11*j**3 - 2\/11*j**2 + r*j + 0.\nAnswer: -2*j**2*(j - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 6, n: 4, y: 10}. What is prob of picking 2 y?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 29740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.36 and -4717.\nAnswer: -4716.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -228 = -4*w + 4*y, y - 430 = -436. Calculate the highest common factor of 4828 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes after 2:59 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 153*y - 1 - 33*y - 79*y - 40*y. Let u(w) = 1 - w**2 - w + w. Calculate i(d) + 3*u(d).\nAnswer: -3*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 - 6*v**2 - 11*v - 10. Let l be f(-4). Let j(d) = d**3 + 0*d + 3*d + 7*d**l - 10 - 4*d. Let b be j(-7). Let s(q) = 3*q + 1. Calculate s(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 - (5 + 18 + -11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 3*h**2 - 30996*h + 80062668 = 0.\nAnswer: 5166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1 - (8\/(-6) - -2). Let a = -0.72 + -3.38. Let w = 4 + a. What is the nearest to 1 in w, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -32238 (base 15) to base 13\nAnswer: -57578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 185417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 95 divided by 511\nAnswer: 95\/511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 637392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 81\/28 and -37\/494.\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 3:18 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = -21 + 35. Let u(v) = v - 14. Let d be u(b). Suppose d = r - 0*r + g + 3, 0 = -2*r - 4*g - 12. Sort 5, -4, r in ascending order.\nAnswer: -4, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*l + 1 - 1 + (63 - 11*l - 63 + (32 + 56 - 1)*(-2*l + 0*l + 0*l))*(2 - 3 + 0) as q*l + c and give q.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 6*f**3 - 50*f**2 - 2*f + 151. Determine z(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5\/3, -46, 71934?\nAnswer: 71934","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -44 - -41. Sort -2\/9, z, -5 in descending order.\nAnswer: -2\/9, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(7) - sqrt(112)) - ((3*sqrt(700))**2 + sqrt(7)).\nAnswer: -6303 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(1\/9)\/c))**(-32)\/(c**15*c)**9 assuming c is positive.\nAnswer: c**(-1840\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + 0*g + 2*g)*(2 - 6 + 2 + 1 + 4 - 3 + (2 + 3 - 3)*(-2 - 3 + 3) + 0 + 0 + 1 - 2 - 3 - 2).\nAnswer: -20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j**(1\/11))**(-48)*(j*((j\/(j*j**(-8))*j)\/j)\/j*j)\/j**(-3))**(-6) assuming j is positive.\nAnswer: j**(5832\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4166638 to the nearest integer?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.6237 - -2223.7763. Let w = f - 2803. What is w rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = w**2. Let s(r) = 3*r - 2. Let m be s(4). Let g be 2*(15\/m - -2). Let b(k) = -k - g + 7 + 3*k. What is q(b(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1535 + -1518. Let i(o) = -20*o**3 - 4*o**2. Let r(g) = 7*g**3 + g**2. What is q*r(c) + 6*i(c)?\nAnswer: -c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5668990 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-22 - (-16269)\/(-11))*(-9)\/1. Calculate the highest common factor of b and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.4, 3\/29, -5, 1, 468?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = 44 - 263\/6. Let u(a) be the second derivative of -2*a - 1\/10*a**5 + 0 - a**2 + 1\/3*a**3 + w*a**4. Solve u(g) = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 2*s = 16, -5*s = -4*s - 5 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of w**4\/24 + 428*w**2. Let s(t) be the third derivative of -t**5\/6 - 4*t**2. Give c(s(f)).\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 321 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/141 (b) 13\/5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 97567 - 97550. Suppose 0 = -0*z + 4*z - 844. Calculate the remainder when z is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 + 5*a - 6. Let p be z(-8). Suppose p*b - 20*b + 16 = 0. Let h(v) = v**2 - 7*v - 10. Determine h(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13207 + -7801. List the prime factors of p.\nAnswer: 2, 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 525763840 and 12320?\nAnswer: 5783402240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 605660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*i - 248*i**3 - 2*i**2 + 2 + 250*i**3 + 3*i to c*i**3 + a*i**2 + j*i + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -35872190 rounded to the nearest ten thousand?\nAnswer: -35870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.3 + -4.7. Suppose t = -d - 2, -4*d = t - 5*t. Let b = 10 + -8. Put d, a, b in descending order.\nAnswer: b, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -531131 divided by -199?\nAnswer: 2669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = h**2 - 2*h - 6. Does 6 divide a(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 24 = 2*u. Let q be (u*1)\/(9\/(-6)). Let h be 2\/q - (-24)\/(-32). Is 0.2 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12417\/788 - -3\/394. Let p = x + 16. Solve -p*r**2 + 0 + 1\/2*r = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*w**4 + w + 4*w - 670*w**3 + 671*w**3)*(2*w + 0 + 0).\nAnswer: 4*w**5 + 2*w**4 + 10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -103\/13064 and 13\/70?\nAnswer: 457240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2459.8783 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, x: 8, l: 8}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 4 = 5*k, 5*f + 296*k = 292*k - 20. Let u(y) = 15*y - 5. Give u(f).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 34200 and 19950?\nAnswer: 239400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:38 AM and 11:26 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (7 - (5 - 1)) + -42. Let v = -31 - a. Suppose 2*u = -i + 16, u + u - v = 0. What is the smallest common multiple of 6 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0 (c) -238 (d) -2\/9 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**2\/7 - 131284*f\/7 - 187520.\nAnswer: -2*(f + 10)*(f + 65632)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -294 = -2*f - 2*q, -f - 5*q - 735 = -6*f. Calculate the greatest common factor of 7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/3405 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:59 PM and 8:26 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 4:15 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - 1) + (4 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -4753219 at least -4753219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 + -17449?\nAnswer: -17449.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes before 3:13 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1398?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -18900 divided by 4725\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17464, 69672, 156686, 278506, 435132?\nAnswer: 626564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2876 - -658605\/229. Are v and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -56*t = -530 - 2774. What is the remainder when 399 is divided by t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of -d**5\/20 + 5*d**2\/2 + 4*d + 2. Let g(m) be the first derivative of u(m). What is the first derivative of g(t) wrt t?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55854 and 72.\nAnswer: 223416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand m**2 + 0*m**2 + m**2 + (11 - 13*m - 11)*(2 - 30 - 6)*(-m + m + 2*m).\nAnswer: 886*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 5*j - 80, -y + 3*y - 30 = -5*j. Suppose 0 = 23*r - y*r - 136. Let i = 60 + r. Is -4 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + m = 10. Let q = m - 8. What is the third derivative of f**q - 3*f**4 + 2*f**2 + 0*f**2 wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**2 + 7822914*v + 5099831954283.\nAnswer: 3*(v + 1303819)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-189)\/1260)\/((-117)\/(-48)))\/((-2)\/5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-7 + 3 - 70) + -5. Let q = s + 209. What are the prime factors of q?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 125 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 8*w + w - 8*w**2 + w**3 + 9 + 18*w**2. What is the units digit of v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*w + 14 + 14 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 195118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -4*z - 4, -5*p + 7*z = 4*z - 10. Let q be (-3 + 0)\/((-3)\/p). Find the second derivative of 2*j**2 - j + 0*j**q + 0*j**2 wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -16*x + 27. Let j(p) = 49*p - 79. Let f(c) = -3*j(c) - 8*y(c). What is the remainder when 32 is divided by f(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6054842 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 670 divided by 134?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m = -2*y + 2, 5*y + 8 + 29 = -4*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract 110.49 from 1351970.038.\nAnswer: 1351859.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -1957 by 103.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/3, -12, 1, -5, -11, -137 in descending order.\nAnswer: 1, -5\/3, -5, -11, -12, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 2*m**3. Let r be z(1). Suppose -6*w + 8 = -r*w. Solve -w*o = 3*c + 14, -9 = -0*c + c + 5*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(-8) - (-21)\/56?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**3 + l**2 + 1. Let a = 92 + -93. Let o(g) = 10*g**2 + 16*g + 1. Let n(s) = a*o(s) + i(s). What is the second derivative of n(j) wrt j?\nAnswer: 6*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/7 in 3, -7, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -123*a + 638. What is the units digit of s(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.9 + -1. Let n = -8 + 10. What is the third smallest value in n, -3, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2*f)*(2*f**4 + 0*f**4 - 3*f**4 + (-3*f - 2*f**4 + 3*f)*(2 - 6 + 2)).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 - 10076?\nAnswer: -10073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-375)\/(-625))\/(124\/40 + -1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 - 0)\/(3\/(-6)). Suppose -2*q + 2*n + 4 = 6*n, 4*n = -o*q + 4. Let v be (-1 - q)*(-6 - -6). Solve v*z = -4*z + 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -2\/9 (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-6\/13)\/(q\/(q*q\/(q\/(q\/(q*q\/((q**(2\/21)\/q)\/q)))*q*q)*q)*q)*q\/(q**(3\/11)\/q)*q\/q**11 assuming q is positive.\nAnswer: q**(-40958\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of a**6 + 29857*a**5 - 186*a**3 - 2659*a**2 - 2*a - 1840 wrt a?\nAnswer: 120*a**3 + 1791420*a**2 - 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 869804.3cm to millimeters.\nAnswer: 8698043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -1.424584646 and -61.\nAnswer: -62.424584646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = 84 - 84. Put 5, 4, r, 1\/2 in decreasing order.\nAnswer: 5, 4, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.61 + 0.31. Let b = 1 + p. What is the closest to -1 in -5\/3, -0.2, b?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7085937 to the power of 1\/2, to the nearest integer?\nAnswer: 2662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -o - 2*s, 6*s - 8*s = -4*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a. Let s be (-2)\/4*96\/(-6). Suppose 0 = -i + 2*i - s. What are the prime factors of h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4757 divided by -52?\nAnswer: -4757\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.02 (c) -4 (d) 3 (e) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 1083 divide 854812983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w = -33*f + 32*f + 5, 0 = 3*f + 5*w - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**2 + 2*y + 7. Let l be p(4). Which is the closest to 1\/3? (a) l (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 222221021222 (base 3) to base 4.\nAnswer: 2001130112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 231820196.\nAnswer: 2, 57955049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k**3 - 3*k**3 + k**3)*(-4 + 2 + 8) + 2*k + 2*k**3 - 2*k - 2*k - 116*k**3 + 122*k**3 + 0*k.\nAnswer: -4*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1 - 2.9. Sort s, 0.4, 1 in descending order.\nAnswer: 1, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 0.05, -451, -3 in decreasing order.\nAnswer: 0.05, -3, -10, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1.7 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.12 + 5.2. Let w = 0.09 - 0.17. Let q = w + b. Sort -3\/4, -0.02, q in ascending order.\nAnswer: -3\/4, -0.02, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1a804 (base 12) in base 10?\nAnswer: -39172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 69743007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1555*q - 888 = 1579*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 + 6*f**2 + 6. Give b(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 2*t**2 - t. Let w be ((-2)\/8)\/((-2)\/8). Suppose -1 = -5*x + 2*n, w = 4*x - 5*n - 10. What is z(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(7\/2))**(-28)*(b*b*b**(-15))**(6\/5) assuming b is positive.\nAnswer: b**(-568\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2186)\/(-3060) + 2\/(-4). Let o = -2\/255 - h. Put -0.4, 4, o in decreasing order.\nAnswer: 4, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/3)\/o**(1\/9))\/((o*o**(-2\/15))\/(((o\/o**7)\/o)\/o)))**(-8\/5) assuming o is positive.\nAnswer: o**(2992\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -30 + 14. Let g be -2*1\/x*-2. Let t = 88\/3 + -29. Is g less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -101*b + 8040. Calculate y(51).\nAnswer: 2889","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 799018724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19 - 46 - 2*p**3 - 3*p**3 + 27 + 4*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12*c**3*k + c**3 + 5*c**2 + 12838*c*k - 403*c - k + 129 wrt k.\nAnswer: 12*c**3 + 12838*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:30 AM and 12:18 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the first derivative of -52*v**6\/15 + 52*v**2 - 117*v - 82. Let t(b) be the first derivative of j(b). What is the first derivative of t(u) wrt u?\nAnswer: -416*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54 - 510 = -4*i. Suppose 5*z + i = 376. What is the remainder when z is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*j - 5*j - j)*(1 - 1 + 2*j + (-3 - 1 + 7)*(-4949 + 93*j + 4949)) to the form s*j**2 + v*j + l and give s.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 164916024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -5, 3, -30632, 2, -4.\nAnswer: -30632, -5, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 26, 174, 564, 1316, 2550, 4386, 6944, 10344?\n\"Answer: 20*q**3 + q**2 + 5*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c - 2*u - 16 = 0, -7*c + 6*c - 11*u - 18 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, e: 1, m: 1, w: 1}. What is prob of picking 1 w and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -2*g**3 + 47*g**2 - 259*g + 33. Give r(15).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*h**3 + 434*h + 32*h**2 - 148*h - 143*h + 35 - 143*h.\nAnswer: 2*h**3 + 32*h**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -2*d - 3. Let w = 14 + -23. Let b(q) = -1. Let n(g) = -8*g - 7. Let y(h) = -6*b(h) - n(h). Calculate w*c(m) - 2*y(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 2*v**2 + 10*v + 3. Let i be x(-6). Let k be i*-3*1\/9. Sort 3, k, 2, 5 in ascending order.\nAnswer: k, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8407, 16861, 25315, 33769, 42223, 50677?\nAnswer: 59131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**2 + 4*g. Let x be f(-4). Suppose 0 = 2*t - 4, x = 2*b + 3*t + 2*t + 8. Let p = 17 + b. What is the smallest common multiple of 6 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2 - 186*c - 776.\nAnswer: 2*(c - 97)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*a - 382 = -1722. Let c = 1632\/11 + -168. Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 9292 - 18583\/2. Which is the nearest to 0.1? (a) 3\/34 (b) o (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.084 rounded to 1 dp?\nAnswer: -7.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 337\/538209 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -48 and 2696349279.\nAnswer: 2696349231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5402 - 5633. Suppose -2*x + 261 = 57. Let y = x - q. What is the greatest common divisor of y and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 715251 is divided by 23072?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*45\/12*(-192)\/(-18). Which is smaller: y or 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 142486 and 12033.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71869 = 20*u + 13449. What are the prime factors of u?\nAnswer: 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 + -11 - (-24 + 14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 2*d = -10. Which is smaller: -5\/2 or d?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the first derivative of -9\/25*n**5 - 1\/10*n**6 + 3\/5*n**2 + 3\/5*n**3 + 0*n - 3\/20*n**4 + 9. Find t such that c(t) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 174e8 - -a?\nAnswer: 174f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1231 + -1204.1231. Let h = 2548.09 - 1349.92. Let n = q + h. Round n to one dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 79038 - 45087. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 >= 71\/393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the first derivative of -x**4\/4 - 8*x**3\/3 - x**2 - 2*x + 10. Let l be t(-7). Let z = 43 + l. Calculate the highest common divisor of 18 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 108564\/1063 or 101?\nAnswer: 108564\/1063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*x - 9*x + 921. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the first derivative of l**2\/2 + 33. Let i(p) be the third derivative of p**4\/4 - p**2. Calculate i(m(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9063 is divided by 1108?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 94868.\nAnswer: 2, 37, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -306 + 157. Let a = -592 + 370. Let d = x - a. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 986927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -3*u - 151 - 40, -4*u - 276 = -4*t. Let j = 234 + u. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.039792 and -2078848.6?\nAnswer: 2078848.560208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is p in -p**2\/9 + 4*p\/3 + 5 = 0?\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 11*h**3*s - 64*h**3 + 4*h**2*s + 2*h**2 + 5*h*s - 34584*h - 2 wrt h?\nAnswer: 66*h*s - 384*h + 8*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4)\/6)\/((-2)\/3). Let x = -113 + 113. Solve d + b = -x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6264691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 31*g + 17*g - 8*g - 8*g as c + v*g and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 PM and 2:52 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 78005.71m to micrometers.\nAnswer: 78005710000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -9 + 9. Suppose j = 4*p - 0*p. Suppose p*z + 3*z - 3 = 0. Solve 0 = -4*b + 3 + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3 - 10648*h**2 + 264998*h - 254352.\nAnswer: 2*(h - 5299)*(h - 24)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(500)\/sqrt(10).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(1\/27)\/(f**(-28)\/f) assuming f is positive.\nAnswer: f**(784\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7357864 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is j in -4*j**4\/7 + 149272*j**3 - 68223346816*j**2\/7 - 2047640926080*j\/7 = 0?\nAnswer: -30, 0, 130628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the second derivative of -q**5\/60 + 2*q**3\/3 - q**2 + q. Let i(m) be the first derivative of g(m). What is the first derivative of i(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.4 + 23.4. Let u = 1250.4 - 1253.4. Sort u, -2\/3, -2, a in increasing order.\nAnswer: u, -2, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:29 AM and 4:49 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4615*4\/5460*-7?\nAnswer: -71\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2*((-20)\/(-8) + -3). Let w(t) = -8*t - 3. Let h be w(d). What is the nearest to 0 in 0.3, 2\/9, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**2 - 29*i + 16. Let d be w(-17). Suppose -f - 4*f + d = 0. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-7 - 5\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*h - 228 = -43 - 839 for h.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -19.377 - -18.777. Let f = 0.03 - -0.03. Which is the third smallest value? (a) -5 (b) f (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(1\/21)\/((u\/((u\/u**(2\/15))\/u))\/u)*u\/u**(-6)*u**(-5) assuming u is positive.\nAnswer: u**(67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 145*p**3 + 4*p**2 + 209. Let l(o) = -288*o**3 - 10*o**2 - 417. Let k(w) = -2*l(w) - 5*t(w). Find the first derivative of k(y) wrt y.\nAnswer: -447*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7\/10054 or 1?\nAnswer: -7\/10054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 21218222?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the second derivative of 3*b**4\/2 - 2*b + 16. Let n(q) = 12*q**2. Determine o(n(g)).\nAnswer: 2592*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -259579, -259588, -259597?\n\"Answer: -9*m - 259570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 369*t - 125 + 1768 + 571 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*s = -4 - 32. Suppose -s*t = -0*t. Suppose t = k - 153 + 38. List the prime factors of k.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 351 is divided by 115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/1*(-5)\/(100\/(-5)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/71712 and -137\/24.\nAnswer: 71712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -2*t**3 - t**2 + 65*t + 4. Let o be d(-6). Which is the closest to o? (a) -1\/4 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 535329 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -65 + 137. Let d(o) = -o**2 + 5*o + 2. Let a be d(3). Calculate the highest common factor of a and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 164 + -140. Let o be (0 + x + -5)\/1. Solve -4*w - o = -31 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3.052 - 0.052. What is the nearest to -1\/2 in h, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 14\/(-56) - (-21)\/4. Solve f*t = 5*y, -2*y + 6*t - 2*t = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 6*c = 116. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffffffffaffff.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 35 (base 12) in base 2?\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9373997.\nAnswer: 31, 127, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 34675709 - -49.042?\nAnswer: 34675758.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -16*z - 2*m - 76, 5*z + 23 = -245*m + 244*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 167 = 4*t + 35. Let v(m) = m**3 - 16*m**2 - 34*m - 6. Suppose -1044*q - 126 = -1051*q. Calculate the lowest common multiple of v(q) and t.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 5873 + -5773. What is the remainder when 408 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1087542528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9\/36541 - 2120781\/154056856. What is the common denominator of 57\/28 and f?\nAnswer: 29512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 3*t**3 + t + 0*t**2 + 0*t**2 - 4*t**2 + 2 - 2*t**3. What is u(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 41239 * 5\nAnswer: 206195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8953919593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 2 - 42*c + 33*c + c**2 + 13*c. Let v be k(0). Solve -1\/3*q**3 + 4\/3*q**v + 0 + 0*q = 0 for q.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -15*t**3 - 1432*t**2 - 728*t - 5960. Calculate s(-95).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -88 - -92. Suppose 4*d = -i - m + 3, 85 = -5*i - 4*d. Let x(l) = -5*l - 9. List the prime factors of x(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2658 - 475. Calculate the highest common factor of 59 and b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:40 PM and 1:49 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 4088252000 to the nearest 1000000.\nAnswer: 4088000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/6 + (-80)\/(-12). Suppose -z + 10 + d = -4*r, -3*r - 12 = 0. Suppose z = -v - b + 6, 0*v = 5*v + 2*b - 39. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 32\/12 - (-4)\/(-6). Let v be (2\/(-30))\/(o\/(-6)). Let m(f) = -f**2 + 5*f - 5. Let c be m(4). Do v and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0006086061 to six decimal places.\nAnswer: -0.000609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 79990120147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yoo when three letters picked without replacement from {n: 1, h: 1, y: 1, f: 1, e: 2, o: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:50 AM and 7:26 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 0*r + 0*r - r**3 - 2*r**3 + 4*r wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*z**2 + 3*z**2 - 2*z**2)*(-3455 - 1576 - 920)*(1 - 4 + 1) to the form q*z**2 + g*z + t and give q.\nAnswer: 11902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - ((2 - 4) + (-8 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1370 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 216 by 163.\nAnswer: 216\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 100010321 + -2?\nAnswer: 100010313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*p**2*q*s**3 + 9*p**2 - 38*p*q*s**3 - 2*p*q*s + q + s**2 wrt s?\nAnswer: -24*p**2*q - 228*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -22.38 - 0.62. Let v = c - -24. Is 22 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 291, 550, 809, 1068, 1327, 1586?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/((k*k**(-8))\/k))\/k*k*k**(-1\/5)*(k**(-1\/2))**(2\/99))**29 assuming k is positive.\nAnswer: k**(126179\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Is 4810 greater than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -3 + (2*3*sqrt(468)*4)\/(-2*sqrt(576) - sqrt(36)*6).\nAnswer: -12*sqrt(13)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 2*b + 17 = 2, -3*u - b - 20 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 68.33 + -68.63. Let h = 2.46 + 0.04. Let o = 2 - h. What is the nearest to 1\/3 in o, 3\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-6) + (-44)\/(-6). Suppose 3*q = -2*q + 5, 4*q = -2*f + u. Let b(a) = 6*a**2 - 1 - 3 - 3*a**2 - 4*a**f + 4*a. Determine b(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -721, -8203, -30467, -75523, -151381, -266051?\nAnswer: -427543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 341*j + 1665 = -2*j + 13*j + 3*u, -5*u = 4*j - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -6.45 times 0.0124?\nAnswer: -0.07998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 904220090?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from hkhkzllhh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1647981\/665 - -89\/1330. Let p be (-8 + 3)\/(-5) - -2480. Let g = p + c. Calculate the common denominator of -53\/3 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 65*q - 40. Let d be p(1). Solve 0 = -4*u + 3*k + 27, 0 = 5*u - 2*k - 0*k - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 15) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v = 4*v + 3*v. Suppose v = 14*p - 20*p + 222. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + -6 + -1 + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1815 and 128370.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1900*h - 361384 = 906*h + 1440*h + 58970 for h.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 289 + 470?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4 + 5 - 0) + 1. Let g(t) = -t**3 - 3*t**2 + 2*t. What is g(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -2*q**3 - 2*q**2 - q. Let m(y) = y**2 - 1. Let h = -20077 + 20076. Determine h*f(d) - 2*m(d).\nAnswer: 2*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -4*m + 25, 4*x = -5*m - 5 + 13. Let i = 871 - 870.9. Which is the nearest to i? (a) m (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = p + 2*p - i - 7, -3*i = -5*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-55)\/22*(28\/(-10))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.3 (b) -6568 (c) -4 (d) 4 (e) -0.03 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -62 - (-103 + (83 - 52))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2982.53 and 2.69.\nAnswer: -8023.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -224*w**3 + 6497*w**2 - 26*w - 37. Let f be i(29). Let c = -54 + 79. Calculate the highest common factor of c and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) 2\/7 (b) 1\/10 (c) -2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -19*s. Let b(g) = 290*g. Let j(z) = -b(z) - 15*q(z). Let c(m) = -m + 1. Let i(v) = 20*v - 25. Let a(t) = 50*c(t) + 2*i(t). Give a(j(x)).\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1969869068.\nAnswer: 2, 492467267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21544554.\nAnswer: 2, 3, 3590759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.91 - -0.59. Let b = 23.1 - r. Round b to 0 dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1449*l**2 + 243 - 1449*l**2 + l**3 to m*l + p*l**3 + n + t*l**2 and give n.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add -0.35 and -98.239.\nAnswer: -98.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 681031 a multiple of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 4*u + 5 = u, 0 = 3*f - 4*u + 3. Suppose p + 0*p + 7 = 0. Let r = -7 - p. Which is bigger: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 2888.96ug to grams.\nAnswer: 0.00288896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 - -274. Suppose o = 5*r - c + 2*c, 4*r + 3*c = 227. Suppose -2*i + 4*i + b = 17, b + r = 5*i. What is the lowest common multiple of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 7. Suppose 4*p = 5*d - 445, a = -5*d + 5*p + 336 + 104. Suppose 0*x - 3*x + d = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 5, l: 8}. What is prob of sequence rlrl?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 210 and 22806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -2*c**2 - 23*c + 14. Let w be k(-12). Solve -12 = -0*z + 2*z + w*x, 3*z + 8 = 2*x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000331 rounded to 6 dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39631 = 3*j - 4*y, 7*y = -j + 11*y + 13197. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40294, -40298, -40304, -40312, -40322, -40334?\nAnswer: -40348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 3*w + w = 428, -4*z + 4*w + 424 = 0. Let a = 135 - z. What is the remainder when a is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, t: 1, z: 1, c: 2, j: 1}. What is prob of sequence wtw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + d. Suppose 16*a - 19*a + 6 = d. What is the hundreds digit of (-16)\/56 + a\/7 + 141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 703282152.\nAnswer: 2, 3, 29303423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*t + 4*k, -2*t + k = -t - 5. Let v = 30 + -15. Solve -v = t*j - 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the first derivative of x**5\/60 - 5*x**4\/24 + 7*x**2\/2 - 4. Let t(c) be the second derivative of q(c). What is the second derivative of t(o) wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*s + 12479 = 4608. Let h = s - 463. Solve 5 = -u - h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 + 21\/2. Let w = j + 5\/6. Which is the nearest to -0.1? (a) -1\/6 (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8691332 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.2 in 1\/5, 3\/4, 2\/13, 43580, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -341850*s**2 - 2*s**3 + 341850*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15 + 50. What are the prime factors of w?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1048 or -1049?\nAnswer: -1049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/70, 24\/23, 1\/3, -4, -2 in descending order.\nAnswer: 24\/23, 1\/3, -1\/70, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 17 - 3 = 7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/(-9))\/((-545)\/(-654))*30\/(-135).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + -6656.\nAnswer: -6662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aeexaexeaae. What is prob of sequence aeex?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-17\/3)\/(i\/(((i**(-1\/29)\/i)\/i)\/i)))**(26\/5) assuming i is positive.\nAnswer: i**(-21944\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ahx when three letters picked without replacement from {h: 3, x: 1, s: 6, a: 1, u: 3}.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i - 3. What is n(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the third derivative of -o**5\/15 - 495*o**4\/8 - 371*o**3\/6 - 31*o**2 - 16. Factor j(a).\nAnswer: -(a + 371)*(4*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1404.33 + -143.33. Is -5 >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7598068 is divided by 2532688.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 258 - 258 - 22626*s.\nAnswer: -22626*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3547416?\nAnswer: 2, 3, 79, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -9\/2, 2.8 in ascending order.\nAnswer: -9\/2, 2.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 + 8. What is the units digit of m - -5 - (0 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-7 - 6)*(-3)\/1 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 1270506051*p*s + 189848979*p wrt s?\nAnswer: 1270506051*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/255 and -73\/8?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 191*a - 188*a + 18 = -b, -5*a = 5*b + 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001006 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2559, 2526, 2405, 2196, 1899, 1514, 1041?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -7 - (37 + -38).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-171)\/95)\/(1\/(-5)). Let s(c) = -c**2 + 9*c - 8. Let k(m) = -1. Let b(f) = 4*k(f) - s(f). Calculate b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-542248)\/(-20) - 4\/10. Suppose 5*v - 125004 = -2*g, v - x + 2122 = 5*g. Round v to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22918770 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nn when two letters picked without replacement from nvvnnnn?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 8:35 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001983 rounded to 7 decimal places?\nAnswer: 0.0000198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of p**9\/5040 - p**8\/448 - p**7\/105 + p**6\/5 + 41*p**4\/8 - 64*p**2. Let t(r) be the second derivative of i(r). Factor t(q).\nAnswer: 3*q*(q - 4)**2*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 7 or 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - f - 2*f = 47, -2*d = -3*f + 77. Let y = -26 - d. Solve -5*r + 4*r - y = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.08 and -12.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -287 + 267 = -4*j. Solve r = -5, j*r = 4*n - 9 - 28 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + -1)\/((-76)\/(-15) + -5). Let s(x) = 2*x**3 - 29*x**2 - 15*x + 3. Calculate the remainder when 24 is divided by s(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10620 (base 8) in base 6?\nAnswer: 32452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -166, -164, -162, -160, -158, -156?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oeeoooeeoeeeee. Give prob of picking 3 e.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -22150152?\nAnswer: 22150154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 + 0 = -2*j. What is the remainder when 10 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddyyddyddyvddvvddd.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 149474723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -98, -382, -666?\n\"Answer: -284*a + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -43 + 119. Suppose -18 = -2*o + u. Is 15 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3.732417 kilograms in nanograms?\nAnswer: 3732417000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, s: 1, o: 2, z: 6, c: 7}. Give prob of sequence ozcs.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + -1 - (2 + (5 - 10 - -17))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*a + 0*f - 4 = -0*f + f - 36, -12 = -3*a - 11*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -125*r + 98. Calculate the remainder when b(-6) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -39980*p**2 - 2*p - 976 wrt p.\nAnswer: -79960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjjw when four letters picked without replacement from {j: 3, x: 1, w: 13}.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/((-2)\/(-5) + (-736)\/115)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1132.663 rounded to 0 dps?\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z be -30 + 1887 - (9 + 0). Calculate the highest common divisor of z and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the second derivative of -l**6\/360 - l**5\/40 + l**4\/6 - l**3\/2 - 41*l**2\/2 + 2*l - 74. Let j(v) be the second derivative of k(v). Factor j(z).\nAnswer: -(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -92*22044\nAnswer: -2028048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 16*p + 335. Let t be b(-21). Let f(a) = -3*a**3 - 2*a**2 + 2*a + 4. Let z be f(t). Solve h - 16 = 3*q, 0*q + 2*q - z*h = -20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 107*y - 112*y - t + 12, 0 = -16*t + 2*t - 40 - 2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(2\/7))**(2\/15)*(y**(-13)\/y)**42)**(2\/163) assuming y is positive.\nAnswer: y**(-123472\/17115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 245871 and 3621.\nAnswer: 17456841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 124511328 and 12384.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/722220 and 139\/540?\nAnswer: 6499980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*b*c**5 + 2*b*c**4 + 5*b*c**3 + b*c**2 + 19*b + 27 wrt c.\nAnswer: 300*b*c**2 + 48*b*c + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/408 and 43\/544.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -567\/19 or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 + 24*j**2 - 25*j - 20. Let n be m(-25). Find the common denominator of (-795)\/72*((-66)\/n)\/(-11) and 44\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -29c8 (base 13) to base 11.\nAnswer: -4627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 418 = 6*s - 932. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -0.02 and 1.3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 58\/85775 and -29\/3945.\nAnswer: 67676475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -c**3 - 12*c**2 + 7*c + 23. Give q(-12).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 308\/(-33)*84\/(-490)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -60 (base 12) to base 9\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 - 1 + 2)*(-53*t - 51*t + 25*t).\nAnswer: 395*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45491, -46107, -46727, -47351, -47979?\nAnswer: -48611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 73277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -13*a - 26. Let t be p(-6). Suppose 40*r + 204 = t*r. Calculate the remainder when r is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -18*l**5 - l**4 + 752*l**3 + 201243*l wrt l?\nAnswer: -360*l**3 - 12*l**2 + 4512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 7, y: 5}. Give prob of picking 2 y and 2 k.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:26 PM and 12:24 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 21851651 and 246871?\nAnswer: 1427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:39 PM and 1:55 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11 is divided by (1050\/300)\/(14\/16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4828523 (base 9) in base 14?\nAnswer: -4c1cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 124, 6, -6, -9, 5.\nAnswer: -9, -6, 5, 6, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 - -4.4. Let i = 0.02 + 0.1. Let p = i - 0.02. Is p >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1998 is divided by 340.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14367?\nAnswer: 3, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -2211310 (base 4) to base 16\nAnswer: -2974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 + 11*u**2 + 11*u - 11. Suppose 3*g + 2*p = 1 + 11, -p = 3*g - 15. Let o(q) = 2*q**2 + 2*q - 2. Give g*s(w) - 33*o(w).\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63 + 67 + 1469*f**2 - 1471*f**2.\nAnswer: -2*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*p - 48*p = -220. Let t(i) = -i**3 - 7*i**2 - i - 9. Let a be t(-6). Let o = a + p. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z\/((z\/z**(1\/5))\/z))**(-2\/19)*z*z\/z**(-5)*z*z*z**(-5\/2)\/z*z assuming z is positive.\nAnswer: z**(1211\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 - -10. Does 15 divide o*-5*(-1)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 525 + (14 - (-4 - -11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 574893*j - 576026*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes before 10:44 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 64 - 68. Let k be (-1)\/(r\/100)*3350. Let b = k + 438250. What is b rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 2630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j + 16 - 7. Let u = j + 0. Suppose 3*o + 0*a = a + 18, -2*a = u*o - 27. Solve 4*l = -5*b - 32, -o*l + 2*l = -4*b - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i + 3. Let v be ((-4)\/3)\/((-10)\/15). Let r(l) = -l - 1. Give v*r(a) + z(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + 5*(-2*sqrt(272))**2*-4*2*5 + 1.\nAnswer: -217600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 5*r - 16, -3*p + 7*p + r = 6. Suppose 3*g = 2*o + p*o - 24, -5*o - 5 = 5*g. Suppose -4*v = -o*v - 19. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -131 (base 6) to base 2.\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 13044 = 2*a, 44*m - 49*m + 19610 = 3*a. What is the greatest common factor of a and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 4 = -0. Let m be (-7)\/(-3) - g\/3. Solve -6*d = -m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 11\/2*r**2 - 7\/4*r**5 + 9*r - 15\/2*r**4 - 29\/4*r**3 = 0. Calculate r.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Suppose -j - 3 = 0, 6*d - 1 = 5*d - 2*j. Let f be 2\/(-4)*(-6)\/3. Calculate the greatest common divisor of d and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that 48*k**2 + 8*k - 99*k**2 + 55*k**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:04 PM and 6:39 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 578815104.\nAnswer: 2, 3, 7, 349, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1*(-1)\/6 + (-343)\/42 + 10. Solve -d - 88 + 84 = w*a, 9 = -3*a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, j: 1, i: 1, l: 1, x: 1}. What is prob of sequence xljk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2*-52638.557\nAnswer: 105277.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 46883000 to the nearest one hundred thousand.\nAnswer: 46900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 13976ba (base 12) to base 10\nAnswer: 3932206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 48 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -703419 + 26385950111\/37511. Let l = -26595287\/225066 - b. Let q = 118 + l. Sort q, 1\/5, 8 in decreasing order.\nAnswer: 8, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/3)\/c*c\/(c\/(c\/(c*c**(-6))))*c**2\/(c*c\/c**2))**43 assuming c is positive.\nAnswer: c**(946\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.6*-4488\nAnswer: -2692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 5*q = 10 + 14, -5*x - 2*q - 3 = 0. Suppose -11 = -5*o - 2*h, -3*h = -5*o + 13 + 8. What is the units digit of (-2)\/(x\/((-87)\/o))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 22, -5, 7, 5, 1 in increasing order.\nAnswer: -5, 1, 2, 5, 7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/20621 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -1279 times -0.4\nAnswer: 511.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 6 = 4, z + 1 = -u. Let m be (-15 + 1)*20\/40. Let a be (-24)\/(-9) - ((-14)\/3)\/m. Solve -u = -a*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-51)\/(-170))\/(((-3)\/10)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the second derivative of 5*q**3\/6 - 15*q**2 - 6*q. Let m(s) = -20*s + 120. Let n(c) = -2*m(c) - 9*t(c). Find the first derivative of n(y) wrt y.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7 + -11. Let c be -1 - m - (1 + 0). Let l(b) = 5*b. List the prime factors of l(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -402189, -1609273, -3621071, -6437577, -10058785, -14484689, -19715283, -25750561?\nAnswer: -32590517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in b - b - 81*b**3 + 83*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 6*n + w + 2303, -4*n - 2*w = -2294. Let c = n - 1083\/2. Let f = 124487\/15 - 8293. What is the common denominator of c and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -14 - 4*q**3 + q**2 - 5 + 20 - 5*q**2 in the form h + a*q + t*q**3 + n*q**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l**4 + 3*l**4 + 2*l**4)*(-1 + 5 - 2)*(-2 + 5 + 2).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/3733 - -2227\/2810949. What is the third smallest value in d, -1\/8, -2\/15, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + 0. Let k = s - 1. What is the remainder when 25 - (0 + k)*1 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 12\/(-9) + 1820\/1680. Let x be (-3)\/(-7)*1\/3. Which is the biggest value? (a) 6 (b) x (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + l + 586 = 0, -3*l = c - 6*l - 584. Suppose 5*h = c + 713. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 56\/22977 and 88\/21645.\nAnswer: 1493505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3 - -5. Let c be 10\/4 + (-1)\/g. Solve w - c*h = 1 - 2, -h = -5*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2013477343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mff when three letters picked without replacement from ffffffmfffffffffff?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3 - -18. What is the least common multiple of 27 and w?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -640362 and 10309?\nAnswer: 650671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 - 4*b + 8. Let m be ((-3)\/2)\/(9\/24). What is the lowest common multiple of 20 and x(m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1178 and 20.\nAnswer: 11780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes before 10:46 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 2 = -4. Suppose -16 = -2*o - m*o. Suppose 704 = o*x + 4*d, -d = -2*x + 3*d + 376. Calculate the highest common divisor of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -32820*a**2 - 612*a. Let u(o) = -1427*o**2 - 27*o. Give 136*u(f) - 6*v(f).\nAnswer: 2848*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 + 8. Let v = 3\/10 + 1\/5. Do w and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -40.4 + 36. Let o = 1.1 + z. Let r = -3.5 - o. What is the third smallest value in -12, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7206 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 18.3404 litres?\nAnswer: 18340.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3823? (a) 5 (b) -3\/76 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 597170657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 + 6. Let c(z) = -z + 1. Let x(j) = 2*j - 2. Let w(a) = -10*c(a) - 4*x(a). What is w(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 19*d**3 + 2*d**2 - 15*d + 61. Give j(3).\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/98658 and -34\/2778867?\nAnswer: 16673202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 310*r - 3949 = -49*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1075 - -1074. Let z = -65 + 36. Which is the smallest value? (a) -4 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, j: 2, b: 1}. What is prob of sequence rjj?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4288 - -13149. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -30. Calculate the remainder when 31 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes before 10:23 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*s**2 - 71*s + 85*s - 50*s**2 + 1344*s - 5*s**4 wrt s.\nAnswer: -60*s**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5510304 - 21?\nAnswer: -5510325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n + 1. Let u be 4\/(21\/(210\/40)). Let k(t) = -2 + 2 - 5*t + 4. Let x(l) = u*k(l) - 4*g(l). Let q(r) = -19*r**2. Calculate x(q(o)).\nAnswer: 19*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -227*h**4*j - 9*h**3*j - 4*h**3 + 3054*h**2*j - h**2 wrt h?\nAnswer: -5448*h*j - 54*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0024337647 to six dps.\nAnswer: -0.002434","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from swwwwwlwhwawtwatawaw. What is prob of sequence whw?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1402 + 1432. What is the highest common divisor of 3810 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*k + 16*k**4 + 5*k**3 + 22*k + 14*k**4 + 36*k - 32*k**4 to s*k**2 + x*k**4 + g + l*k + j*k**3 and give l.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 21400 to the power of 1\/2, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 24076 + 15524 = 0. Let u = 14004 - c. Suppose -5*i + y = -13998, -4*i + y = u - 17282. Round i to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -221302 (base 6) to base 12.\nAnswer: -a832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, -5\/3, -68445?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 88 = 3*h, 4*h + 0*h + i = 92. Find the third derivative of 28*x**6 - h*x**2 - 12*x**2 + 5*x**2 + 11*x**6 wrt x.\nAnswer: 4680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, e: 3}. What is prob of picking 2 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-8)\/4 - 4\/(-6). Let y be (-66 - -42) + 5 + 18. Which is the nearest to 0.4? (a) r (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - 1. Suppose o*l = 2*v, -3*l + l = -5*v + 11. Suppose -2 = v*f - 4*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ububbbbbbu?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3282560 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/44531256 and 41\/44?\nAnswer: 44531256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -110aa1 + 4?\nAnswer: -110a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-245)\/(-3) + -1 + (-36)\/(-27). What is the second derivative of 2 + 0*q**4 - 2*q + 78*q**5 + 3*q**4 + 0*q**4 - v*q**5 wrt q?\nAnswer: -80*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from boobobbbojjebjjbejo. What is prob of picking 3 b?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**2 - 25*p - 105. Let s be q(-4). Solve -5*t = r + s, -3*t - t = -r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - -640177858.\nAnswer: 640177858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c = 29 + 10. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -5 + 82*s + 4*s**2 - 156*s + 76*s. Suppose 4 = 2*i + 2*i. Let f(h) = h**2 - 1. Let m(y) = i*w(y) - 5*f(y). Find the second derivative of m(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 504 is divided by 210.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 24 + -4. What is the remainder when 77 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x**2 - 6*x - 28. Calculate j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from brtqqhhbqqbqqrqbhhtq. Give prob of picking 1 t and 1 b.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 149736222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/5 at least as big as -241\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 622 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 + -cd1?\nAnswer: -ccc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 5*z + 6 = -z, 3*v = 4*z - 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -338, -1546, -3924, -7772, -13390, -21078, -31136, -43864?\n\"Answer: -50*x**3 - 285*x**2 - 3*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3 and 7670.\nAnswer: 23010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and 4476856.\nAnswer: 2238428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4712625 divided by -188505?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {e: 13, i: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 213.258 - 0.758. Round p to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -34c1 (base 16) to base 8\nAnswer: -32301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes after 3:13 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**2 + 4*t - t + t + 1. Let h be w(4). Let i = 18 + -14. What is the nearest to h in 1, i, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*u**2\/4 - 15915*u\/4 - 161811\/2 = 0. Calculate u.\nAnswer: -461, -234\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 201\/7 in 3, 1913, 6\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1079397916 to the power of 1\/2, to the nearest integer?\nAnswer: 32854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*l - l - 6*l - 3)*((7*l - 2*l - 3*l)*(-3*l**2 + 5*l**2 + 0*l**2) + l**3 + l**3 + 0*l**3 + 259356*l**3 + l**2 - 259911*l**3 - l**2).\nAnswer: -1098*l**4 + 1647*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -22*k**4 + 6021256*k**3 + 1980*k + 71696.\nAnswer: -264*k**2 + 36127536*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 t when three letters picked without replacement from ttyyttttttttytytty.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 65.8 + -61. Let t = z + -2.9. Let d = t - 1.89999996. Round d to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**2. Let w(v) = -59*v**2. Give w(d(b)).\nAnswer: -59*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -19 - (-9 - (-3 + -1) - -3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*3*(sqrt(176) + -3) + -4 + 6*(-3*sqrt(176) - sqrt(176)) + 5)**2.\nAnswer: 3360*sqrt(11) + 26569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 104\/5? (a) 0 (b) 8 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 2*u**3 + 120*u**2 - 116*u + 37. Calculate g(-61).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f**3 + f**2 + f. Let t(v) = -9*v**3 + 12*v**2 + 9*v. Let j(i) = 12*b(i) - t(i). Factor j(r).\nAnswer: -3*r*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(600) - (sqrt(600) - ((sqrt(600) - -1*sqrt(600)*6) + sqrt(600))) - sqrt(600)*-1*-3)\/(sqrt(27)\/(sqrt(72)\/(sqrt(40)\/sqrt(5)))*-6))**2.\nAnswer: 1277\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -200550 (base 7) to base 16.\nAnswer: -8466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + 2*g + 18. Suppose -5*o + 2*m + 592 = -0*m, 0 = 2*o + 3*m - 252. Suppose -8*z + 3*z = -o. What is the remainder when z is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 205131927 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -2*m**2 - 6*m + 2. Let q(p) = 4*p**2 + 11*p - 3. Suppose -5*v + 6 = -4*v. Determine v*q(l) + 11*x(l).\nAnswer: 2*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 240251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 15, 5\/9, -66, 0, 10 in descending order.\nAnswer: 15, 10, 5\/9, 0, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8456 is divided by 4727.\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -201 + 280. Calculate the remainder when s is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 475083 and 6538?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -931 + 1126.7. What is c rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12*-11793240.\nAnswer: -141518880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.049 - 38.049. Let x = o - -33. What is the smallest value in x, 4, 2\/7, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.27 - 0.23. Let h = c - -2.4. Let p = h - 2. Sort 0.3, 0.1, p in ascending order.\nAnswer: p, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.1 - 0.1. Which is the third smallest value? (a) 0 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 42, 3103, 0.034, 5?\nAnswer: 3103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -61 - -61.000111. Round n to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 217\/293 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10643078?\nAnswer: 2, 19, 379, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 3951 + 799 = 0. Does 95 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1210201112222 (base 3) to base 10\nAnswer: 959039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4479*i**4 + i**2 + 12462*i.\nAnswer: 53748*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7181253145?\nAnswer: 5, 11, 59, 389, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3301061.\nAnswer: 421, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gjoeo. Give prob of sequence eog.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4474.57 + 4474.6. Let t be (-15)\/7 - (-1 + -1). Let n = -0.3 + 0.2. Sort n, t, f, 5\/2 in descending order.\nAnswer: 5\/2, f, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 764 (base 14) to base 15\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 28.9257014 to 0 decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -p + 16. Suppose 0 = -t + p*w - 233 - 50, 3*t + 4*w = -785. Is ((-6)\/3)\/(6\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 7 = -0*o - 8*o. Sort -9, 121, o.\nAnswer: -9, o, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/5? (a) -8 (b) -9230 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ut when two letters picked without replacement from {u: 2, n: 1, y: 2, t: 6, l: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 284 or 255?\nAnswer: 255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 134448480?\nAnswer: 2, 3, 5, 73, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 n when three letters picked without replacement from ntntnnctttntnttttnn?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0087042904 to five decimal places.\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 4111 (base 10) to base 8.\nAnswer: 10017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.108 + -0.008. Which is the closest to -2? (a) 0.2 (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**2 - 2*h**2 - 2*h**2)*(h - 2 + 2) - h + 4*h**3 + h + h**3 + h**3 + h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 58*x**6 + 53*x**2 - 2*x**5 - 58*x**2 + x**5 wrt x.\nAnswer: 6960*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 - 5*q**2 + 4. Let t be o(-5). Suppose t*i = 2*x + 2*i - 4, i - 8 = -x. Suppose 2*c = z, -c - 2*c = x*z - 65. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of -1*1 - (-7)\/1 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gigigiiiiii. What is prob of sequence ggii?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 17*p + 1053. Let f = 79 + p. What is the closest to 0.25 in -1, f, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3702 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 55105 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7905 and 2910?\nAnswer: 1533570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*i**4 + 10*i**4 + 0*i**5 - i**2 + 2*i**5 + 2*i**3 - 5*i**2 - 4*i - 8*i**4.\nAnswer: 2*i*(i - 1)*(i + 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*t - 61 - 17 = 0, 195 = 5*g - 4*t. Let a = 62 - g. What is the remainder when 44 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -1948*b + 173367. What is i(89)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/11, -180, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1604460 divided by 10.\nAnswer: -160446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 32*n**2 - 153*n - 455. Give l(-3).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - d = 57. Let i = 43 - d. Suppose -61*b + 39*b - 325 = -47*b. Calculate the remainder when i is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/4*-2*0. Suppose v = -2*l + q - 2 + 23, -l + 2*q + 15 = 0. Is 16 a factor of (174\/9)\/(3\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -224 + 1a?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1791775*c**2 + 8291130?\nAnswer: -3583550*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100011111010100011110110011100 - -10?\nAnswer: 100011111010100011110110011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:55 AM and 7:17 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = -3*u - 3*j + 14, 4*j = -2*u + 20. List the prime factors of ((-12)\/u)\/(33\/(-176)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 PM and 6:28 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -h**3\/4 - 153*h**2\/4 - 5775*h\/4 + 5929\/4 = 0.\nAnswer: -77, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 - 12 + 29*g)*(11*g**2 - 1 + 1) - g**3 + 6*g**3 - 4*g**3 + (0*g**2 - 2*g**2 + 3*g**2)*(3*g - 4*g + 3*g) - g + g**3 + g.\nAnswer: 323*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 11, 18070 in descending order.\nAnswer: 18070, 11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-69 - (49 - 30)) + 31?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 922593187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 - -1041?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 251050, 1004343, 2259846, 4017571, 6277530, 9039735, 12304198?\nAnswer: 16070931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the first derivative of n**4\/4 - 34*n**3 + 1350*n**2 - 5000*n + 46. Factor w(f).\nAnswer: (f - 50)**2*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) 131 (c) -2\/7 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 PM and 5:41 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*p**3 - 36 - 30 + 85 - 36*p - 30.\nAnswer: -3*p**3 - 36*p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 23917816133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the third derivative of u**5\/60 - 5*u**4\/24 + 5*u**3\/6 + u**2. Let t be q(4). Suppose -3*s + t = 13. Let w(h) = -h**2 - 5*h - 6. Give w(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 679727796.\nAnswer: 2, 3, 11, 17, 302909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 PM and 2:40 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -c**3 + 0*c**3 + 4*c**3 + (c**2 + 0*c**2 + c**2)*(5*c - 2*c - c) - 2*c**3 - c**3 + 5*c**3.\nAnswer: 9*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 23*i**3 - i**2 - i + 1. Let n be j(1). Let q = -15 + n. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 3 = -0*d - d, -5*c - 3*d = 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7 and 779433571.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 17806 (base 10) to base 11\nAnswer: 12418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 25 and 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 3:00 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:36 PM and 11:41 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 119*k**2. Let i(s) = 1076*s**2 + 1067*s**2 - 3204*s**2 + 1068*s**2. Determine q(i(p)).\nAnswer: 5831*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 11:15 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -196, 5, 3, 12 in decreasing order.\nAnswer: 12, 5, 3, -196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*o - 269 = -49. Calculate the lowest common multiple of 40 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-13)\/11 - (-1548)\/3311.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 70*a**2 - 72*a**2 + 3 + 18*a**2 - 6 + 99*a**2.\nAnswer: 115*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + 121020200112?\nAnswer: 121020200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * 0.0894.\nAnswer: -0.0894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**5 - 36*l**4 - 152*l**3 + 48*l**2 + 544*l + 384 = 0. What is l?\nAnswer: -2, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 12\/(4*-21)*21\/12*207\/897\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 + -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4285584 litres in millilitres?\nAnswer: 428.5584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(50) - sqrt(5000)))**2*4*4.\nAnswer: -1440*sqrt(2) + 64816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -220 by 110.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 44 = 2*j, 0*j + 5*u + 62 = 4*j. Solve -3*x + j - 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 374 a factor of 15634132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = 306\/5 - 61. Let n(v) = v**3 + 15*v**2 - 25*v - 18. Let u be n(2). Let l = 2 - 7. What is the smallest value in l, u, x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**2 - 3*a - 2. Let p be h(4). Let j(z) = -2 + 2 - 2*z**p. Let s(n) = n**2. Give j(s(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 724, 1426, 2118, 2794, 3448, 4074?\nAnswer: 4666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 2660 (base 7) to base 15\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-56)*2*(-330)\/(-495).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3820*a**3 - 1911*a**3 - 1915*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 382151 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 10, -0.03, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 2*l. Let u(n) = -4 + 49*n + 51*n - 99*n + 2. Give h(u(c)).\nAnswer: 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48*p = -97 + 145. What is the nearest to p in 9, 0.01, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -7*s**4 - 4*s**2 - 2. Let o(a) = 13*a**4 + 7*a**2 + 3. Let g = -3 + -4. Let z(r) = g*k(r) - 4*o(r). What is the derivative of z(u) wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, g: 1, q: 1, i: 2}. Give prob of picking 1 q and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**2 - 12*k - 5. Suppose -2 = j - 5, -3*s = -4*j + 45. Let l be w(s). Solve -2*u - u = -l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = 23 - 16 + 15 - 38 + 15. Suppose -14 = 2*w + 4*x, 0*x - x - 4 = 0. Let t(j) = -j + 3. Determine w*t(q) + 2*l(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y + 23 + 69. Let h = y - 11. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l**(-3)\/l*l)*l*l\/(l*l**(-4)*l*l)*l)**25*(l*l**(-1\/4)*l*l\/((l\/(l\/(((l\/(l*l**(-5)))\/l)\/l*l))*l)\/l))\/(l**(-2)\/l**(1\/2)) assuming l is positive.\nAnswer: l**(805\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -78607 or -77475?\nAnswer: -78607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 11440420 + 35?\nAnswer: 11440455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 75352480 and 350.\nAnswer: 376762400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(160) + sqrt(160) + 1*sqrt(160))*-2*5)\/(sqrt(200)*2*-3) + -5.\nAnswer: -5 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 2*w - 537 = -561, a - w = -9. Factor -3\/2 - 1\/4*v**a - 5\/4*v.\nAnswer: -(v + 2)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41101649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**2 + 10*q - 14. Suppose 28 = -2*y + 2*f, 0 = -y + 4*y - 2*f + 38. Give n(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 24706780 divided by -2470678\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1388*b**2 + 137*b - 2*b**3 - 1162*b**2 + 10*b wrt b?\nAnswer: -12*b + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -35109, -35113, -35127, -35157, -35209, -35289, -35403, -35557?\nAnswer: -35757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2458016 is divided by 18481.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c**2 + 3269816*c + 3269812.\nAnswer: 4*(c + 1)*(c + 817453)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of -6647*c**2\/2 - 58*c - 44. Let b be a(-14). Round b to the nearest one thousand.\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/(-2) - 342\/(-12). Suppose 4*q - 4*l = 4, q = -4*l + m - 2. Suppose -80*p + 1194 = 463 - 1429. What is the remainder when p is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137518 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*1*sqrt(833) - -6*(-2*sqrt(85))\/sqrt(5).\nAnswer: -26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24.5 - -24. Let w be -3*7\/35*2\/(-6). Let l = -50 - -47. Which is the closest to l? (a) n (b) w (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 896522502 to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*v + 3 = 15. Suppose -v*b = -0*b - 8. Calculate the least common multiple of 1 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -485 + 260*i - 124*i + 303*i - 663 - 178 + i**2.\nAnswer: (i - 3)*(i + 442)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (78 + -6 + -70 - (-62 - 1)) + 23.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 48664 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -327*x**2 - 314*x**2 + 956*x**2 - 314*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lyyl when four letters picked without replacement from plpppplllpyppylp.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -26 - -7 - -35 - 18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f + 3 = -2*j - 1, -5*j - 495*f + 24 = -500*f - 26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63548 is divided by 14939?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 60556.02 hours to nanoseconds.\nAnswer: 218001672000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 22*f + 1305. Calculate i(-6).\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4063 and 11711?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 6) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3512402*n + 5*n**3 + 7024765*n - 3512363*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000492737 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/((384\/272)\/12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + 22 - (0 + 1 - (-28 - -28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of -d**3 + d**2 - 3*d. Let b be l(-5). Suppose -b = -2*q + q. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 3, -4*n + 4*m = -0*n - 12. Let v be (-2 + -8 - n)\/(-1). Solve -j + 1 = 4*y, 4*j - 3*j = 5*y + v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*l - l - l)*(2*l**2 - l**2 + 0*l**2) - 21*l**3 - 105*l**2 + 105*l**2 + (3*l + 2*l - 4*l)*(5*l**2 - 4*l**2 - 3*l**2).\nAnswer: -25*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add -25936926 and -3.\nAnswer: -25936929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 970 is divided by 116?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2107 is divided by 515?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + l + 55 = 0, 2*r + l - 26 - 4 = 0. Let t(q) = -q**2 + 34*q + 65. What is the hundreds digit of t(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*p**4 - 68*p + 68*p)*(26 - 57 + 3 + (1 - 4 + 5)*(8 - 3 - 1) - 1 - 3 + 5).\nAnswer: 38*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s\/(s**(-3\/4)*s)*s*s)\/s)\/(s\/(s*s**(-5))))**50)**(-27) assuming s is positive.\nAnswer: s**(8775\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1\/2)\/(1\/(-2)). Let h = 154\/57 - 2\/57. Which is smaller: u or h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes after 12:34 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*p + 83 = 76 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3 - 3ba70?\nAnswer: -3ba73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 295234921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + 4*w - w)*(-2*w - 2*w**2 + 2*w) + 4*w**3 - 2*w**3 + 0*w**3 - 3662*w**3 - 1550*w**3 - 10227*w**3.\nAnswer: -15441*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -212 (base 3) to base 4\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7\/22? (a) 0 (b) -3 (c) 2\/13 (d) -2\/217 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 27 - (-4 - (4 - 4)\/(-3)). Suppose -2*t + u = -0*t + 3*j, -48 = -3*t - 4*j. Calculate the remainder when 139 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 + 2*x**2 + 69. Let u be z(0). Solve 0 = 59*w - u*w - 30 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 8, 0.01, 0.4, 2.937, 7?\nAnswer: 2.937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 63\/6670 and 41\/7337.\nAnswer: 73370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the second derivative of -49\/135*v**6 + 2 + 7\/9*v**5 - 20\/27*v**3 - 4\/9*v**2 + 1\/18*v**4 - 27*v. Factor g(b).\nAnswer: -2*(b - 1)**2*(7*b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 3*u - 34. Let n(l) = 81*l**2 - 36*l - 12. Let x(h) = -7*h**2 + 3*h + 1. Let s(c) = -5*n(c) - 60*x(c). What is m(s(b))?\nAnswer: 45*b**2 - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -6*o + 3. Let q(t) = 4*t - 2. Let z(n) = -3*a(n) - 5*q(n). Let v = -11 - -22. Let r be v\/(-33) - 4\/6. Calculate z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 910 and 168175735.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -12, -31, -68, -129, -220, -347, -516, -733?\n\"Answer: -h**3 - 3*h**2 - 3*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 11 = 1. Suppose i*g + 3*v = 104, -4*g - 9 + 239 = -5*v. Let u = 39 + -17. What is the highest common divisor of g and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -c64 - -33717?\nAnswer: 32783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -270164049 rounded to the nearest 1000000?\nAnswer: -270000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ttsy when four letters picked without replacement from {t: 2, s: 10, y: 1, a: 3}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = h**3 + 13*h**2 + 23*h - 100. Give u(-10).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2470590 to the nearest integer?\nAnswer: 1572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1*-1*45\/(-150)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.07 and -1031.04.\nAnswer: 72.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*q + 21*q = 77. Let n(i) = -2*i**3 - 21*i**2 - 4*i - 38. What is the hundreds digit of n(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2904)*3)\/(4*sqrt(6)\/sqrt(2)).\nAnswer: 33*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 42*0.29\nAnswer: 12.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**2 - 8*q - 5. Let p be t(-4). Let w = p + -9. Suppose -45 = -5*m + w*b + 3*b, -4*b = -m + 12. Solve -n - m = -5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.3 + 0.1. Let k = 0.7 - -0.5. Let o = k - 0.2. Which is the closest to -0.1? (a) 1\/3 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 29*q**6 - 381847*q**3 - 46192049*q**2 wrt q?\nAnswer: 3480*q**3 - 2291082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15 + (-598)\/39)*(-1)\/(((-42)\/306)\/(-7)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, a: 1, x: 1, n: 2, o: 8}. Give prob of picking 2 n, 1 a, and 1 x.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 3323*j**2. Let o(l) = -115*l. Calculate o(r(d)).\nAnswer: -382145*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:33 PM and 11:11 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 212289 or -2328?\nAnswer: -2328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -14*p + 60. Suppose 5*x + p = -4*d - 3, d = -2*x. Is (-1476)\/(-2) - (d + (0 - -5)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 17 + -12. Let v be (-2)\/n*(3 + -8). Solve -3*h + 5 = 3*q + v*h, 0 = -q + 4*h + 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 20 = -4*y, y - 4 = 3*f - 19. Suppose 2*b - 3*a + 11 = y, 10*b - 5*b = 3*a - 5. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74571 greater than or equal to 74605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(((o**(-2\/15)\/o*o)\/o)\/o)*o*o)**(-3\/5))**29 assuming o is positive.\nAnswer: o**(-2233\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 629*b - 1. Let g be d(-1). Let l = 1293\/2 + g. Let v = 1057 - 8467\/8. Find the common denominator of l and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 246804068 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -142 divided by 954\nAnswer: -71\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 14) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**3 - 4*v + 13*v**3 + 4*v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 204396*u - 204396*u + 513 + 43*u**2 with respect to u.\nAnswer: 86*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0 + -9. Is -8 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n - 23545*n**2 - n + 11773*n**2 + 11775*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13.4 + 6.2. Let d = a + -20. Suppose 0*k - 2*o = -2*k - 8, 3*o = 9. Sort 3, k, d.\nAnswer: k, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yg when two letters picked without replacement from bybycgiiybb?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -27 (base 13) to base 3.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the first derivative of 57*z**4\/4 + 31*z**2\/2 + 56. What is the second derivative of d(p) wrt p?\nAnswer: 342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -235 - -238. What is the closest to 1\/2 in a, -6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and -5186?\nAnswer: -20744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9992 + 17310. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16\/(-196))\/((-8)\/28)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -12 + 1512?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (82*y**3 - 9 - 38*y**3 - 46*y**3)*(y - y + 2*y).\nAnswer: -4*y**4 - 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*k**2\/7 + 4051252*k\/7.\nAnswer: -4*k*(k - 1012813)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 90 and 9130300.\nAnswer: 82172700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:41 AM and 12:35 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 26314874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -941 - -939. Which is the nearest to q? (a) -3 (b) -1\/8 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 281 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1260630215 to the power of 1\/3, to the nearest integer?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -1010101011 (base 2) to base 16.\nAnswer: -2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 481623225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (-732)\/(-756) - (-2)\/35*-1*15\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12\/42 + 0 - (-160)\/28. Solve -s*o - 15 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/18*(-5 - -2). Which is greater: a or -56?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the second derivative of g**5\/20 - 5*g**4\/6 + 5*g**3\/3 + 3*g**2\/2 - 2*g - 10. What is v(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1893 and 117.\nAnswer: 73827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3ea7 + -425?\nAnswer: -42cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -196 + 11 - 395 = -29*o. Solve -4*y = o - 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 - -9. Let b = 4 + -4. What is the second derivative of -6*d**4 + b*d - d + s*d**4 wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2*f**2 - 5*f + 3. Let g = 8 - 10. Let l be (-3 - -11) + -5 + (-1)\/1. Let x(b) = -2*b + 2 + 25*b**2 - 44*b**l + 20*b**2. Calculate g*j(v) + 5*x(v).\nAnswer: v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find a such that 4*a**2 + 99923472*a + 624043766033424 = 0.\nAnswer: -12490434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(24)*2)\/(sqrt(12) - 2*sqrt(12)*-2)*3.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 + 6. Suppose -10*g + 9 = -7*g. Let w(h) = 3*h**g + 6*h**3 + 2*h**b - 1 + 0. Calculate w(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify b\/b**(-18\/11)*b*b**(-1\/9)*b assuming b is positive.\nAnswer: b**(448\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are 335 and 41310 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 58*l + 1150067. Is k(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the third derivative of d**5\/12 - 7*d**4\/24 - d**3\/6 - 13*d**2. Is z(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-18)\/(-12))\/(-4 - -1). Let u = -71.2 - -76.2. Which is the second smallest value? (a) u (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s + 5. Let w(f) = 2*f + 12. Let x(i) = 5*g(i) - 2*w(i). Let a(h) = 5*h + 5. Let t(n) = a(n) - 3*x(n). Let k(z) = -3*z**2. Give t(k(q)).\nAnswer: -6*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 0 + (sqrt(1573) + 1 + -4 - (-2*sqrt(1573) + 1))*1)**2.\nAnswer: -264*sqrt(13) + 14173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 78219, 156851, 235471, 314073, 392651, 471199, 549711?\nAnswer: 628181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 4*d + 4*d + 0*d + 111 + 4*d. Let v be a(-9). Let c = -3 - -7. Solve f + 4*s = -2, s - v = -4*f - c*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(153) + sqrt(153) + 1 + sqrt(153))**2 + (-3 + 1 + sqrt(17) + -4)**2 + 3.\nAnswer: -30*sqrt(17) + 1434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 2*h - 12. Let y be g(9). Suppose y*o - 144 = -3*o. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -776567, -776170, -775771, -775370, -774967?\n\"Answer: m**2 + 394*m - 776962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3059647414?\nAnswer: 2, 167, 9160621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 3366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 + 1 - (-2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3795966959.\nAnswer: 829, 4578971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49627171, 49627165, 49627169, 49627189, 49627231?\nAnswer: 49627301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*23*(-8)\/4*15\/(-900)*-30.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 788 divided by -4.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*((d**(-2\/19)\/d)\/d)\/d)\/(d*d\/d**(-2)))\/((d*d**(1\/6)*d)\/d**5) assuming d is positive.\nAnswer: d**(-373\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -163*u + 191*u = 84 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -14*v**2 - 197*v - 113. Give m(-14).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 1 = -y + 2, -y + 2*q + 1 = 0. Let s = 80048 - 1520911\/19. Let v = -1.2 - -0.2. Which is the closest to s? (a) v (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 440*t. Let p(n) = -10*n. What is p(u(z))?\nAnswer: -4400*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - -2)*(1 + (-14)\/16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (46\/14 - 3)*(-2 + 9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1773957 - -0.31?\nAnswer: 0.4873957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*s - s + 3 + 3*s - s**3)*(-14*s**2 - 15*s**2 + 11*s**2).\nAnswer: 18*s**5 - 36*s**3 - 54*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -4*n**2. Let u(k) be the first derivative of k**3 + 1. Calculate u(c(o)).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 157*x**2 + 19*x + 20. What is the tens digit of k(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**2\/3 - 958*c\/3.\nAnswer: 2*c*(c - 479)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.3*7437\nAnswer: -2231.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4077 is divided by 2036.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -48 times 0.353\nAnswer: -16.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, d: 3, i: 3}. What is prob of picking 1 n and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -z + 2*n - 13, -1469*z - n + 11 = -1471*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-197 - -1)*190\/(-152). Calculate the highest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29822.01 decades in years?\nAnswer: 298220.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4147 + 4147. Sort -25, g, -1, 5 in decreasing order.\nAnswer: 5, g, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -257, -245, -215, -167, -101?\n\"Answer: 9*v**2 - 15*v - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -17 + 7. Let h be 8\/l*1\/4. Let n = 2\/127 - -220\/2159. What is the third smallest value in n, -0.5, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m**3 - 6*m**2 + 6*m - 3. Let b be v(-7). Let f be b\/14 - (-132)\/28. Find the third derivative of 5*c**2 - 7*c**2 - c**5 + 7*c**f wrt c.\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 8*u + 1286 = 3*w, 5*u - 1298 = w. List the prime factors of u.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = p**3 + 22*p**2 + p + 17. Let s be q(-22). Put -1, -7, s in ascending order.\nAnswer: -7, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -207c71 (base 14) in base 5?\nAnswer: -240103212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9230 + 9230 - 3*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -75347*z + 75347*z + 62*z**3.\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 3*d - 54, -2*d + 63 = -2*n + 83. Suppose -5*a + 22 = -4*o, 3*o = -4*a - a + 36. What is the highest common divisor of a and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 26*b - 73. Let c be r(28). Let n be 1 + (1 + 1 - c\/225). Which is smaller: n or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-3 - 0) + (-1103)\/(-182). Let w = z - 12\/91. Let b = 1\/1456 + -6969\/1456. Calculate the common denominator of b and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*s + 552 - 184 = 0 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 49 - 10 = -4*c, -3*c + 30 = k. Suppose 2*o + 20 = -3*o, -o + c = 3*i. Solve l = i*l + 5*n - 4, -l - n = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 32, 203, 664, 1559, 3032, 5227?\n\"Answer: 24*b**3 + b**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2590*f - 2005*f - 46800 for f.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d*d**10*d)\/(d*d**(-11)))**(-6))**(-1\/26) assuming d is positive.\nAnswer: d**(69\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 32964 and 2010.\nAnswer: 164820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 8 + 1. Suppose 4*l + v = -5*x - 36, 5*x + 45 = -3*l. Is 15 a factor of (6\/4)\/(x\/(-354))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 0)*(2*i**3 + i**3 - 6*i**3) + 2*i**3 + 0 + 0 + 2*i**3 - 2*i**2 + 2*i**2 + (-1 + 2 - 5)*(5*i**3 - 4*i**3 - 2*i**3).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 425877, 3, -14 in decreasing order.\nAnswer: 425877, 3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that 3*h**5 + 4*h**4 - 89*h**3 - 246*h**2 - 72*h = 0.\nAnswer: -4, -3, -1\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1.2 + -0.2. Let p = 0.11 + 3.89. Let w = -11\/4 - -5\/2. Which is the biggest value? (a) j (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 682.9075m in millimeters?\nAnswer: 682907.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 249 and 379456?\nAnswer: 94484544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -2*j - 9. Let n be d(-6). Let l be 3 + (3 - (7 - n)). Suppose 2*t = -4*p + 118, -t + 4*p - 65 = -l*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -19.7? (a) 1\/62 (b) 1\/6 (c) 1\/11 (d) -1 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*c + 4*c + 2*c)*(1 - 6 + 4)*(1 - 2 + 3)*(-8 - 1 + 1)*(-3 + 3 + 1)*(52*c - 232*c + 53*c).\nAnswer: -4064*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 + 6. Suppose x + 2*x + 3*p = f, -4*p = -4*x. Solve 0*i - i = x for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 0.8 (c) 0.07 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12958 in -4\/5, 0.4, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 3306.08664 to 1 dp.\nAnswer: 3306.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 - 7*p**2 - 11*p + 5. Let k be b(9). Let l = k - 54. Let i be 38\/l - 6\/(-21). Solve i*w - 16 = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29806358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 83320.07l to millilitres.\nAnswer: 83320070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-18)\/(-12) + 54\/4. Find the second derivative of 5*l - v*l**5 + 4*l**5 + l**5 wrt l.\nAnswer: -200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -141 - -159. Calculate the least common multiple of 72 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*f + 210 = -429. Let m = -68 + f. Solve i - m = -2*w, 4*i - 4*w + 2*w = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -60, -120, -180, -240?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 0*n - 4 = -s, 4*s + 12 = -3*n. Solve -3*t + 9 = 3*d, t - d + s*d = -1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -267 + 202 + 157 + 20.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 276 a factor of 28446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 66129960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l - 404 + 2*l - l - 181.\nAnswer: -2*l - 585","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 42411384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 169\/3600 and 163\/180?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(6\/11)\/v**(-3) assuming v is positive.\nAnswer: v**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1793*s - 2037*s - 5856 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1035e (base 15) to base 12.\nAnswer: 258a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o = -o - 10. Suppose -o*v = -3*v - 139. Let i = -82 - v. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b + 7. Let y be i(-6). Sort -2, -6, y in descending order.\nAnswer: y, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3238256837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-8)\/14 - 676\/42)*-3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -190153*b**3 - 18*b**2 + 4*b + 35 wrt b.\nAnswer: -1140918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -58864, -117516, -175958, -234196, -292236, -350084, -407746, -465228?\nAnswer: -522536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 5*c + 2. Let x = 8 + -5. Determine u(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that 2*q**2\/7 - 7441912*q + 48459297438776 = 0.\nAnswer: 13023346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19407.\nAnswer: 3, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the third derivative of 173*h**4\/24 - 967*h**3\/6 + 226*h**2. What is the derivative of f(s) wrt s?\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/2590 and 43\/10170.\nAnswer: 2634030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -92d + 29?\nAnswer: -904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -260.90652 - 0.5?\nAnswer: -261.40652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-30)\/(-12) + 1*1\/(-2). What is the second derivative of -26*t**2 - 30*t**c + 28*t + 29*t wrt t?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24505 is divided by 673.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -3*o - 2. Let p be 6\/(-27) - (-16)\/(-9). Calculate the lowest common multiple of 10 and t(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that 2*c**4 - 350*c**3 - 6466*c**2 - 11874*c - 5760 = 0.\nAnswer: -15, -1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 2*g**3 - 10*g**2 + 6*g + 7. Suppose 2*s + 5*w + 13 = 48, -2*w = 5*s - 35. Let r(j) = j**3 - 7*j**2 + 4*j + 5. Determine s*z(p) - 7*r(p).\nAnswer: 3*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z**2 - z**3 - 2*z**2 + z)*(-7*z + 2*z + 0*z).\nAnswer: 5*z**4 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is f - 7b?\nAnswer: -6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in 2\/17, -5, 500?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -87 = -4*v + 13. Suppose -4*m + v = m. Suppose 13*x + 419 = -283. Put m, -4, x in decreasing order.\nAnswer: m, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 396972 divided by 2\nAnswer: 198486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0346607um to kilometers.\nAnswer: 0.0000000000346607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of 19.9175 and -11125.03.\nAnswer: -11105.1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2308 and 11212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 189, 330, 565, 894, 1317, 1834?\nAnswer: 2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 7, -4, 4, -37 in decreasing order.\nAnswer: 7, 4, -1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 235 and 579745.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-10*(-26)\/(-975))\/(1064\/140)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -3862014 times -69\nAnswer: 266478966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*q - 153. Let i = q + 77. Let f = -28 + i. Sort f, -0.4, -8 in decreasing order.\nAnswer: -0.4, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -143046, -286091, -429136, -572181?\nAnswer: -715226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 4*h = 171. Let x(i) = -2*i + i - i**2 + 5*i**2. Let z be x(-2). Which is bigger: z or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -89*j - 2. Let r(c) be the third derivative of 0 + 0*c**3 - 1\/60*c**5 + 0*c**4 - 126*c**2 + 0*c. What is o(r(w))?\nAnswer: 89*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes after 2:01 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + 0.5. Let j be 7\/(-3) - (44\/12 - 4). What is the nearest to -1\/3 in 0.3, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p, given that 8*p**5 + 1302*p**4\/5 + 13928*p**3\/5 + 46772*p**2\/5 - 23232*p\/5 + 2662\/5 = 0.\nAnswer: -11, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-425)\/(-150)*-18)\/((-4)\/((-4)\/(-3))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3163 at least as big as -3163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (4 + -6)*16\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 20538 - 383*q - 20538 + 10*q**3 + 1453*q + 18*q**4 wrt q.\nAnswer: 216*q**2 + 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 273 and 4480112?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 5 = 1. Sort 0, d, -2.\nAnswer: -2, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3141 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 362 + 31775?\nAnswer: 32357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y + 1. Let x(d) = -1. Calculate u(m) + 2*x(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -15253 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 47958 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r + 87. Let k be t(-33). Suppose 5*v + 2*g + 388 = 0, 55*v - 4*g + 60 = k*v. Let l = -2 - -2. Put l, -2, v in decreasing order.\nAnswer: l, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2150 and 509575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**3 - 9*j**2 + 8*j - 2. Let u be i(8). What is the third smallest value in u, 15, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.3 and -3060240.\nAnswer: -3060240.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes after 2:11 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 29763 and 866434?\nAnswer: 7797906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 144 divided by -12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1019191 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 139\/198 and -109\/3943836.\nAnswer: 43382196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 2)*(-8371 - 49*k + 8371)*(-1 - 3 + 5).\nAnswer: 147*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 9*j**3 + j**2 - 4. Let d be l(-2). Let z = d + 74. Solve 0 = -z*o + 1 + 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -8*o - 28 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-77)\/(-6) - (1155\/(-126) + 9). Solve w*u - 7*u = 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 302 - 158. Calculate the highest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 218 is divided by 77.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 + 9*p + 8. Calculate the remainder when 201\/6 - 3\/6 is divided by y(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t**3 + 6*t**2 + 3*t - 6. Let f(k) = 3*k**3 + 7*k**2 + 2*k - 7. Calculate -7*a(h) + 6*f(h).\nAnswer: 4*h**3 - 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(-5 + sqrt(171)) + 4*sqrt(38)\/(sqrt(8)\/sqrt(4)) + 2 + -4)**2 + 5.\nAnswer: -98*sqrt(19) + 985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 565398071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -32 + 28. Let k be (-5 + n + 4)*10. Let o be k\/198 + (-12)\/(-54). Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13189990*h + 3 - 3 + 13189989*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(4*3\/(-30)). Suppose v*j = 2*j + 228. Suppose 0 = 2*a - 82 - j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wiiiiiiiiwiiiiiiiii.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -33 - -10. Let w = 51 + i. Suppose -2*s = -m + 2 - w, -3*s + 57 = 3*m. Solve 5*f - s - 5 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.06, 3\/13, 15, 0.2, -4\/3 in descending order.\nAnswer: 15, 3\/13, 0.2, 0.06, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 14474213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s be 14\/147 - (1970\/(-42) - 3). Suppose 66 - s = -g. Let x be 2\/(-2*(-1)\/5). Put g, 2, x, -2 in descending order.\nAnswer: x, 2, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 411659, 823292, 1234927, 1646564, 2058203, 2469844?\nAnswer: 2881487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 224 and 553.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 46 = 16. Let h = w - 59. Let l = 54 + -105\/2. Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 + (2 - 31) + 1. Let c = v - -35. What is the remainder when 18 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -7132 divided by 110?\nAnswer: -3566\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 924 and 272712.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gzn when three letters picked without replacement from gnzgnnghzggnngs.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1389137 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -195 + 341. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 + 7*o**2 + 5*o + 1. Give k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*(-1*sqrt(272) + -3) - ((sqrt(272) + sqrt(272)*1)*-4 - (1 + sqrt(272)*1)))*-5)**2 + 2.\nAnswer: 33800*sqrt(17) + 1153427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/18 - 4262\/(-18). Suppose -o = 7*c - 4*c. Let a = -16 - c. What is the highest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-449 - -449) + -18 + -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1235 - 1236. Let y(l) = -32*l - 1 - 32*l + 21*l. Does 14 divide y(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 2*b - 1. Let t = -5 - -6. Let m be (-1 + 4 - -2)\/t. Give x(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from klkkkkkkkllk. What is prob of sequence kk?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2284)\/(-4568))\/(8\/(-3)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m + 1. Let o be l(8). Let u be 47\/(-9) - (-2)\/o. Let v(p) = -p**2 - 6*p + 2. Is 7 a factor of v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 153 divide 6296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 2158.893mm to nanometers.\nAnswer: 2158893000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11)\/((-2)\/23 + (-714)\/782) - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -79*h + 3. Let c = 5 - -7. Suppose -5*j - c = n, 4*j + 6 + 2 = 0. Is u(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3 - 37162*m**2 + 172682510*m - 517713126.\nAnswer: 2*(m - 9289)**2*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -808 (base 10) to base 13\nAnswer: -4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -573*g + 1024. Determine m(4).\nAnswer: -1268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 27*n**2 + 32852*n - 4151978.\nAnswer: 54*n + 32852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.868 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 32321727\/8 bigger than 4040216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 50\/2059 or 1?\nAnswer: 50\/2059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.08 + 0.1. Suppose -67 = 23*q + 71. Let n be ((-104)\/(-16) - 5) + (-3)\/q. What is the closest to 0 in n, k, -2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 12053 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.2+25707246\nAnswer: 25707245.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 140 - (-15 + -18 - -65 - -2).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d + 0*d - 58 = -2*f - 13 + 42 - 11, 0 = -d - 18*f + 112 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5883026, 5883029, 5883032?\nAnswer: 5883035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/36, 4, -3, -6, -0.2178 in increasing order.\nAnswer: -6, -3, -0.2178, -1\/36, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 AM and 3:22 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(147)\/(sqrt(567)*-5))\/(1*(sqrt(3) + ((sqrt(3) + sqrt(9)\/sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(3))*-2)).\nAnswer: sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 5*n**2 - n + 3 - 2*n + 2 + 4. Let f be c(5). Let o = f + -84. What is the remainder when o is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.89 - 0.11. Which is the biggest value? (a) 2 (b) j (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 + 3*c. Let b(w) = -2*w**2 + 4*w + 2*w**2 + 4*w**2 - 3*w**2. Give -3*b(f) + 4*l(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from ddddjzdjdd.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**0)**(-19)*n**(-7)*n**(5\/3) assuming n is positive.\nAnswer: n**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -422?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -32*v**3 + v. Let n = -3 - -2. Let h be g(n). Suppose -4*p + h = 7. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, l: 3}. Give prob of picking 1 g and 1 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 373 minutes before 11:23 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1596 - -1666. Calculate the highest common divisor of 91 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -13, -4\/23, -0.1, 9\/167 in ascending order.\nAnswer: -13, -4\/23, -0.1, 9\/167, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 4\/28 + 8\/56*(-1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(26)\/(sqrt(2) + sqrt(288)*4 + sqrt(288) - sqrt(2)))**2.\nAnswer: 13\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.8 and 33?\nAnswer: 59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = 5*h + 45, -2*u - 3*u - h + 21 = 0. Suppose 9 - u = w. Solve 0*n + 8 = 3*b - w*n, -28 = 2*b + 4*n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101101 - -1000001110001?\nAnswer: 1000000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k + 2. Let o(j) = -3*j + 13. Determine 3*h(b) + o(b).\nAnswer: -6*b + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 170436672?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jlblllllbhdllllllllj. What is prob of picking 1 d and 1 h?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -339.1 - -319. Let t = -19.9 - r. Sort 5\/8, t, 0.5 in decreasing order.\nAnswer: 5\/8, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8 and 2325249718?\nAnswer: 9300998872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 - 10*o**2 - 6*o + 4. What is the remainder when s(11) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9527, -18251, -26819, -35153, -43175?\nAnswer: -50807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -247 divided by 247?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -13*n**3 - 23*n**2 - 4100*n + 13. Let a(z) = -6*z**3 - 10*z**2 - 2047*z + 6. Give -9*a(g) + 4*o(g).\nAnswer: 2*g**3 - 2*g**2 + 2023*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, u: 3, x: 1, h: 2}. Give prob of picking 3 u and 1 h.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3916 is divided by 140.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -4*m + 3. Let d(a) = 5*a - 5. Let b(v) = 6*d(v) + 7*h(v). Give b(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 31644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6.920521 - -6.937. What is p rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/15? (a) 1 (b) 1\/2 (c) -0.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 141 = 57. Let h(r) = -s*r + 145 - 145. Let d(c) = 2*c. Give d(h(p)).\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 4*s**2 + 50*s + 6. Let w be h(-10). Let g = w + 98. Solve 2*j - 2 = -k - 3, 5 = -k - g*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -75 + 96. Let y(u) = 70*u**2 + 8*u + 9. Calculate the remainder when y(-1) is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6.7 + -6.4. Which is the nearest to v? (a) -5 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 282264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 3*f - 6 = -f, -31 = -5*r - 3*f. Suppose -c - 10 - 4 = -5*g, 5*g = -r*c - 10. Suppose 19 = 3*q - g*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -bb75 (base 15) to base 7.\nAnswer: -223526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -4, -3627, 3, 1, -103, 13 in descending order.\nAnswer: 13, 3, 1, -1, -4, -103, -3627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fpr when three letters picked without replacement from {f: 3, j: 4, q: 1, p: 2, r: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 195*y - 123*y + 372 = 103*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.16 (b) 27 (c) 2\/3 (d) -1\/4 (e) 9.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a kilometer in meters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rvvvr. Give prob of picking 1 r and 1 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 12*s = -7*s - 103, 3*s - 2*s - 8 = -4*b + 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -466\/4249 or -1?\nAnswer: -466\/4249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 218100.692 + -219962. Let k = q + 1858. Let c = k + 3.2. What is c rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lcllclulll. Give prob of picking 1 c and 1 l.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:39 AM and 4:31 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-90)\/(-540))\/(2\/96)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (25 - (-17 - -46)) + -2 - (0 + 5)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -119, -118, -117, -116, -115, -114?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 128 - 3*r**2 - 128.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 AM and 6:24 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 2757247421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {r: 1, x: 2, w: 1, a: 2, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 33 + -28. Let c(k) be the first derivative of -b + 51*k**2 - 9 - 61*k**2 - 4. Let v(g) = g**2. Calculate c(v(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2929, -3084, -3239, -3394, -3549?\nAnswer: -3704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -18 + 9. Let q = -3 + 0. Calculate the least common multiple of 4 and (-2)\/h*q*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -42.05571 * 0.1.\nAnswer: -4.205571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r + 23 - 8. Let c(m) be the second derivative of -m**5\/20 + m**4\/6 + m**3\/3 - m**2\/2 - m. What is c(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 - 10. Let d be 4 - (-2)\/(-6)*p. Let l = d - -10. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 296304 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -1235000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -2\/13, -59.68, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 13370 (base 10) to base 9.\nAnswer: 20305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.61 (b) 2 (c) 5\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 + 7*l - 7. Let z be q(4). Solve -3*a + 2 = 4*y, 2 + 3 = 5*a + z*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -609, -1243, -1861, -2463, -3049, -3619, -4173?\n\"Answer: 8*g**2 - 658*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14 - 20. Let b = d + 24. Calculate the greatest common divisor of b and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13153 + -13151. Let a be -1 + (-2)\/(-3) + 1. Let d = -5.4 - -5. What is the closest to a in d, -4, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1096095324.1 rounded to the nearest 100000?\nAnswer: 1096100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 72 - 42. Let n = u - 21. Calculate the least common multiple of 3*(8\/6 + -1) and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v**5\/v)*v**(-9)\/v)\/(v**(1\/17))**(-48) assuming v is positive.\nAnswer: v**(-173\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2307 - -3455. Calculate the remainder when n is divided by 105.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + q + 1)*(-11 + 2 + 0)*(3 - 4 - 1)*(4 - 3 + 0 + (2 + 0 - 1)*(2 + 3 + 0) - 5 + 4 - 2).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -4*r - 23, 4*u - r = 4*r + 21. Suppose -15 = -3*j, 14*a = 15*a - 5*j - 246. Does 18 divide a - (-1 + (-3)\/u + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 874, 863, 842, 805, 746, 659?\n\"Answer: -j**3 + j**2 - 7*j + 881","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14330.02999991 - 14330.16. Let y = -0.13 - o. What is y rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32661489, -32661491, -32661493, -32661495, -32661497, -32661499?\nAnswer: -32661501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 + 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from gggggeggege?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 8*g**3 + 2*g + 5*g**2 - 20*g**3 + 42*g**3 - 9*g**3 - 3*g**2 to the form x + f*g**3 + p*g + c*g**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m + 29451568 = 2*o + 29451562, 0 = -3*m + 2*o + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(-2) - 175\/(-70)*(-292)\/(-150)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8107 is divided by 7847.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(12\/(-10)))\/(2548\/(-168) - -6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16 + 97*b**5 + 308*b**3 + 14 - 33*b - 310*b**3 wrt b.\nAnswer: 1940*b**3 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 454465?\nAnswer: 5, 11, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 3*l**3 + 2*l**2 + 2*l + 1. Let i be p(-1). What is the nearest to -0.1 in -5, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 6)*(-639)\/(-355) - 181355\/(-20125).\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 249 - -4d512?\nAnswer: 4d75b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2455 (base 6) to base 13\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (222*s + 43 - 43)*(-2*s**4 + 1 - 1).\nAnswer: -444*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 18.4491917 rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1684 + 24*j**2 - 1684.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h be (6\/(-105)*3)\/(9\/(-1440)). Let -h*f**2 + 512\/7*f**3 - 512\/7*f**4 - 2\/7 + 32\/7*f = 0. What is f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*1*sqrt(76)\/sqrt(4) + -5.\nAnswer: -6*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 348*g + 50366. Give a(-147).\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u - 403 + 132 + 133 + 138.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(130)*2 + -2*-1*sqrt(130))\/(((sqrt(360) - 2*sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(360))*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26886265 and 4760?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 4. Let h(b) = -b + 1. Let n(k) = -k. Let l(m) = 2*h(m) + n(m). What is the units digit of l(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -4*d**3 - 2*d**2 - 3*d - 1. Let y be j(-1). Solve -z + 22 = y*f, -4*f + 5 = -f - 5*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (73 - i**2 - 2*i**2 + i**2)*((2 + 3 - 4)*(-2 - i + 2) + 2*i - 4*i + 4*i - 4*i - 3 + 3).\nAnswer: 6*i**3 - 219*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -121867.3652 to the nearest ten.\nAnswer: -121870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + 27*y + 224 = 0, -5*b - 9*y + 11 = -7*y - 4*y - 15 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 40*a**3*v + a**3 - 5*a**2*v + 2*a**2 + 19*v wrt a?\nAnswer: 240*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 14*j**2. Let o(m) be the second derivative of -5*m**4\/12 - 183*m. Let c = -25 - -36. Let n(u) = c*o(u) + 4*r(u). Let h(s) = 40*s. Determine h(n(a)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:31 PM and 9:34 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 8, c: 3, l: 4, v: 2, j: 2}. What is prob of sequence ljj?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 2 = -2*f - 5, 2*f + 13 = s. Let k be (4 - 3) + 8\/4. Suppose 4*o - 3*h - 13 = k*o, 5*o + 5*h = s. Solve 5*m = m + o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(60)\/(sqrt(24)\/sqrt(2))*-4.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) -0.04 (b) 7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) 3\/5 (c) -2 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y - 3*q + 6 + 5 = 0, 0 = -4*y + 5*q + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (4\/8)\/(2\/(-540)). Let o be 2\/10 + v\/50. Put -4, 0.07, o in ascending order.\nAnswer: -4, o, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 149607991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 340035 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 60 - 65. Let w = -1 - -1. What is the smallest value in 1, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3570080 divided by 842.\nAnswer: -4240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 499694 or 499669?\nAnswer: 499669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:25 AM and 8:07 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-4) + 126\/(-24). Let i = h - -5. Suppose i = 3*w - 4*v - 28, -5*v - 32 = 2*w - 5*w. What is the remainder when 6 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a**4 - a - 4*a**3 + 3*a**3 - 3*a**4)*(-111 + 38 + 51).\nAnswer: -22*a**4 + 22*a**3 + 22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(-2\/9)\/v*v)\/v)**(-4\/15) assuming v is positive.\nAnswer: v**(8\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 2*r - 9 + 0 = 0, 0 = -2*h + r + 1. Let j(m) = -3*m + 1. Let k be j(5). Let v be 1 + k\/10*1. Which is greater: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.229 - 0.119. Which is the closest to -2\/7? (a) s (b) 1\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 454 is divided by 126?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 516 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 20.83 + -21. Let v = 616.16 - 618. Let w = v + 1.64. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 63.8751 * 0.2\nAnswer: 12.77502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/2))**(8\/11)\/(b\/b**(-2)*b**(2\/13)) assuming b is positive.\nAnswer: b**(-399\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-3))\/(9\/(-648)*-4)*3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 + -20032102?\nAnswer: -20032101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes after 5:40 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 7\/7*(-12)\/36\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence svsr when four letters picked without replacement from {s: 3, v: 3, r: 1}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3881941nm in kilometers?\nAnswer: 0.0000000000003881941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36338 is divided by 35727.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 3 = -9. Let n(o) = -102*o + 243. What is the units digit of n(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 49*u**5 - 72*u**3 + 72*u**3 + (-2*u**5 + 5*u**5 - 2*u**5)*(-3 + 2 + 2) - 24*u**3 + 20*u**5 - 18*u**5 - 57*u**3.\nAnswer: 52*u**5 - 81*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 348928*b**5 + b**2 + 3*b + 24052 wrt b.\nAnswer: 20935680*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -3148 divided by -4?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 2, g: 2, l: 5, h: 2, t: 2}. What is prob of sequence hllp?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3121 or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -11*p**2 + 232*p + 125. Calculate a(22).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2964*s**4 - 22985*s**2 + 248205581*s wrt s?\nAnswer: 35568*s**2 - 45970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**2)**(1\/84)*(d**(-1\/6)\/d)\/((d\/d**(-6))\/d) assuming d is positive.\nAnswer: d**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 1546?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2.1 times 0.04?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r - 3*b + 48, 3*b + 2*b = -2*r + 23. Suppose a + 3 = 2*a - 4*f, 3*f - 3 = -a. Suppose 0 = a*l + r - 30. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -818 divided by 24399\nAnswer: -818\/24399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/4 in -203, -10, -1607?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 6854267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/(-2) - (-3)\/6 - -2. Suppose -5*c - 4 = 4*z - z, 10 = w*z - 2*c. Differentiate 3 + 3*t**3 - z*t**3 - 19*t**3 + 0 with respect to t.\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*n = 5*g + 21, 11 = 2*g - 3*n + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d - 3*d + d. Let p(b) = 2*b**2 - 6*b. Let n(y) = 10*y**2 + 10*y**2 + 0*y**2 + 126*y - 191*y. Let l(r) = -6*n(r) + 65*p(r). What is u(l(s))?\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bsctbcsbb. Give prob of sequence st.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 6160368 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16 + -8. Let u(r) = r**3 - 8*r**2 + 3*r - 11. What is the tens digit of u(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 559335184 to the power of 1\/2, to the nearest integer?\nAnswer: 23650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 41\/3, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -5.55 and -2?\nAnswer: 3.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 10, -47, -156, -329, -578, -915, -1352, -1901?\n\"Answer: -2*a**3 - 14*a**2 - a + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, 2\/7, -134, 4, 0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 900 - 503. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 546575 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7407621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 29*h - 658. Give i(23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 19723236 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 89901, 72040, 54181, 36324?\n\"Answer: s**2 - 17864*s + 107764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 72 and 3669.\nAnswer: 88056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3239212082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of -6*d**2 + 1\/4*d**4 + 16*d - 13 + 0*d**3. Factor s(a).\nAnswer: (a - 2)**2*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 2, s: 1, g: 3, w: 1, n: 7}. What is prob of picking 2 g and 1 s?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 2*j + 7 = 0. Suppose -j*k + 243 = -93. What is the highest common factor of 64 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/(-10)*(4800\/(-315))\/16?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-1088)\/(-168) + 0)\/(-1 - 1) and -37\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o - 4*o + 4. Put -2, o, 5 in descending order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 != -584.262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) be the second derivative of -29*h**4\/8 + 12*h**3 + 15*h**2 + 5*h - 89. Determine c so that q(c) = 0.\nAnswer: -10\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 138314561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3 + 61*b**2 + 228*b.\nAnswer: b*(b + 4)*(b + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2202 + 13132?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (-4)\/(-6) + 706848560\/240 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 3:38 PM and 10:58 PM?\nAnswer: 440","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Does 450 divide 3217500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1528 + -209. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gyrygggcgcrrgcgyg. What is prob of sequence yy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -25*w + 68. Is x(-9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4722714 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1380.2 - 1380. Which is the third smallest value? (a) 1\/16 (b) p (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bkbzlkblbblbikkfib. Give prob of sequence if.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z + z - 3*m - 17 = 0, 0 = 2*z + 3*m + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1035520 (base 7) to base 2\nAnswer: 11110111101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 13c3 (base 13) in base 8?\nAnswer: 5457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -39\/671566 and 63\/383752?\nAnswer: 2686264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 - 11. Suppose -n*v + 76 - 12 = 0. Suppose 4*s + 4 = v. Solve s*a - b = 17, 5*b - 2*b = -2*a - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**2 - 2*p - 18 + 9*p + 6*p**2. Let i(a) = -a**2 + 1. Let j(d) = -24*i(d) - 3*r(d). Determine h, given that j(h) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8179*f + 28 = 8176*f - 5*n, -9*f = -5*n - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(-2) - 1552\/(-3 + -5). Suppose j = p - t, -t = -4 + 2. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 276 and 1978?\nAnswer: 11868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(2) + (1*sqrt(14) + sqrt(14))\/sqrt(7) + sqrt(8)\/sqrt(4) + 3 + 3)**2 - ((sqrt(80)*2 - sqrt(80))\/(sqrt(40)*-1) + 2).\nAnswer: 338 + 241*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (70 - (3 + 7)) + -36.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 0.3, -1.3285, -1?\nAnswer: -1.3285","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -32 (b) 0.4 (c) 3\/7 (d) -1\/690 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -2*-0.124\nAnswer: 0.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3237310 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -341, -654, -969, -1286?\n\"Answer: -a**2 - 310*a - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + g)*(20*g - g + 40*g)*(0*g**2 + 2*g**2 - 4*g**2) + (-2*g**2 + 4 - 4)*(2*g**2 + 3*g**2 - 6*g**2).\nAnswer: -116*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add 135.1 and -2626598.\nAnswer: -2626462.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -5532988, -0.3, 1, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - m + 3 = -0, -2*m = -j - 6. Let z = 4 + 7. Suppose z = 3*g - 2*l - 0*l, -g + 15 = 5*l. Solve t - g = -j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -43*j + 1. Suppose 0 = 3*l + 3 - 0. Let m = 2693 - 2681. What is the remainder when p(l) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -82527.7108 to the nearest ten.\nAnswer: -82530","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -9*k**2 + 140*k - 70. Let b be y(15). Solve -b*l - 16 = -7*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is r in 4*r - 5 - 4*r**2 - 3 - 16*r = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.4591996 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrlrl. Give prob of sequence lr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of (-13)\/((-39)\/330) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by 39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 609 minutes after 2:25 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10719 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -14.31, 0, -539, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 61 + -49 - (-1 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -32, 0.2, 0.39?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put together 2790.9 and -74.\nAnswer: 2716.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v - k + 8, 3*v - 2*k + 6 = 4*v. Suppose 0 = -v*m - 4*z + 14, -3 = -3*m + 4*z - 2. Differentiate 25*x - 8 + 7 + m + 4 with respect to x.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 9*x**2 + 46*x + 26. Let f(r) = 11*r**2 + 47*r + 25. Let a(d) = -6*f(d) + 7*o(d). Determine a(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 3*b = 6 + 9, f + 1 = -3*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -3*x**3 - 4*x**2 - 15*x - 68. Let c be s(-3). Solve -5*m = 3*t - 26, 5*m + 19*t = 18*t + c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -5 + 4 + 1 - 3*b. Let q(m) = -m**2. Determine v(q(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -18067, -18069, -18071, -18073?\n\"Answer: -2*j - 18065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-8\/3)\/(b\/(b\/b**(-5\/2))))**(1\/26) assuming b is positive.\nAnswer: b**(-1\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11138.\nAnswer: 2, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000644037 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 4*u + 7*p = -120, -2*u + 84 = -u - 5*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -u - 0. Let t = 1495571\/22950 + 2\/11475. Let j = t - 65. Which is the closest to 1? (a) u (b) 0.03 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the first derivative of 3*n**2\/2 + 3*n + 5144. Suppose 2*m + 0*m + 10 = 0. Calculate u(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-1 + -1)*(-12 - -8) and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 12) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -617 divided by 171873?\nAnswer: -617\/171873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(320) + sqrt(320))*-6 + (-1 + sqrt(605) - sqrt(5)) + sqrt(80)*5)**2*1 + 3 + 2.\nAnswer: -660*sqrt(5) + 21810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -2.743841 to 3 dps.\nAnswer: -2.744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.88 + -0.87999604. What is w rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-735)\/(-231) - -9*(-2)\/6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -666 + 669. Suppose -7*j = 2*d - 4*j - 17, -4*j = -20. Let t be (-2 + 5)\/(0 + -1). Sort i, d, t, -4 in decreasing order.\nAnswer: i, d, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 26\/(-8) + (-198)\/264\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + 8*v + 35 = 3*v, -5*v - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {d: 8, f: 3, r: 2, x: 4}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = 125.75 + -125.83. What is the nearest to 1\/19 in -3\/7, k, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*h**2 - 3*h**2 + 5*h**3 - 5*h**2 - 198*h.\nAnswer: 5*h**3 - h**2 - 198*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 6 = -4. Suppose -16*u = -i*u - 33. Solve -24 = -u*k + 11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17424951449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -69989211*k**6 - 6425*k**2 + 386*k + 7.\nAnswer: -8398705320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = 4*a + 22, a = 4*x - 4*a - 88. Solve x = p + 21 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24169 is divided by 8054?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -247*i - 37. What is g(1)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + z + 98541 = 0, 4*z + 43 = 39. What are the prime factors of j?\nAnswer: 5, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -5\/2*t**2 + 3\/2 - 1\/4*t - 3\/4*t**3 = 0.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1a7 (base 13) to base 14\nAnswer: 17c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, k: 4, u: 1, y: 1}. Give prob of picking 1 c and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1*3 - (25 - 18)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -84*q + 106*q + 22 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(6*(-4 + (5 + sqrt(245)*4)**2*4) + -4)*6.\nAnswer: 161280*sqrt(5) + 2271648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -754\/369 - -20\/41. What is the common denominator of (-158)\/(-12) - 2\/(-1) and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 + -5 - -2) + -4. Let f = -0.9 - 0.1. Put v, f, 1 in decreasing order.\nAnswer: 1, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cd when two letters picked without replacement from {h: 10, d: 7, c: 1}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 28067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 11*t + 79. Let y be c(-7). Let f = 20 - 13. Solve -f*v = -y*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 37886, 152142, 342568, 609164, 951930?\nAnswer: 1370866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjgkggj. What is prob of picking 1 j and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -1b07c (base 14) in base 6?\nAnswer: -1250034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 3*v - 68 = 0, 2*w - 5*v - 4 = 8. Let a = 2 + w. What is the remainder when 52 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1402, -1417, -1428, -1435, -1438?\n\"Answer: 2*f**2 - 21*f - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -97 - -308. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*v + 3*v + v)*(-13887*v**2 - 16919*v**2 + 36752*v**2).\nAnswer: -11892*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 954872869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/((n*n**(1\/3))\/n*n*n))**(-27)*(n*n**(2\/7)*n*n)**(1\/20) assuming n is positive.\nAnswer: n**(5063\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*p**2 + 3*p - 298*p**2 + 19*p**2.\nAnswer: -288*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5 + (-2 + 5)\/(-3). Suppose v*u - 9*u = -125. Suppose 5*g = -u, 4*x - 57 = -2*g + 7*g. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:26 PM and 8:08 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -462528 minus -2?\nAnswer: -462526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.04? (a) 0.1 (b) 4 (c) -94 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -24997\/10 + 2494. Let g be 4\/10 + 367\/(-5). Find the common denominator of c and (g\/2 - 1) + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 274 = u - 377. List the prime factors of u.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(200) + -2 - (sqrt(8)*3 - (-1 + sqrt(2))**2*1)*-1.\nAnswer: -8 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 30*u - 2. What is m(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -334342 or -329966?\nAnswer: -329966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/12*(-3)\/(-3))\/((-145)\/580)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 1\/4, 2\/5, -10, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + 9 + 8 + -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 2085545166101 - 5.\nAnswer: 2085545166096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7480 or -7476?\nAnswer: -7476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*g + 3*t - 6 + 12, 2*t - 3 = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -8971560 rounded to the nearest 10000?\nAnswer: -8970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 310 and 50530.\nAnswer: 50530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28680)\/717*(-4)\/5.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 7 = 4*d. Let k be (2\/d)\/((-8)\/14). What is the biggest value in 3\/2, k, 0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 51.1 - 13.1. Sort -3, -1\/3, z.\nAnswer: -3, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 96 (base 14) to base 6\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 15 = 0, 3*k + 3*g = 4*g + 20. Suppose 0 = j - a, -k*j - 3*a = 2*a. Which is smaller: 1\/24 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from jjcjgjgju.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the third derivative of -18 - 3\/32*k**4 - 7\/12*k**3 + 0*k - 1\/240*k**5 + k**2. Suppose a(f) = 0. Calculate f.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -47674.1 rounded to the nearest 100?\nAnswer: -47700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.5 + -0.5. Let t = -138 + 1516\/11. Let x be -2 + 1 + (-20)\/(-28). Which is the third smallest value? (a) h (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 0.1, -2\/3, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 15 = 0, v - 4*v + 9 = 4*j. Let x = 3 - -13. Suppose 2*p - x = -j*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 74 divide 15647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rsarsrrfrarffls. What is prob of sequence ff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -2*z**3 + 3*z**2 + 13*z + 26. Let v(k) = -k**2 - 22*k - 78. Let a be v(-18). What is the hundreds digit of i(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*o**3 - 2644*o**2 - 4089*o - 54746960?\nAnswer: -6*o**2 - 5288*o - 4089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (15\/(45\/(-4)))\/((-4)\/210). Suppose -3*p + c = 4*p. Calculate the remainder when 15 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b - 21*h - 45, -1923*b = -1928*b - 2*h + 28 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 64 - 46. Let q = -17.9 - -18. Which is bigger: y or q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 38 + -38 - (8 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = v + 1. Let n = 66 - 24. Suppose 3*q = n + 30. What is the remainder when q is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t**3 + 8*t**2 + 8*t - 5. Calculate h(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 117023.225 to the nearest one hundred.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1243940 and 40180.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 11 = 17. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 294 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 129 a factor of 348300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 660510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -406*f + 0*f**2 - 1105*f**3 - 3*f**2 + 1136*f**3 + 2*f**2.\nAnswer: 31*f**3 - f**2 - 406*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2 - -1 - (-3 + 22 + -14)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0875224*-0.2.\nAnswer: 0.01750448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0.2, 0.4, -2\/13, 7\/17?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of -70*l**2 - l + 15. Is k(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -4*z**3 + 7*z**2 - 12*z. Let w(r) = 22*r**3 - 21*r**3 - 21*r**2 + 4*r + 19*r**2. Give -2*m(j) - 7*w(j).\nAnswer: j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 49 - 56. Let l(b) be the second derivative of b**3\/6 + 19*b**2\/2 + 9*b. Let p be l(y). Calculate the greatest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 97770965 divided by -622745.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 355528 divided by -24\nAnswer: -44441\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 376233 divided by 143\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4746, -19204, -43300, -77034, -120406?\n\"Answer: -4819*t**2 - t + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*i - 54 = -43*i. Suppose v = -3*q + 63, i*v + v - 238 = 2*q. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 + 25. Let z be d(7). Let -79*l + z*l - 20 + 31*l - 4*l**2 - 2*l**3 = 0. Calculate l.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**3 + 5*i**2 + 7*i - 2. Let u be s(6). Let d = -0.3 - -2. Let m = d - -1.3. Which is the third smallest value? (a) m (b) 4\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -195527.999912577 - -195528. Round m to six decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/(-90)*3)\/(42\/35)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 39317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.01 - -0.09. Let k = -17.92 - 0.08. Let s = 21 + k. Is s at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18\/63)\/(9\/(-252)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 84 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36 and 81828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -7 - -4. Let h be (-182)\/y + (-5)\/(-15). Let b = h - 20. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -12 + 2*z + 17*z**2 + 10*z - 18*z**2. Let m be p(9). Suppose 9*v + 90 = m*v. Calculate the greatest common divisor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-4)\/(-10) + 78795976\/(-8446515). Let t = 1586\/1133 - r. Let l = 23\/142 - t. Calculate the common denominator of -23\/6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 155\/2576 - -3\/112. Which is the biggest value? (a) 3 (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*m + 14*m + 65*m + 2 + 48*m.\nAnswer: 111*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3908 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1 (b) 1\/41 (c) -2\/5 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 2*i - 1 + (-i - i + 0*i)*(-2 - 2 - 1) + 2*i + 0 + 0 + (-2*i - 2 + 2)*(3 + 0 - 4).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of -4*k**2 + 9*k - 1030. Calculate i(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the third derivative of -13\/30*o**6 + 19\/2*o**4 + o + 0 - 1\/3*o**5 + 2\/35*o**7 - 12*o**3 - 7*o**2. Let b(d) = 0. What is d?\nAnswer: -2, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1511.9, -0.17, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 8:40 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59241*29.2.\nAnswer: 1729837.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 33? (a) -10 (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-4)\/(-6))\/(6\/(-9)) + 0. Which is the nearest to -1? (a) r (b) 5 (c) 0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 289, 494, 707, 934, 1181, 1454, 1759?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 19*b**3 - 2*b**2 - 2*b + 5. What is m(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 28 - 8 = 4*j, a + 4 = 2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.7 and 3.156.\nAnswer: -2.2092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uwkuwkpuwwv. What is prob of sequence pwu?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l**3 + 2*l**2 - 2*l - 2. Let g = -19 - -17. Let p be t(g). Suppose -p*n + 2*r + 16 + 40 = 0, -2*n - 4*r = -26. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-1)\/3)\/((-22)\/(-330)*55). Is -112\/11 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + ((0 - -6) + -13 - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g = -39 - 121. Let s be 1\/((-84)\/g - 4). Suppose 212 = -s*j + 9*j. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -a**3 + 27*a**2 - 91*a - 19. Calculate c(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4067 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/3*(-1)\/(-3). Solve -2*i + 5*i = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 4*a = -173, 3*o = -9*a + 5*a + 567. Suppose -10*k + o = 25. Calculate the greatest common factor of 208 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 40 + -36. Solve 3 = -u*t + 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1004501 is divided by 138.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -847 + 1280?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 16824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.192, 0.4, 1?\nAnswer: 0.192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9.5 - -10. Let l = 0.011 + 9.989. Let v = -11 + l. What is the closest to 0.1 in 1, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2949 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1553 - -1565 - (21 - (1 - 2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5fac (base 16) in base 5?\nAnswer: 1240432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 23 divided by 1013901\nAnswer: 23\/1013901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s = -1013 + 3026. Is 61 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 64 and 7608.\nAnswer: 60864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 1289 = 1350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 18\/(-10) + 0 + 2. Let l be (-8)\/10 + (-27)\/(-90). Suppose 2*m + 9*s = 8*s - 5, 11 = -4*m - 3*s. Which is the closest to -10? (a) l (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 3, s: 5, j: 2}. What is prob of sequence jssj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 - 7*c - 101. Does 5 divide u(15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 283 + -514. Let m = -122 - j. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -19*m - 3. Let w be p(-1). Let q = -12 + w. Let u(o) = -147*o**2 + q - 3 - 2*o + 0 + 165*o**2. Calculate u(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -124888, -249552, -374216, -498880, -623544?\n\"Answer: -124664*b - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 35 - 33. What is the derivative of 18 - 2*t**g + 23 - 30 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 31263141 and 345.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 29 + 95 = 0. Suppose 0 = 4*h + 2*c + 2 + 8, h + 15 = -3*c. Suppose -l - l + x = h. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 3*x + 87 = -45, -x = -5*s + 212. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from yqy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2178 = -386*v - 131*v + 5060 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6348.495 centuries in decades?\nAnswer: 63484.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1)\/(-7))\/((-687)\/1603). What is the third biggest value in 4, q, 3, -3\/2, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 16 - 12.6. Let j = p + -3.3918. What is j rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -d25 (base 16) in base 6?\nAnswer: -23325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 675225 is divided by 249.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 860597971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/((-5)\/((-20)\/6)))\/(((-588)\/27)\/(-14)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15306 + -15519. Let r be (358\/2)\/(42\/(-50)). Let p = u - r. What is the second biggest value in p, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13*(-1)\/(-2)*2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 416622738 by -4.\nAnswer: -208311369\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -56 or -705\/4?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21 + -19. Let p = 2121\/13 - 163. Factor 8\/13*a**h + 0 + 8\/13*a**3 + p*a.\nAnswer: 2*a*(2*a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1166065 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l - 2. Let u be o(-6). Suppose -7*g + u*g = -42. Suppose 21*v - 29 - 2 - 53 = 0. Solve 0 = z + 2*h, h = -v*z - 0*h + g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 132 = -5*x + 3*x, -3*x = -6. Let m = u - -110. What are the prime factors of ((-26)\/4)\/((-87)\/m + 2)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 34 + 10 = 0. Let w be (-2 - 126\/(-35))\/((-2)\/(-5)). Let j = 18 - w. What is the remainder when j is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 11 + z**3 + 9*z + 8*z - 13 + 0*z**3 as h*z**3 + o + i*z + w*z**2 and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -52 + 88. Let x = -17 + s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 5, l: 13}. What is prob of picking 3 z?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 1057 = 2*j - 7*j, -1048 = -5*j - 4*l. Suppose -3*i - 3*c - j = -593, -c = 4*i - 496. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 260 + -165. Let k = l + -23. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -4, 6, -180, 4 in descending order.\nAnswer: 6, 4, -1, -4, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -2*j**2 + 268*j + 1784. Determine n(-6).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -4*d + 2*d + 3*d + 2*d. Let c(k) = -4*k**2 - 478*k + 478*k. Determine c(q(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.2, -2\/21, 2, -7, -4\/9, 15?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + -2. Is (3 + -1)\/x*-111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 409 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (23\/(-92)*190)\/(-2*(-4)\/(-16))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 174 (base 16) to base 9\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Total of -5521462 and -0.0062.\nAnswer: -5521462.0062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/9 - 1\/3 - -1. Suppose u = 27*j - 40535 + 6866. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 92897, 185795, 278693, 371591, 464489?\nAnswer: 557387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 10068, 9328, 8074, 6306, 4024, 1228, -2082?\n\"Answer: -257*i**2 + 31*i + 10294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 181\/17 or 12?\nAnswer: 181\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 + s**2. Let l(v) = 7*v**3 - 5*v**2 + 5*v. Calculate -5*d(g) - l(g).\nAnswer: -2*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**2 + j - 6. Let w(f) = -276*f**2 + 24*f + 398. Let a(r) = 24*p(r) - w(r). What is the derivative of a(g) wrt g?\nAnswer: 504*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1\/8))**(16\/3))**(-25) assuming j is positive.\nAnswer: j**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a - 5. Suppose i = -0*z + z - 20, 4*i + 26 = z. Let p be (-8)\/(-3) + 24\/z. Let m(s) = -s - 6. Determine p*y(n) - 3*m(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 9*j + 21. Determine z, given that -4*z - j + z + 5*z + 6*z**2 + z = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the third derivative of -22223*t**6\/120 - t**5\/15 - t**4\/4 - t**3\/2 + 8*t**2. Let n be c(-3). Round n to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(19) - (-4 + sqrt(76) + sqrt(76))) + (sqrt(1900) - (-1 + sqrt(1900) - sqrt(1900))))**2.\nAnswer: 70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -318 (base 15) in base 5?\nAnswer: -10243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 17*h**2. Let o(i) = 4*i**2. Determine a(o(v)).\nAnswer: 272*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -204390 divided by 6813.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y + 11. Let k = -10181 - -10173. What is m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 42*q**2 - 4. Let u(k) = -4*k. What is u(j(x))?\nAnswer: -168*x**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28 + 22 + 44 + 3 + -26 + 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*f = 3*b + 12, -78*f - b - 5 - 11 = -77*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -4979 = -197*r - 7047 - 4433 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 3*c**5 - 1353*c**4 + 120813*c**3 + 569829*c**2 - 224670816*c - 1971066636 = 0.\nAnswer: -33, -9, 82, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 2*b - 46. What is the lowest common multiple of 5 and i(76)?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 - ((-16 - -3) + 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17, -42, -67?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 11 = -l. Let q = -9 - l. Suppose 9 = -3*w, -13 = -2*x + w + q*w. Solve x = -h - 0*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13480025 to the power of 1\/3, to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 - 1)*(4*r + 0*r - 5*r) - r + 5*r + 7*r + (-1 + 3 + 0)*(28 + 14*r - 28))*(0 - 1 + 2).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4303, -8608, -12915, -17224, -21535?\nAnswer: -25848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2 - 6447154?\nAnswer: -6447156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1.5135 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x**(3\/2))\/(x*x**(-6\/7))*(x**(-2\/5))**(-5))**6 assuming x is positive.\nAnswer: x**(183\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.11? (a) 0.5 (b) -0.0198 (c) -3 (d) 0.073 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -y**2 - y - 2. Let w(u) = -2*u**2 - 2*u - 6. Let c(j) = -j**2 + 1. Let x(a) = -c(a) - w(a). Determine 10*g(q) + 4*x(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -25 (base 10) to base 8.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 + 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9.54 + -9.7. What is the third smallest value in a, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -337, -318, -307, -304, -309, -322, -343?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 4*b**2 + 2*b + 2. Let h = -1 - 1. Calculate the least common multiple of x(h) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 10*r**2 + 2*r - 8. Let p(k) be the third derivative of -3*k**5\/20 - k**4\/12 + 7*k**3\/6 - 1170*k**2. What is -6*i(x) - 7*p(x)?\nAnswer: 3*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be (2 + -1)\/(1\/2). Let g = -9\/1100 + 409\/1100. Find v, given that 0 + 4\/11*v + g*v**f - 3\/11*v**3 = 0.\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r so that r**5 - 51*r**4 - 7*r**3 + 363*r**2 - 306*r = 0.\nAnswer: -3, 0, 1, 2, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*j + 181 - 349. What is the closest to j in -1, 1\/8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7270a616 + 3?\nAnswer: 7270a619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1688877*1\nAnswer: -1688877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**1\/(w*w**(-2)) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -v + 58 = 4*w, 367274 = -2*w + 3*v + 367114 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:45 PM and 10:52 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f - 5*f + 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 i when three letters picked without replacement from {e: 1, z: 3, s: 1, i: 2, w: 1, c: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2100 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 7 - 1 = 0. Suppose -2*u + f = -2. What is the third derivative of p**u + 2*p**2 + 5*p**5 - 7*p**5 + 0*p**5 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**2 + 7*g - 1. Calculate r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 303.9541ns?\nAnswer: 0.0003039541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*l = 10*h - 13*h + 6, -4*l + 6 = -2*h - 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q. Let k(d) = -8*d**2 - 3*d + 3. Let t(r) = -104*r**2 - 40*r + 40. Let w(u) = -40*k(u) + 3*t(u). Give s(w(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/(-28))\/(2\/(-8)). Let j = -4 + 3. Let r be j + -3 + -3 + 5. What is the nearest to i in r, -1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -4*a + 304, -3*c + 58 = -2*c - 5*a. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 269043 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -10 or 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 177418 is divided by 10436.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 1504*c - 1508*c - 2*a - 14 = 0, -18*c = -6*a + 48 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that -12*y**5 + 2728*y**4 - 148560*y**3 - 735008*y**2 - 1069056*y - 430592 = 0.\nAnswer: -2, -2\/3, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 47 and 110309?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -32392, -129566, -291526, -518272?\nAnswer: -809804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u**2 - 2*u. Let h be y(2). Suppose h = -15*g + 12*g + 9. Let s be (-6 + g)*5\/(-15). Sort -1, -3, s.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -60 divided by -258245\nAnswer: 12\/51649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-1)*-1)\/6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 269 divided by -36969.\nAnswer: -269\/36969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - (-262)\/(-52))\/((-2)\/8).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 485532041?\nAnswer: 485532041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/7757 or -38?\nAnswer: -2\/7757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -120772605 or -120772602?\nAnswer: -120772605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 24 - 909. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1694) - (sqrt(1694) + sqrt(1694) + (sqrt(1694) - sqrt(1694)*2) + sqrt(1694))*-2)\/(6*3*sqrt(448)).\nAnswer: 55*sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:38 AM and 2:50 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 101, 3, -10 in decreasing order.\nAnswer: 101, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1113 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -23933365 - -333?\nAnswer: -23933032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 6*y + 2*i - 31636, 0 = 4*y + 4*i - 25316. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1805756146?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -19.3 + 19.7. What is the third biggest value in 9, 2\/11, 0.2, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*w - 62*w + 24*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09027 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-4) - (2 + 2))*(4241 + -4224).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 2*m**2. Let u = -1 - 0. Let j(l) = -l + 1. Let g be j(u). Let s(r) = 0*r - 5*r + g*r. Calculate s(i(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 94272 divided by 2\nAnswer: 47136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*w - 4*b, 20*b = 5*w + 19*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3.52 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/(y**(-8)\/y))*y*y*y**(2\/7)\/y*y**9\/(y\/y**(-8\/5)))**(2\/27))**(-13\/4) assuming y is positive.\nAnswer: y**(299\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 697805, 1395619, 2093433, 2791247, 3489061?\n\"Answer: 697814*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wxssgsssxxssss. What is prob of picking 1 s, 1 w, and 1 g?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -168 + 176. Does 8 divide 6\/(l\/(336\/(-117)) - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2749, 2757, 2765, 2773, 2781, 2789?\nAnswer: 2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*n - 5000 = -4856 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 298 minutes before 5:10 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7.738886 rounded to two dps?\nAnswer: 7.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = k + k + 8, o = k + 5. Suppose 0 = 3*d - 8 - o, -2*r = d - 1. Let c(t) = -8*t - 1. Is c(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 49 (base 14) to base 5\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 64\/(-60) + 168\/120. What is the third smallest value in 3\/5, r, -25.4, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1899, -5, 1, -4, 6, 12 in increasing order.\nAnswer: -5, -4, 1, 6, 12, 1899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2\/((2*21\/(-56))\/((-6030)\/(-240)))\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) -3 (b) -3\/7 (c) 9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -1 + sqrt(13) + sqrt(13) + 2)**2 + sqrt(52)\/sqrt(4)*-5 + -2.\nAnswer: -13*sqrt(13) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 3 (b) -4 (c) 57 (d) 4\/21 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u - 5. Let z be (-5 + 1)*(-6)\/1. Let c = 19 - z. Give b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(-1)\/((-24)\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 54 + -52. Suppose -56 = -k*j + 76. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -1. What is the closest to -1 in 3, 2\/15, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10\/50)\/((-2763)\/(-450) + -6)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of -s**5\/450 + s**4\/36 + 14*s**3\/45 - 7*s**2 - s + 30. Factor x(z).\nAnswer: -2*(z - 7)*(z + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14944 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5830193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes before 12:09 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37921356 is divided by 193?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(200)\/sqrt(4))\/sqrt(10)*3 + -3)**2 + (sqrt(10)\/(sqrt(14)\/sqrt(7)) - (-2 + sqrt(180))).\nAnswer: -23*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -740\/357 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 19371401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1655328, -1655340, -1655368, -1655418, -1655496, -1655608, -1655760, -1655958?\nAnswer: -1656208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -122*r - 16. Let p be t(2). Let h = 261 + p. Solve 3*l = -3*w, -l + w + h = -1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -374620638.35 from -316.6.\nAnswer: 374620321.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23849629.\nAnswer: 29, 53, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(-4\/3)*(v\/v**1)\/v*v)\/(v**(-1))**8)**(-18))**(10\/19) assuming v is positive.\nAnswer: v**(-1200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1047 and 16054.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1227 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 4*x + 4 = 0, -4*o - 4*x + 25 = 1. Solve 0*q + o*q = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zlpzzdzhzldzhldhzz. What is prob of picking 1 z, 1 p, and 1 l?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 182 - 51. Let n = p - 151. Let h(s) = s**3 + 21*s**2 + 9*s - 6. Is h(n) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 6 = -l, -3*l + 0*l + 18 = -4*f. Let d be 4 + (10\/(-15))\/(l\/(-207)). What is the highest common factor of 6 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o - 19. Give i(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 492\/1595 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be -2 + 6*(-4)\/(-12). Let r = 0.079 - -0.421. What is the smallest value in -2, f, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1516 (base 10) in base 16?\nAnswer: 5ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1521 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 2*i + 2*s - 47, 2*i = -s + 21. Solve -3*p = -w - i, p - 20 + 15 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 407272 bigger than 407273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*c**2 + 2*c**2 - 6*c**2 + (-2 - 2*c + 2)*(-2*c + 3*c + 0*c) + 0*c**2 + 2*c**2 - 3*c**2 + (-2*c + c + 3*c)*(-3*c - 3*c + 3*c).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c. Let k be x(-2). Suppose -3 - 9 = k*g. Let m be (-4)\/16*g*2. What is the greatest common factor of m and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9482700 to the nearest 100000.\nAnswer: -9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/(-20)*((-16)\/(-96))\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 0, 59\/53 in decreasing order.\nAnswer: 59\/53, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 140 + 2?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = p - 4*b + 73, -2*b + 103 = -5*p. Sort 1\/3, p, 1, 4 in increasing order.\nAnswer: p, 1\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 94.91527ng?\nAnswer: 0.09491527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -1381*f**3 - 47*f**2 + 47*f**2 - 211*f**3 - 5*f - 1151*f**3 in the form l*f**2 + b + m*f + c*f**3 and give c.\nAnswer: -2743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 3*j**2 + 6*j + 7. Let l(z) = -11*z + 226. Let g be l(19). Let d(n) = 8*n**2 + 17*n + 20. Give g*k(s) - 6*d(s).\nAnswer: 3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 - 146464\/(-28) - 8\/(-280)*5. Round y to the nearest ten.\nAnswer: 5230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 3*y - 3. Let f be k(3). Let m = f - -3. Is (12\/m)\/((-2)\/(-9)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 28*h*s + 89*h + 18486*s + 1 with respect to h.\nAnswer: 28*s + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23298417 is divided by 64898?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000001028 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/568? (a) -3 (b) 22 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0427 times 56017?\nAnswer: -2391.9259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 11 = 2*y, 8 = -4*l - y - y. Let p(x) = 6*x + 9362. Let m(t) = 7*t + 12483. Let h(s) = -3*m(s) + 4*p(s). What is h(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 86*h - 4 = 2*o + 85*h, 0 = 2*o + 3*h - 28. Let q(l) = -2*l - l - 2 - 6*l**2 + 4*l. Give q(o).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the second derivative of -t**4\/84 - 16*t**3\/21 + 50*t + 2. Solve a(l) = 0.\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 52 = -15*g + 16*g, 0 = -4*b + 3*g + 35. Calculate the common denominator of -59\/357 and b.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 5*u - u - 2 = 0, 5*u = 4*w - 18. Is 22582\/(-105)*-12 - w\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -310*x + 48 = -334*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of d*z**5 - 4*d*z**3 + 2*d*z**2 + 229*d*z - 31*z**5 wrt z?\nAnswer: 60*d*z**2 - 24*d - 1860*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -0.4 (c) -110 (d) 2572 (e) 0.3 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -137 + 122. Let u be (z\/(-12))\/(1\/4). Put u, 2, 1, -1 in decreasing order.\nAnswer: u, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 15289848 = 3*y + 5*c, 20386432 = 4*y - 4*c. Let z = y - 1996611. Round z to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 23, 109809, 9 in ascending order.\nAnswer: 9, 23, 109809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k. Let d be h(3). Let p(i) = -i**2 + 8*i + 526. Let g be p(27). Do g and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70524?\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36)\/12)\/(9\/(-210)*115*-7)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 14 = -4*s + 5, -u + 4*s = -1. Let y be (0\/(-2) - u)\/((-3)\/3). Let d(k) = -k**2 - k - 2. Let p(w) = w**2 + w + 2. Determine y*d(m) + 6*p(m).\nAnswer: m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + -5 + -11 + 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5580556687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*i**2 + 150*i + 805.\nAnswer: 5*(i + 7)*(i + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 1 = 2*m, 7*m = 2*z + 3*m - 6. Let n(c) = -20*c**3 - c - 1. Let r be n(z). What is the highest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes after 8:29 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 - -30014?\nAnswer: 30011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 15) to base 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000716341 to five dps.\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 1 + 2 = 0. Find r such that 4*r - r + 5*r**m + 6*r**2 + 6*r**4 - 2 - 18*r**3 = 0.\nAnswer: -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130010 (base 4) in base 10?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.8 in 3\/4, -2\/9, -0.2, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 4*c**2. Let d(j) = 5*j**2 - 2*j + 128. What is d(s(i))?\nAnswer: 80*i**4 - 8*i**2 + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 9*d**3 - 9*d**3 + 3*d**3 + 33*d**2 wrt d?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 488 is divided by 55.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 156 and 1.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 320\/(-4)*((-462)\/(-1078) + (-264)\/224)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 71283 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 54 + -379\/7. Let l = -504.1 - -504. Which is the second smallest value? (a) 3\/4 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.92 - 0.08. Let i be (-3 + 1)\/(-3 + 17). Put i, 0.5, k in increasing order.\nAnswer: k, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 - 5*f + 11. What is the remainder when 27 is divided by c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 6:39 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 3*o**2 - 8*o + 7. Let u be w(-7). Suppose -8*p + u = -2*p. Suppose 0 = -8*a + 3*a + p. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23157 = -16*p + 7*p. Is 13 - 8 - (p - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, 17, -20, 0.427, -3.1?\nAnswer: 0.427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 293 - 500. Let w = p - -210.63. Let m = w + -3.7. What is m rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 - 717 + 360 + 357.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1225787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**2 - n**2 - 2*n**2 + (2*n - n - 2*n)*(-2*n + 2 - 2) - 3*n**2 + 3*n**2 - n**2 + (3*n - n + 0*n)*(-2*n + 4 - 4).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5 - 4.5. Let x = a - 0.4995. What is x rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.3 - -3.7. Let y be 4\/10 - (-14)\/40. Let h be 0 - (-3)\/((-57)\/(-2)). Sort y, h, z in descending order.\nAnswer: z, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/5 in 216, 1\/4, -0.04, 6\/5, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 13 - (-1 - (-2 + -1 + (1 - 1)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1728) + (sqrt(1728) - (1 + sqrt(1728) + sqrt(1728))))**2 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 916 - 125 = -7*g. Are -114 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 9 = -q, -3*q + 5 = -3*u + 14. Let h be 5 + (-114)\/18 + q. What is the third smallest value in 0, 0.07, h, 2\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84) + (sqrt(84) - sqrt(84)*-2) + sqrt(84))\/sqrt(12) - (-2*1*sqrt(7))**2.\nAnswer: -28 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 14 - 14. What is the closest to n in 5\/2, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56288?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14806 + 213526 = 15*i. Suppose -8*x = 10*x - i. Calculate the highest common factor of x and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4428 - 3932. What is the remainder when j is divided by 52?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115429259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be -8*(-4 - -2)*1\/2. Suppose -10*v = -w*v - 6. Suppose -q - 2*q + 3*x = v, -4*x + 8 = 0. Is 2 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-7860)\/(-14))\/(55\/385). Suppose -2*n = -10, 0*d + 2*n - 1 = 3*d. Suppose 2*r - u = -d*r + 3940, -5*r = u - p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 12*g + 113 = 173. Solve -2*l = 3*s - 16, -3*s - 2*l - 4 = -g*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 127 = -4*u - 3*b, -2*u - b = 61. Let q = 71 + u. What are the prime factors of ((-44)\/5)\/((-8)\/q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13\/(39\/(-81)))\/(11\/((-110)\/(-15))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 2*v + 216. Suppose 3*j - v = -9. Suppose -s + 3 = 0, -2*s - j = -c + 121. Does 37 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -2*f**2 - 396*f - 6087. Suppose 4*n = 51 + 17. Calculate the remainder when u(-17) is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 66.971 take away -1?\nAnswer: 67.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -7, -12, -29, -64, -123, -212, -337?\n\"Answer: -u**3 + 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0\/2)\/(1 + -3) - -3. Let y be (42\/28)\/(l\/16). Let a be (y\/(-10) + 0)\/(5\/(-75)). Solve 0 = -2*d + 6*d - a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2558654162 to the nearest integer?\nAnswer: 50583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/7)*o)\/o*o*o\/(o**3\/o)*o**(2\/9)\/(o*o**(-3)))**(5\/8) assuming o is positive.\nAnswer: o**(395\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - (-6 + 2)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -11 in 2, 1, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -294*r + 252*r + 50 = 1688 for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1146187234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kuk when three letters picked without replacement from klulcguk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 31.112 - 31. Let a = 0.006 - v. Let n = a + 0.1. Round n to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(4*(sqrt(171))**2 + sqrt(19) + sqrt(19) + (2 + sqrt(19))*-5 + sqrt(19) + (4*1*2*sqrt(76))**2).\nAnswer: -6*sqrt(19) + 16614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 2.887.\nAnswer: -14.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, -12, -2\/5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 13.1151km in nanometers?\nAnswer: 13115100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3579\/8 - 10709\/24. Factor -m*g**4 + 11\/6*g**3 + 0 - 5\/6*g**2 + 1\/6*g**5 + 0*g.\nAnswer: g**2*(g - 5)*(g - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 5*x = 22, 3*w + 5*x = 2 - 16. Suppose 3*q - 7051 = 2*i, -4*i - 1234 = -3*q + 5827. Find the third derivative of -q + 2347 + 11*g**w + 8*g**3 wrt g.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 330 + -297. What is the least common multiple of 6 and j?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 4*v**4 + 10*v**3 - 12*v**2 - 12*v + 12. Let h(a) = a**4 + a**2 - a. Let i(f) = 2*h(f) - w(f). Find q such that i(q) = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5816?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(180)\/sqrt(5))\/sqrt(12) + (-5 + sqrt(12))*-1.\nAnswer: -5*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1876 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12200 + 2?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, w: 2, l: 2}. Give prob of sequence wbwl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 65334 is divided by 381.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -70*q + 5244. Let z be h(74). Solve -343 = -15*c + z*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -2*k**3 - 4*k**2 + 4*k - 7. Let w be j(-5). Let x = 126 - w. Solve -1\/4*b**x + 1\/2*b**2 + 0 - 1\/4*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9116480 is divided by 125?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**2 + 110. Let n be r(0). Let o = 185 - n. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 951898817?\nAnswer: 951898817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, e: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 137 + -11. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, 2, -167, -0.09, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes before 9:06 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 4*m**3\/9 + 31624*m**2\/9 - 14866564*m\/9 - 14898184\/9 = 0. What is m?\nAnswer: -8351, -1, 446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 - 1 - 3)*(339594*x - 2*x**2 - 339594*x - 246*x**3 + 2) to g + s*x + t*x**3 + z*x**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -24972 + 24968. Let h(r) = -5*r**3 - 28*r**2 + 2*r + 1. Let i(t) = -11*t**3 - 56*t**2 + 5*t + 2. Give x*i(j) + 9*h(j).\nAnswer: -j**3 - 28*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 257*t + 97*t + 1443 = 6045 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 321 divide 12902595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 562 = 7*w + 590 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71*c**2 + 0*c + 2*c - 2*c - 1102*c**2.\nAnswer: -1031*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -471*p**2. Let m(j) = -1598070*j. Calculate s(m(y)).\nAnswer: -1202852858427900*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 15*k + 5. Let i(n) = -3*n. Give 4*i(q) + y(q).\nAnswer: 3*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 4*d - 134. Let u be (3 - d\/3)\/(14\/(-18)). Is u at most 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert e46e9 (base 15) to base 4.\nAnswer: 2300231223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -5*c**2 + 1051*c - 1147. Determine y(210).\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-34715)\/(-159) - 190)*(-24)\/10?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -24663, -49324, -73989, -98658, -123331?\n\"Answer: -2*s**2 - 24655*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1432, 1428, 1402, 1342, 1236, 1072, 838?\n\"Answer: -2*s**3 + s**2 + 7*s + 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/12 and -79\/740?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -3.0112 to two dps.\nAnswer: -3.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24461269?\nAnswer: 7, 3494467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 + 14. Suppose 2*n - u*n + 34 = 0. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -0*w - 5*w. Suppose -w*d + 236 - 88 = s, 82 = 2*d + 4*s. Calculate the remainder when 150 is divided by d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -82 + 87. What is the smallest value in 1\/6, -0.6, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -14543, -4, 1 in descending order.\nAnswer: 1, -4, -14543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -308, -602, -882, -1142, -1376?\nAnswer: -1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -47\/12 and -59\/12786.\nAnswer: 25572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/4 + (-171)\/(-36). Let x be ((-4)\/(-1) + -2)\/(14\/161). Solve z*q - 3*k + 11 = -11, 3*k + x = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -23 divided by -4\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mx when two letters picked without replacement from yyykmkvyxkkkykkkm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x = -39 - -67. Let j(b) = x*b - 2 + 28*b - 57*b. What is j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 14*21683\nAnswer: 303562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -4*q. Let g(h) = 15*h - 224. Determine g(f(v)).\nAnswer: -60*v - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most -329\/1776286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 533 - -627. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (3*(1*(sqrt(112)*-1 + sqrt(112)) + sqrt(112) + 3 + ((sqrt(112)*2 - sqrt(112) - sqrt(112)) + 1 - (1 + sqrt(112) + 0 - sqrt(112)))))**2 + -1.\nAnswer: 216*sqrt(7) + 1091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101993 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 0.041, 0.2, -0.23, 2\/5, 0.01?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 2, 5*c + 4 = -2*q - 0. Suppose q*i - 45 = -0*i. Solve 7*w + i = 4*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - -6)*3\/(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 7*d - 2. Let z be v(5). Let a = -55 + 91. Let p = a - z. What is the lowest common multiple of p and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -265241 + 600?\nAnswer: -264341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 2*o**2 - 12*o + 4. Let l be j(6). Let v = -41 + 41. Let g be l\/(v + 4)*1*32. Calculate the greatest common divisor of 80 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(1\/3)\/(m**2\/m))\/(m\/(m*m*m*m\/((m*m\/(m**2\/m))\/m)*m)*m\/(m*m*m\/(m\/m**(-1\/4)))) assuming m is positive.\nAnswer: m**(49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) 5\/2 (c) 3 (d) -0.2697 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*f + b - 4*b, 0 = -5*f + 3*b + 20. Solve f*j = 4 + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 52683617?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000874 rounded to 7 decimal places?\nAnswer: 0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i be -4*235\/(-40)*2 + 1. Calculate the common denominator of 49\/72 and (2117\/290)\/(i\/(-10)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from uuuuuuujj.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13736?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -12210939?\nAnswer: -6105469.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -8*p - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -125 - -229. Suppose 129 = 3*d - 4*y + 24, d = -3*y + 48. Suppose -3*m + 0*m + d = 0. Calculate the greatest common divisor of o and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d**2 - 2164*d - 207562. Determine v(-92).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + sqrt(125) - (3 + sqrt(320) + sqrt(5))**2.\nAnswer: -418 - 49*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 78252 - 40855. List the prime factors of o.\nAnswer: 37397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1398 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 968 = 282*c - 194*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 102 - 49. Suppose -z = -4*o + 39. Solve -4*h - 2 = 5*n + 13, o = -5*h - 2*n for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) be the second derivative of -w**8\/560 - w**4\/6 - 5*w**3\/6 - 5*w. Let q(o) be the second derivative of s(o). What is the first derivative of q(f) wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 6374688762 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2 (b) -4 (c) -0.2 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 - 2*o**2 + 2*o. Let n be t(-3). Suppose -5 = -2*h + 7. Let l = h - n. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = i**2 + 4*i + 2. Let n be w(-5). Suppose -3*q = 3*a - 6069, -n*a = 4*q - 5*a - 8086. What is q rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16062 (base 7) in base 10?\nAnswer: -4503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/(-20))\/(3\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -24125*w + 168877. Determine q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4178409.\nAnswer: 3, 1392803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-10)*k*k)**28\/(k*k**(-1\/2)*k\/(k\/(k\/k**(3\/25)))))**(-9\/4) assuming k is positive.\nAnswer: k**(101421\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -6\/23 (b) 691188 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -3*(-12)\/(-414) + 2\/23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 34\/23?\nAnswer: 34\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 454 in -27\/23, -2, -5?\nAnswer: -27\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*m - 270 + 38*m - 11*m.\nAnswer: 50*m - 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -319278347 - -160909136. Let c = -158368925.999879 - o. Let v = 285 - c. Round v to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 275463192954 and -0.037.\nAnswer: 275463192953.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 2, -0.5 in ascending order.\nAnswer: -0.5, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (105 - 98) + -5 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i**2\/4 + 112998085*i\/2 + 2553713442733445\/4 = 0. What is i?\nAnswer: -22599617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 869\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (25704\/85)\/(-8)*-3*35\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*i + 772 - 786 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -11*k**2 - 207*k + 21. What is t(-19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -23 divided by -2122?\nAnswer: 23\/2122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - -2. Suppose -k = -y*k + 24. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -30788.\nAnswer: 1\/7697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30 - -47. Put 0, f, 2, 3 in increasing order.\nAnswer: 0, 2, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 95*z**6 - 188*z**4 + 2*z**2 - 379*z + 19?\nAnswer: 11400*z**3 - 4512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -15 - -7. Let n = k + 7. Which is the closest to 0? (a) 3 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -234653*q**3 - 201308*q.\nAnswer: -1407918*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1234876?\nAnswer: 2, 139, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2133 = 1020*k - 1111*k - 3930 - 3117 for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*i = 26*i - 264. What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 181280 divided by 2\nAnswer: 90640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = 3*a - 0*m - 111, -4*a - 4*m = -180. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 0*u - 20 = 0. Suppose -6 = -j + u. Suppose -2 = -q + 8. Calculate the lowest common multiple of q and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of 1316667*q**6\/40 - q**5\/20 + q**4\/24 + q**3\/6 + 23*q**2. Let v be w(1). Round v to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 541726 and 878.\nAnswer: 541726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.635 + 19097\nAnswer: 19096.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -2*w + 564 + 55 + 7*w - w**2 + 97 - 81 - 2*w**3 in the form k + v*w**3 + m*w + z*w**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000000011111101100 (base 2) to base 12.\nAnswer: 108a64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 764 is divided by 420?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b - 2 + 2)*(-1 + 4 - 1) + (9 - 22 + 45)*(b - 5*b + 6*b).\nAnswer: 68*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -7 - -12. Let j = 23 - 24. Let s be ((-2 + j)*1)\/(-4). Sort s, -2\/9, z.\nAnswer: -2\/9, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001816595 to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -124 + 345. Suppose o = 26*y - 13*y. What is the remainder when 25 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the second derivative of -k + 50 + 1\/2*k**2 + 7\/3*k**3. Let b(v) = -v**2. What is b(p(r))?\nAnswer: -196*r**2 - 28*r - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -32585 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the second derivative of -q**5\/10 - q**4\/6 - 13*q**3\/6 - 3513*q. Let c(v) = v**2. Calculate -a(g) - 2*c(g).\nAnswer: 2*g**3 + 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 4 = -i + u, -15 = -5*u. Suppose 0 = b - 2*v - i, 44 = 4*b - 0*b - 2*v. Calculate the smallest common multiple of b and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (6 - (6 + (-4 - 8))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 6*r + 10. Let i = 24 - 19. Let f be v(i). Let s be ((-12)\/(-15))\/(-2) + (-8010)\/(-25). Calculate the greatest common divisor of f and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3)\/(-8))\/(((-45)\/12)\/15). What is the second smallest value in -6, -4, f, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 PM and 5:35 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 108*c**2 - 57*c - 11. What is the thousands digit of i(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -813 or -806?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16)\/4 + 22 + -24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor s**4 - 100*s**3 - 533*s**2 + 792*s + 5040.\nAnswer: (s - 105)*(s - 3)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-18)\/927*(-6)\/(-4). Let d = 503\/412 - q. Which is the smallest value? (a) -2\/9 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 225 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 12b765 (base 14) in base 5?\nAnswer: 131140201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is d in 5*d**2 + 1695*d + 125350 = 0?\nAnswer: -230, -109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 158.36631 months?\nAnswer: 0.0131971925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 214*p - 54*p - 161*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**3 - y + 2. Let r be f(0). Factor -56 - 2*x - 6*x**2 + 56 - r*x**4 - 6*x**3.\nAnswer: -2*x*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3351406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -4 (c) 813 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1293657648 is divided by 5093.\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -31156*u**2. Let c(r) = -2*r**2. What is c(d(h))?\nAnswer: -1941392672*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 1 - 26*l**3 + 6*l**4 + 15*l**3 + 2*l + 9*l**3 - 19*l**4 + 10*l**4 - 8*l**2 as n*l**4 + i*l + o + m*l**3 + f*l**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 95953739 + 6*g - 95953739.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 70205 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**2 - i**2 + 2*i**2 + 4*i**2. Let x(g) be the first derivative of 13*g**2\/2 + 196. What is x(m(a))?\nAnswer: 78*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*s**2 - 185*s + 185*s.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -435, -439, -443, -447?\n\"Answer: -4*f - 431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g + 1. Let q(s) = 4*s - 22. Let m(p) = q(p) + 6*z(p). Let d(t) = 3*t - 5. Let f(r) = 16*d(r) - 5*m(r). Let b(k) = 6*k. Determine f(b(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -2*i - 3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -8*u - 2. Let f(z) = -220*z + 15. Give -6*b(s) - f(s).\nAnswer: 268*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*y + y - 18*y - 3 + 3 - y + (3 + 5 - 1)*(-4*y - 4*y + 5*y))*((3*y - 2*y - 2*y)*(2 - 6 + 2) + 3*y - 5*y + 3*y).\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 106\/23*1308\/872 + 2\/23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, o: 6, w: 8, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -5*i**3 - 10*i**2 - 10. Let z(d) = d - 3. Let p be z(-7). Let x be 3\/(-12)*(-192)\/48. Let v(h) = -h**2 - 1. Give p*v(y) + x*q(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -3*d. Let v(z) be the third derivative of -z**5\/60 + 39*z**3\/2 + 36*z**2. Let p(h) be the first derivative of v(h). Determine k(p(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes after 5:54 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2112 divided by 907?\nAnswer: -2112\/907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 401541?\nAnswer: 3, 7, 19121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -0.034, 3\/4, -1, 0 in ascending order.\nAnswer: -1, -0.034, 0, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -111*p - 4. Suppose 5*x = 20, 2*x - 4 = -0*r - 2*r. What is the units digit of k(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-93.642.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 585*o + 36031 + 6820 = -164*o + 162*o for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -721*g + 1448*g - 723*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -2*d**3 - 2*d**2 + 2*d - 10. What is p(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3318456 and 0.6?\nAnswer: -0.19910736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14262?\nAnswer: 2, 3, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:17 AM and 3:53 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*a + 520 = 14*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 51 in 0.1, -2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -103 + 10562?\nAnswer: 10456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -5*w - 0. Let v(u) = 24*u**3 - 10*u**2 - 10*u + 4. Let d(n) = -n**3 + 2*n**2 + 2*n - 1. Let z(g) = 5*d(g) + v(g). List the prime factors of z(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 + 5 + 26 + -47\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -423657 (base 10) to base 15\nAnswer: -857dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -26 + 38. Let j = 19 - o. Which is the third biggest value? (a) -0.5 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 468400065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(24)\/(sqrt(72) - sqrt(72)*-2).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 1686*p + 13450. Give h(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l**3 - 33*l**2 + 49*l + 61. Is w(77) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 3) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/(-45) + (-792)\/(-630) + 3560\/(-3500)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (44\/55)\/((-26)\/585*12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve z**2\/4 + 316041*z - 64474965\/4 = 0 for z.\nAnswer: -1264215, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 45 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 8307 divided by 35\nAnswer: 8307\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 8794156, 17588308, 26382448, 35176570, 43970668, 52764736, 61558768, 70352758?\nAnswer: 79146700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2018 is divided by 428?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3\/5, -2, -5, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -19 + 40. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 25 = 0, 2*i + f = 7*i - 20. Let v = -2 + i. Calculate the remainder when 5 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -61227, -127749, -194271, -260793, -327315, -393837?\n\"Answer: -66522*y + 5295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (0 + sqrt(3))**2 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50168, -100388, -150616, -200852, -251096, -301348?\nAnswer: -351608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 7, x: 4, p: 2}. Give prob of picking 3 h.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*g + 23*g - 4715*g**3 + 13*g - 62*g + 17*g.\nAnswer: -4715*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 95996 or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 + -7. Let p(d) be the third derivative of 0*d - d**2 + 2\/3*d**3 + 0 + 1\/60*d**5 - 1\/3*d**s. Calculate p(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 l when two letters picked without replacement from dpmdqdqmdmlqdldmm?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b be 36\/(-2)*3*(-418)\/(-99). Let f be (b\/(-18) - 3) + 7. Find l, given that f*l + 5\/3*l**2 + 125\/3 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5302 - 5298. Solve -g*c = -4*k + 4, 0 = -5*c + 6*c - 4*k + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*y = 19 + 41 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b be -9 - 3\/(48\/(-341056)). What is b rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 17, 40, 65, 80, 73, 32, -55?\n\"Answer: -2*n**3 + 13*n**2 - 2*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/23 (b) -1 (c) 9 (d) 0.04 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*z - 21*y + 54, 5*y = 310 - 300 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3 + -1. Let d(j) = -4*j + 4. Let k be d(o). Solve -t - k = -6*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -12701333*h**2 - h + 98611 wrt h.\nAnswer: -25402666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -104.062322855 - -0.062320855. Let y = 104 + k. Round y to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.9100934 to 2 decimal places.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 85502167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 126.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1285, 187, 0.\nAnswer: -1285, -4, 0, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/17 (b) 0.058 (c) 0.5 (d) -0.1 (e) 6 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*f**6 - 3*f**5 - 148*f**4 - f**2 - 448*f?\nAnswer: 240*f**3 - 180*f**2 - 3552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.744468 centuries in millennia?\nAnswer: 0.0744468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the second derivative of 0*v**3 + 0 - 5\/3*v**4 + v + 0*v**2 + 9\/10*v**5. What is the third derivative of p(b) wrt b?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11102982 a multiple of 1159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes after 1:53 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + l + 3*h - 30, -4*l + 2*h + 2 = 0. Let d(n) = -2*n**3 + 5*n**2 - 3*n + 4. Give d(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 453317*d - 453315*d = -4*r - 34, 5*d = r + 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 227*v + 734. Determine y(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let -3*o**4 - 711*o**3 - 16455*o**2 + 711*o + 16458 = 0. What is o?\nAnswer: -211, -26, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 104\/20 + (-4)\/20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-134 - -132)*(-29990)\/4.\nAnswer: 5, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:03 AM and 5:16 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g + g + 1185 = 0. List the prime factors of g.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*t**2 + 6*t**2 - 2*t**2)*(-58*t**3 + 110*t**3 + 61*t**3).\nAnswer: 226*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:39 PM and 1:07 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2*1)\/(-2 - -4). Suppose 4*d - s = 7. Let z be ((-1)\/6)\/((-4540)\/(-240) + -19). Solve d*m - p + 6 = 18, 4 = -z*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15948930 to the power of 1\/2, to the nearest integer?\nAnswer: 3994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the first derivative of 2\/3*p**3 + 62 - 40*p**2 + 0*p + 1\/2*p**4. What is the second derivative of o(h) wrt h?\nAnswer: 12*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74079037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -2100 (base 4) to base 9\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*m, 2*g = -m - 4*m + 729. Let q be -1 + 3\/3*g. Suppose 3*u + 85 = -t + q, 3*t + 5*u - 778 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -96248 + 175011. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -19*q - 5. Let p be o(5). Let d = -5041\/5 - -1005. What is the common denominator of 1765\/p - (-3)\/(-5) and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/(-18))\/(-4 - 1040\/(-270))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 144399 * -4.\nAnswer: -577596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -464 + 471. Solve 2*s + 8 = 0, -u + 3 = -3*s - h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**5 + 2*i**4 - 2464*i**3 + 751*i**2 - 3*i?\nAnswer: 60*i**2 + 48*i - 14784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -161*f + 172*f = 66. Calculate the common denominator of ((-6)\/(12\/94))\/(f - 2) and -16\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1188899 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.59 - -0.01. Let f = 0.6 - z. Which is the closest to -0.4? (a) -1\/4 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 97\/17418 or 1?\nAnswer: 97\/17418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -4 + -1 + -2*(sqrt(72) + sqrt(72)*-1 + sqrt(72)) + -3.\nAnswer: -12*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 14387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -2\/53, 0.31975, -4, -1, -5, -9?\nAnswer: 0.31975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 229, 252, 273, 280, 261?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.29 + -113.29. Let d = o - -111.000192. What is d rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 270822*m**4 - 67*m**3 - 10469176*m**2?\nAnswer: 6499728*m - 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 + 4)*(6723*s - 3548*s - 2059*s).\nAnswer: -1116*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 5*g**3 + 4*g**2 - 5*g + 4. Let o(u) = -5*u**3 - 3*u**2 + 5*u - 3. Let b(h) = -4*o(h) - 3*z(h). Factor b(d).\nAnswer: 5*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -34 + 38. Suppose 0 = -2*x + 9 + 21. Solve -2*o - 5*m = -3, b*o = -m - 0*m + x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 2*k + 900, 714 = 5*o - 5*k - 381. List the prime factors of o.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5004, -19984, -44954, -79914, -124864, -179804, -244734?\nAnswer: -319654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 29 - 32. Let p(q) be the third derivative of -q**4\/6 - 7*q**3\/6 - 5*q**2. Let z be p(n). Solve -3*y - g - 9 = 0, z*y - 3*g - 7 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -223785091*u*x + 987233259*u - 2*x wrt x?\nAnswer: -223785091*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -8 - -452478067?\nAnswer: 452478058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 - 10*g**2 + 6*g - 47. Let y be u(-11). Let s(k) = 2*k - 2. Give s(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5.9 - 0.9. Let g = -43 + 43.3. Which is the smallest value? (a) -5 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107250906 divided by 2553593?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28 + 1358*g + 28 + 9*g**3 - 1358*g.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 0, 26, 84, 186, 344, 570?\n\"Answer: 2*s**3 + 4*s**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/9 (c) -14 (d) 0.1 (e) 0.7 (f) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) 11 (c) -0.5 (d) 1\/4 (e) 46 (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 40240 (base 5) to base 7.\nAnswer: 10331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 849 + -475. Calculate the highest common factor of 102 and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u - 3*l = -14 + 26, 2*u - 9 = -3*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6 + (294\/7)\/(-6). Let u(j) = -179*j**3 - 5*j**2 - 3*j - 1. Calculate the remainder when u(v) is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.884 - 0.384. Let c = 1 - 5. Let f be -2 - -2*((3 - 2) + 0). Sort f, p, c, -0.1 in decreasing order.\nAnswer: p, f, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7560)\/6840*(-14)\/(-98).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 162 a factor of 9677602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 30 + -2210333?\nAnswer: -2210303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 5942625823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 259648*a*m**3*s**3 + 235*a*m**2*s + 14*a*m*s**3 + 2*m**2*s**2 wrt m.\nAnswer: 1557888*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 392 + -452. Does 0.1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.358 - -0.042. Suppose -s - 25 = -67. Let v be 1 + 0 + s\/(-54). Which is the second biggest value? (a) v (b) -3\/8 (c) m (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -1, 0, 1, -4555017\/2, -2\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:45 AM and 10:56 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 537 divide 300899358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3171*y + 48198 + 87117 + 47064 = 39684 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (r + r - 4*r)*(4*r - r - 2*r)*(-r**3 - 1 + 1) + 14*r**2 - 14*r**2 - 8*r**5.\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 776*r**3 + 9*r**2 - 2*r + 2. Let m be b(2). Suppose -9*o + 499 = -m. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2201555 (base 8) to base 6.\nAnswer: -20354421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 75 + 261 = 0. Let p = h - -66. Let u = p + 2. Solve r - 2 + u = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 3794, 6609, 11310, 17897, 26370, 36729, 48974?\n\"Answer: 943*i**2 - 14*i + 2865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 312528?\nAnswer: 2, 3, 17, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 212 is divided by 55?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7*88\/(-19404))\/(3*(-1)\/(-7))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -3, 1, -149?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 589801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 26 + -24. Suppose -7*z**2 + 13*z**2 + z + 2 - z**3 - 8*z**d + 0 = 0. Calculate z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/(-4) - 18\/40. Let f = 0.5094 + -0.0094. What is the closest to u in -4, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 - -17757367?\nAnswer: 17757365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -9*m + 9. What is the remainder when 31 is divided by (-65)\/2*(-4)\/20*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/2? (a) -0.244 (b) -8 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 57760 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20840*v**3 - 20847*v**3 - 550*v + 550*v.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 86 = 63. Calculate the remainder when 51 is divided by s\/(-138) + 226\/12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 - 2261?\nAnswer: -2265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from eqe.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -13. Let y(l) = 13*l - 92. Calculate 6*j(k) - y(k).\nAnswer: -13*k + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seventeen quarters of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -y**3 + 9*y**2 - 6*y - 4. Let g(t) = -t + 5. Let j be g(7). Let b be (-16)\/(4\/(0 + j)). Calculate the remainder when 59 is divided by o(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -56 - -100. Suppose 3*p - 2*p = -r - 12, -2*r = -3*p + v. Is (-24)\/r*138*1 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 2, n: 2, a: 1, f: 4, d: 2, q: 3}. Give prob of picking 1 q, 1 f, 1 d, and 1 a.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4528?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -3*m**3 + 15*m**2 - 2*m + 10. Let a be k(5). Solve w + 2 + 3 = a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 160052 is divided by 79919.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -2.75.\nAnswer: 8.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1184260868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1898*z**3 + 3694*z**3 + 9686*z**3 + 12490*z**3.\nAnswer: 23972*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8147, -16295, -24443, -32591, -40739?\nAnswer: -48887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-42)\/(-224))\/((-2751)\/(-4192))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3045*d - 268632 = -4417*d for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -6111*j + 14304*j = 5550*j + 274872 for j.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 4, 32*u - 37*u = -3*n - 4. Let d(t) = 6*t**2 + 4. Let g be d(3). What is the greatest common factor of g and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/5, -1\/525, 4, 0.1 in decreasing order.\nAnswer: 4, 1\/5, 0.1, -1\/525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10 + -4. Let p = 5.5 - a. What is the third smallest value in 0.5, -1, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.36 + -0.1621.\nAnswer: 0.1979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + p + 10 = 0, -p = s + 2*p - 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let 5*t**5\/2 - 257*t**4\/3 + 7*t**3\/6 + 2228*t**2\/3 - 1166*t\/3 - 272 = 0. What is t?\nAnswer: -3, -2\/5, 1, 8\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -28 + 7. Which is greater: x or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4 take away 0.78251?\nAnswer: 3.21749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 24*y - 22*y + 5*t - 6, 4*y - 5*t = 12. Solve 23 = -15*n + 20*n + r, 2*n - 4 = -y*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -52, -2\/993, -0.1?\nAnswer: -2\/993","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -61 + 89. Let u = g + -32. Let w = 0.06 + -0.46. What is the nearest to -1 in u, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-12)\/(-9))\/(628\/2355). Let v be 1 + (-1)\/(-1) - -9. Solve z*p - 5 = 5*d - 0*p, -3*d + p = v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 102090 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -0.3 (b) 5 (c) -5 (d) -0.2 (e) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 - 7. Suppose 2*s - 3*a = 74, -2*s + s = 3*a - 19. Let g = s - 22. Calculate the remainder when g is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 6\/(-15) + ((-394)\/(-10) - 1). Suppose 0 = 3*u + 4*s - l, 2*u - 1 - 1 = 2*s. Suppose 0 = 4*k - 4*z - 360, 2*z - 348 = -u*k + 2*k. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from {i: 3, r: 2, w: 2, y: 1, h: 3, z: 1}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 3*g**3 - 47*g**2 - 574*g + 9063. Give q(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 2*g - 2760, -5*j + g = -9*j + 2208. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 118*-4*-4306*9\/144 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 - -2 - (1 + 11)) + -70 + (-9 - -13)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14573202, -14573203, -14573204, -14573205, -14573206, -14573207?\nAnswer: -14573208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1735, -3436, -5133, -6826, -8515, -10200?\nAnswer: -11881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c = -2*h - 0*c + 3, 0 = -3*h - 2*c - 241 + 243 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/12 + (-34)\/(-12). What is the second derivative of 3*f - d*f + f + 0*f + 3*f**3 wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -29.22 - -29.2197765. What is w rounded to 5 dps?\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f be 2091*((-2924)\/1806)\/((-2)\/28). What is the greatest common factor of f and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5622 divided by 6?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 9*r**2 - 5*r**2 - r**2. Let f(d) = 5*d. What is f(g(z))?\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1016881 rounded to the nearest 1000?\nAnswer: -1017000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = -3*m - 2*b, 0 = 3*m - 5*b + 21. Let u(a) = 4*a**3 + a**2 + 3*a + 2. Let w be u(m). Let h = -23 - w. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 PM and 5:39 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cq when two letters picked without replacement from {g: 4, f: 8, m: 1, q: 2, c: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 19235968 to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (84\/(-96))\/(-7)*-8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4647 is divided by 210?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 20*b**4 + 2 - b**2 - 5*b**3 - b**2 + 7*b**3 + 4*b - 6*b to the form h*b**2 + o*b**3 + g*b**4 + p + a*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 86380176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Is 1446 a factor of 5185356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = 50.8 + -334.8. Let a = c + 284.4. Sort a, -0.1, -5, 0 in ascending order.\nAnswer: -5, -0.1, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2287\/3 + (100\/30)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*i**2*l**2 + 52*i**2*l*z - 3*i**2*l - 2*i*l**2*z with respect to z.\nAnswer: 52*i**2*l - 2*i*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2126 + -2131. Let o(k) = 5*k - 2. Determine o(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*573.763.\nAnswer: -5737.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*w**3 + w**3 + w**3 + (-1 + 1 + 4*w)*(-w**2 + 0*w**2 - w**2).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be (0 - 16\/(-5))\/((-6)\/(-120)). Suppose -s - l = -3*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 70\/(-15) - (-3 - -2 - 3). Sort h, -5, 2\/13 in increasing order.\nAnswer: -5, h, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 171*c - 1529 = -169*c, i - 5*c - 1517 = 0. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -23899, -47507, -71115, -94723?\n\"Answer: -23608*c - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.19, -25230, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -48338*f**3*g**3 - 227*f**3 - 12*f*g**2 wrt g?\nAnswer: -290028*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**2 - a + 4. Let f(m) = 2*m**2 - 2*m + 8. Let x(l) = 4*f(l) - 7*i(l). What is the tens digit of x(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 14275 divided by -8\nAnswer: -14275\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 175125.\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3684 - 3689. Which is the nearest to -0.1? (a) -3 (b) -1\/4 (c) z (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 3*s - 64 = 0. Let u be s\/24 + (-604)\/(-6). Let q = 1 - -19. What is the highest common divisor of q and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 504 - 484. Suppose 0*j = -2*u + 4*j + 8, p = 5*u - 3*j. Suppose 0 = -5*g - 0*g. Which is the smallest value? (a) u (b) g (c) -4 (d) -7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 3, -3*k + 506 = 7*m - 12*m. What is the remainder when k is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 6, -46, -124, -222, -334, -454?\n\"Answer: k**3 - 19*k**2 - 2*k + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 95967785.\nAnswer: 5, 31, 67, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 5*d. Let r(k) = -6*k. Let n = 4 - 10. Let s(y) = n*r(y) - 7*x(y). Let w(j) = -4*j + 2*j**2 + 4*j. Calculate s(w(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 695, -2, -0.4 in decreasing order.\nAnswer: 695, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**4*v*v**(2\/7)*(v\/(v\/((v\/v**(-14))\/v)*v))\/(v*v**(1\/3)))**(20\/7) assuming v is positive.\nAnswer: v**(7120\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 - (-15 + (-5 - -11)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - 13) + 4 + (0 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 19918710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1512 + b?\nAnswer: 151d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2968\/20 + 2\/(-5). Suppose -2*x + p = 2*x. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**5*k*k*k\/k**1)**(-1\/5) assuming k is positive.\nAnswer: k**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-56)\/(8624\/1463) - -15?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26297?\nAnswer: 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 581844 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 517\/66)*6 - 6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -97*l + 21*l + 163*l.\nAnswer: 87*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1, 5, 34, 7 in descending order.\nAnswer: 34, 7, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 2*z - 3*z = -15, 4*c - z - 60 = 0. Suppose -4*j + j + c = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1\/4)\/(12\/(-24))*-6. Suppose 12*t + 16 = 14*t + 3*z, -t - p*z = -8. Solve 0 = -t*y - 0*y - 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h + 13 = 3*h + 2*x, -3*x = 5*h - 21. Solve -4*d + 6 = -2*o - h*d, -2*o - 6 = -5*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g and 1 m when three letters picked without replacement from mgggmgmg?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 + (247\/39 - (-14)\/21). Sort 58, -3, 2\/3, v.\nAnswer: -3, 2\/3, v, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*g - 45*g - 2990 = -15*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a = 4*m - 2*m - 32, 0 = 2*m - a - 12. Calculate the smallest common multiple of 8 and ((-12)\/m)\/(2\/(-16)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (148 - 137) + (6 - 4 - -21)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let g = 3\/526 + -11581\/1578. What is the closest to 0 in g, -2\/7, 0.5, -3\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1440 divided by 4?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 19776092 a multiple of 1538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 925067, 925062, 925053, 925040, 925023, 925002, 924977?\nAnswer: 924948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -14*o**2. What is q(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 - 8. Let q be 6\/(3\/1 - f). Solve -2*d + 0 + q = -a, -a = d + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2553.7324 rounded to the nearest 10?\nAnswer: -2550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3227\/6 + 539. Let w(x) be the third derivative of 0*x + 2\/15*x**5 + 0 + 0*x**4 - 10*x**2 - k*x**3. Find the first derivative of w(q) wrt q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 (base 15) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000219395 rounded to seven decimal places?\nAnswer: 0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -155*p**2 + 159*p**2 + 24 - 32*p + 40 = 0. Calculate p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**3\/3 - l + 2\/3 = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z - 3. Let v be (2 + (2 - 3))*3. Let a be b(v). Suppose -2*m + h + 28 = -3*h, 2*m + h - 3 = a. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a*a*a**(-4))*a**9)\/((a*a*a**(-3\/10))\/(a**(1\/9)\/a)) assuming a is positive.\nAnswer: a**(847\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 6) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 10:53 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.22 + 265.\nAnswer: 265.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 35.2 + -34.2. Let x = 71.5 - 71.4. What is the smallest value in i, 1\/24, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 48 and 359922688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 i when three letters picked without replacement from zzwzizzizwzhzzzizzzw.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -1326*r = -1395*r + 1656 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, 27.\nAnswer: -5, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2 + 9. Let n(i) = 14 - x + 2*i - 3*i. What are the prime factors of n(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*r**2\/7 - 424*r\/7 + 410.\nAnswer: 2*(r - 205)*(r - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-6 - (3 + -13)) + -3 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/(-2)*0 - -69. Let g(a) = -a**2 - 27*a + 16. Let s be g(-23). Let m = s - j. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 102 and 5287.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3895701\/119 - -32737. Put -3, 3, -85, o in increasing order.\nAnswer: -85, -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 3, 2*m + 2*m - 262 = -2*n. Suppose 4*q - 4*o - 32 = -0*o, 0 = -3*q - 5*o + m. Solve -2 = 3*z - h - 9, 5*z - 3*h - q = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 5:30 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 take away 101.77902775?\nAnswer: -101.47902775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) -2\/15 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 2616 + 116632.\nAnswer: 119248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 11681 is divided by 162?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18258 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31*o**2 - 90*o + 90*o + 7*o**2.\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(4\/(16\/6)). Let r be 0 + -1 + 1\/1. Put i, 7, r in ascending order.\nAnswer: i, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3864 and 1426718244?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/40 and 91\/18290.\nAnswer: 73160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 4*x**3 - 314*x**2 + 149*x + 710. Determine r(78).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 18 + -3. Let z be 3*(-5)\/d - 0. Let s(k) = -70*k + 3. Does 6 divide s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - 0.4. Let p = 24.1 - -2. Let j = p - 26. Which is the fourth biggest value? (a) 5 (b) j (c) h (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -674 - -949. Suppose 0*a - 103 = -5*t + 2*a, -5*t - 4*a + 109 = 0. Suppose -500 = s - t*s. What is the highest common factor of s and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v*v\/(v*(v**(-1\/5)*v)\/v)*v))**(-2\/5))**18\/(v*v**(-1\/4)\/v*(v\/v**(-1\/4)*v)\/v*v*v**(-5)*v*v**5*v*v) assuming v is positive.\nAnswer: v**(91\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -2*a - 82. Let j(u) = -5*u - 163. Let f(q) = 5*i(q) - 3*j(q). Is 21 a factor of f(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 0.10960609.\nAnswer: -0.32881827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 1:20 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**2 - 7*c + 1. Give u(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1013 = -16*b + 13*b + x, -5*b + 4*x = -1700. What is the greatest common factor of 63 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -261 - -261.4. Put -1, x, -3, 7 in decreasing order.\nAnswer: 7, x, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/6 and -65\/162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2074674 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-144)\/(-27)*582\/(-280912).\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 60aa2 (base 14) to base 2.\nAnswer: 111000110010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 + 7*z**2 - 6*z - 4. Let t(l) = -4*l**3 - 29*l**2 + 23*l + 15. Let b(c) = 9*j(c) + 2*t(c). Suppose 49 = -5*g + 19. What is b(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5513761.\nAnswer: 11, 43, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0021316261 rounded to six decimal places?\nAnswer: 0.002132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q + 19*g - 22 = 14*g, -386*g + 8 = 5*q - 383*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 + 5*y + 6. Let v(l) = l**3 + 6*l**2 - 2*l - 7. Let p be v(-6). List the prime factors of k(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 32? (a) 1 (b) 2 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1.4 times -3814\nAnswer: 5339.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3053898662 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -799 + 809. Let s = -68\/55 + 18\/11. What is the second smallest value in -2\/5, -3, t, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1227*b**3 - 2453*b**3 + 273*b + 1227*b**3.\nAnswer: b**3 + 273*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-9)\/3 - (-63026)\/(-20). Let p = g + 3158. Find the common denominator of p and 139\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-1))\/c)**50\/(c**(1\/9)*c\/(c*c**(-2\/15)*c)) assuming c is positive.\nAnswer: c**(-2216\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**2 + 14*l + 7. Calculate the remainder when 24 is divided by q(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (4 - 6) + 0*2\/(-6). Let h = -10 + 15. Calculate the common denominator of 151\/6 and (-1056)\/(-210) - m\/h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2939, -2938, -2937?\nAnswer: -2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from oooyaaayyyyyayaya?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 162 = -81*k - 0*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40*r + 39*r + 40*r + 33*r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3626893255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*j**2 + 318 + 0*j**2 - 2*j**2 - 363*j**3 - 162*j**3 + 282 wrt j.\nAnswer: -1575*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -37 (base 16) to base 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - 4. Let g(p) = p + 5. Let a be g(-5). Which is bigger: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u**(1\/7)*u)*u**(-1\/6))\/(u**(1\/3))**(12\/7))\/((u**(-2\/7))**10)**(-20) assuming u is positive.\nAnswer: u**(-2437\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*f - 64 + 199 = -154 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i + 236 + 145. Let m = 5717\/15 - i. Find t, given that 4\/15 + 2\/5*t + m*t**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3693 - -3687. Put -1.1, 0.3, v in increasing order.\nAnswer: v, -1.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 55*o - 5. Let s(n) = 111*n - 9. Let i(a) = 9*l(a) - 4*s(a). Does 14 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 313 (b) -0.5 (c) -3 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -z - 4*x + 8, z - 10 = -865*x + 863*x for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-20 - 83 - 1)*(-8 + 8 - 4)*(-3*i + i + i) to h + y*i and give y.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 219195.\nAnswer: 3, 5, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(375)\/sqrt(3) + sqrt(5))**2.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s - 3*t - 385 = 29, 4*s + 303 = 7*t for s.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11 + -110102?\nAnswer: -110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 47\/4 of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12)\/((sqrt(176)\/sqrt(4))\/sqrt(11)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -430434 - 1420?\nAnswer: -432404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 3343.84mg to micrograms.\nAnswer: 3343840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2304*m + 96*m**2 - 4\/3*m**3 + 18432.\nAnswer: -4*(m - 24)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:37 AM and 8:30 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1110100 (base 2) in base 4?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c + c + 3*c)*(2*c + 0*c - 4*c) - c + c - c**2 + (0 - 4 + 1)*(-c + 3 - 3)*(-c - c + c) + 24 - 24 + 21*c**2.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 3 - 5 = 0. Suppose n*d = -d. Let x(h) = -h**3 + 12. What are the prime factors of x(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(363) + (sqrt(363) + -3)*-1)**2*1*-3*2.\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the second derivative of -281*a**5\/20 - a**4\/12 - 4955*a**2\/2 - 1397*a. What is the derivative of g(c) wrt c?\nAnswer: -843*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 216 divided by -27?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 58 + -48. Solve i = 2*o - 4*o - 10, 0 = 2*o - 2*i + r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -135*t - 31. Suppose -3*z + 3*o + 9 = 0, -2*z - o - 2*o - 14 = 0. Does 61 divide p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 12*j - 16*j + 50, 24 = -h + 5*j. Let c be 285 + (-78)\/(-351) + h\/(-18). Calculate the greatest common divisor of 88 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -12 + -12 - (-3 + 5)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13*-0.13.\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - -5)\/18*(-44)\/(-33).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**3 - 2*h**2 - 2*h - 6. Let c be d(3). Let i = c - -6. Solve i*o + 2 = -5*y, 3*y + o = 1 + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 724\/11 - 7093\/132. Calculate the common denominator of 74\/(-39) - (-3)\/6 and a.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -414 - 13019 = 14*y - 21*y. Calculate the highest common divisor of 57 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 25.2 + -25. Which is the closest to 3\/2? (a) 2\/7 (b) -3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10500 + -10499.7. Which is the third smallest value? (a) s (b) -5 (c) -3 (d) -2\/2681\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6\/11 - 229\/44. Calculate the common denominator of f and 9\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16576500 a multiple of 2150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of -y**4\/14 + 13*y**2\/7 - 24*y\/7 - 316. Solve q(u) = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18229553 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 708 minutes after 8:37 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((2*sqrt(117) + sqrt(117))*3 + sqrt(117) + (sqrt(117) + 0)*-3 + 0 + sqrt(117) + -2 + sqrt(117) + 3)**2*1.\nAnswer: 54*sqrt(13) + 9473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17338 is divided by 8666.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 623 - 693 - (-4 + 29).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 30563, 61123, 91683, 122243?\n\"Answer: 30560*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -64 divided by -35?\nAnswer: 64\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -101 (base 3) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -1 + 0*h - 3*h**3 + 5*h + 0*h**3 + 2 - 3*h**2. Let f(z) = 8*z**3 + 10*z**2 - 15*z - 2. Let t(p) = 4*f(p) + 11*u(p). What is t(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -103 and -3889301.988903?\nAnswer: 3889198.988903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 3*u - 111 = 0, 3*u + 11 = o - 2*u. Let a be 3\/(-2)*(-56)\/o. Let p be 7\/3 - a*2\/(-12). Solve 2*i + c + 9 = 0, -i - 4 + p = 4*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 7:11 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zhzu when four letters picked without replacement from hhhuhzhzhh?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -248 - -3464. What is the least common multiple of 6 and o?\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-35)\/21*-18*(-4)\/(-320)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91813 is divided by 236?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) be the first derivative of 106*n**3\/3 + 9*n - 23. What is the tens digit of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1988 + 33286*s**2 - 3982 - 33289*s**2 + 1994.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*f*k*l**3*p + 64*f*k*l*p - f*k*p - f + 9*k*l**3*p + k*l**2 + 2*l**3*p + 2*p wrt l.\nAnswer: 24*f*k*p + 54*k*p + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 104917 less than 105105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 74, 81, 88, 95?\n\"Answer: 7*c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 148\/(-14) - (-8)\/14. Let a = 12 + n. Factor -h**a + 3*h**4 - 2*h**3 - 2*h**5 + h**2 + h**4.\nAnswer: -2*h**3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7190 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = w**3 + 7*w**2 + w + 12. Let p be i(-7). Suppose 811 = 5*f + 3*c - 1132, p*f - 1938 = 2*c. What are the prime factors of f?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p*p*p**(-2\/5))**(1\/6)\/((p*p*p**1)\/p**(-1\/4)))\/((p*p**(-1))**4*((p\/p**(-2\/7))\/p)**(-1\/22)) assuming p is positive.\nAnswer: p**(-13723\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 47.08 rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -2 - 4 + 1 + 7 - c**2. Calculate s(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 27 + 162 = 0. What is the highest common factor of 360 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 2 + 2852*l**2 - 28795*l**2 to the form j + g*l**2 + k*l and give g.\nAnswer: -25943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -25*n + 20*n - 35 = 5*j, j - 9 = 3*n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 967.9602 decades to months.\nAnswer: 116155.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - -6. Suppose 0*m + m = o. Suppose 0 = -4*q - 2*s + 31996, q - m*s - 8006 = -3*s. What is q rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:56 AM and 4:53 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -877162 (base 12) to base 15\nAnswer: -2c6732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6233, 6235, 6239, 6245, 6253, 6263, 6275?\nAnswer: 6289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8*i*m**2 - 2*i*m - 393173*i - m**2 + 10625*m - 2 with respect to m.\nAnswer: 16*i*m - 2*i - 2*m + 10625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 25343948?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 + 2*v**2 - 4*v**2)*(-v - 3*v + 6*v)*(2*v - 7*v + 2*v - 290 + 290 - 23*v + 0*v + 0*v + 2*v + (0 + 1 + 1)*(4 - 4 + 2*v) + v + 2*v - 2*v).\nAnswer: 152*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 11461*x + 5930.\nAnswer: 11461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 551 is divided by -2 - 248\/(-18) - (1280\/(-90) - -14).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 2579210.\nAnswer: 1\/515842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + l + 2 = 0. Let n be (12\/(-3))\/(-4) + l. Solve b = n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8788620 divided by 43.\nAnswer: 8788620\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 579 + -629. Which is greater: -54 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 + -2 - -122 - 0. Let p = -53 + i. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 71607000 to the nearest one hundred thousand.\nAnswer: 71600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -20340544 (base 6) in base 10?\nAnswer: -588592","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 + 2. Let o = z + 6. Suppose -n - o = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 157 + -61. Suppose -2*i + 6*i - j = 0. What is the remainder when 93 is divided by i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16 divided by 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*s + k - 2*k, 3*s - 15 = 3*k. Suppose 2*i + 4*m = 4, -9 = -5*i - 3*m + 1. Solve i*w - 15 = -s*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = d - 5. Let u(o) = 2*o**2 - 7*o + 7. Let s(l) = -l**2 + 4*l - 4. Let y(z) = 7*s(z) + 4*u(z). Determine w(y(a)).\nAnswer: a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 192852733 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g*g**(26\/7))\/((((g\/g**4)\/g)\/g)\/g)*g**(5\/2)*g**4 assuming g is positive.\nAnswer: g**(255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**2 - 258609*c - 517230.\nAnswer: 3*(c - 86205)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2497060, 2497062, 2497064, 2497066?\nAnswer: 2497068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1751 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16943728 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.02 - -0.12. What is the nearest to g in -1, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 9\/32335 and -8\/2007?\nAnswer: 291015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 141 and 893?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the third derivative of -x**4\/24 - x**2. Let u(c) = 5*c**2 - 4*c**2 + 3*c**2. Calculate n(u(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + 7 + -6 + (9 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -2*z**2 + 2*z + 2. Let l be g(-2). List the prime factors of (-205)\/l - (-1)\/2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 28 = -5*r + 9, 2*j + 20 = -4*r. Let g(m) = -m**3 - 5*m**2 - 7*m - 4. Let y be g(j). Solve -5*s + l = 4*l + y, -5*s + l = 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1206576 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2386 and 363552434?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 701880 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 22*s - 17*s + 85, -5*s - 5*o = 115. Let i(l) = -l**3 - 19*l**2 - 23*l - 43. Calculate i(s).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 111511 (base 6) to base 15\nAnswer: 2c1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 7*o + 4728. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -292*b**4 - 219*b**2 + 3*b - 6. Let r(j) = 290*j**4 + 219*j**2 - 2*j + 4. Let m(y) = -2*a(y) - 3*r(y). Find the third derivative of m(t) wrt t.\nAnswer: -6864*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-3)\/(-1) - (5 + -3))*2. Suppose 22074 = 3*u - 3*d, 14719 = q*u + 4*d - 7*d. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 401230.9 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 1826*m**4 - 5*m**3 + 5*m - 1 + 7*m**3 - 1827*m**4 in the form y*m + f*m**3 + v + g*m**2 + h*m**4 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -28 divided by 9?\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(22) - (sqrt(110)\/sqrt(5) + sqrt(22))) + sqrt(22) + sqrt(22))\/(sqrt(11) - (sqrt(704) + 2*sqrt(704)))*-2 + -2.\nAnswer: -2 + 12*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 4\/67 and -53\/8.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 11810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.81 - -6.49. Let k = -8 + n. What is the second smallest value in 2\/7, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 6335584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -15 + 21. Suppose a - 18 = -3*p. Suppose p*n + d - 12 = -2*d, 2*n - 8 = -d. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 - 19. Let s(y) be the first derivative of 5\/2*y**q - 1 + 0*y. Calculate s(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -2 - i**2 - 2*i**2 + 5*i**2 + 2*i. Suppose 4*k + 16 = -2*u, 4*u = -3*k - k - 20. Let v(p) = -2*p**2 - 3*p + 3. Calculate k*w(j) - 2*v(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 196 - 196 - 2*u**3 - 5*u**2.\nAnswer: -2*u**3 - 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k be 9 + (62\/14)\/(78\/(-156)). Put -1\/3, -0.1, 0.018, 0.06, k in decreasing order.\nAnswer: k, 0.06, 0.018, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000000926746 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 2614789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + -190948?\nAnswer: -190944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.14 and 0.5351.\nAnswer: 0.074914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 1627 = -8*c + 9*c, 0 = 4*l + 2*c - 1296. Let k be 13\/(l\/30) + (0 - 0). What is the third biggest value in 1, 0.05, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -ba2b + 0?\nAnswer: -ba2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q - 4*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/119 in -4.8, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 - -6. Let y be -18 + -9*25\/(-12). What is the nearest to 0.3 in b, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*y**3 - 6*y**2 - 25504*y - 10200.\nAnswer: 2*(y - 51)*(y + 50)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from szsskpzs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -4226 equal to -3794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*h + 11*h - 1055. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4\/9 (b) -10 (c) -1354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -146*i**4*t - 790*i**4 + 6*i**3*t**2 + 133*i**2*t - 77*i*t**2 wrt i.\nAnswer: -3504*i*t - 18960*i + 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 AM and 9:56 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-1*2\/(-17992)). Suppose -3001 = -a - r, a + 2*a - 4*r = l. What is a rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 33276738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 137561 = 2*n, -3*v = 4*n - 7*n - 137556. Suppose -47903 = -4*k + v. Suppose 0 = 15*m - k + 4435. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8260642 is divided by 2110.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 51119.177 rounded to the nearest ten?\nAnswer: 51120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.0264 + 16.0264. Sort -0.4, -2\/13, -4, -3, c in ascending order.\nAnswer: -4, -3, -0.4, -2\/13, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 1:44 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3279642, -3279660, -3279688, -3279726, -3279774?\nAnswer: -3279832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 1188 = 13*r - 14*r, -4*r - b = -4857. What are the prime factors of r?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -344, -36, 2 in decreasing order.\nAnswer: 8, 2, -36, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -3*b**2 - 7. Let c(g) = 2*g**2 + 7. Give 4*c(p) + 3*t(p).\nAnswer: -p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.14388 to 3 decimal places.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -r**4 + 1005*r**3 + 5052*r**2 - 1996*r - 24240 = 0 for r.\nAnswer: -4, -3, 2, 1010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3103884, 12415552, 27934998, 49662222?\nAnswer: 77597224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 14 = -2*y, -j = 2*y - 17 + 1. Suppose 18735957 + 26864043 = j*x. What is x rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -474*q + 4. Let b(s) = 235*s - 2. What is 11*b(p) + 6*o(p)?\nAnswer: -259*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 104, 207, 310, 413, 516?\n\"Answer: 103*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/((n*n*n**(-9)*n*n*n)\/n))\/n*n**(7\/5)\/n)\/(n\/(n\/(n*n*((n*n**(1\/5))\/n)\/n*n)))**(-15) assuming n is positive.\nAnswer: n**(192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 37*k**2. Let q(f) = 2*f**2 + 3*f. Let i(h) = 2*h**2 + 12*h. Let o(l) = -i(l) + 4*q(l). Calculate o(t(c)).\nAnswer: 8214*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -4*x**2 + 160*x + 6. Let y(u) = u**2 + 27*u + 1. Let a(v) = k(v) - 6*y(v). Let s(c) = -7*c**2 - c. Determine -5*a(l) + 7*s(l).\nAnswer: l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 5874 - 17620\/3. Which is the closest to -2\/5? (a) 0.5 (b) y (c) -0.051\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the first derivative of 17 - f**2 + f - 7\/3*f**3. Suppose -4*v + 5 = v. What is a(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 304582342 to the power of 1\/2, to the nearest integer?\nAnswer: 17452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, -3\/4, 5, -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (35\/(-50))\/(-7)*-2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 23 - 26. Let c = -29\/344 + 9\/43. Put 12, m, -5, c in decreasing order.\nAnswer: 12, c, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 5*k + 6 = 2*b, 4*b + 5*k - 8 = 0. Let v = b + -2. Suppose 0*g + 2*g - 50 = v. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -2*n - 1. Determine w(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 221.908 + -222. Let p = b + -0.218. What is p rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express i**3 - 352*i**2 - 236*i**2 + 374*i**2 + i**3 - 2*i**4 + 0*i**4 as v*i**2 + j*i**3 + n*i**4 + u*i + w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 10:20 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (207 + -190 + (1 + -2 - 34))*(-6)\/(-45).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1465037, 2930008, 4394979, 5859950, 7324921, 8789892?\nAnswer: 10254863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h = 3*h - 9132. Let p = h - -24403\/8. Find the common denominator of -61\/4 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3.63580646 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 1 + 0 - (-1 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 127, 273, 439, 625, 831, 1057, 1303?\n\"Answer: 10*p**2 + 116*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*a**5 + 6663*a**4 + 4928394*a**3 + 1210730274*a**2 - 2436272397*a + 1220607063.\nAnswer: 3*(a - 1)**2*(a + 741)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -d (base 15) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -251926 divided by -93?\nAnswer: 251926\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -n**2 + 18*n - 56 = 0.\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 4104.733ug to kilograms.\nAnswer: 0.000004104733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s**(-2\/11))**18)**(-3))**(-1\/4))**30 assuming s is positive.\nAnswer: s**(-810\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {i: 2, s: 2, m: 1, c: 1, v: 2, h: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the third derivative of t**5\/60 - t**4\/4 - 11*t**3\/6 + 2*t**2 + 9. Let s(v) = 2*v - 4. Let o be s(6). Calculate m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 405300?\nAnswer: 2, 3, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 300 minutes before 8:57 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 4*s + 24. Let g be v(3). Let a = -22 + g. Let j = 46595\/3516 - 2\/879. Is a at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 108, 1036, 3558, 8472, 16576?\nAnswer: 28668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - 10 + 59. Let t = -37 - h. Solve -2*a - t = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + 0. Let b be (6\/3)\/(r\/(-14)). Let d = -6 - b. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**0)**32)**45*d**(-3)*d\/d**(2\/5)*d*d**0\/d*d**6 assuming d is positive.\nAnswer: d**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*x - d = 20*x + 17, -3*x - d - 39 = 2*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (4\/6)\/((-6)\/(-45)). Suppose -b*c + 24 = c. Solve 3*x**3 + x**2 + c*x**2 - 2*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 92 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -11912, -24728, -37546, -50366, -63188, -76012?\n\"Answer: -f**2 - 12813*f + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((-2*sqrt(1715))\/sqrt(5))**2*1 + (sqrt(56)\/sqrt(2)*6)\/(sqrt(192)\/sqrt(12)) + 5.\nAnswer: 3*sqrt(7) + 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*z + 3*z - 5*z + 0*z + 99.\nAnswer: 2*z + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 56823599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2085 + 2085 + 182*f**3)*(4 - 5 + 8)*(-f + 2*f + 0*f).\nAnswer: 1274*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -24, -0.2, 30, 2, -3\/110?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -81, -82, -83?\n\"Answer: -l - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**28*(d*d**(7\/6)*d)\/d*(d*d\/d**(-12\/5))\/(d\/d**24*d) assuming d is positive.\nAnswer: d**(1697\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes after 7:03 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -42*l - 131 - 121 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 482280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -4, 3, -0.13, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n - 4*n + 4*n)*(-10*n - 38*n + 0*n)*(-2*n - 2 + 2).\nAnswer: 192*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.069 in -0.086, -2\/11, 3\/4, -2, -4?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 623951 is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2551581 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 3*q - 16 - 13, 4*q + s - 8 = 0. Suppose -4*g - q = -15. Solve -g*m = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10721253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.00002*7.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 - 5*a**2 - a + 7. Let k be i(5). Let x be 1*(0 + k - 0). Let j(q) = x*q - 2*q - 2*q. Let w(r) = 5*r**2. What is w(j(t))?\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 + 11*n**2 - 7*n + 66. Let w be h(-12). Let v be ((-2)\/5)\/((-3)\/(-15)). Let b be (w + v - 4)\/2. Are 4 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**3 + 1519 + 704*n - 468*n**2 + 31*n**3 - 1279.\nAnswer: 4*(n - 15)*(n - 2)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 282238258 to the nearest integer?\nAnswer: 16800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -3*o**3 - 3*o**2 - 6*o - 76. Let j(r) = 2*r**3 + 2*r**2 + 5*r + 75. Let s(h) = 5*i(h) + 6*j(h). Find the first derivative of s(l) wrt l.\nAnswer: -9*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 36 = x. Let m = 21 + x. Let d = 6 - m. Solve d*w = w + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r**0*r))**19*(r*r*r**(-3\/5)\/r)**(2\/15) assuming r is positive.\nAnswer: r**(4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 69 = -7*j - 43 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 37 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 62 (c) -4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = 75*i - 79*i, 29*y + 33 = -5*i + 27*y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 599 - 390. Let o = -495294288.999903 - -495294080. Let w = o + b. Round w to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7 + -25a?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/3 - 2100\/(-315). Let m(i) = 1 + 2*i + 0 + 6*i**2 + 3 - 2 - i**3. What is m(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -613*m + 253*m - 78*m - 642*m to c + d*m and give d.\nAnswer: -1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do 398 and 397 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 27*c**2. Let v(n) = 2*n**2 - 5001. Give v(r(h)).\nAnswer: 1458*h**4 - 5001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 73 = 4*k, k - 1 - 49 = -52*g + 72*g + 32 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 + 68*g + 679. Give z(-56).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 + 4)*60\/(-24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 3*d - 6. Let x(m) = -6*m + 11. Let u(k) be the second derivative of -k**5\/20 - 5*k**4\/12 - 7*k**2\/2 + 59*k. Let s be u(0). Give s*a(v) - 4*x(v).\nAnswer: 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010111 + 10?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*q - 48*q - 28 = 0. Let w be 0\/(q\/(-63)*-9). Solve 0 + 2\/3*p**2 + w*p + 2\/3*p**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 26*f**2 - 18*f + 13. Let u(v) = 13*v**2 - 9*v + 6. Let q(i) = 6*l(i) - 13*u(i). Find the second derivative of q(w) wrt w.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 2 = -2*g + 3*g, -11 = -y - 2*g. Let t be 2 - y - 5\/(-1). Solve -2*s + t = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 44*l**2 + l - 3. Let a(c) = 219*c**2 - 33*c - 11. Let u(k) = a(k) - 5*t(k). Give u(-37).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 650237?\nAnswer: 7, 19, 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -165.894 - -166. Let q = k + 0.162. Round q to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p**2 - 89502*p - 2956833 = 0. Calculate p.\nAnswer: -33, 29867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4338495 is divided by 255.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 1584*m - 1836*m + 3024 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -101*t + 3892 = 36*t + 2*t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2608? (a) -2 (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/2 - (97 + -1). Let k be 151\/(-9) + 22\/p. Let h = k + 34. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 77\/109478 and 37\/1947728.\nAnswer: 130497776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -404.0213 + 404. What is s rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3527591635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from kdtwjcw?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - i + 4*v - 23 = 0, -3*i - 6 = -3*v. Suppose -i*z + 73 = 4*r - 2*z, -3*r = -2*z - 52. Is (-18516)\/r*(-9)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 0.9985182 centuries?\nAnswer: 0.09985182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be (((-6)\/4)\/1)\/((-20)\/(-8)). What is the third biggest value in -4, l, 4, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.03 - 0.03. Let h = 0.74 - i. Let j = 0.98 + 0.02. Put -0.2, j, h in increasing order.\nAnswer: -0.2, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*s**2 - 28*s**2 - 3*s**2)*((13 + 3 - 6)*(2*s - 2 + 2) + 0 + 0 + s) to the form y*s + i*s**2 + x*s**3 + f and give x.\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 10*h**2 + 6*h**2 + 10*h**2 - 24*h**2. Let u(j) be the first derivative of 14*j**3\/3 + 2. Calculate u(r(x)).\nAnswer: 56*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11 - 11. Factor 2\/3*k**3 + 0*k + 2\/3*k**4 + h*k**2 + 0.\nAnswer: 2*k**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -13791587, -55166314, -124124185, -220665194, -344789335?\n\"Answer: i**3 - 13791578*i**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide -10 + 25 - (-1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -84, -7, 214, 651, 1376?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 133743.15 rounded to the nearest ten?\nAnswer: 133740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r - 27 = -j, 0 = 2*j - 6*r - 328 + 370 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the third derivative of i**5\/5 + i**4\/24 - i**3\/2 + 6*i**2. Let p be n(-2). Let c = 0 + p. List the prime factors of c.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wt when two letters picked without replacement from wwwtwtwwtwwwwtwwww?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 10 = a + 17, 4*f + a = -49. Let o = f + 9. Sort 4, o, -5 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 223\/234780 and -79\/16.\nAnswer: 939120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 + 222021?\nAnswer: 222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the first derivative of -8\/3*b**3 - 15 + 0*b**2 + 0*b**4 + 0*b + 0*b**5 - 7\/6*b**6. What is the third derivative of g(z) wrt z?\nAnswer: -420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 + 4830a666?\nAnswer: 4830a665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 0.11 (b) 4 (c) 96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -5*k + 20 + 25, -2*l = -2*k - 18. Suppose 4*a + 22 - 2 = 2*v, -3*v - 4*a + l = 0. Is 2 - (0 + v*-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 - -5. Suppose -5*w + 4*a = -55, 5*w + 2 = -4*a + 97. Let h = w + -14. Sort -4, d, h.\nAnswer: -4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -42*j - 625 = -121 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 103450 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1101590642.\nAnswer: 2, 31, 17767591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-68)\/(-6)*10\/(-4). Let h = -29 - z. Let l = -68\/15 - -21\/5. Which is the nearest to h? (a) l (b) -0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(2*sqrt(2057)*2 + (sqrt(2057) - (sqrt(2057) - -1*sqrt(2057))) + 0) + (sqrt(2057) - -2*-1*sqrt(2057) - (sqrt(2057) - (1 + -1*sqrt(2057)))) + 5)**2.\nAnswer: -1980*sqrt(17) + 462861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-22 - -12) + 11)\/(1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (-201)\/(-18) + -5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1160.8 and -0.2.\nAnswer: -232.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/147 and 11\/9.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 5*h = 0, 34 = -15*g + 4*h - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 34, 12, -22, -74, -150, -256?\n\"Answer: -h**3 - 15*h + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -164 - 21 + 179 - w - 21 + 27.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 19084*b**3*z**5 - b**3*z**2 - 129381*b**3 - 2*z**6 wrt z?\nAnswer: 1145040*b**3*z**2 - 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + (-3)\/1 + 215. Suppose 0 = 2*x + 3*t - 81, -4*t - c = -5*x - 2*t. Suppose -a = 3*f - 21, 4*f - x = -3*a + 1. Solve 4*k = -a + 21 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 + 26 = 4*v - 9*t - 14, 7*v + 3*t = -36 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is i in 5*i**5 - 107720*i**4 + 580287605*i**3 - 1159713530*i**2 - 2321150500*i + 4640577640 = 0?\nAnswer: -2, 2, 10771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -12 - (6\/27)\/((-16)\/(-144))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -135525\/38 <= -3566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-33)\/5 + (-22)\/55. Let s = 20 + l. Let c(x) = x**2 - 10. Let j be c(6). Calculate the highest common divisor of s and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -16 - (11 + -18 - -4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.12 - -1.08. Let x = 1.4 - h. Which is the closest to x? (a) -0.3 (b) 1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*f*i*w**3 - 22*f*i*w + 5*f*w**3 + 116*f*w**2 - f*w + 2*f - 96*i*w**3 - 2*i*w**2 - i*w + 40*w**3 + 82*w**2 wrt w.\nAnswer: -18*f*i + 30*f - 576*i + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -2*h**3 + h**2 - 10*h - 9. Let i be b(-1). Solve -i*p - 25 = -9*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -10*q**2 + 12*q**2 - 12*q**2 to the form l*q**2 + f + m*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.008718478 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**3 + 3*b**2 - 6*b + 2. What is q(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*t + 51*t + 304*t + 48012 = 6402 for t.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 3*o - 1. Let u be 1\/2 + o\/(-2). What is the third derivative of 2*q**3 + u + 3*q**2 + 0 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, p: 1, m: 4, b: 5}. Give prob of sequence bb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = -c - 16, 3*m + 2*m + 20 = 0. Let p be 0*((-4)\/c - 0). Suppose 5*b = p, 218 = 2*l - 0*b + 4*b. Is l 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 {e: 1, c: 1, s: 2, w: 1, i: 1, f: 2}. What is prob of sequence fw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1.2, -3, 2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 15*n - 16*n - 2*s, 5*s = -4*n - 24 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14400*d*l**4 + 5*d*l**2 - 2*d*l - 5716*l**6 + 2*l**2 + 1154349*l + 2 wrt l.\nAnswer: -345600*d*l - 685920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 34126*y - 17394 = 33680*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -16*y + 578. What is d(14)?\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -352 + 726. Suppose 3*b - 5*b + 44 = -5*y, 0 = -55*y + 60*y. Calculate the highest common divisor of b and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 53666.\nAnswer: 2, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 359*v - 353*v + 42 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1354\/10)\/(0 - (-1)\/(-2)). Let d = i - -270. What is the closest to -1 in -2\/5, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.34696997 + 0.5.\nAnswer: 0.15303003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.28 - -0.02. Let w(i) = -16*i + 8. Let x be w(2). Let o be 138\/x - (-6)\/8. Which is the nearest to 0.1? (a) y (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**2 - 8*k + 13. Let f be j(9). Let m be f\/(-2*(-1)\/1). What are the prime factors of m\/33 - (-17)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.36 - -0.2. What is k rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 120 and 3479070?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39447499 is divided by 3034418.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000203584972 rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (2262\/4147)\/((-2)\/(-495847)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ysyyybuyynusnssy. What is prob of picking 1 y and 1 b?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be 10 - (5 - 2) - 5. Suppose -2*h = n - v, 1 = -4*n - 15. Solve -z - h*f = 9, -f + 1 = -5*z - 5*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*i**2\/5 - 338248*i\/5 + 338252\/5 = 0. Calculate i.\nAnswer: -84563, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-21)*1*-5)\/((-180)\/(-864))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -11, -134, -3, 59 in increasing order.\nAnswer: -134, -11, -3, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.12 in 96, -4\/11, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 149956849 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 270 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-2)*p**(-6)*p**(-8)\/p*p**(-9) assuming p is positive.\nAnswer: p**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1171a (base 12) in base 5?\nAnswer: 1222434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 581484.1 centimeters to micrometers.\nAnswer: 5814841000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62549?\nAnswer: 62549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/(-10) + 56142\/240. Let y = p - 959\/4. What is the common denominator of y and -115\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 10 - 3 = 4*r, i = -3*r + 7. What is the second derivative of 1 - 10*w - 84*w**r - 131*w**2 + 74*w**2 wrt w?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2829048419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 83331248 and 946946?\nAnswer: 83331248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2697251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7*x**3*y**2 + 16*x**3*y - x*y wrt y.\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) 2\/5 (c) -15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-22)\/(-110)*(-745)\/(-596))\/((-1)\/80)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be 72\/1404*(-6)\/94. Let x = f - -2458\/4277. Find r such that 32\/7*r**3 - x*r**2 + 0*r - 4*r**4 + 0 = 0.\nAnswer: 0, 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - 2*sqrt(252)*3)**2) + 5 + -4 - (-6*(-2 + (-1*sqrt(252)*1 - sqrt(252))))**2) + 2.\nAnswer: -42729 - 1722*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8\/165 + 7661\/330. What is the common denominator of z and 31\/633?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9149 - 9067. What is the highest common factor of h and 4059?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -4655, -1\/4, 5\/3, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times -23\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1255 at most as big as 1269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81460102?\nAnswer: 2, 4327, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -24*s**3 - 8060*s**2 + 8058*s**2 + 22*s**3 + 2*s - 6*s**4 + 3*s in the form q*s**3 + h*s + i*s**2 + l*s**4 + x and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xvvx when four letters picked without replacement from xxxvxxxvxxxvxvxxxxx.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -4*((-8)\/(-28) + (-10)\/(-14))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 650 is divided by 109?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 7 + -6. Let b(a) be the third derivative of -1\/12*a**4 - a**2 + 0*a**5 + 0*a + 0 + 1\/6*a**3 - 1\/15*a**6. Calculate b(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 634081\/3578226 - -16\/7549. Calculate the common denominator of -9\/7 and i.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -420 + 424. Which is the closest to 2? (a) 0.1 (b) -4\/11 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1599)\/(-12)*(-112)\/(-364).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 4 - 3 + 5*t**2 + 2*t - 2*t**2 + 3. Let a be o(5). Let m = -50 + a. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -604, -597, -578, -541, -480, -389, -262?\n\"Answer: y**3 - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15 - -26. Let r = c + -17. Let f = -10 - r. Let b(a) = -a + 2. Give b(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (-10 + 5 - -5 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 121958 and 1734?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 162 = -8*a + 5*g, -169*g = 2*a - 164*g - 122 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 2*q**2 - q + 1. Let t be n(1). Suppose -s = -t*s. Suppose 0 = -0*f - 3*f + 6. Solve s*y + f*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.21861 + 0.08139. What is the second biggest value in 0, 2, k, -54, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 49455 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/5? (a) -32.34 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.0307573 and -136.\nAnswer: -135.9692427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 41424 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 70 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 38a9a (base 11) to base 6\nAnswer: 1110430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the third derivative of u**6\/840 + 27*u**5\/280 + 13*u**4\/28 + 157*u**3\/6 + 74*u**2 + u. Let r(j) be the first derivative of y(j). Solve r(a) = 0.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the third derivative of 79*m**7\/210 - 17*m**5\/60 + 2*m**2. Find the third derivative of w(x) wrt x.\nAnswer: 1896*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 528, 1128, 1726, 2322, 2916, 3508, 4098?\n\"Answer: -q**2 + 603*q - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Total of -1.0531829 and 0.01.\nAnswer: -1.0431829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/3)\/(s\/(s*s**(-1\/5)))*(s*s\/(s*s**(2\/15)\/s))\/s**(1\/3))\/((s*(s**(-2\/19)\/s)\/s)\/(s*s\/s**(-2\/13))*(s\/(s*s**(-7)\/s))\/s**0) assuming s is positive.\nAnswer: s**(-677\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of c**4\/5 + 52*c**3\/5 - 164*c**2\/5 - 2816. Let q(u) = 0. What is u?\nAnswer: -41, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 1, g: 2, t: 3, k: 1, c: 7}. Give prob of picking 1 k, 1 c, and 1 d.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 1 = -5. Suppose -h - 26 = -o. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 402 - 407. Let x(z) = 0*z + z + z. Determine x(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 798\/425 + -44\/25. Suppose -5*o - 11 = 2*l, 0*o + 4*o - l = -1. Are v and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the third derivative of 53*y**5\/60 + 61*y**3\/6 + 61*y**2. What is the derivative of v(f) wrt f?\nAnswer: 106*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is b83b - -3630?\nAnswer: ee6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/320340 and 51\/30005180?\nAnswer: 90015540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 - 15*f + 38. Let p be v(13). Suppose -11*b - 2*a = -p*b, 4*b - 22 = -3*a. Solve b*y = y - 5*g - 24, 2*y - 3*g - 3 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1903432*0.7.\nAnswer: -0.13324024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 180 - 179. Let u be -3 + (42\/(-4))\/(x\/2). What is the biggest value in -2, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 151\/78 and 55\/5166?\nAnswer: 67158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(3) + (sqrt(192) + 2)**2).\nAnswer: 165*sqrt(3) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1264572 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - j = 6, 0 = 5*k - 0*j + 4*j - 26. Factor 4*l - 2*l**k - l**2 + 5*l - 3*l.\nAnswer: -3*l*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -30031*g**4*r - 104*g**3 - 8001*g**2*r + 136*g**2 wrt g?\nAnswer: -720744*g*r - 624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -4*n + 32. Let d(t) = 22*t**2 - 4*t - 5. Let j be d(n). Suppose 0 = -j*f + 30*f - 360. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-1)\/(-4) + 5031\/36.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**4 + d. Let l(v) = -2*v**5 + 6*v**4 - 8*v. Let r(m) = 5*l(m) + 30*u(m). What is the second derivative of r(n) wrt n?\nAnswer: -200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-6)\/(-4))\/(9\/306). Let i = x - 34. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (7891281\/(-34) + -4)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes before 7:01 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 + 18*p - 17*p + 0*p + 2*p**2 to the form h*p + x*p**2 + o and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 352401*d - 704808*d - d**3 + 352407*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 109 (b) 4\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 15179226527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**2 - 7*l + 6. Let q be v(6). Let p be 8\/20 - 0\/(-2). Factor 0*x**3 - 2\/5 + q*x + 4\/5*x**2 - p*x**4.\nAnswer: -2*(x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -637480 - 5?\nAnswer: -637485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.94 and -12266.\nAnswer: -36062.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7298 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -5*g**2 - g**3 - 5*g - 15 - 17 + 38. Let t be b(-5). Solve t = -5*f + 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 - 16*y + 22. Let o be d(-17). Suppose -4*t + 98 = 2*j, -3*j + o*t - 96 = -5*j. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 - -4. Let j be ((-2)\/(-4))\/(w\/16). Let k = 19 - j. What is the remainder when 43 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -336 (base 14) in base 10?\nAnswer: -636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 47705730 and 948?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x + 3*c + 21, -14*x = -15*x - 2*c - 8. Calculate the greatest common divisor of 11 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4820685?\nAnswer: 3, 5, 23, 89, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*a - 37*a + 2 = -2*d, 3 = 2*a - 3*d for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 736346 and 2017704.\nAnswer: 5798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 20\/2654707 and -77\/503187645.\nAnswer: 5535064095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 - 47*p**2 + 228*p - 10. What are the prime factors of l(-52)?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c - 565 = -649. Solve 20*t + 24 = c*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 69*b**3*m - 1986*b**3 + 80*b**2*m - 14*b**2 + 5*b*m wrt m.\nAnswer: 69*b**3 + 80*b**2 + 5*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -3292770, -6585540, -9878310, -13171080, -16463850?\n\"Answer: -3292770*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = -56 + 44. Let b(h) = -13*h**2 + a*h**2 - 4*h**2 - 7*h**2. Let g(u) = -2*u**2. What is b(g(i))?\nAnswer: -48*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4729851\/(-4794120) + 2\/(-92) - (0 + -1)?\nAnswer: -1\/120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 37134689 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 147820311 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9*13418.\nAnswer: -120762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 - -118?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 13 = -x, -2*x = 13*k - 18*k + 19. Suppose 0 = 3*j + j - 8, -35201 = -5*w - k*j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -2*r + 7. Let j be m(-9). Suppose g - 4*l = 3, 3*g + 7*l - 2*l = -j. Let f(t) = -t**2 - 13*t - 11. What are the prime factors of f(g)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1597777?\nAnswer: 1597777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*w**2 + 3379*w + 3*w**2 - 1 + 9195*w.\nAnswer: 3*w**2 + 12574*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 80016046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*i**2 - 42*i**2 + 68*i**2 - 438*i**3.\nAnswer: -438*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 590872 is divided by 1612?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 11\/5 and -22\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 1)*(12228*z - 63 + 2*z**2 - 12228*z).\nAnswer: 4*z**2 - 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y**2 - 1106*y - 3435616 = 0 for y.\nAnswer: -1063, 1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 - (1 - 13)\/3. Let f(s) be the first derivative of 0*s**3 + 0*s + 3\/2*s**2 - o - 1\/4*s**4. What is the second derivative of f(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23*g**3*i - 3*g**2*i*u - 2*g**2*u + 17*g*i*u - 6*g*i + 2*g*u wrt g.\nAnswer: 138*g*i - 6*i*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/622 and -57\/84592?\nAnswer: 84592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 598 is divided by 63.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -33 + 37. What is o in -2*o - 42*o**2 + 38*o**2 + l*o + 2*o**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 12 - 54 + 6)*(-9*d**3 - 47*d**2 + 47*d**2).\nAnswer: 513*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-66)\/(-96)*(-4)\/(-22)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 656 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4216921292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -154751 - 2?\nAnswer: -154753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 45127*m**4*w - 5*m**4 - 233326*w - 14 wrt m.\nAnswer: 180508*m**3*w - 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {u: 2, x: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8 + 12)\/(8\/6). Let h = 14\/15 + 11\/15. Is i greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7 and 25.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6 - 2) + (-552 - -514). Let j be 6\/4*(-1)\/6. Which is the third smallest value? (a) -2 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -55567, -55485, -55359, -55189, -54975?\n\"Answer: 22*g**2 + 16*g - 55605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 = -31*c - 193 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-27)\/p**(-2))**(-49) assuming p is positive.\nAnswer: p**1225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4144*g**3*h*q - g**3 - 3*g**2*h - 173*g wrt q?\nAnswer: 4144*g**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-40)*6*(-35)\/14?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-three quarters of a gram in milligrams?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 2*a - 6 = 0. Let x(s) = s**2 - 2. Calculate the remainder when 5 is divided by x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2138684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**7\/b**3 assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44\/5 + -161\/20. Factor -1\/4*d**3 - 1\/2 + l*d**2 - 1\/4*d**4 + 1\/4*d.\nAnswer: -(d - 1)**2*(d + 1)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 1)*(-3*j**3 - j**3 - j**3) - 5*j**3 + 3*j**3 + 0*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.13 times -28?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4417, -17918, -40419, -71920, -112421, -161922?\nAnswer: -220423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*g + 3188 = -748. What are the prime factors of g?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1601169.\nAnswer: 3, 533723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 10043544 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 4*x**2 + 484*x - 1999. What is m(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/11830 and -14\/1261.\nAnswer: 1147510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -80*q**2 - 3. Let d(j) = -215*j**2 - 8. Let f(a) = -3*d(a) + 8*w(a). Let v(s) = -1374*s. Give f(v(p)).\nAnswer: 9439380*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -352*w + 10752 = -376*w. Which is bigger: w or -445?\nAnswer: -445","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*h - 123 = -451 - 412 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times 722?\nAnswer: -1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 16.4 + -12.4. Let k = -22 + 36. Let h = k - 13.6. Which is the smallest value? (a) h (b) s (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1888843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 AM and 10:38 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 - 0. Suppose 0*h - 2*g + 12 = t*h, -3*g + 2 = -2*h. Find the third derivative of -6*c**h + 5*c**2 - 2*c**2 + 3*c**5 wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 539 by 80.\nAnswer: 539\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1\/5, -13, 1.4807?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**3 + 6*y**2 + y - 1. Let t = 17 + -6. Let r(x) = -x + 17. Let a be r(t). What is h(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 662406 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hua when three letters picked without replacement from xhxahuuasahhhuhxs?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -227 and 597?\nAnswer: -135519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*t**3\/2 - 205*t**2\/2 + 1296*t + 9230.\nAnswer: (t - 26)*(t + 5)*(3*t - 142)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**3 - 10*w**2 + 7*w + 42. What is f(6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Are 1994418 and 1994505 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 57690946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00740686 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6248996 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -87*n - 104*n = -175*n + 32 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -9215 divided by 1843\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -5*y + 103, d + 25 + 16 = 2*y. Suppose -y = i - 67. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 272620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -93.8 + 39.8. Let i = 31 + -30.7. Put i, u, 0.2 in decreasing order.\nAnswer: i, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23955332.\nAnswer: 2, 5988833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 + 6. Let h = c + 0. Suppose h = 3*p - 3. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8583610 divided by -47.\nAnswer: -182630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 185505300 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 26.27309 and -82.\nAnswer: -2154.39338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 93293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1562626099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*n - 20*n = -l + 7, 0 = 2*l - n - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 PM and 8:52 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 2. Let j(h) = 1. Let c(y) = i(y) - 3*j(y). Let g(f) = 6. Let v(t) = 5*c(t) + g(t). Let a(o) = o**3 - o**2 - 2. What is -2*a(p) - 3*v(p)?\nAnswer: -2*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -2*l. Let a(i) = 342*i**2 - 27*i + 27. Let s(h) = h - 1. Let j(k) = 4*a(k) + 108*s(k). Calculate j(y(o)).\nAnswer: 5472*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is (11 - 12)*(2 + -3661) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from xrrxrrxqxrrqrxvexxq.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.08 in 54.7, 0.2, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 3*o**2 - 7. Let t = 117332 - 117329. Suppose -2*b + 6*b + 16 = 0. Let h(k) = 3*k**2 - 6. Determine b*h(p) + t*m(p).\nAnswer: -3*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b + 9*b - 611525 = -43*b. List the prime factors of b.\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 0 + 3*g + 0. Let f(s) be the second derivative of s**3\/3 - 4*s. What is b(f(h))?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*i - 10*i**3 + 113*i - 51*i.\nAnswer: -10*i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - -78. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22563 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -12*i**3 - i**2 + 2*i + 4. What is the units digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2126*v + 1580*v + 359*v**2 + 546*v.\nAnswer: 359*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in thirty-one halves of a gram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 33277494*q**3*t**2 + 7*q**3*t + 201*q**3 - 2*q*t + 2*q - t - 23 wrt t?\nAnswer: 66554988*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 767949 and 78182?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 266 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, -4, -377 in increasing order.\nAnswer: -377, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -2*m - 2*m + 5, 3*x = 5*m - 2. Suppose -z = -3 - m. Solve 0*q = -z*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*l - 22 = -26*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*t - 30 = 41*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6\/11 in -0.1, -1, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -4 + (1 + sqrt(98) + -5 - sqrt(98)) + sqrt(98)*-2*-6 + (1 + (2*sqrt(98) - sqrt(98)) + sqrt(98) - -1*(-1 + sqrt(98) - sqrt(98))))**2.\nAnswer: -1764*sqrt(2) + 19289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*j**3 - 6*j + 2*j**3 - 13 + 21 + 4*j + j**2 + 51 to t*j**3 + o*j + r*j**2 + f and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1\/3, 6, 1\/7, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-16)\/8)\/(((-9)\/(-6))\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1\/14 + -5\/21. Let x = 448 + -448. Is n > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -422 + -41200202?\nAnswer: -41201124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**6*z\/z**(-1\/6))**14\/(z*((z*z**5*z)\/z)\/z*z\/(z**(-1\/10)*z)*z\/(z**(-6)*z)*z*(z**(-3)*z)\/z) assuming z is positive.\nAnswer: z**(2707\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2992444 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: List the prime factors of 37722.\nAnswer: 2, 3, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 2*q**2 - 1 + 1. Let h(j) = j + 1. Let w(m) = 9*m + 12. Let t(g) = 6*h(g) - w(g). Let c(p) = 1. Let b(a) = 6*c(a) + t(a). Calculate b(u(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -133*p + 73. Let r(w) = -1 + 13 - 30 + 33*w. Let i(u) = 2*j(u) + 9*r(u). Is i(4) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-3)\/(-6))\/(10\/12). Let i = 59 - 56. What is the second smallest value in i, j, -34?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -g + 1. Let t(q) = -q**2 + 5*q - 4. Let p(f) = 3*d(f) - t(f). Let v(w) = w + 12. Let x be v(-10). Suppose h - 5 - x = 0. Give p(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1405563717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/12)\/k)\/((k*k*k*k*k\/(k*k\/k**25))\/k*k) assuming k is positive.\nAnswer: k**(-349\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 - 6*b**2 - 3*b + 10. Let k be w(7). Solve 12*v - 22 = k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-7)\/21)\/(2\/(-12)). Let m be -2 - (6*-1 + 4). Solve 3*i + t*i + 5 = m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 2*z**2 + z + 1. Let s be f(3). Let p be -90*(s\/(-5) + 2). Let k = p + -103. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 123.763 and 0.\nAnswer: 123.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -45846 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k + 2*k = -189. Let c be ((-44)\/(-6))\/(18\/k). Suppose 14*j - 24 = c*j. Solve j*u + 25 = 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-20)\/6)\/((-12)\/(-36)). Calculate the common denominator of ((-366)\/(-20))\/((-36)\/t) and -5\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4747 is divided by 947?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.11523*1034.\nAnswer: 119.14782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 53279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*i**3 + 14*i**3 + 26*i**3.\nAnswer: 32*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 2*d**2. Let p(f) = -367*f. Calculate p(h(z)).\nAnswer: -734*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 5186 divide 335378587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1527 - 901. Is m a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -348653*j. Let z(h) = 1240*h**2. Determine u(z(l)).\nAnswer: -432329720*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*v - 3*v + 15*v + (-1 + 0 - 1)*(-5*v + 3*v + 4*v) to z*v + i and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the first derivative of 555*t**4\/4 - 2*t**3\/3 - 802*t + 1939. Find the third derivative of i(d) wrt d.\nAnswer: 3330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/((-189)\/108*(-4)\/126) + -7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4 or 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (14958\/(-9))\/(2 + -2 + 4 + -6)?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*z - 13*z = 351. Calculate the greatest common divisor of 1269 and z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -8*b. Let w(r) = -121446*r**2 + 1. Give t(w(s)).\nAnswer: 971568*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 399396 and 996?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 1815*j**3 - 8*j**2 - 18*j - 6. Let s(c) = c**2 + 3*c + 1. Give -p(b) - 6*s(b).\nAnswer: -1815*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/181942 and 61\/3?\nAnswer: 545826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 + 18*t**2 + 47*t + 14. Let c be n(-15). Let a(k) = -2*k**3 - 33*k**2 - 21*k - 38. Calculate the lowest common multiple of a(c) and 2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t**2 - 21*t + 18. Let r be ((-434)\/(-93))\/((-7)\/(-30)). Give m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -13*c**2 + 7*c - 15 + c**3 + 5*c + 20*c. Let f be i(10). Solve 3*t = 2*h, t - 19 = -f*h - t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -53\/520 and -59\/7696?\nAnswer: 38480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -1 + (sqrt(13) + sqrt(156)\/sqrt(108) - sqrt(13) - ((-2*sqrt(91) + sqrt(91) + sqrt(91))\/sqrt(7) - sqrt(13))))**2.\nAnswer: -16*sqrt(13)\/3 + 244\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-46)\/(-483) - 105083996\/(-42). Round r to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 + 8 + 35*m**3 + 12.\nAnswer: 35*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 797130 divided by 7815\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 27362 (base 12) in base 15?\nAnswer: 1104e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - t - 12 = -7, -t - 5 = -v. Solve 8 = -2*x - 4*i, v*x + 4 = -x + i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 88 + 3. What is the remainder when t is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1898644*l**2 + 3797304*l - 32.\nAnswer: -4*(l - 2)*(474661*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*168*361\/3249.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.5 and -0.3335797.\nAnswer: -0.16678985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13677411 + 6910447. Let l = -7033036 + q. Round l to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -2*c**3 + 3*c**2 + 5*c - 4. What is j(4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29615 + 29615 + 64*u - 7*u**3 - 64*u + 0*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 0*h + 0 - 2\/15*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**2 - 247. Let r be u(0). Let x = r - -359. Suppose 17 = -4*a + 6*a - 5*z, a - 10 = 2*z. Calculate the highest common factor of a and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -112 minus 25509898960?\nAnswer: -25509899072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 61621 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8.5 - 49.5. Let i = q + 45. Put 2\/9, i, -4 in ascending order.\nAnswer: -4, 2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**3 + 5515*i**2.\nAnswer: -i**2*(i - 5515)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1046*h**3 + 845*h**3 + 11*h**2 - 9*h**2 + 1028*h**3)*(-6 + 2 - 2) to d*h**2 + y*h**3 + c*h + n and give y.\nAnswer: -17514","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 172923828 and 198?\nAnswer: 518771484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 238*j - 52 = 264*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-1) - (8 + -16 + 8). Let x be (-1 + 107)\/(2\/4). Suppose r + 0*r + 5*k - 61 = 0, -x = -m*r - 4*k. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a century in months?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5810912227\/1111796 + 2151256\/413. Let h be ((-2)\/(-4038))\/1*6. Let l = r - h. Find the common denominator of 101\/22 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -63, -104, -189, -330, -539, -828, -1209?\n\"Answer: -2*h**3 - 10*h**2 + 3*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 + 6*n**2 - 5*n + 2. Let m be u(5). Suppose -3*c + 0*c + 14 = 2*w, 5*w - 2 = -m*c. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 426 and 48.\nAnswer: 3408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 14 = 2*z, -5 + 3 = 2*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 301 a factor of 1170589?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -146*z + 378. Let h be l(-12). What is the greatest common divisor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 2*c - 35636 - 30799, -25 = 5*c. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**2 + 12*o + 19. What is x(11)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c**3 - c + 2. Let k(q) = -q**2 - 6*q - 7. Let j be k(-5). Let z be (j\/6)\/(3\/(-9)). Let n be m(z). Calculate the greatest common factor of n and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 85173, 85168, 85163, 85158, 85153?\n\"Answer: -5*c + 85178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**7)**(-31)*(x**(-6))**(-1\/31) assuming x is positive.\nAnswer: x**(5772\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5198.\nAnswer: 2, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -2*r**2 + 6*r. Let x be a(6). Calculate the remainder when 10*(x\/(-8))\/9 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {n: 5, m: 2, a: 3, y: 1, w: 1, v: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -780. Let c = h + -784.4. Let b = 0.9 + 0.1. What is the biggest value in c, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 11970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1 - 3e?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, 2\/2257071, 11 in ascending order.\nAnswer: -1\/7, 2\/2257071, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1453 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Add together -45427428.11 and -515.\nAnswer: -45427943.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 40, 75, 110?\n\"Answer: 35*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4616 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: b\"What is the pth term of -7541, -16014, -24487?\n\"Answer: -8473*p + 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*m + 5 = -10*m + 2*y, 2*m + 2*y - 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d = -2*w - 12, d + 291 = -3*w + 288 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 2*sqrt(153))**2 + 6*(5*(sqrt(17) + 1))**2.\nAnswer: 324*sqrt(17) + 3316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 - 8 = -4*i. Let y = -309 - -361. Suppose b + 4*b + 163 = i*v, -v = b - y. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -129 - -50. Let o = 133 + r. Calculate the greatest common divisor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 378*s = 216550 - 203320 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is b0 + 5?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:26 AM and 4:15 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 7*p**3 - 5*p**2 - 5*p + 17. Let d(n) = -4*n**3 + 3*n**2 + 3*n - 9. Determine -5*d(h) - 3*y(h).\nAnswer: -h**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the first derivative of z**4\/4 - 3*z**3 + z**2\/2 + z + 2. Calculate the remainder when 19 is divided by a(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*q = -3*i - 4*q, 0 = 3*i - 5*q + 27 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -1376*(-9)\/2 - (-8)\/8?\nAnswer: 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1530*s - 488*s + 11*s - 2569*s.\nAnswer: -4576*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 178 - 173. Let l(y) = y - j*y + 14*y. Let f(m) = -4*m. Calculate f(l(p)).\nAnswer: -40*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the first derivative of -u**4\/4 + 4*u**3\/3 + 3*u**2 + 6*u - 2. Let f(i) = -i**3 - i**2 - i + 20. What is the remainder when f(0) is divided by o(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 3*d + 24 = 0. Let f = 20 - d. Suppose -8 = -i + f. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 101002233 (base 4) to base 11\nAnswer: 484a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mri when three letters picked without replacement from {m: 1, y: 1, j: 1, i: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 76080905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 54 - 37)*(-n + 0 + 0).\nAnswer: 85*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-15)\/9 + 1)*(-132)\/(-110). Which is the second biggest value? (a) f (b) 0.1 (c) 2\/7 (d) -23.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3701241 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 7 - 27 = 0. Let d(z) be the second derivative of z**4\/12 + z**3\/2 - 2*z. What is the smallest common multiple of d(-5) and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1587 a factor of 720220913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -6*s + 5. Let a be b(-6). Let n = -11 + a. Let w be (-9)\/(-2) + 8\/16. Solve w*r - n = 5*j, -3*r + 0*r - j = 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61477727?\nAnswer: 97, 633791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -2 + 94*n - 1 - 92*n. Let t be l(3). Suppose -x + 1516 = t*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 707, 1431, 2169, 2927, 3711, 4527, 5381?\n\"Answer: y**3 + y**2 + 714*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -12*z**3 + 10*z**2 + 4*z + 21. Let v be i(-5). What is the greatest common divisor of v and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(6)\/sqrt(192))**2 + -4 + ((sqrt(168) + sqrt(168)*-2)\/sqrt(12) - sqrt(14))\/((sqrt(84)\/sqrt(4))\/sqrt(3)) + 5.\nAnswer: -2*sqrt(2) + 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**3 + 28*t**2 + 164*t + 115. Determine o(-10).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-6)\/(-1))\/((-12)\/1000). Let y = -277 - o. Suppose y = d + 5*p, 3*d + 114 = 4*p + 783. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*f**2 + 4444037*f + 246039861 with respect to f.\nAnswer: -8*f + 4444037","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -9*x - 6. Let s be d(-1). Suppose s*b - 4*z + 7 = 0, 0 = 4*b + 5*z - 42 + 10. Solve 0 = -3*n - 15 + b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 181308 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -549300 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/30)\/(-14*8\/(-2016)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2393.\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 137, -5, 42, 0 in increasing order.\nAnswer: -5, 0, 42, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - 2457 + 2462 = -2*d, 4*l = -2*d + 40 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -14521\/21768 + 3\/7256. Which is the nearest to 12? (a) s (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.11 <= 230.44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 1bb7b7 (base 12) to base 13.\nAnswer: 145342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1718912 and 600704?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - z = -16566. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1815432404 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*v - v - 5*v + (v + 2*v + 2*v)*(1 - 2 + 0) - 14 - 2*v + 4 - 9*v to q + y*v and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = -248*p**2. Let d(a) = -a + 1525*a**2 - 2*a + 3*a - 1544*a**2. What is -40*d(m) + 3*w(m)?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2028 and 32256159?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 divided by 7.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1367*i + 31077 + 15918 = -4500*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1104, -2209, -3314?\nAnswer: -4419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -x**5\/12 - 621*x**4\/4 - 3684*x**3 - 32822*x**2\/3 + 171836*x + 360444 = 0.\nAnswer: -1839, -14, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 113*c*n**2 + 4088*c*n + 33*c - 5*n**3 + 10*n**2 wrt n?\nAnswer: 226*c - 30*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 0 - 15. Let j = -13 + y. Solve -j*h - 1 = -7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/82*2\/(-10). Find k such that -1\/8*k**5 - 1\/4*k**2 + 3\/8*k**3 + 0 + 0*k + r*k**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2041.\nAnswer: 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3\/7, 3, -86, 2\/7?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 9*i - 23. Let s(q) = -3*q**3 - 4*q**2 - 3*q - 3. Let l be s(-2). Let f(a) = 4*a**2 - a + 2. What is the remainder when j(l) is divided by f(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 6, 168, 4 in decreasing order.\nAnswer: 168, 6, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be (15\/(-25))\/(3\/(-10)). Suppose 0 = -7*z + m + 33. Let i = 8 - z. Solve l - 17 = -i*h, 0 = -3*l + h + 2*h - 9 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(28)\/(sqrt(28)\/sqrt(7)) + -5)**2.\nAnswer: -10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.05151063 to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 65424523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 7 + -3. Suppose 84766*n - 84735*n - 173 - 75 = 0. Solve 8 = -b*p - n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor r**4\/2 - 3*r**3 + 9*r**2\/2.\nAnswer: r**2*(r - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -59753 (b) -1\/5 (c) 2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**35*w*w\/(w**(5\/7)*w)*w*(w*w*w\/(w\/(w\/(w**(1\/3)\/w)))*w*w)\/(w*w**(2\/29)*w) assuming w is positive.\nAnswer: w**(24289\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 955449 divided by 99\nAnswer: 9651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-45)\/(-30)*(-4)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (30\/(-21))\/((-135)\/378). Solve -4*u + d*u + 4*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*t - 2 - 7. What is the second derivative of 11*o**t - 4*o + 6*o**3 - 8*o - 5*o**3 wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-2)*j)\/j**2*(j*j\/(j*(j*j**(-3))\/j*j))\/j**(-6))**31 assuming j is positive.\nAnswer: j**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -6 + 3. Suppose -u + 9 = 2*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3*(-75)\/(-60)*12\/9 + 8. Sort o, -5, -3, -2, 5.\nAnswer: -5, -3, -2, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*x + 13*x = -471. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 170 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 809912, 810051, 810190, 810329?\nAnswer: 810468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 35 - 22. Suppose 0 = f - b + 3, 4*f = f - b - c. Suppose -3*z - 2*z = -5. Sort f, 3, z.\nAnswer: f, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 73, 5, -12, 7 in ascending order.\nAnswer: -12, 5, 7, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -d**3*h**3 + 7*d**3*j - 1627*d**2*h**3 + d*h**3*j + 675*d*h*j + h**3*j - 18*j wrt d?\nAnswer: -6*d*h**3 + 42*d*j - 3254*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*p = 44*p - 4*p - 102. Solve 2*g - 8 = -p*y, 2*y = 12*g - 13*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, o: 6, l: 2}. What is prob of sequence lozz?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 - 1074*s + 825*s + 0 - 2406*s to the form d*s + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand d - 4 + 4 + 4*d - 4*d - 3*d + 0*d + 3*d - 2*d + (3 + 3 - 4)*(2*d + 2*d - 2*d) - 2*d - d + 5*d + (2 - 1 + 1)*(-2*d - 2*d + 6*d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2415353 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the third derivative of -7\/60*w**6 + 0 + 0*w + 1\/105*w**7 - 12*w**2 + 3\/5*w**5 + 8\/3*w**3 - 5\/3*w**4. Factor h(d).\nAnswer: 2*(d - 2)**3*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -275 - -285. Suppose y - j = 4*b, -3*y - 2*b - 2*b = 2. Solve 0 = 3*r - y*n - 4, -6*n + 2*n + 24 = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 20 + (-106 - -99).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 19204 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 5*j - 25, 5*j - 7 = 2*w + 8. Calculate the remainder when 2\/w - 2523\/(-15) is divided by 945\/108 + 5\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**3 - 191354*r**2 - 382705*r - 191352.\nAnswer: -(r + 1)**2*(r + 191352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 7*n + 11*n + 10 - 20 - 7*n. Let x be b(4). Does 10 divide 3\/(-1) - (1 - x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -1 and 2002910770.548.\nAnswer: 2002910769.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -232213324 (base 5) to base 13.\nAnswer: -2abac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 57 - 57 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 287451 and 5301.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35854655?\nAnswer: 5, 47, 271, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -132*w - 77. Let b(a) = 7*a + 4. Let q(p) = 7*p - 21. Let s be q(-8). Let n(j) = s*b(j) - 4*y(j). Let h(m) = 2*m**2. Determine n(h(r)).\nAnswer: -22*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -2, -65 in ascending order.\nAnswer: -65, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 3 + 7 = 0. Let p = 6971\/3 - 2347. Let w = 23 + p. Sort 1, n, w in increasing order.\nAnswer: w, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10484, -17162, -23840, -30518, -37196?\nAnswer: -43874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 40 = 5*l, -3*l + 80 + 62 - 102 = -5*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + q + q - 1936 = 0, -2578 = -4*c - q. Suppose 5*l - c = -2*l. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - 4*(-4)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 115475 = -26*a + 73*a + 6012. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 5*m = -5814, 5*m + 630 + 2257 = y. Which is bigger: y or 2926?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6*i**3*l*o + 84*i**3*o + i**2*l - 213*i*l - l*o - 2*o wrt l.\nAnswer: -6*i**3*o + i**2 - 213*i - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 7:10 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -1050510 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -1) + (21 - (20 - 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 13*d + 66. Let z be r(-5). Let f(v) = 1888*v**3 - v**2 + 3*v - 1. Is f(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14781.\nAnswer: 3, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 0 + 545*w**3 - 3 - 544*w**3 - 4*w + 7*w - 2*w**2. What is i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7514 and 11700?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 - 4*o**2 - 13*o + 8. Let c be f(6). Find the third derivative of -6*k**2 - c*k**4 + 2*k**4 - k**4 wrt k.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vlllaaasvvvaso. Give prob of sequence vlla.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 821\/67 + -7 + -6 and 65\/3?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 2873 and -172.\nAnswer: -494156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/20*-12 - (-16 - ((-23213808)\/(-54840))\/(-23)).\nAnswer: -2\/457","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 636770 and 913160.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 14779 by -1.\nAnswer: -14779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19011.\nAnswer: 3, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 288617771 to the nearest integer?\nAnswer: 16989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -4029 (base 10) in base 12?\nAnswer: -23b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 4*t + 11 = -3, -5*t + 11 = -4*a. Factor 7*g**5 - 3*g + 12*g**4 - 125*g**3 + a - 14*g**2 + 1 + 121*g**3.\nAnswer: (g - 1)*(g + 1)**3*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1438 + 3053. Let u be g\/68 - (-2)\/8. Factor 3*o**3 + 28*o**4 - 16*o + 9*o**3 - u*o**4.\nAnswer: 4*o*(o - 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 230198673?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from pueeppe?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -74 - -70. Let h(w) = w**2 + 11*w + 8. Let q be h(r). Let g be ((-8)\/q)\/((-2)\/(-10)). Solve -3 = -g*o + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -141\/70 and 44?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 4, f: 5, p: 3, o: 1}. What is prob of picking 1 f and 2 b?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -807478 (base 13) to base 9\nAnswer: -5551631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/5*(-10 + 68\/7).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 810*t**2 + 553*t - 1006751 wrt t?\nAnswer: 1620*t + 553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2, -57, -166, -325, -534, -793, -1102?\n\"Answer: -25*r**2 + 16*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-756 + 22*f**2 + 756)*((3*f - 2*f + f)*(3 - 3 - 2) + 3*f + 0*f + 0*f).\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 2 + -3 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8326380?\nAnswer: 2, 3, 5, 73, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 - 3*y**2 - 10*y + 1. Let n(w) = -2*w**3 - 5*w**2 - 21*w + 3. Let f(c) = 4*n(c) - 9*t(c). Give f(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 1, q: 1, x: 1, w: 4, v: 2}. Give prob of picking 1 x and 2 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 8) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*h - 2*h + 2*h)*(-2*h + 5*h - 5*h) - 2*h**2 + h**2 + 3*h**2)*(52*h + 0*h + 83*h).\nAnswer: -270*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*i**4 - 2*i**4 - 5*i**4 + (0*i**2 + i**2 + 1 + 21)*(-i + i + 3*i**2).\nAnswer: 2*i**4 + 66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 7*j**3 + j**2 - 8*j + 1. Let d(t) = 15*t**3 + t**2 - 14*t + 3. What is -3*d(f) + 5*y(f)?\nAnswer: -10*f**3 + 2*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -961 - 74064*w + 961.\nAnswer: -74064*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -3*r - 2*z, 2*r - 18 = -2*r - z. Let x(q) = -r*q + 5*q + 2*q. Let s(h) = 5*h - 6. Let i(v) = 3*v - 4. Let c(w) = 6*i(w) - 4*s(w). Give c(x(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 4*v - 1398 = 0, -6*o = -9*o + v + 849. Suppose -5*w + o = 2*d + 104, 5*w - 2*d - 162 = 0. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -9*h - 16. Let r be a(-3). Let d be (1\/r)\/(6\/48). Suppose 8\/11*x - 2\/11*x**2 - d = 0. Calculate x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1\/(-3) - 1970\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3572549 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -18 + -22 + 51 - (-4 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {r: 3, n: 1, k: 5, d: 7}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 + 10 - 6) + -2 - 8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/301223000 and -67\/271100700?\nAnswer: 2711007000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -27*a + 81. Let x be q(-28). What is the highest common divisor of 186 and x?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.08 - -0.18. Let s = -0.15 + v. Which is the third smallest value? (a) s (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:16 AM and 6:44 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 932*u**4 - 7*u - 826. Let x(t) = 934*t**4 - 8*t - 825. Let h(d) = -5*q(d) + 4*x(d). What is the second derivative of h(p) wrt p?\nAnswer: -11088*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 352*k = 495*k + 3003 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be -8*4\/16*-2. Suppose -2*f + 4 = -3*f + 2*d, 17 = 4*f + 3*d. Suppose -12 = -l - q, 0 = 4*l - 0*q - f*q - 48. Solve r = k*r - 3, l = 3*b - 3*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0015236 to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a minute in milliseconds?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 1084.6952 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1343334023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from {r: 2, l: 2, g: 13, m: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, b: 1, o: 1}. Give prob of sequence jb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 4 (d) -2\/21 (e) -0.048 (f) -1433\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -139+3\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1.9 - 1.812. What is f rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -3 + 1 - d + 1. Let o(v) = 2*v + 1. Let a(x) = -x**2 - 6*x + 3. Let s be a(-6). Let h = 9 - s. Give h*q(t) + 4*o(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 9 = -4*l, -2*l + 1 + 0 = -5*n. Solve -l*m - 14 = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 328703537 to the power of 1\/3, to the nearest integer?\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 56.99192 nanoseconds to seconds.\nAnswer: 0.00000005699192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-14408)\/18272 - (-1)\/(12\/9). Let y = q - 78313\/27408. Find the common denominator of y and 27\/40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/3)*x)**(-43)*(x*x*x**(-25)*x)\/x*(x\/x**(-12))\/x*x*x assuming x is positive.\nAnswer: x**(-199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1288 and 276690?\nAnswer: 7747320","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 - 12*g**2 + 36*g - 6. Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h**3 + 1 + 5*h**3 - 3*h**2 - 4*h**3 in the form n*h + o*h**3 + t + k*h**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-2\/9)\/(r*r**(1\/13)\/r))\/(r*r\/((r*(r\/(r*r**(4\/11)))\/r)\/r)*r*r*(r\/r**(-9))\/r*r))**(-2\/5) assuming r is positive.\nAnswer: r**(40316\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -97.064 + 0.064. Let b = j + 16. Let h = b + 69. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 365 divided by -403169\nAnswer: -365\/403169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 - 5*y**2 - 3*y - 9. Let j be q(-5). Suppose d + 2*d - 12 = 0. Let p(b) = d + 3*b - b**2 + 0 + 2*b. Determine p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2. Let u(n) = 27*n - 19. Let g(d) = 18*f(d) + 2*u(d). Let z be g(3). Calculate the highest common divisor of 20 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 332 minutes before 3:55 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 984815270 is divided by 239.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*j - 62 = -48*j + 82 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1166298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 3*o - 128 = 0, 5*z + 41 = 4*o - 150. Is z less than or equal to -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -16713, -23869, -31025, -38181?\n\"Answer: -7156*q - 9557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 20\/6*18\/12. Let x = c - 5. Put 1, x, -4 in ascending order.\nAnswer: -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 21435025 and 925?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 83*u - 67*u - 288 = 0. Solve 27*g + 36 = -u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 7 - 0 - (72 - 53).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 60016*s - 32. Let n be o(2). Round n to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 greater than -20883\/23714?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*l**3 + 5 - 5 + (-4*l**2 - 2*l**2 + 4*l**2)*(4*l - 5*l + 2*l) + (2*l**3 - 5*l**3 + 4*l**3)*(-4 + 0 + 2) to t*l + k*l**2 + q + o*l**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 137579606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 213 and 118130368?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*f**3*g**3 + 85*f**3 + 4*g**4 + 1 wrt g.\nAnswer: -12*f**3*g**2 + 16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -222 by -74.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-2\/5))**(-49)\/(f*f**0*f**(1\/6)\/f))\/(f\/(f*f**(-2\/21))*f*(f\/(((f*f\/(f*f**(2\/5)\/f)*f*f)\/f)\/f))\/f)**(-32) assuming f is positive.\nAnswer: f**(689\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 7349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -147189 * 1.2.\nAnswer: -176626.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and 0.19754?\nAnswer: 0.59262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:36 AM and 4:41 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -698 * 0.04.\nAnswer: -27.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -1672*r + 3353. Calculate y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 11*h**2 + 3*h + 23. Let s(c) = -11*c**2 - 4*c - 25. What is -4*s(w) - 5*v(w)?\nAnswer: -11*w**2 + w - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 187*t**2 - 3 + 1 - 91*t**2 - 4*t - 84*t**2 to f*t + d*t**2 + n and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -78*v - 728. Let a be r(-12). Let x be ((-26)\/5)\/(2\/(-10)). What is the highest common divisor of a and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 36 and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that i**3\/5 + 23*i**2 + 3672*i\/5 + 20412\/5 = 0.\nAnswer: -54, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -179 + 59. Suppose 4*t + t - 2*u = v, 0 = -t - 3*u + 8. Let l = -23 - -38. What is the remainder when l is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1b9b (base 12) in base 2?\nAnswer: 110101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of 0*n + 148\/7*n**7 + 104 + 0*n**6 - 1\/2*n**4 + 0*n**5 + 259\/3*n**3 + 0*n**2. Find the third derivative of y(h) wrt h.\nAnswer: 17760*h**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1850915057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*a**5*i - 2240548*a**3*i**2 + 157233*a*i**2 + 2*a*i - 2*i**2 + 4*i wrt a.\nAnswer: -80*a**3*i - 13443288*a*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -4*h + 88*h**3 - h - 103*h**2 + 103*h**2 + 3*h + 2 as l*h + q*h**3 + k + b*h**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63 - 65 = -3*p - l, -4*p + 2*l + 174 = 0. Let a = 43 - p. Solve a - 4\/9*u**2 - 8\/9*u**3 + 0*u - 4\/9*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*q**2 - 23*q**2 + 13*q**2 + 11*q**2 + 3*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/5, -2, 111.79, 0.13, 2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00029865 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -236*j + 225*j + 143 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 485 = -4*d, 5*d + 3*i + 292 = -294. Let h = d + 117. Let c(m) = -m**3 - 5*m**2 - 2*m - 1. What is c(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-6879)\/(-2) - (-9)\/18. Is 18 a factor of (-2)\/(-12) - n\/(-96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - ((-7 - 8) + 6 + (0 - -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -89 + 101. Let o(h) = h**3 - 12*h**2 + h - 4. Calculate o(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -34 or 536\/53509?\nAnswer: 536\/53509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-18)\/(-15))\/(((-8)\/(-14))\/((-160)\/(-112))). Suppose -3*p + 1 = -2. Sort 11, -5, g, p in increasing order.\nAnswer: -5, p, g, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*d - 28 = -46*d + 2*r, -2 = 2*d + 4*r. Let v(q) = q**2 - 6*q - 17. Determine v(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3337.695 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -4*f**2 - 4. Let s(j) be the first derivative of 34 + 0*j + 1\/6*j**3 + 17*j**2. Let o(i) be the second derivative of s(i). Determine m(a) + 5*o(a).\nAnswer: -4*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n + 53 = -49. Let x = n - -53. Suppose -2*q + 112 = x*q + 3*s, 4*q + 5*s - 112 = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 245434748?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -106032.43 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the second derivative of u**3\/3 - 7*u**2\/2 - 20*u - 6. Give o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -86 + 86 + 16*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2 + -0.2. What is the smallest value in 5, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 AM and 2:52 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -657 - -72. Let y = m + 584.999671. Round y to five decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -37 + 40\/(-2240)*-2056. Let y = 18.3 + -10. Let u = y - 1.3. Sort l, -0.5, u.\nAnswer: -0.5, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -53 + 55. Suppose -n = -j, 5*j - 31 = -2*m - m. Let s(i) = 29*i**2 - m*i**2 + 2*i**2. Let r(b) = b. What is s(r(v))?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.09 - 0.09. Let k be 2\/(-10) - 20352\/(-160). Let c = k - 131. What is the nearest to v in -2, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4*6\/(-72))\/((-92)\/(-24))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(((sqrt(171) - (2*sqrt(171) - sqrt(171))) + sqrt(171))*-2 + 3))**2.\nAnswer: -324*sqrt(19) + 6237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 112974479?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*b - j = -50*b - 4*j - 12, 28*b + 5*j = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 12*v**3 - 8*v**2 + 10*v - 8. Let y(k) = k**3 + k. Let i(j) = h(j) - 10*y(j). Let s(g) = g + 1. Let p(n) = -i(n) - 8*s(n). Let p(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/140 and 53\/22760?\nAnswer: 159320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 248761\/18 - 13819. What is the common denominator of 23\/4749 and y?\nAnswer: 28494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the third derivative of 0*v + 0*v**4 + 0*v**5 - 2*v**3 - 2\/15*v**6 - 16*v**2 + 0. Differentiate t(n) wrt n.\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01010921 rounded to four dps?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 258, 263, 272, 285, 302, 323, 348?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 62852341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 3*b = 6 + 18, 2*g - 5*b = -12. Let a be 3\/(-6)*680\/70. Is a <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 102 is divided by 78?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*d*m**2*v**2 + 2*d*m*v**2 + 461*d*v**3 - 13028*d*v**2 - 7*m**2*v**3 - v**3 wrt v.\nAnswer: 2766*d - 42*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 41*h**3\/6 - 40*h**2\/3 - 2*h\/3.\nAnswer: h*(h - 2)*(41*h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4755 and 0.1.\nAnswer: -0.04755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00307147 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*r**2 + 23*r + 44*r + 44*r - 29*r + r**2 to the form g + q*r**2 + h*r and give h.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -186496 - 87731 = -660*k - 1086*k - 59469 for k.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5166, -5613, -6358, -7401, -8742?\nAnswer: -10381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 3 = -7. Suppose -2*q + d = -q. Let i be -2 - (q + 0) - -3. Solve 3*k + 5*m = -5, k + i*m = 3*m + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6 - 3 - -3)\/(3\/2). Let l be 3\/((1*-1)\/(-1)). Solve 2*n - 2 = -m - l*m, m - s = -4*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - 1. Suppose 3*r - 4*l - 122 + 15 = b, 2*l - 128 = -4*r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**2 + 2*l + 3. Let f(y) = 33*y**2 + 336*y + 630. Let p(t) = -f(t) + 30*j(t). Factor p(i).\nAnswer: -3*(i + 2)*(i + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o - o - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 3*c + 25. Give b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-9)\/6 + (-61)\/(-2). Let h = r + -15. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -46647, -46632, -46617, -46602, -46587?\n\"Answer: 15*m - 46662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.8, 1\/2, -0.2, 39, -2, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(16) + 5*sqrt(64) + 4*3*sqrt(16))\/(-5*sqrt(8)*-5 + (-3*sqrt(648) + sqrt(8) - sqrt(8))).\nAnswer: -23*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the first derivative of x**2 - 1. Let l = -20 + 22. Let k(w) = 2*w**l - 4*w**2 + 2*w**2 + w**2. Determine u(k(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 28999930649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1477326132.\nAnswer: 2, 3, 461, 89017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/3262 and -89\/27048.\nAnswer: 6302184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 + -5.05. Let d = 0.1 + z. What is d rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 + -3. Let q be -2 + p\/(11\/25). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -3\/2, -6, -4, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10.2 - 1.8. Let q = -22255.031 + 22243. Let b = q - m. Round b to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-18)*(729\/42 + -18)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and 9439447?\nAnswer: -18878894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (4365\/194)\/(315\/1050)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 763 a factor of 684872615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 381 + -355. Solve -9*n = h + 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 454974 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the first derivative of v**5\/120 + 5*v**4\/24 - 4*v**3\/3 + 5*v**2\/2 + 61. Let o(f) be the third derivative of k(f). Let l = 6 + 0. What is o(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 276 - -6a4?\nAnswer: 94a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 2789980*q + 20. Let u(v) = v - 1. Let b(i) = c(i) + 24*u(i). Let r be b(1). Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 2*q - 49 = 783, 4*q = -4*c + 820. Calculate the remainder when c is divided by 107.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 87 = -4*t. What is the remainder when t is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -165*c**3 - 425*c**3 + 4*c**3.\nAnswer: -586*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 185465 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -10770, -42520, -95438, -169524, -264778, -381200?\n\"Answer: -10584*j**2 + 2*j - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 84*q**2 + 266*q - 24. Let v be t(3). Solve 0 = -242*g + 233*g - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 157\/71 - 10775\/2272. What is the common denominator of -101\/8 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 2 k when three letters picked without replacement from {m: 4, h: 2, k: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 27*u**3 + 3*u**2 - 4. Let m be t(3). Suppose m = 3*s + s. Suppose -4*n - 3*i + 252 = -5*i, 3*n - i - s = 0. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 + -22 + 7 - -5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 112969 is divided by 26727.\nAnswer: 6061","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -5*h + 1. Let b be u(4). Let c = b - -47. Let x be (20\/(-6) - -3)\/(18\/(-756)). What is the highest common divisor of c and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/54 and -157\/1218.\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1094 - 1094. Let o be 2\/(-4) + 5\/2. Suppose m = -o*k + 13 + 11. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 2. Let p = -6 + n. What is the least common multiple of (-2)\/((4\/p)\/4) and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 79 - 78. Do -4 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6590.\nAnswer: 2, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3671027 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -64*z + 88. Give k(5).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -9b + -4?\nAnswer: -9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 10 = -3*p, q = p + 2*q - 2. Suppose 0 = -p*c + 443 + 189. Which is bigger: c or -2\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3232*s - 3254*s - 88 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 283961, 283963, 283967, 283973, 283981?\nAnswer: 283991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 4755 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tgrtrcao. Give prob of picking 2 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 1525 = -t - 1554, -4*t = 3*f - 82. Let j(q) = -2*q**3 + 34*q**2 + 37*q - 21. What is j(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c = -h + 3*h + 29, 0 = 4*c - 4*h + 12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*d = 8*d + 72. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 52 = 4*z, 4*z - 10*j - 60 = -8*j. Let c(v) = -v**3 + 18*v**2 - 16*v - 14. Let a be c(z). Sort -14, 2, a.\nAnswer: -14, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.06 - 4.06. Let n = 4 + f. Which is the closest to n? (a) 0.5 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/3 (b) 12 (c) 0.6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 25 - 9. Calculate the common denominator of -109\/12 and ((-60)\/q + 4)\/((-3)\/131).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -13*z**2 + 2*z - 1. Let n = -69 - -70. Give u(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6*p**4 + p**4 + 3*p**4 + (3*p**4 - 4 + 4)*(0 - 24 + 2)*(-4 + 2 - 2) - p**4 - 4*p**4 + 3*p**4 as z*p**3 + t*p**2 + h*p + o + f*p**4 and give f.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/5*t - 1\/10*t**2 + 1\/2.\nAnswer: -(t - 1)*(t + 5)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 221*z = 212*z - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 7:03 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - 4 - (-3 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 73786008 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes after 7:48 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-120)\/(-60))\/((-4)\/22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 60 is divided by ((-16)\/(-24))\/(6\/81 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 30802, 61906, 93012, 124120?\n\"Answer: s**2 + 31101*s - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 16750706 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 10) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-2))\/(9\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((f\/(f\/(f\/((f**(-1\/33)*f)\/f*f))))\/f)\/f)\/(f*f**(15\/4)))**(-6\/7) assuming f is positive.\nAnswer: f**(887\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - 1010011100?\nAnswer: -1010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*4*sqrt(190) - sqrt(190)*3*-2)\/(6*(sqrt(360) + (sqrt(360) - -3*sqrt(360)*4))).\nAnswer: sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v + 2*d + 1117, -12*v + 8*v - 3*d + 1512 = 0. Let s = -10112\/27 + v. Find the common denominator of s and 38\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -5*p + 5*v + 118, 3*p - 126 = -3*v. Solve p*u + 16 = 37*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 5*b - 2 - 9, -3*b = 4*r - 24. Suppose -p = -3*s - 3, -b*p = 5*s + 14 + 8. What is the remainder when (-4)\/s + 0 + 19 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -16 - 4*(-19 - (-2550)\/240)?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 227130 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -26*l + 188*l - 972. Let w(f) = 5 - 5*f + f**2 - 5*f + 3. Determine w(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s + 8 = 0, -4*l = -0*l - s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the second derivative of i**4\/6 - 7*i. Let v(n) be the first derivative of 6*n**2 + 1. Give g(v(w)).\nAnswer: 288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (k + 2*k - k)*(-2 - 1 + 2) - 5*k + 3*k + 0*k + k - 3*k + 3*k + (-4*k + 0*k + 5*k)*(-3 + 5 + 0) as g*k + z and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l**3\/3 - 284*l**2\/3 = 0. What is l?\nAnswer: -71, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 772 is divided by 719.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*d - 41*d - 7 = 2*y, 0 = 5*d + 4*y + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 2*i - 16 = -3*r, 0 = -3*r - 2*i + 5. Suppose -r*g + 20 = 2*g. Suppose -g*y + 84 = -0*y. Calculate the remainder when 62 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 50981*x**2 - 63417.\nAnswer: 101962*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 25, 0, -2\/7, -2, 6\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*n - 81 = 31*n. Which is smaller: -25 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, -4\/113, -4, 5?\nAnswer: -4\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 11 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((0 - -2) + 0)*2. Suppose -2*y - 70 + 80 = 0. Determine w, given that y*w**2 - 2 - 2*w**i - 2*w**2 + w**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*j = r + 87, -2*j + 1366*r = 1368*r - 36 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-812)\/(-70) - 10)*(-75)\/(-20). Let i(s) be the third derivative of 1\/6*s**3 + 0 - 1\/6*s**4 - 14*s**2 - 1\/15*s**5 + 0*s + 1\/120*s**m. Calculate i(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -645*g**2 - 21151528*g + 21151528*g + 933*g**2.\nAnswer: 288*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*r - 936 = -32*r - 0*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -290 + 3192\/11. Which is the third smallest value? (a) 0.2 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -2*y**3 - 19*y**2 + 11*y + 13. Let k be r(-10). Sort 0, k, -1 in ascending order.\nAnswer: -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 33\/4 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -17178 + 17181. Suppose 2*s = 6*s. Solve 3*u - 4*w + 13 = -h, s = -5*u - w - 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 3982365?\nAnswer: 31858920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssczrscsccczczzcezcc. Give prob of sequence cce.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -34 divided by 4567\nAnswer: -34\/4567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-66)*-102*319\/(-58).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-10*n + 312*n + 141*n)*((3 + 1 - 2)*(0*n**2 + n**2 + n**2) + 3*n - n**2 - 3*n - 3*n**2 + 10*n**2 - 4*n**2) as k + a*n**3 + o*n + p*n**2 and give a.\nAnswer: 2658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(2\/17)*d*d**(-1\/4)*d\/(d*d*d\/(d**8\/d))*(d\/(d*d*d*((d*d\/(d**(-9)*d))\/d)\/d)*d)\/d)**0)**(-42) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 0.075451 at most -1081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v + 32 + 24 = 0. Calculate the highest common divisor of 56 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n**3 - 33*n**2 - 218*n - 24. Calculate b(-24).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 21*q + 3. Let b(p) = -42*p - 5. Let g(d) = -3*b(d) - 5*f(d). Let a(r) = -43*r - 1. Let t(k) = 4*a(k) + 9*g(k). Differentiate t(n) with respect to n.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 5.756882 millennia?\nAnswer: 5756.882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (-4 + (-2 - -11) + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 19146224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1\/4)\/i)**(2\/5)*i\/(i\/(i**(2\/3)*i))*i**(2\/9)*((i\/i**(-2\/15))\/i**(-8))\/((i*i**(-1\/4))\/i)**(-19) assuming i is positive.\nAnswer: i**(1039\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 20010140113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -2*k**5\/13 - 34*k**4\/13 + 116*k**3\/13 - 80*k**2\/13 = 0. Calculate k.\nAnswer: -20, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -116867, -117026, -117291, -117662, -118139?\n\"Answer: -53*m**2 - 116814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**3 - 10*f**2 - 9*f + 13. Suppose 0 = 5*d - 5, -3*w - 3*d + 10 = 31. Let m be 74\/w - 3\/(-12). What is the units digit of r(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*h**4 + 917*h**2.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-2)\/(-4) + 9\/2. Let k = 17 - 12. Suppose -5*l + k = -10. Solve 3*r - 5*f + 22 = 0, -b*r = 5*f - l*f - 15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*a**4 + 3360*a**3 + 10060*a**2 - 3360*a - 10062 = 0. What is a?\nAnswer: -1677, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -265826, -265825, -265824, -265823?\nAnswer: -265822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d*g**3 + 647*d + 375*g**3 wrt g.\nAnswer: 3*d*g**2 + 1125*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (12\/10)\/(2\/10 - 0). Find the third derivative of 123*b**6 + 5 - 4*b**4 - 4 - 126*b**m - 10*b**2 wrt b.\nAnswer: -360*b**3 - 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6009, -16789, -34757, -59913, -92257, -131789, -178509?\nAnswer: -232417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + i = 14 - 9, 0 = -5*j + 4*i - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 PM and 11:00 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z**2\/3 - 27986*z\/3 - 13994\/3 = 0. What is z?\nAnswer: -1\/2, 6997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130 = -5*k - 60. Suppose -2*a = -3*u + 2*u - 2, u + a = 7. Calculate the remainder when k is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in sixteen sevenths of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**3 - 4*o**2 + o - 2. Let y(p) = -p**3 + 4*p**2 - 2*p + 2. Let a(z) = 2*r(z) + 3*y(z). Let l be a(3). Is (-147)\/(9\/3)*l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -724*q + 729*q - 9*j = -110, -4*q - 26 = -j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 57 - 7 = 0. Let c = r - -26. Suppose -4*j + 5*z + 55 = 0, 5*j = -4*z - 4 + c. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6666 (base 8) to base 2.\nAnswer: -110110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -4*l + 57. Let c be f(21). List the prime factors of c*96\/(-6) - -3.\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -66 + 40. Let b = f + 12. Let a = 14.000043 + b. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -6*(-1*sqrt(2299)*1 - (sqrt(2299) + -1 + sqrt(2299))*-1) + -1)**2.\nAnswer: -132*sqrt(19) + 82765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 13758 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: acb688 (base 16) to base 10\nAnswer: 11318920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-24)\/132 + (-58)\/44)*-2. Let a be (-160)\/(0\/g - 2). What is the highest common factor of a and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -3*k**5\/4 - 297*k**4\/4 - 8325*k**3\/4 - 48603*k**2\/4 - 24426*k - 14283 = 0. What is k?\nAnswer: -46, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -723420 (base 9) to base 12\nAnswer: -188316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -73\/4 - -18. Let s = -11.841 - -0.041. Let k = -11.8 - s. What is the closest to f in k, -1, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, t: 8, e: 9}. Give prob of picking 2 z.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -8*x - 24 - x**2 + 10 + 16. Suppose -8 + 36 = -4*s. Calculate the least common multiple of k(s) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -61. Let u(x) = x + 123. Give -5*a(w) - 2*u(w).\nAnswer: -2*w + 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum -307 and -31938.7.\nAnswer: -32245.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - (-4 - (-13 + 0) - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 3*f**3 - 222*f - f**2 + 4 - f + 0*f**3 - 6 - 2*f**3 as l + o*f**2 + h*f**3 + z*f and give z.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-24)\/(-27))\/4 - (-9015)\/135. Suppose 5*q = l + 181, 2*q + 2*l = -3*l + u. What is the remainder when 71 is divided by q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -15 divided by 2\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 + 42044\/(-1035) - 8\/(-360).\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122 = 13*w - 200. Let f be (-1 - 1) + 8 + -1. Let c(u) = -6*u - 3. Let y(q) = 7*q + 3. Calculate f*y(z) + w*c(z).\nAnswer: -z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7 - -9)*(-13)\/(-2). Suppose 101*o + 21 = 47*o + 55*o. Solve 2*l + k = v, -v + o = -l - 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ninninnn. Give prob of sequence in.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4515 (base 9) in base 7?\nAnswer: 12503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -10*m**3 - 559*m**2 + 52*m - 114. Give z(-56).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 4*p + 5. Let b be q(-5). Let x be 12*(b\/9 + 1). Let s(g) = g**3 + 7*g**2 - 11*g - 7. Let u be s(x). What is the highest common factor of 102 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4d34 (base 16) in base 6?\nAnswer: -231300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-11)\/(44\/(-20))*23*(-14 + (-75)\/(-5))?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1829 is divided by 910.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-9 + 3)*(-1)\/2 + 2. Let t = -2805 + 2765. Put t, z, -5 in decreasing order.\nAnswer: z, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + 4 + 8. Let o(s) = 10*s + s**2 - f - 19*s + 8. Let p be o(9). Let j(w) = -w + 7. Determine j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - -5) + (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 + 6*c**2 + 6*c + 6. Let p = -3 + -2. Let t be f(p). Do t and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 1065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -7796344742077 minus 0.16?\nAnswer: -7796344742077.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes after 4:42 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 316\/9 + -6031\/171. Put 4\/7, -56, -0.2, a in descending order.\nAnswer: 4\/7, a, -0.2, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 318*l = 2*s + 323*l - 993737, -5*l - 1987489 = -4*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 604711 is divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 PM and 9:05 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be 670\/405 + (-6)\/9 + -1. Is g less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3143 + 5104. Suppose 3*j = 196 + m. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3057 + -1421. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 111, 3, -1\/2, -2 in increasing order.\nAnswer: -2, -1\/2, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be 43\/((-2709)\/42) + (-20)\/(-3). Let b(m) be the second derivative of 0 + 8\/9*m**3 - f*m - 4\/3*m**2 + 5\/18*m**4. Solve b(c) = 0 for c.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 4*q**2 + 59*q - 19. Let j be x(-18). Do 215 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 414 + 13*n - 210 - 204 to the form t*n + o and give t.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 10152 divided by 4\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -0.47*1525611\nAnswer: -717037.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 30250, 116944, 260094, 459706, 715786, 1028340?\n\"Answer: s**3 + 28222*s**2 + 2021*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 539996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -123 - 1141100040?\nAnswer: -1141100213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -26? (a) 2 (b) -50 (c) -1 (d) -4 (e) -3\/22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/22 in 1, -179, 3\/5, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -2*m - 1. Suppose -a + 3 = 2. Is 53*a + 1 + m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17917 is divided by 512.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be -396 + 389 - 2\/10*-34. Suppose a = 4*a + 12. Put n, 1\/8, 1\/4, a in increasing order.\nAnswer: a, n, 1\/8, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the third derivative of g**5\/40 + 3*g**4\/2 - 25*g**3\/4 - 163*g**2. Let d(c) = 0. What is c?\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1395 - -1394.9327. Let u = d + 0.087. Round u to 3 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -21.5 - -22. What is the closest to 1\/3 in -3, -3\/8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 743.27 to the nearest 10.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2\/3 + 4\/5. Let a be (-6)\/(-21) - (-1)\/((-70)\/125). What is the biggest value in 3\/10, m, a?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i + 2516 = c + 2*i, -c - 4*i = -2540. What are the prime factors of c?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -634 divided by -9.\nAnswer: 634\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22\/20)\/(((-7258)\/(-1900))\/191).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 1331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 848, 828, 788, 722, 624, 488, 308?\n\"Answer: -v**3 - 4*v**2 - v + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**2 + 30*s - 23. Let m(w) = 2*w - 1. Let r(i) = k(i) - 6*m(i). Let y be r(-19). Solve 0 = y*b - 4*t + 8, 4*b + 5*t = 5*b + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 32.5029l to millilitres.\nAnswer: 32502.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -5*f - 30. Let w be d(-7). Solve w = -5*x - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 25\/10*((-55)\/15 + 3). Which is the second biggest value? (a) 2 (b) y (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 21 + -96 + 171 + -178?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2640965137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 18*r + 9. Suppose 0 = -4*g - 3*w + 16, -2*g = -w - 32 + 14. Calculate the remainder when t(g) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:08 PM and 5:59 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -359b55 - -1?\nAnswer: -359b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from mmmcmmwmmmhmvmmmc.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 165*h*w**2 + h*w + 3*h + 5*w wrt w.\nAnswer: 330*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5.71 and -40465?\nAnswer: -231055.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95253 + 285748 - 95254 - 95252 + 4*z.\nAnswer: 4*z - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 71703, 285923, 642661, 1141917, 1783691, 2567983, 3494793?\n\"Answer: 71259*i**2 + 443*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/37995700 and 57\/3039656?\nAnswer: 75991400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -0.01 (c) -15889.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*a*x**2 + 69203579*a - 9387*x**2 + 999*x - 4 wrt a?\nAnswer: 2*x**2 + 69203579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 832*u - 2681. Determine a(4).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 147\/268 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 2 - 5*v + 3*v - 6. Let c be y(-3). Suppose 2*z + 130 = g + 140, g + 13 = 3*z. Solve 0*n - z*i - 15 = -c*n, -2*i = -2*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*n + 94 = -5*n + 244 + 292 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 334 + -334.12. Put -1, g, -3, -4 in ascending order.\nAnswer: -4, -3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1001053618 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -3 (c) -0.7184 (d) 640 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 - 0.2. Let q be 1 + 12\/(-66) + -1. Which is the closest to d? (a) -2\/3 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -29*f*o**3 + f*o - 10674*f - 4*o**3 - o**2 + 8784*o wrt f?\nAnswer: -29*o**3 + o - 10674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6855*j**3 - 984*j**3 - 66934*j**3.\nAnswer: -74773*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.11*1.1.\nAnswer: 2.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**2 - 2*h + 8. Let c be r(0). Suppose -4*q + 3*u = -0*q - 5, -2*q - 4*u + c = 0. What is the tens digit of (q - 0)\/((-6)\/(-123))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 7*n**2 - 2*n. Let p(x) = -8067*x**2. Determine a(p(u)).\nAnswer: 455535423*u**4 + 16134*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -1 (b) -6 (c) -2\/5 (d) 2\/11 (e) 4\/3 (f) 96\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2425 - 2416. Solve -3*l - 3*z = a - 3, 4*l + 3 = z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 109528?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 + 241?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 6) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3673937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/(r\/(r\/r**(7\/2))))\/(r\/r**6)*(r**25*r)**(10\/9) assuming r is positive.\nAnswer: r**(583\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -286?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 647?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z + 0*z + 22 + 6*z - z.\nAnswer: 3*z + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -119 - -171. What is the highest common factor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 328127 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*f + 4*f + f**2)*(-610*f**2 + 159*f**2 - 44*f**2 - 238*f**2).\nAnswer: -733*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2 + 31*g + 56. Let t be i(-13). Let f = -175 - t. What is the least common multiple of f and 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2804608, 2804842, 2805088, 2805352, 2805640, 2805958, 2806312?\nAnswer: 2806708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -44 or -3668?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*g**4 + 4*g**4 + 4*g**4)*(-2 - 2 + 2) + 23*g**3 + 31*g**4 + 40*g**3 - 30*g**4.\nAnswer: -9*g**4 + 63*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-26)*d)\/(d*d\/(d\/d**(-35))))\/((d\/(d**22\/d))\/d**(2\/65)) assuming d is positive.\nAnswer: d**(1887\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, l: 4, k: 4, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 a, and 1 s when three letters picked without replacement from {s: 3, a: 1, v: 1, c: 2, u: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -162.55 - -20824835979?\nAnswer: 20824835816.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2029949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 3 * 3075.38\nAnswer: 9226.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -564 (base 8) to base 14\nAnswer: -1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -a0 (base 12) in base 13?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 185*l**2*o**3 - 242*l**2*o**2 + 2*l**2 + 12*l*o + 8086*o**3 - 30*o**2 wrt o.\nAnswer: 1110*l**2 + 48516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 89593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 5*v = 6. What is the second derivative of 13*s**2 - 13*s**2 - v*s**4 + 2*s wrt s?\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in 2*n**2 + 188664*n + 188662 = 0?\nAnswer: -94331, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*p - 2*p + p)*(-p**2 - p**2 + 3*p**2) - 2*p**3 - 2*p**3 + 6*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.35 + -13.65. Let w = c + 17. Let b = -2.99964 + w. Round b to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 123 + 124 - 2890*j - 247 - 1274*j to the form x*j + l and give x.\nAnswer: -4164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -2*a**3 - 33*a**2 + 184*a - 39. Give x(5).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 588, 2720, 6406, 11646, 18440, 26788, 36690?\nAnswer: 48146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/168 and -4 + (-42090)\/3276 + 17.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 5342 = 59319. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -8*p + 14*p + p**3 - 362*p**2 + 356*p**2 + 7. Give z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 219.98 + -218. Let l = j + 0.02. Which is the nearest to 0.2? (a) 0.3 (b) l (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000861396 to seven dps.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*j + j**2 + 2*j**3 + 5*j**3 - 8*j)*(151*j + 237*j + 189*j) to the form f + p*j + r*j**3 + i*j**2 + n*j**4 and give n.\nAnswer: 4039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + a = 4. Suppose -2*b + b - 19 = 4*q, -2*b + q = 2. Put b, -5, a in descending order.\nAnswer: b, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -4377, -8780, -13183, -17586, -21989?\n\"Answer: -4403*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 465992987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 3*k + 11 = 0, -16 = 12*k - 16*k. Solve 1 = u*a + 47 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*o + 17652 + 513 = 0. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -219024 divided by 6.\nAnswer: -36504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**2 + 17*q - 28. Calculate the remainder when (0\/1)\/(-2) - -126 is divided by k(-20).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/5, 0, -3, -3451, 5\/47, 1 in ascending order.\nAnswer: -3451, -3, 0, 5\/47, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 7360*i - 156455 = 1965*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -435 + 239. Let o be -3 - 2*l\/8. Suppose o = 3*c - 119. Calculate the greatest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in 1, -7\/6449, 4?\nAnswer: -7\/6449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 69 = -93. Suppose -2*p = j - 7 - 16, -3*p = -j - o. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -127*q - 290*q + 233*q + 13800 = 0 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 3, m: 2}. What is prob of sequence mr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b + 9 - 1149 = 0. Is -189 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 17 - 3 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 2 - 6)*(-3 - 1 - 6)*(-2*k - 2 + 5*k - k).\nAnswer: 20*k - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + r - 419 = -3*n, -3*n - r = -315. Suppose -24 = -5*f + 2*f. Suppose -f*d + 13 = -7*d. What is the highest common divisor of n and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:33 PM and 10:23 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 3*p**2 + 5*p - 5. Let b be n(-7). Suppose 394 = -3*g - b. Let t = -2503\/15 - g. What is the third smallest value in 0.4, t, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -3. Let q(h) = h**2 + 5. Let u be q(0). Let s = u + w. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 28700195 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-22)\/4)\/11*(-18)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -100 (base 14) to base 16\nAnswer: -c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-16\/7)*((z\/z**(-9)*z)\/z)\/z*z*z)\/((z*z**13)\/z*z*z**(-10)) assuming z is positive.\nAnswer: z**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2108 and 126480.\nAnswer: 126480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/3*10\/5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 25625118 to the power of 1\/2, to the nearest integer?\nAnswer: 5062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of (-309)\/(-1*1) - (-28 + 23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 2 + 0 - 7214*g - 5.\nAnswer: -7214*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = -2*f - 7*t + 3*t + 12, -4*t = f - 2*t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 15\/244 and -39\/4819?\nAnswer: 19276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4541, 2, 5, 0.6 in descending order.\nAnswer: 5, 2, 0.6, -0.4541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10674 - 100. What is the thousands digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or -237\/70?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen eighths of a milligram in micrograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, u: 1, o: 4}. What is prob of sequence oo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -604*n**2*x**4 + 1330*n**2*x**2 + n**2 + 30*n*x**4 - n*x**2 - 2 wrt x.\nAnswer: -14496*n**2*x + 720*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -13*u + 261. Let s be j(17). Solve -8*b + 18*b = -s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(-8))\/(j*j\/(j*j*(j**4*j)\/j))*(j\/(j\/(j\/(j**1\/j*j))*j*j))**(-7) assuming j is positive.\nAnswer: j**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -4 (b) -2\/13 (c) -6102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1, -13, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 173*l + 15 = -5*j + 170*l - 22, 4*j + 5*l + 21 + 19 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -45\/32093 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 4*c, -5*s + 2*s + 2*c = -8. Let w = -2 + 2. Let y = -128 + 132. Solve w = -h - s*h + y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13 + 0 + 5 + -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 5422340 (base 6) to base 8\nAnswer: 1012424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-25 - -18) + ((-75)\/(-35) - (-2)\/(-14)). Let c(m) = 8*m + 5. Let q(r) be the first derivative of -26*r**2 - 32*r + 2. Give j*q(x) - 32*c(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of -3*q**7\/35 + 3*q**6\/10 + 2*q**5 + 34*q**4\/9 + 32*q**3\/9 + 8*q**2. Find d, given that m(d) = 0.\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s + 1 = -5*v, -3*s + 3*v - 2 = 8*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(8\/12) - (-5 + 0). Suppose 5*q = 3*d + 150, z*q = 6*q + 5*d - 120. Calculate the lowest common multiple of 54 and q.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -56*s**3 + 168*s**3 + 3*s - 3*s - 114*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ddidddiidddd. Give prob of picking 2 i.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40\/(-14)*546\/(-1404).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r**2\/3 - 725731*r\/3 - 241910 = 0. What is r?\nAnswer: -725730, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 AM and 9:36 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 33 = 2*r - 13, -5*c - 20 = -r. Suppose 0*n = -10*n - 100. Let d = r + n. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19 - 12. Suppose -20 - 29 = -w*z. Solve -2*c - 1 - z = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -218*c**2 - 16*c + 23. Determine i(2).\nAnswer: -881","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4 + (-4 - 5))*1. Let k be n*(1298\/25 - 0). Let c = k - -261. What is the closest to -1 in 5, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -984 - -1296. Calculate the least common multiple of j and 182.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/(v**(-1\/14)*v)*v*v**5*(v**(-4\/9))**(-36) assuming v is positive.\nAnswer: v**(309\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28688733?\nAnswer: 3, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.22 - -1.22. Sort -0.1, d, -2\/5 in increasing order.\nAnswer: d, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 618 minutes before 3:30 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 5737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of -w**5\/15 - w**4\/3 + 2*w**3 - 10*w**2\/3 + 52*w. Factor f(k).\nAnswer: -4*(k - 1)**2*(k + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132487 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2*v - 1. Let q(y) = y + 1. Let b(i) = -2*j(i) - 3*q(i). Let t be b(8). Let g be ((-3)\/2)\/(t\/(-14)). What is the greatest common factor of 30 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.575 + -0.035. Let v = -1.84 + k. Let h = 3.05 + -0.05. Which is the second smallest value? (a) 0.3 (b) v (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -461534027, -461534029, -461534031, -461534033, -461534035?\n\"Answer: -2*w - 461534025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, c: 4, h: 4, b: 2, s: 3, o: 1}. What is prob of picking 1 b, 1 o, and 1 y?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 287760 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 238 - 134. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -2*x - 6. Let s(b) = b**2 - 179*b. Determine k(s(r)).\nAnswer: -2*r**2 + 358*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-7)\/((-28)\/36) - -35*(-2938)\/11466. Let t = -591737\/52 + 11377. Let s = t + 30\/13. Put 3, u, s in ascending order.\nAnswer: s, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*l + 158 = -x, -61*x - 14 = -54*x for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1c21a2 (base 13) in base 12?\nAnswer: -2a7b14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (126\/112)\/(138\/2944)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 + -8. Let b = m - -5. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -28947 - -28953. Let d = 73 + -46. Suppose -4*w + 3*w + d = 0. Calculate the remainder when w is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 2 b, and 1 c when four letters picked without replacement from {c: 1, y: 1, h: 1, w: 2, b: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*z = -5*z + 20. Suppose -x + 3*i - 1 = -27, z*i - 22 = -2*x. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*s + 18 = 3*s. Suppose 0 = 2*l + 2*f + 4, l + f = s*l - 14. Suppose 3 = -l*i + 5. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**3 + 38*b**2 - 39*b + 83. Let p be u(37). Let q(c) = 22*c**3 - 4*c**2 + 4*c + 4. Let w(l) = 45*l**3 - 9*l**2 + 9*l + 9. Give p*q(o) - 4*w(o).\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(20)\/(sqrt(10)*1*6) + (sqrt(2048) - 2*sqrt(2048)) + sqrt(32))**2 + 3)*-3 + 5.\nAnswer: -27937\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -34*i**3 + 29921*i**2 + 3*i - 33221664 wrt i.\nAnswer: -102*i**2 + 59842*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 49.15135kg in tonnes?\nAnswer: 0.04915135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 30 and 10893660?\nAnswer: 10893660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 42876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 432 + 163?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32847.\nAnswer: 3, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*j**2*p**2 - 40*j**2 - j*p**2 + 82*j*p - 2*j - 5*p**2 - 17 wrt p.\nAnswer: 4*j**2*p - 2*j*p + 82*j - 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 6 - 4)*((2*t**2 - 3 + 3)*(7*t**3 - 8*t**3 - 7*t**3) + (-5 + 4 + 2)*(-t**5 - 2*t**4 + 2*t**4) + 3*t - 3*t - t**5 - 323*t**5 + 119*t**5 + 167*t**5).\nAnswer: 110*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*a**4*b**3 + 16*a**4 - 109*b**3 wrt a.\nAnswer: 24*a**3*b**3 + 64*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19) + -1 + 4 + 0 + sqrt(19) + 3 + 0 + -1.\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -367*u + 2*u**3 - 352*u + 727*u.\nAnswer: 2*u**3 + 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 314213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {a: 2, y: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(325)*-1*-5)**2.\nAnswer: 8124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the third derivative of 419*d**4\/12 + 640*d**3\/3 + 101*d**2 - 4. What is the first derivative of a(f) wrt f?\nAnswer: 838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 109 = 21*i + 1 - 81. Solve 2*f + 6 = -2*d, -11*f = -i*f + d + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -23*a**3 - 9*a**2 + 149*a + 1655. What is the hundreds digit of f(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 145*k**2 + 3*k - 1. Let f be w(-3). Suppose f + 1942 = 13*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 33*s - 30*s. Solve -o + 2*o - s = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -304 - -304. Let h(j) be the second derivative of 1\/18*j**4 + 1\/18*j**3 + 1\/60*j**5 + 0*j**2 + f - 4*j. Factor h(a).\nAnswer: a*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 5*r - 52 = 0. Let x be (1045\/(-190))\/((1 - -21)*3\/(-24)). Solve -14*m - x = -r*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 77.733*0.05.\nAnswer: 3.88665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of a**5\/270 + 61*a**4\/54 + 3721*a**3\/27 + 53*a**2 - 1. Factor b(i).\nAnswer: 2*(i + 61)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/87336 or -1\/256?\nAnswer: -1\/256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -81 - -78 - (-8 - (-2 - 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -5*z - 2. Let w = z - 0. Suppose -y = w*y - 12. Solve 2*x + 22 = 5*b, -2*b + 12 = -y*x - x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -r**4 - 3*r**4 - 782*r**2 + 3*r + 780*r**2 + 5 to u*r**4 + d*r + j*r**2 + b + g*r**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1357434*f**4 + f**3 - 7429*f**2 - 2*f - 101.\nAnswer: 32578416*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 3, -0.2, -5\/3, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 35422, 35458, 35494, 35530?\nAnswer: 35566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 31 - 27. Suppose -4*g = -6*i + 3*i + 85, -o*i + 5*g + 113 = 0. What is the smallest common multiple of i and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 21*q**2 + 8*q - 20. Let l(d) = 7*d**2 + 3*d - 7. Let g(v) = -8*l(v) + 3*r(v). Differentiate g(o) with respect to o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 22*t**2\/5 + 4768*t\/5 + 21090.\nAnswer: 2*(t + 25)*(11*t + 2109)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 2*l**3 + 7*l**3 + 13*l**3 - 2*l**3.\nAnswer: 20*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 12078266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 2\/553 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (-22)\/(-4) - (1 + (-6)\/12) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -b**2 - 10*b - 5. Let v(u) = -u**2 - 6*u - 2. Let s be v(-7). Let w be t(s). Calculate the highest common factor of w and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*x + 43*x - 16*x - 9*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -r**3 - 22486097*r**2 - 8*r - 2374978?\nAnswer: -6*r - 44972194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 623 + -628. What is the nearest to 3\/4 in 4, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes before 9:39 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/73, -0.3, 12, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 11621295*x**6 + 8280815*x**2?\nAnswer: 1394555400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x**3 - 5*x**2 + 3. Let o be g(4). Let m be (-2)\/(-5) - o\/5. Differentiate 0*k**4 - 5*k**4 + m*k**4 - 1 + 4*k**4 wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 444.02527 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.3 and 1075.93?\nAnswer: 1076.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/32 (b) 4 (c) 3\/8 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -2274.6 rounded to the nearest one hundred?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t**2 - 7*t + 7. Suppose 275 + 965 = 5*d. Suppose -4*y + 3*a + d = 0, -3*a + 118 = 2*y - 6*a. Calculate the remainder when y is divided by k(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times 2020915\nAnswer: -404183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4015 divided by 803?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand t**5 - 7*t**5 - t**5 + (0*t**4 + 0*t**4 - t**4)*(-3 - t + 3) + 2*t**5 + 3*t**5 - t**5 - 2*t**5 - 4 + t**2 + 4.\nAnswer: -4*t**5 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q**3\/3 - 1299*q**2 + 1264901*q + 3798601\/3 = 0. What is q?\nAnswer: -1, 1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find d such that -d**3\/5 + 7*d**2\/5 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3079147kg in micrograms?\nAnswer: 307914700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -141, 23, 0 in ascending order.\nAnswer: -141, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 4*w - 5*w)*(41374*w + 79 + 86 - 244 + 79).\nAnswer: -41374*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 - 108*p + 19*p + 38*p - 4 + 34*p.\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5682131 and 952.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3034394785?\nAnswer: 5, 199, 3049643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24640*5.\nAnswer: -123200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 15\/3*(19\/684)\/(15\/(-8)). Let l be (-8)\/(-6) - (-8)\/12. Suppose 1 = -3*s + l*s. Is s less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 135593721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.12, -0.08, 0.3, -1\/2, -15.0063, 0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*r**2 + 2 - 1 - 2*r**2.\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the second derivative of 2*h**3\/3 - 14*h. Let n(x) = -3*x**2. Give n(b(p)).\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 2 = -h. Let c(u) = -17*u**2 - 18*u**h + 32*u**2. Let t(o) = 6*o. Determine t(c(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 5*z - 4, 4*t + 2 - 15 = z. Suppose t*s + 49 = 229. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 5:48 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 299*f**3 - 62377526*f + 6*f**2 + 62377526*f + 3712 wrt f?\nAnswer: 897*f**2 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 + 1)*1*4\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 556*o + 8896. What is c(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -12 = -d + 43*w - 47*w, 8*w = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2841 + -1829. Suppose a = -15*p + 19*p. List the prime factors of p.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -520*w + 526*w - 666. Suppose 45 = -w*d + 116*d. Calculate the least common multiple of d and 61.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -34c + 0?\nAnswer: -34c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -2 - (14 - 3) - 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 10:09 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 5*t - 30 = 0, 57*q + t = 58*q - 10 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-172)\/(-3)*(-81)\/(-18). Suppose 0 = -2*r + 34 + p. Let d be (8 + r)*1\/2. What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -188 = -4*v + 140. Let k = -80 + v. Let b = -10 + 13. Solve -2*a + 0*u - b*u = -5, k*a + 7 = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i + 5 = -2*j + 3, i - 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 216, 2 in descending order.\nAnswer: 216, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 77 - 34. Let i = 48 - r. Suppose i*p - 2*p = 5*o - 10, -o + 5 = 0. Solve 0 = -5*a - 0 - p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1825896*p**5 + 5*p**4 + 50594673*p?\nAnswer: 36517920*p**3 + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00016070644 rounded to seven dps?\nAnswer: 0.0001607","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000119136 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 48 - 29. Suppose -w = 2*b + 53. Let r = 52 + b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -25052 + 250455?\nAnswer: 221403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -5341*v**5 + 3218*v**5 + 3233*v**5 + 3*v**5 + 8*v - 8*v + (0*v**2 + 4*v**2 - 3*v**2)*(v**3 + 2*v**3 - 4*v**3).\nAnswer: 1112*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(((-270)\/(-3672))\/(2\/16)))\/(3\/15)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of b**2 - 1\/6*b**3 - 1\/12*b**4 + 0 - b. Let g(l) = -l**3 + 15*l**2 - 3*l + 42. Let d be g(15). Determine p(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(10)*-2 + sqrt(10))\/sqrt(5) + (2*sqrt(4)\/sqrt(2))**2 + -1.\nAnswer: -sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 486205*b - 13613727. What is n(28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 2*h**2 + 4*h + 57. What is l(7)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*l**3 + l**2 - l**2 - 13*l**3.\nAnswer: 83*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = -19732 - -36567. Suppose 0 = -3*w - 10*w + c. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 9*w**2 + 11*w - 7. Let i(l) = 5*l**2 + 6*l - 4. Let o(a) = -7*i(a) + 4*n(a). Let g(v) = -v. Calculate -2*g(t) - o(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve s + 2*v - 10 = 5*s, -145 = -s - 2*v - 110 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 5, m: 1, c: 9, f: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6*62.3.\nAnswer: -373.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1291767968 or 1291767970?\nAnswer: 1291767968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -745 = 6*v - 2671. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 745 is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand 79*g**5 + 300*g**5 + 576*g**5 + (-g - 3*g + 2*g)*(g**2 - 2*g**2 + 3*g**2)*(g + 2*g - 5*g + g**2).\nAnswer: 951*g**5 + 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be 21\/(-35) + (-8226)\/(-10). Suppose n - 297 = 5*t. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-9)\/(-15))\/((-2)\/(10\/5))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -35*p**2 + 904*p + 55. What is l(26)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**3 - 7*g**2 - 7*g - 9. Let k be p(8). Let l be -10 + (k + 2)*3. What is the remainder when 54 is divided by l\/(6\/(-4) - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 321 is divided by 179.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 31 divided by -31\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and -2.964.\nAnswer: 5.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 335878 and 174?\nAnswer: 1007634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2 + -2)*(-461)\/(-2). Let m = u + 1769. What is the third derivative of 13*f**2 + m*f - 847*f - 14*f**5 wrt f?\nAnswer: -840*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -27*i + 56. Let x be f(2). Suppose -3 = x*d + 5, -3*o + 5*d = -272. What is the greatest common factor of 140 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2012 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z - 2. Suppose -12*p + 27 = 3. Let i(d) = 2*d**2 + d - 2*d - 4 - 3*d**p - 1. Determine -5*g(u) + 2*i(u).\nAnswer: -2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73*i**3 + 65*i**3 - 300*i**3 + 74*i**3 + 93*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3)\/(6\/(-8)) + (-8)\/3. Suppose p*q - 7\/3*q**3 + 0 - q**4 + 0*q**2 = 0. Calculate q.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -4*m + 6. Let y be w(-21). Let x = y + -87. Solve -x*b - 9 = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 450*y**2 + y - 8. Let r(i) = -i**3 - 10*i**2 - 10*i - 1. Let g be r(-8). Let w = -46 - g. Is d(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - v = 4. Let g = 53 + -50. Solve 0 = 3*l - v*c - 8, -l - 13 = -g*l - 5*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -7.65983 to 1 dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1054508 divided by -3.\nAnswer: -1054508\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {l: 8, f: 2, z: 5}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 1141320 by -6.\nAnswer: -190220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 179902?\nAnswer: 2, 293, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 70 and 3757355?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -m**5*r + 1454*m**5 - 20*m**2 - 7*r + 3 wrt m.\nAnswer: -60*m**2*r + 87240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 12880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/12)\/((-6)\/(-18)). Let l = -0.22 + 0.12. What is the closest to l in w, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 115443947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 - 6*z + 2. Let c be y(-6). Suppose 0 = -0*q - c*q + 12. What is the smallest common multiple of (q\/(-3) + 9)\/1 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qndj when four letters picked without replacement from snnqjsnndsnnd.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -11*u**2 + 4*u**2 - u**3 + 1 + 7*u**2. Let v be (-12)\/16 - (-3)\/(-12). Let a be (-2)\/6*-3 + -3. Let b(p) = p**2 - 2. Determine a*j(n) + v*b(n).\nAnswer: 2*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14 or 354\/25?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 568*l + 5369 + 574*l - 1917 - 1705*l + 565*l as k + u*l and give k.\nAnswer: 3452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -127 - 452 = -130*c + 201 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -1389 (base 13) to base 3.\nAnswer: -10212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0\/6 + 972\/(-3). Find the common denominator of 109\/20 and (s\/(-32))\/((-2)\/8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 300327 is divided by 139.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 2, -238, -3, -2 in increasing order.\nAnswer: -238, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t + 1 + 0 + t**2 - t. Let b = 8 - 10. Let j(i) = i**2 - i. Let r(f) = b*j(f) + w(f). Determine n so that r(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/6 - 77\/(-21). Suppose -k*n + 12 = -90. Is 2\/(4\/n) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2355 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) 0.1358\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbyybbb. Give prob of picking 1 b and 1 y.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - n + 2*u = 12, 8 = 3*n + u. Let b be -1 - (2 + n)\/(-3). Let h be 8 + -3 - (3 + b). Solve 3*t - 14 = -h, -5*t = -5*l - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 14 = -5*o. Suppose -3*v + o*v = -5*y + 90, 2*y - 121 = -5*v. Suppose -j = 2 + 3, 2*p + j - v = 0. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -808 - -1197. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 176 divided by -22\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 79098 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 4*n + 628 = 52, -5*n - 160 = -o. Let f(q) = 2*q**3 - 14*q**2 + 3*q + 7. Let y be f(7). What is the greatest common divisor of y and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 5*k + 18, -2*g - 4*k + k = 29. Let f = -5 - g. Let z(r) = -r**2 - 2*r + 25. Let u be z(4). Solve -q = -u - f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*r - 4*z + 18, -2*r - 4*z + z = 18. Let s be 27\/(-6)*6\/r. Solve n = s*n + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = -5*j + 2. Let q = 12 - 7. Let h = q - j. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 881111474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -2*v**3\/5 + 74*v**2\/5 + 2242*v\/5 + 2166\/5 = 0.\nAnswer: -19, -1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*i + 2*i - j + 2, 4*i + 2*j = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**2 - 7*j + 2. Let z(l) = l**2 - 14*l + 6. Let n be z(14). Suppose -3 = -y - n. Does 14 divide o(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0027995 to 5 decimal places.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + -18 + 7 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 24 - 0. Let t(x) = 2*x**2 - 8*x + 20. Let b(w) = -3*w**2 + 38*w + 15. Let k be b(13). Calculate the smallest common multiple of v and t(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 676 minutes after 5:33 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/(7 - 15) + -6. Let k(n) = -49*n - 72. Is k(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9030.806 tonnes to grams.\nAnswer: 9030806000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -8*d**3 + 5*d**2. Let i(y) = 9*y**3 - 6*y**2. Let t(z) = -6*i(z) - 7*l(z). Calculate t(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/8*(-6)\/81*-12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 2506 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: Put -4, -0.06, -46284 in increasing order.\nAnswer: -46284, -4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(300)*-1 + sqrt(300) - sqrt(21)\/(2*sqrt(7))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((f*f\/(f*f**(2\/9))*f)**14)**36)**(6\/37))**(1\/9) assuming f is positive.\nAnswer: f**(1792\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -67598, 1\/9, -0.3?\nAnswer: -67598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*j**2 + 20*j**4 + 207*j**3 - 2 + 7*j**4 - 29*j**4 to the form u*j + q*j**4 + v*j**3 + k*j**2 + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 830995, 1662032, 2493067, 3324100, 4155131, 4986160, 5817187?\n\"Answer: -k**2 + 831040*k - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1a4d - 2?\nAnswer: 1a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -255527.7448 rounded to the nearest 10000?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**3 + 3*g**2 - 9*g + 22. Calculate o(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12663.3 + 12154. Let q = i - -509. Which is the third biggest value? (a) -4 (b) q (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 3*b - 12 = 0, -w - 5*b - 20 = 4*w. Suppose -2*d + d - 6 = w. Let r = d + 18. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.01 in 1\/2, 0, 1, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 0*k - 4*k + 0*k in the form r + b*k and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be 7*90\/(-280)*(-1 - -13). Let t(c) = -41*c + 4. Let h be t(3). Let w = x - h. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -359 or -0.3?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.0309344 - 9.0313744. Let z = b + 9. What is z rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8 or -2424\/355?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5 - -8. Let f = 87 - 42. Suppose 4*s + i*o = 121, 13 + f = 2*s + 2*o. What is the greatest common divisor of s and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 0*i**2 + i**2 - 6*i - 1 + 0 - 2*i**2. Let h be g(-5). Suppose -u + 45 = h*u. What is the remainder when 16 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f - 1 - 9. Suppose -n + f = 4*k, 4*k + 10 = 5*n + k. Suppose -25 = -2*c - 19. Solve -q + 3*p = q - 4, n*p = c*q - 11 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2 - 8*w - 7. Let g be j(9). Suppose 7*z - 70 = g*z. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 3 + 5)*((2*p + 1 - 1)*(-2*p + 3 - 3) + (-5*p + 2*p + 2*p)*(-p + p + 2*p) + 22*p**2 - 44*p**2 - 36*p**2).\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -29 - 21?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -30092, -30093, -30110, -30143, -30192, -30257, -30338?\nAnswer: -30435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 13\/(-4) - 2\/(-8). Let r = 4 + -3.6. Let g = 2\/71 - 75\/142. What is the third biggest value in r, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 11:06 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 3 = 5*m - 0, 4*v - m = -15. Let f(p) = 0 + 0 - 2*p**2 - 4 + 0*p**3 - p**3. Let a(j) = j + 1. Let g(z) = -2*a(z) - f(z). What is g(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/29769 in 1, -4, 18, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1323 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = d**3 + 7*d**2 - 9*d - 3. Let b be z(-8). Factor -26*v**3 - 24*v**3 + b*v**3 - 5*v**5 + 30*v**4.\nAnswer: -5*v**3*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0006745 rounded to five decimal places?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -b**3 + 4*b**2 + 13*b + 14. Let t(s) = s**2 + 3*s - 35. Let m be t(5). What is the tens digit of w(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 170.863 + -171. Let g = 0.15 + q. Let x = 0.0129903 - g. What is x rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -31, -219, 69?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -110*f**3 - 16*f**3 - 46*f**3 - 107 - 116*f**3 wrt f?\nAnswer: -864*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b + 139996*b**2 + 6 - 6*b + 14*b. Let g be d(3). What is g rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -161655*48\nAnswer: -7759440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -2*v + 69. Suppose 2*d - v = d. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 251 (base 8) to base 15\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence we when two letters picked without replacement from wcwwzeczwz.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 140 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: Which is smaller: 0 or -1\/52506?\nAnswer: -1\/52506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 8*d = 15, -252 = -3*j - 3*d. Let a be j*(7\/(-3) + 3). Round a to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = i**3 + 4*i**2. Let u be m(-4). Let o(s) be the first derivative of -1\/20*s**5 + 1\/8*s**2 + u*s - 1 + 1\/12*s**3 - 1\/16*s**4. Factor o(d).\nAnswer: -d*(d - 1)*(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 1827408 = 2*g + 569810, -2*v = 5*g - 1257598. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5399*f = 5110*f. Let -2\/7*k**3 + 4\/7*k**4 + f*k**2 + 0*k - 2\/7*k**5 + 0 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 31.6 + -32. Let t = -15 + 18. Let s = -11 + 7. What is the nearest to t in -1\/9, s, j?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 8 and -8959.946?\nAnswer: 8967.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/71)\/s)**(-2\/51)\/(((s\/s**43)\/s)\/s**(-12)) assuming s is positive.\nAnswer: s**(112397\/3621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -y**4 + 65*y**3 + 23554*y**2 - 11403132 with respect to y.\nAnswer: -4*y**3 + 195*y**2 + 47108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 - 3*u - 1. Let g(h) be the first derivative of -2*h**3\/3 - 8*h**2 - 4*h - 13. Let j be g(-8). Determine w(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-w + 2*w - 3*w)*(-511880*w + 1 + 525525*w - 1) + (0*w + w - 2*w)*(-5*w + 0*w + 3*w) - w**2 - 3*w**2 + 3*w**2 to the form s*w + f*w**2 + z and give f.\nAnswer: -27289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 136 (base 14) in base 12?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1204344034 (base 5) to base 10\nAnswer: 2809269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 28*o**2 - 320384*o + 91536.\nAnswer: 4*(o - 11442)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(10) - (sqrt(10) + (sqrt(90) + -2*sqrt(90) + sqrt(90))\/sqrt(9) + sqrt(10) - sqrt(10))))\/(sqrt(2) + sqrt(6)\/(sqrt(6)\/sqrt(2)) - -1*sqrt(18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + m = 9, 4*o = 3*m - 379 + 390 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (-1323378)\/(-26) - 580\/3770 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3.1 + -3.074. Let z = 5.246 - 5.219971. Let f = o - z. What is f rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1298, -2698, -4098, -5498?\n\"Answer: -1400*u + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 6 - (-2 - -6) - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - 11) + 4 + (15 - 2) + 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and -5878.\nAnswer: -1763.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 288 + -287. Solve 4 = -2*a + y + 6, a = -4*y + k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3980 and 2150?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1\/203 - -4469\/609. Suppose 0 = -3*b + 13 - 4. Suppose -b*r = -r - 8. Calculate the common denominator of r and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -200868*u**2*y**2 - 186418423*u**2*y - 53*u*y**2 + 2*y**2 wrt y.\nAnswer: -401736*u**2 - 106*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v**3 + 87*v**2 + 183*v + 93 = 0 for v.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132898794 is divided by 94?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = -9 - -19. Let z = 12 - w. Suppose 0 = 3*h - 2*k - 91, z*h = -k + 38 + 32. List the prime factors of h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 5*b - 6*s - 185, -b - 4*s + 52 = 0. Let i = b + -23. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 20 and 303968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -44, -89, -134, -179?\n\"Answer: -45*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -31? (a) -3 (b) -0.3 (c) -19\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 + 7*u**2 - 5*u + 1. Let b be d(6). Suppose 3*x - m + 1 = b, 0 = 2*x + 5*m - 21. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2315 divided by -163\nAnswer: -2315\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s - 2*t - 6, 3*s - 15*t + 3 = -16*t. Suppose s = -5*n + 15*n. Solve n = 4*o - 2*o - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*-161893.\nAnswer: 64757.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**2\/9 + 1070*l\/9 - 472.\nAnswer: -2*(l - 531)*(l - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 7.291 to one dp.\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) be the third derivative of a**6\/72 + 7*a**5\/12 - 29*a**3\/6 + a**2 + a. Let i(u) be the first derivative of z(u). Factor i(h).\nAnswer: 5*h*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 697760 and 894005?\nAnswer: 28608160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3 > -287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -550*b. Let n(a) = 16*a. What is n(x(r))?\nAnswer: -8800*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*b - 0. Suppose b = -0*j - 2*j. Is ((-14)\/(-4))\/(j\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -758*c**4 - 2702.\nAnswer: -3032*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 946782*u**6 - 170512*u**2 + 1?\nAnswer: 113613840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 1065370772 greater than or equal to 1065370774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -117?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50024340.\nAnswer: 2, 3, 5, 19, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 3364, 13449, 30258, 53791, 84048, 121029, 164734?\n\"Answer: 3362*l**2 - l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -7 (b) 1\/28 (c) -317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -93 and -87 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -fcce4 (base 16) to base 2\nAnswer: -11111100110011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*g + 1 - 1. Suppose -5*q - 5*m = -155, -192 = -5*q - 4*m - 33. What is the tens digit of (q - 3) + 2 + -4 + g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -11011010202221 (base 3) to base 8\nAnswer: -10327020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3215689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 2*j - 45, -5*j - i = i - 65. Calculate the remainder when 58 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15 - 7148*g + 14303*g - 7152*g.\nAnswer: 3*g + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 825\/16 (c) 8 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -200*t - 467*t - 751 = 8293 + 17636 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 871284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 57*b - 6. Let i be p(-1). Let m be 6\/((-9)\/54*i). Let r = -43\/4 + 11. What is the nearest to r in m, -0.2, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*h - 32*h = -3345. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -6 + 8 + (-13)\/6. Which is the closest to -3\/22? (a) m (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7873128 microseconds in milliseconds?\nAnswer: 0.0007873128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3441244 + 4?\nAnswer: -3441240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/21 in 0.1, -0.12, -0.029?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 6 = -4*x. Find the second derivative of -17*j + j - j**2 - 4*j**x + 10*j wrt j.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 216760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 45*x**2 + x. Let j be o(-1). Let p = j - -18. What is the remainder when p is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-55)\/(-15) + 2\/(-3). Find the common denominator of h\/(-28)*2 - 0 and -81\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**3 - 26*i**2 - 59*i - 128. Determine y(-11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**4\/8 - 151*f**3\/8 - 2655*f**2\/4 + 7371*f\/2 - 4563.\nAnswer: -(f - 3)*(f - 2)*(f + 78)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 72\/(-30)*21\/(-63)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 37 = -32. Suppose 6*n - n - 167 = 3*y, 0 = o*n - y - 159. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 103414?\nAnswer: 2, 29, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -4*2*65\/416*8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1054 + -0.05?\nAnswer: 0.0554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let 841\/3 + 58\/3*z + 1\/3*z**2 = 0. Calculate z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.875945 centuries to decades.\nAnswer: 38.75945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 16*q + 46. Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 185 minutes before 3:48 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - 2 + 4. What is the derivative of -15*h**2 + 0*h**2 - h**a - 19 wrt h?\nAnswer: -32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w + 20*w**2 + w + 1256*w**2.\nAnswer: 1276*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i + 2*i - 49. Let j be 3\/15*69 + (-5)\/(-25). Calculate the highest common factor of i and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -27*(-67)\/7236 - 11\/(-20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 - 4 + 3)*(-3*o + o + 4*o)*(273 + 175*o**3 - 273) in the form t*o + x*o**4 + y*o**2 + b + n*o**3 and give x.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h + 65 - 43 = -4*w, -w = -3*h + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4076175*t**3 - 2859362 wrt t?\nAnswer: 12228525*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 32143 - 1530?\nAnswer: 30213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 453457 (base 8) in base 13?\nAnswer: 54a84","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -10. Suppose -4*u + 10*y - 7*y + 622 = 0, q = 3*u - 5*y - 461. Let s = u - 33. List the prime factors of s.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 952445*n**2 - n - 203823?\nAnswer: 1904890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**2 + 25*g - 49. Determine l(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (15\/(-600)*50)\/(1\/12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 - 42?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2512\/32970*12\/16?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1927 a factor of 3357146174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 699.3213kg to micrograms.\nAnswer: 699321300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1584090 is divided by 1584028?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3595459 and 1211?\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b - 4*t + 43 = -b, -4*b - 5*t = 88. Is -29 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -252516.\nAnswer: -1\/252516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*r - 112*r = 67*r - 5060 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1253543 is divided by 299?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 126 + 183 = -3*x, 0 = 5*x + 5*s - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1226233\/30 - 40870. Calculate the common denominator of i and -86\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from uuuududduduuudduudu?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 - 6*q**2 - q + 7. Let c be t(6). Let h be c\/2 + 21\/6. Suppose -2*d = -h - 0. Calculate the smallest common multiple of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 5 + sqrt(3388)*5*-5*1.\nAnswer: -550*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10939 is divided by 376?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let -2*v**2\/13 - 144*v\/13 + 296\/13 = 0. What is v?\nAnswer: -74, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000120142 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1728659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5426226129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnnnn. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 1 i, and 1 y when three letters picked without replacement from {q: 10, y: 2, a: 2, i: 6}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 55\/6 (b) 2\/45 (c) 6 (d) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 335160.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 454*k = 481*k - 1350. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - ((-6 + 0 - 1) + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 7:39 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*d + 14*d - 4*d)*(2*d**2 + 0*d + 0*d) + (-13 + 13 + 141*d)*(0*d**2 - 4*d**2 + 2*d**2).\nAnswer: -232*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 + 4*u**2 + 3*u + 3. Let h(o) = o**2 + 7*o - 11. Let f be h(-8). Let g be a(f). Let v = 99 - 95. Solve 0 = g*r + v - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1*(-3 + (-4 - (-27)\/1)). Solve -6 + 23 = -f + 3*i, -c = -5*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d - 23. Let n(a) = 2*a - 70. Let u(i) = -3*n(i) + 8*q(i). Does 5 divide u(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 4 = -i. Let b(v) = 2*v**2 + 7*v - v**i - 11 + 0*v. What is the units digit of b(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17 - (-2 - (-28 + 29))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 29502, 59247, 89222, 119421, 149838, 180467, 211302?\n\"Answer: -m**3 + 121*m**2 + 29389*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - 42919?\nAnswer: -4291b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, -5, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -210122130 - 12323?\nAnswer: -210201113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1\/2)\/((-6)\/(-72)). Suppose 3*l = d + 3. Solve l*v - 6 = -0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 8*p + 256. Let c be u(-31). What is the highest common factor of 256 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -22876, -91274, -205286, -364924, -570200, -821126, -1117714, -1459976?\n\"Answer: -2*n**3 - 22795*n**2 + n - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - (-2 - 18) - (0 - 7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 8, a: 5}. What is prob of sequence rrr?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*q**5 - 6553*q**4 + q**3 - 4504174*q wrt q.\nAnswer: 120*q**3 - 78636*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 12\/3113?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/326744 and 101\/81686.\nAnswer: 326744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -603*f + 124*f = 249*f - 18430 + 67934 for f.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*f - 4 - 28*f - 27*f + 4.\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 146.307 plus 131630?\nAnswer: 131776.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -50\/11 or -0.03238?\nAnswer: -0.03238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 10 - 4 = 0. Suppose -p + 174 = y*v - 4*p, 3*p = -5*v + 282. Is v a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25 - -2) + (17 + -54 - -9).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the third derivative of f**8\/20160 + f**5\/6 + 5*f**2. Let w(k) be the third derivative of p(k). Let n(c) = -5*c. Give w(n(l)).\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**3\/4 + 3415*h**2 - 354653*h\/4 + 1152073\/2.\nAnswer: -(h - 13634)*(h - 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*r**4*y - 2*r**4 - 5223*r**3*y + 2*r**3 + 35*r**2*y + 116*r*y wrt r?\nAnswer: -48*r*y - 48*r - 31338*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 8*r + 12 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14, -45, -140, -271, -438, -641?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Do 2822 and 2823 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 2*b = -472, 5*b = -0*x + x - 179. Let n(o) = -o - 21. Let k be n(-35). Calculate the greatest common factor of k and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2011000 + 0?\nAnswer: -2011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*m**2 + 88 + 6*m - 26*m + 13*m - 112 to q*m + t*m**2 + s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1445 - -2591. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -201375\/4 - -50548. What is f in -4*f + 0 + 1083\/4*f**4 + 50*f**2 - y*f**3 = 0?\nAnswer: 0, 4\/19, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 410 a factor of 1306670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0*(28\/(-8))\/(-7). Sort b, -1\/2, -3, 5 in descending order.\nAnswer: 5, b, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 7*b - 75. Let t be x(11). Let z = 705 - 705. Solve -2*v + t*q = z, 3*v + 0*v + 15 = -2*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8857 + 8856.82. Which is smaller: -47 or w?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 576*a = -310*a - 1494*a + 88060 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 2*g = -i - 23, 4*g - 4 = -2*i. Let a be (i - (-2)\/2)\/(-2). What is the nearest to a in 0.1, -0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*z - 31*z + 183 - 38 - 145 - 15*z.\nAnswer: -33*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3246380 to the nearest integer?\nAnswer: 1802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8*2\/282)\/(1504\/1128)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 345872.\nAnswer: 2, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16*d**3*w**2 + 2038*d**3*x - 121*d**2*w**2*x - d**2*w*x + 45*d*w - d*x + 995*w**2*x + w*x wrt w.\nAnswer: -32*d**3 - 242*d**2*x + 1990*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/2*46 + 1. Let x = 3 + 5. Calculate the remainder when (1 + 0)\/(-1) + y is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b = -24988 - 3824. Does 94 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 1734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**3 - i**2 + 4*i. Let f be a(-3). Suppose s - 1 = 8. Solve s = 3*c - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r\/(r\/(r*r\/r**(34\/5)*r)))*r)\/(r**(-25)*r) assuming r is positive.\nAnswer: r**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 393*c**2 + 0 - 344*c**2.\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4 and 72033?\nAnswer: 288132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p = -4*w + 35, p = 2*w - 4*p - 55. Solve -2*v + 0*v + w = -3*z, -4*z + v = 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -137\/228 and 49\/100?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-c - c + 3*c)*(2 - 478*c - 463*c + 863*c) to h + v*c + p*c**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -4*sqrt(170)\/(sqrt(50)\/sqrt(5)))**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -17 less than 446?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of -15 + 2*f**5 + 3\/4*f**6 + 1\/2*f**4 - 13\/4*f**2 - 3*f**3 - f. Factor p(c).\nAnswer: (c - 1)*(c + 1)**3*(9*c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 357470512.\nAnswer: 2, 7, 101, 31601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -209, 6, 6078, 0 in ascending order.\nAnswer: -209, 0, 6, 6078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/5, -26\/5, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 - 130*r - 1398. Give g(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 108975 and 5100.\nAnswer: 7410300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -64 (b) 22 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) be the third derivative of u**6\/30 - u**5\/30 + u**3 + 13*u**2 - 5*u. What is i(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(-3)\/x*(x**(-5)*x)\/x*x**(-3)*(x*x*x**(1\/12)*x)\/x assuming x is positive.\nAnswer: x**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3740 and 3740.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1056597587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 AM and 12:31 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24300252?\nAnswer: 2, 3, 761, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 + 4. Let d(k) = k**3 - 2*k - 4. Let w be d(p). Suppose -2*s + s = -i - 1, -2*i - w = -5*s. Solve 0 = 3*t - i*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/(-6) + 6\/(-4). Let m(b) = 21*b + 13. Let f(j) = 14*j + 9. Let t(d) = 7*f(d) - 5*m(d). What is the units digit of t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 5*r = -15, 0 = -3*g + 2*r + 15 - 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the third derivative of -z**5\/45 - 497*z**4\/72 - 62*z**3\/9 + 581*z**2. Solve i(g) = 0 for g.\nAnswer: -124, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 17*o + 2. Let q be a(-2). Let l = 59 + q. Let d = l - 17. Solve -t - 5*k = 2 - d, 4*t = -k - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -616 + 620. Sort 0.07, 1, -0.1, v in decreasing order.\nAnswer: v, 1, 0.07, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 32 = -2. Let j(c) = c**2 - 5*c + 4. Let n(u) = 15*u - 2. Calculate the remainder when n(2) is divided by j(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4b3a - -7a?\nAnswer: 4bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 45155 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**3 - 25*i**2 - 57*i - 348. Calculate t(19).\nAnswer: -3597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 10:47 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(-2))**(-17))**(-7\/2) assuming w is positive.\nAnswer: w**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 2*m**2 + 3*m + 2. Let b be f(-3). Suppose 4*a - 43 = -b. What is the common denominator of 50\/11 and a\/18*(-52)\/(-8)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 9570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1686 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 y(n) = 14*n + 99. Let c be y(-7). Suppose 3*z = 2*p, -46 = -5*p - 0*p - 4*z. Sort -4, -5, p, c in descending order.\nAnswer: p, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61173 is divided by 3112.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from {i: 7, b: 11, q: 1}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -954018441 divided by 106002049\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the second derivative of c**5\/2 - 10*c**4\/3 - 20*c**3\/3 + 20*c**2 + 21*c + 1. Let a(g) = g**2 + g - 1. Give 40*a(v) + k(v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -164*r**5 - 76*r**4 + 32*r**2 - 17*r + 4690 wrt r?\nAnswer: -3280*r**3 - 912*r**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooo when three letters picked without replacement from nzossososzosossz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 1593.508 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z - 13*n = -44, -3*n + 33 = -5*z + 29 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -213559324, -213559322, -213559320, -213559318, -213559316, -213559314?\nAnswer: -213559312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (l - 4 + 4)*(-2 - 14 + 8)*(54*l - 116*l - 40*l).\nAnswer: 816*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 5 - 3)*(1 + 3 - 3)*(0*f**5 + 0*f**5 + f**5).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 + 4*i**2 - 3*i + 1. Let q be p(-4). Let r = 126.74 + -126.44. Which is the closest to -2\/9? (a) 5 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 227216, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11100101010101101 - 100010111?\nAnswer: -11100101111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 5*o - 4. Let u be i(13). Suppose -5*m = -5*v + 365, -5*m = -2*v + 3*v - u. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 - 52 = -19*f. Solve f = -m - 3*k, 5*k - 4*k = -2*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -107*t**2 - 5*t + 5. Let a(g) = -2193*g**2 - 102*g + 102. Give 5*a(u) - 102*m(u).\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3114 and 66778.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 101 divide 1418848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -31, -7, 1884, 7.\nAnswer: -31, -7, 7, 1884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3670653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-1\/2))**(-2\/21))**(5\/9)*(l*(l\/(l\/(l*l**(-1)*l)))\/l)**(-2\/43)*(l**(1\/4))**(1\/18) assuming l is positive.\nAnswer: l**(-401\/65016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2159280602 to the power of 1\/4, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 249, 426, 471, 318, -99, -846?\n\"Answer: -11*l**3 + 254*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vvnvnvvvnvvvnn. Give prob of sequence vn.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -3*w**2 - 5*w - 21. Let n(l) = 4*l**2 + 7*l + 31. Let m(h) = 7*g(h) + 5*n(h). Differentiate m(r) with respect to r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-146 - -120) + -7 - 33.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -m**5\/2 + 17*m**4 - 345*m**3\/2 + 450*m**2.\nAnswer: -m**2*(m - 15)**2*(m - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -84 + 71. What is the nearest to -1 in 1, 5, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66404762 is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -4 + 27*s**2 + 8 - 86*s**2 - 23*s. Let j(a) = a**2 - a + 2. Let r(k) = 2*j(k) - w(k). What is the second derivative of r(i) wrt i?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 220 - 216. Let f(z) = -z - 12. Let i be f(-14). Suppose 7*a + i*d + 6 = 3*a, 2*a + 3*d = -9. Solve -s*r + 4 - 16 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 130456 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the first derivative of -q**2\/2 - 5*q - 124. Suppose c = -2*v - 7, 5*v + 5*c + 8 = -12. Calculate y(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 361215 (base 8) to base 2.\nAnswer: 11110001010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(8) + sqrt(2) - (sqrt(2) - (sqrt(2) + (sqrt(10)*-1)\/sqrt(5))))*4.\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**1*v*v)\/v)**38\/(v**(2\/5))**(-22\/3))\/((v**(1\/3)\/v*v**3)\/(v**(-2\/3))**(-3\/11)) assuming v is positive.\nAnswer: v**(4223\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 + 12. Let q(y) = 3*y - 8*y - 7 + y + g*y. Give q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -243*p - 148*p + 831*p - 158*p - 153*p - 203*p.\nAnswer: -74*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.8 or -27644721?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 1233 (base 4) to base 7\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(363)*3 + -2.\nAnswer: -2 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 80440 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -177245822?\nAnswer: -1\/88622911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g**4 - 328*g**3 + 2704*g**2 + 60168*g + 57132 = 0 for g.\nAnswer: -9, -1, 23, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 4.95193 less than -8\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2684*h = 2681*h - 4*l - 17, 0 = -5*h - 2*l + 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: What is the next term in -250, -259, -282, -325, -394, -495?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the third derivative of -h**5\/30 + h**2. Let b(w) = 9*w + 14. Let d(f) = 8*f + 12. Let s(t) = -6*b(t) + 7*d(t). What is x(s(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1061425250 to the power of 1\/3, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 456 divided by -6?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17212\/(-8736) + 2\/21)\/(0 - (-198)\/(-616)).\nAnswer: 35\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = x. Let v(i) be the third derivative of 0*i + 1\/24*i**4 - 3\/2*i**3 + 0 + i**2. Let f(k) = -3*g(k) + v(k). What is the derivative of f(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -14*y - 56 + 84 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**3 + 9*j**2 + 9*j - 8. Let o = -49 - -57. Calculate the remainder when p(o) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 5*b - 2. Let g be o(1). Let s be -12*((-32)\/(-12) - g) - 0. Solve -v = -0*v + s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cdu when three letters picked without replacement from {w: 1, y: 2, a: 4, d: 2, c: 3, u: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 14048071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:31 AM and 8:46 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9038 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -54 - -65. Let k(s) = -2*s + 31. Let w be k(y). Solve 0 = -3*l - 0*l - w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the second derivative of 0 + 0*n**2 + 1\/12*n**4 + 0*n**3 + n. Let w(b) = 3*b**2. Determine k(w(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x + 1. Let r be z(-3). Suppose 0 = -r*d + 9 + 55. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*t, -5*t = 2*q - 0*q - 58. What is the remainder when 34 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2835) - (sqrt(2835) - sqrt(2835)*-4))*-5)\/(sqrt(847) - (1*sqrt(847)*-3 + sqrt(847) + sqrt(847))).\nAnswer: 90*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -74*x**2*y + x**2 + 113*y wrt x.\nAnswer: -148*x*y + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 3 e when four letters picked without replacement from eyseeesyeedtyeyd?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 190, 189, 188, 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -2 - 3*f + f**3 - 7 + 12 + 10*f**2 + 10. List the prime factors of z(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*s + 92 = 3*f, -442282*s + 4 = -3*f + 4*f + 3*f - 442279*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -79*l + 4697 - 115 for l.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1073?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(132)\/(sqrt(99)\/sqrt(9)))\/((sqrt(196) - ((-2*sqrt(196) - sqrt(196)) + sqrt(196))) + sqrt(196)).\nAnswer: sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*q**3 + 196*q*s**2 + 345*s**2 - 90 wrt q.\nAnswer: -42*q**2 + 196*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 1.1078027 to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 458 minutes after 12:42 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1414, -2109, -2818, -3547, -4302?\n\"Answer: -y**3 - y**2 - 685*y - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 73.28 + -78.28. Which is the third biggest value? (a) -1 (b) -4 (c) 6\/5 (d) r (e) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 57.4324 years to centuries.\nAnswer: 0.574324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 550 - 386*y**2 + 550*y**2 - 359*y**2 - 550.\nAnswer: -195*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2\/9 - 82*j\/9 - 80\/9.\nAnswer: -2*(j + 1)*(j + 40)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/3 of a day in hours?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*h + 4617 - 4649 = 8*p, 0 = -2*p + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, b: 1, e: 1, f: 2, s: 5}. What is prob of sequence ns?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5322855 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 4*u**2 + u + 8. Let y(z) = 5*z**2 + z + 9. Let h(o) = 5*o**2 + 1. Let c be h(2). Let l be (28\/(-6))\/((-14)\/c). What is l*i(t) - 6*y(t)?\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 12? (a) -0.36 (b) -12\/5 (c) -4\/29 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -451 + 2*h - 465 - 429 + 4*h**2 - 2*h**2 + 1370. Let v(q) = -4*q**2 - 5*q - 50. Calculate -5*p(f) - 2*v(f).\nAnswer: -2*f**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -96 divided by -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes after 6:54 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2835380 is divided by 20109?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.87588 and -5.\nAnswer: 9.3794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-880)\/(-140) + (-6)\/21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*w**3 - 2*w**4 + 79*w - 80*w + 0 + 24 wrt w?\nAnswer: -24*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 - 57*q**2 + 11*q - 607. Let i be n(57). Solve i = 5*c, -6*c + 14 = -3*j - 4*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 2:37 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -288 (base 10) to base 7.\nAnswer: -561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 311 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the second derivative of -z**6\/720 - z**5\/60 - z**4\/12 + 2*z. Let g(k) be the third derivative of b(k). What is the units digit of g(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify s\/s**3*s*s**(-3)*((s\/s**2)\/s)**(-13\/5)*(s*s**(2\/11))\/(s\/s**(-1))*s\/(s\/((s*s**(-6)*s*s)\/s))*(s*s\/s**(1\/3))\/s assuming s is positive.\nAnswer: s**(-487\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1 less than 34871458341301?\nAnswer: 34871458341300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 45*n + 0*n + 93*n + (5 - 1 - 3)*(4*n - n - 2*n) + (0*n - 4*n + 2*n)*(1 - 3 - 1) to the form f*n + i and give f.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1094889 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.7 - 4.7. Let d = -463\/5 - -92. Sort d, -0.3, p in decreasing order.\nAnswer: -0.3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -11, -28, -37 in decreasing order.\nAnswer: -11, -28, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand -d**4 + 0*d**4 - d**4 + 7*d**4 - 4*d**4 + 12*d**4 + (2*d - 1 + 1)*(-d**3 + 2*d**2 - 2*d**2) + (21*d - 9*d + 8*d)*(0*d**3 + d**3 + 0*d**3).\nAnswer: 31*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:00 PM and 4:34 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (p - p + p)*(1 + 2*p**2 - 2*p**2 + p**2) - 2*p**3 + 5*p**3 - p**3.\nAnswer: 3*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -363877562*q - 361787726 wrt q?\nAnswer: -363877562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**32\/(a\/a**(-1\/11))*a*a*a\/(a\/a**(-34))*a*a**(-35) assuming a is positive.\nAnswer: a**(-386\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3 + -2. Let j be -13 + 322\/28 + 185\/110. What is the closest to -8 in j, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -120*z**3 - z**2 + 4*z - 231. Let g(r) = 239*r**3 + 3*r**2 - 10*r + 462. Let o(k) = -5*f(k) - 2*g(k). What is the third derivative of o(d) wrt d?\nAnswer: 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 9}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -222*z - 115. Let t be p(16). Let d be (-1 + t)*-5*(-3)\/(-6). Round d to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from {n: 2, d: 2, q: 9, z: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 183*o + 207985 - 199750 = 0 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.9672 - -9106.0328. Let g = w - 9106.996231. What is g rounded to 4 decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t + 16. Let s = 139 + -125. What are the prime factors of l(s)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 11214\/5*n + 10479483\/5 + 3\/5*n**2.\nAnswer: 3*(n + 1869)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -39792*p. Let k(y) = -23*y**2. What is v(k(s))?\nAnswer: 915216*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 575*m - 792864517 + 4651490236 = -510339281. What is m rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1772 is divided by 93?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2*3\/5)\/((-18)\/(-60)). Suppose -c = -3*l + l. Suppose 0 = 2*s + l*s - 12. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10*(-9)\/3825*15\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 259.6753 rounded to the nearest ten?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3866107322148 - 64.\nAnswer: -3866107322212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 + 11*j**2 + 10*j + 12. Suppose 3*v = 5*n + 47, 0 = 2*n + 3*v + 31 - 8. List the prime factors of t(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -413 = 7*w - 392 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10000111 - 1?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 PM and 6:21 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5 + -16456?\nAnswer: -16460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7007726127?\nAnswer: 3, 101, 23127809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 3*r + r = -5304, 0 = r - 3. Suppose x = 13*q - 816. What is the highest common divisor of q and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 3*b - 18, -3*n - 3*b + 30 = -0*b. Suppose 0 = -4*u, -40 = -2*v + 2*u - u. What is the remainder when v is divided by -2 - n\/8*-10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/8 and -11\/556.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4292\/395 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*i + 2*i + 89*i**3.\nAnswer: 89*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2426\/((-2)\/(-1))*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4363380 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -19*f**2 + 26*f + 7. Let c(w) = 7*w**2 - 10*w - 2. Let p(l) = 11*c(l) + 4*y(l). Give p(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 3*a = -39, -5*z = -10*z + 3*a - 45. Let h(k) = -3*k**3 - 6*k + 6. Let y(x) = 1. Let g(t) = -t. Let v(p) = g(p) + y(p). What is z*v(j) + h(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*r + 433*m - 434*m = 43, 4*m + 20 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -10*y + 2. Let u be o(1). Let s(x) = -x**3 - 9*x**2 - 8*x - 1. Give s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 10\/15*(-174)\/(-4). Suppose -5*o + 0*o - 4*z + 21 = 0, 0 = 5*o - 4*z - j. Solve -25 = 2*y - o*q, -y = 2*y - 5*q + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -2*v**2. Let z(x) = x**2 - 17*x + 49. Let w be z(7). Let j(t) = 192*t + 132. Let n(l) = 19*l + 13. Let y(r) = w*n(r) + 2*j(r). What is k(y(o))?\nAnswer: -450*o**2 - 540*o - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let 4*b**2 + 1368404*b + 4105176 = 0. Calculate b.\nAnswer: -342098, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 18753913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4.48 times 1?\nAnswer: 4.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 13, -615, 1, -204 in increasing order.\nAnswer: -615, -204, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 54, 85, 116, 147, 178, 209?\n\"Answer: 31*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8967 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/24 and -74\/2769.\nAnswer: 22152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - -2) + (1 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 214039.\nAnswer: 7, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t - 2*t + 2*t)*(1 - 1 + t) + (1 + 3*t - 1)*(-1 + 1 + 6*t).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1617405 rounded to four dps?\nAnswer: -0.1617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45\/30*(-4)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -677049, -677111, -677173?\n\"Answer: -62*a - 676987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of z**6\/120 - z**5\/60 - z**4\/12 - 2*z**3\/3 - 13*z**2 + 4*z. Calculate the smallest common multiple of u(3) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6.2 - -6.5. Put 12, m, 3, -2 in decreasing order.\nAnswer: 12, 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 174 divided by 21166.\nAnswer: 87\/10583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-51)\/612 - (-5)\/24. Let z = 0.08 + 0.02. Which is the second biggest value? (a) g (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 154 + -1847\/12. Suppose 5*t - 35 + 10 = 0. Let g be t\/(5 + -4 + 4). Which is the closest to g? (a) -0.1 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 5*b + 24, w + 2*b + 0*b + 6 = 0. Suppose -3*r + 3 = -w*d + 5, -4*r - 8 = -4*d. Suppose 22 - 250 = -r*i. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 3*k**2 - k. Let t be n(-1). Let s = -20 + 59. Suppose 5*b - 4*y + 8 - s = 0, 5*y = -2*b - 14. Sort -5, t, b in increasing order.\nAnswer: -5, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -229 - -159. Let y = -64.9 - b. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(-2\/9))\/(b\/(b**(-2\/9)*b))*(b**1)**4*(b**4\/b*b**5)**(4\/5) assuming b is positive.\nAnswer: b**(57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a factor of 1688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2120 + 1021212?\nAnswer: 1012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 - 144*w + 2 + 124*w to the form t*w + j and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-18))\/4*(-80)\/(-40).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -2*d**2 - 309*d - 619. Determine v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 138 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - 3*n = 4 - 12, -n - 4 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the first derivative of -9*j**2 + 0*j + 14\/3*j**3 + 7. Find the second derivative of n(o) wrt o.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -119*n**2 + n - 56 wrt n.\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 39\/2 and 267\/36 + -3 - 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 3 + 7)*(3 + 2 - 1)*(-1 - 3 + 2)*(-b + 0*b + 0*b)*(-4 + 3 + 2) as v*b + u and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -49*r. Determine z(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t be (12\/(-15))\/(126\/(-30) - -4). Let x(d) be the second derivative of 7*d**3\/6 - 3*d**2 - d. What are the prime factors of x(t)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a + 2. Let w(j) = 150*j + 8. Determine 3*s(c) - w(c).\nAnswer: -147*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 20*t**2 + 2. Let y(h) = -h**2. Calculate y(o(c)).\nAnswer: -400*c**4 - 80*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16996 or -16839?\nAnswer: -16839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 4*y - 4*a, -10 = -y - 32*a + 37*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -1 + 3*w - w + 3*w. Let q be m(1). Find the third derivative of g**5 - g**q + g**4 - 2*g**2 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*s - 9 + 406 = -91 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-8)*2*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 4*j**3 - 1124*j**2 + 26296*j + 57120 = 0.\nAnswer: -2, 28, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/13652 and 41\/16.\nAnswer: 54608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5 + -3. Solve 2*a = -i*a - 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-66)\/(-660) - (-76)\/3090 and 63\/22.\nAnswer: 6798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -33 + 33.3. Which is the second biggest value? (a) -3 (b) 19 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.2 and 48925278.\nAnswer: 48925277.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 2, c: 10}. What is prob of sequence cz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 5386.607 minutes to microseconds.\nAnswer: 323196420000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 626 + -626.4. Let t = -4.11 + 0.11. Sort w, 3, t.\nAnswer: t, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (6*u**3 + u**3 - 2*u**3 + (7 + 2*u**2 - 7)*(2 + u - 2))*(3*u - 2*u - 2*u)*(5 - 3 - 4) in the form w*u**3 + f*u**4 + s*u + d*u**2 + l and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*k**2 - 16*k**2 - 20*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t - 2. Let z be v(1). Which is the closest to -1? (a) 2\/11 (b) 0 (c) z (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1487 - -1492) + (2 - 2 - (1 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -968612.764 to the nearest one hundred.\nAnswer: -968600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/2? (a) 5 (b) 2.8 (c) -2\/3 (d) -4\/9 (e) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 467 divide 6171872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -133\/9 + 15. Let u = 1\/9 + i. Let a = -2 + 1. What is the nearest to -1 in 0.2, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6551.25795 less than 4?\nAnswer: -6547.25795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002313009888 to 7 decimal places.\nAnswer: 0.002313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((14\/(-2))\/(-49))\/((-6)\/7)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 10343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nnlnnnnn?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:20 AM and 1:56 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be 40\/22 + (-2)\/(-11). Solve -3*n = -4*r + 35, -16 = 3*n - f*r + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + 6. Suppose 2*r = -x + 7, -4*x + w*r + 55 = -6. Let z = 47 - x. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 394, 1533, 3438, 6115, 9570, 13809, 18838?\nAnswer: 24663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 0*q = 62. Let t be (4\/(-6))\/((-4)\/114). Let l(y) = 12 + 3*y**2 + t - q. Let s(b) = 2*b. Determine l(s(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -9*h + 2. Let y = -879 - -871. Let q(a) = 14*a - 3. Determine y*d(r) - 5*q(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {v: 1, x: 6, t: 2, k: 1, y: 1, n: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - 402378969.\nAnswer: -402378956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 7 = -3*o - 4, 0 = -5*o + 2*r + 23. Let a(h) = h + 1. Let y be a(0). Is 1*y\/(o\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 429224 and 40.\nAnswer: 2146120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 14*k**3 + k**2 + 8*k. Let i(g) = 3*g**3 + g**2 + g. Let u(x) = b(x) - 4*i(x). Let f(s) = 4*s**3 - 5*s**2 + 9*s. Calculate 6*f(a) - 13*u(a).\nAnswer: -2*a**3 + 9*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7 + 9. Let f = -939 + 1007. Let r be (7 - 91\/14)\/(o\/f). Which is greater: r or 49\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 2*x - 89*x**2 - x**3 + 24 + 96*x**2 + 3*x. Give u(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1608370 divided by 5?\nAnswer: 321674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1226 - -902. Sort 0.5, k, 2, -0.4.\nAnswer: k, -0.4, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 8, -46, -0.5, 202?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -2*b + 48. Let d be c(14). Solve -d = 4*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n**2 - 2234*n**3 + 6*n - 3*n**2 + 34 - 28.\nAnswer: -2234*n**3 - 5*n**2 + 6*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) be the second derivative of j**4\/48 + j**3\/12 - 63*j. Factor i(l).\nAnswer: l*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from aqcwq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*g**3*u - 16*g**3*v**2 - 2*g**3 + 48*g**2*u*v**2 - 2*g**2*u*v wrt g?\nAnswer: -90*u - 96*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-95)\/57*1\/(-5))\/((-2)\/(-90))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) be the second derivative of -2*n**3\/3 + n**2\/2 + 8*n + 5. Let j(x) = -4*x - 5. Let i(m) = 2*m + 3. Let b(s) = 5*i(s) + 3*j(s). Give 7*b(o) - 3*t(o).\nAnswer: -2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -1350*h + 227*h + 18723 = 4854 - 7468 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {o: 6, p: 8, i: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -2.44808566 to four dps.\nAnswer: -2.4481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 137627\/25 + -5505. Is 2\/7 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes before 9:13 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 44 = 4*u, u + 47 = 6*u + 3*h. Suppose 3 = -5*t - u. Is 3 a factor of t\/(-15) + (-5)\/((-450)\/2778)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2*o**2 - 3*o + 3. Let h(w) = w**2 + 2*w - 2. Let l(u) = 6*h(u) + 4*r(u). Let y(z) = -30*z - 13 + 32 - 19 - 29*z. Determine l(y(c)).\nAnswer: -6962*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 113317 and 3.\nAnswer: 339951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -730*v + 1932 = -716*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 460117 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**3 + 4*v**2 - 2*v - 6. Let j be y(-4). Let m(u) = -u**3 - 15*u**2 - 2*u + 170. Let b be m(-14). Solve -d - 1 = -3*k, j*k = -b*k + d + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 423 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of f**5\/220 - 11*f**4\/3 + 2662*f**3\/3 + 146*f - 11. Factor m(t).\nAnswer: t*(t - 242)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -3 divided by 7432245\nAnswer: -1\/2477415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*k*k**(2\/7)*k**(-33) assuming k is positive.\nAnswer: k**(-215\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 400*v - 425*v - 550 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 - 17*l - 7. Determine n(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 20, 38, 92, 200, 380?\n\"Answer: 3*g**3 - 3*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 3*k + 0*k = -50, 5*q = k + 186. Let m = -17 + q. Calculate the remainder when 80 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28675 and 444.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 6:46 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 1.26424 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -339 + 339 - 12*r**2. Let a(n) = -2*n. Calculate c(a(k)).\nAnswer: -48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = 6461 + -6456. Suppose j = 5*q - 15, -2*j - 5 = -j. Let z(u) = -6*u - 9. Let i(m) = 3*m + 4. Give q*z(a) + w*i(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = -60 - -33. Let m = -18 - v. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4.4 - -0.4. Let x = 12.21 + -8.71. Let z = o + x. Which is the third biggest value? (a) z (b) 1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 607902 divided by -3.\nAnswer: -202634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/39183 and -28\/9657?\nAnswer: 3408921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*g + 2*g**2 - g**3 + 13 + g**4 - 14 - g + 3*g**3 to the form j*g**4 + q*g**3 + l*g**2 + n + t*g and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 694837981 to the power of 1\/2, to the nearest integer?\nAnswer: 26360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 701 a factor of 411487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 575278892.\nAnswer: 2, 109, 137, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*w**6 - 34688*w**3 - 607062*w**2 wrt w.\nAnswer: 840*w**3 - 208128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 25265 and 1467?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**3 + 19*g**2 + 20*g - 5. Let n be v(20). Let a be ((-5)\/n)\/((-1)\/8). Let z be (-36)\/a*(-12)\/(-9). Solve -3 = -3*p + z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 5*c = -147, c - 308 = -5*y + 100. Suppose n + 14 = y. Suppose 0 = 4*q - 5*q + n. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 250.92 + -256. Let m = a - -0.08. Let s = 667.2 - 668. What is the smallest value in s, 1\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-64)\/96)\/((-42)\/7)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.37 - 3.46. Let b = 3.7 + d. Let f = -0.17 + b. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5008 + 5268. What is the lowest common multiple of c and 390?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mogdm. Give prob of sequence mo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 591 minutes before 11:21 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 2*t**3\/19 - 32*t**2\/19 - 72*t\/19 = 0.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3761?\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sssoscc. Give prob of sequence cc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + r - 3 - 5 = 0, 2*r = y + 9. Let u(b) = -b**2 - 3*b + 4. Let x be u(-4). Put y, 5, -2, x in descending order.\nAnswer: 5, x, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33292963*h**3 + 16646485*h**3 + 16646484*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 64 and 275032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 3*g + 6. Let r(u) be the second derivative of -u**2\/2 + u. Let o(t) = -t**2 - 32*t + 1. Let k be o(-32). What is k*n(h) + 5*r(h)?\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 5*q**2 - 2. Suppose 5*v + 8 + 47 = 0. Let x(p) = p**2 - 1 - 3 + 8*p**2. What is v*i(s) + 6*x(s)?\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 51 and 993.\nAnswer: 16881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 1, 38, 79, 0, -0.3, 0.2?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -2*b**3 + b**2. Let v be f(-1). Sort -1, -5, v, 1 in decreasing order.\nAnswer: v, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -50249, -200930, -452071, -803678, -1255757, -1808314?\nAnswer: -2461355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, t: 4}. Give prob of picking 3 t and 1 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ai when two letters picked without replacement from {b: 5, i: 1, l: 1, f: 3, a: 4}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 50, 52, 64, 92, 142, 220, 332, 484?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 27*m**2. Let j(b) = -b**2. Let w(a) = -6*h(a) - 153*j(a). Let u(k) = 5*k**2. Give 9*u(t) + 4*w(t).\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**4 + 28816*k**3 - 103881644*k**2 + 622512048*k - 933379218.\nAnswer: -2*(k - 7201)**2*(k - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2938 + 2941. Which is the closest to -2? (a) p (b) 0 (c) -0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(-3*1\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*r + r = -27. Solve -3*j + 3*h = -h - 14, r*j + 4 = -5*h for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3698560070 - -21.\nAnswer: -3698560049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppppplplp. Give prob of sequence pplp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 207 is divided by 50.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 211664 is divided by 531?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -9*b - 1. Suppose 4*o - 6 = 5*o. Let a(s) = s. Let x(i) = o*a(i) - l(i). Determine x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - 4*r - 4*r = -48 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4533 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1532314 and 34?\nAnswer: -52098676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 81323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 94645a (base 13) to base 12\nAnswer: 11b3bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -280 + 2281*h - 1142*h - 65 - 1142*h in the form a*h + c and give c.\nAnswer: -345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 1. Let q(v) be the second derivative of 0 + 2*v**2 - 60*v + 1\/2*v**3. Give -5*g(u) + q(u).\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {v: 4, f: 7, s: 2, g: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-3)*l\/l**(3\/7)*(l**(1\/4)*l)\/(l*l**(-1\/2)) assuming l is positive.\nAnswer: l**(-47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + -41698089?\nAnswer: -41698084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5157216 - -7?\nAnswer: -5157207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 2, d: 1, i: 2, x: 3, a: 1, f: 3}. What is prob of sequence fa?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 55080 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*u - 167 = -67 + 980 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2\/157 + -161\/314. Let c be (-2)\/(-1) + (-66350)\/(-70). Let n = c - 958. What is the common denominator of n and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 293935?\nAnswer: 5, 58787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 0 + 3 = 0. Let q = 269 + -230. Let a = g + q. What is the remainder when a is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -3.31 and 173972.856.\nAnswer: 173969.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-24)*2\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**2 + 12*g - 8. Let c be (-88)\/(-16)*(-4)\/(-2). What is the remainder when 7 is divided by m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 655, 411, 165, -83?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/9))**(-5\/3)\/(h**(-4)\/h)**12 assuming h is positive.\nAnswer: h**(1610\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 4*w + 28 = -6, 5*r - 5*w - 10 = 0. Let t(z) = -2*z + 8. Give t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -u + 5*u + 10 - 10 as i*u + g and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44.916043 + 225345.\nAnswer: 225300.083957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 + 9. Let i be -5 + (-1 + m - -1). Sort -1, -3, i in decreasing order.\nAnswer: -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12105460 minus 540?\nAnswer: -12106000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*g**2*p**4 - g**2*p**2 - 565*g**2*p + 13*g*p**4 - 2*g*p**3 wrt p.\nAnswer: -120*g**2*p + 312*g*p - 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v + 15*n + 13 = 14*n, -2*v + 4*n = -10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3423*o**5 - 47*o**4 + 97*o**3 + 693596723*o**2 wrt o?\nAnswer: 205380*o**2 - 1128*o + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**3 + 6*i**2 - 6*i - 6. Suppose -4*x + 2 + 2 = 0, x - 12 = -t. Let w(n) = -2*n**3 - 11*n**2 + 11*n + 11. Give t*d(u) + 6*w(u).\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 2744, 5482, 8210, 10922, 13612, 16274, 18902?\n\"Answer: -p**3 + p**2 + 2742*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -5*i**2 + 9*i - 9. Let p(q) = 9*q**2 - 17*q + 16. Calculate 3*p(b) + 5*t(b).\nAnswer: 2*b**2 - 6*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -44*g**3 + 6*g**2 - 4*g + 4. Let m be c(2). Let p = 346 + m. What is the remainder when 45 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1326987*s**2*w**2 + 11*s**2*w - 112*s**2 - 1809*s*w - 4*w**2 - w wrt w?\nAnswer: 2653974*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + -2 + -222 + 225 - 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (11763 + 44*r**2 - 11763)*(-8 + r**2 + 8)*(-4*r + 3*r + 2*r).\nAnswer: 44*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 640963 and 289715276?\nAnswer: 289715276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5 - 6. Let b(a) = -6*a + 1. Let n be b(d). Let y = -4 + n. Solve -o + 4 = y*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 + 5 = -x, 3*m - 17 = -x. Factor 4\/9*p**3 + 0 + 2\/9*p**2 + 2\/9*p**m + 0*p.\nAnswer: 2*p**2*(p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = -10*s + 115. Suppose 4*r = -3 + s. What is the second derivative of -8*q**r + 46*q - 33*q + 2*q**5 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(78)*1 - sqrt(78))*1)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7\/308)\/(72\/132).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110101110 - 1?\nAnswer: 110101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(2\/21))\/(g**(10\/7)\/g*g) assuming g is positive.\nAnswer: g**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1047237372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 17196952 to the nearest integer?\nAnswer: 4147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 7, q: 2}. Give prob of sequence ssq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 838 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 3 + 4)*(3*a**3 - 378*a + 131*a + 245*a + 2 - 64*a**2) to o*a + l*a**3 + j + m*a**2 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 3 - 30*d + 1 - 31*d + 11*d in the form i*d + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*g + p + 20, -g - 24 = -5*g + 2*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17*a**2 - 18*a**2 + 27*a + 37*a**2)*(4 - 5 - 3)*(3*a - 3*a + 2*a).\nAnswer: -16*a**3 - 216*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 92 or 2706\/29?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 98295 divided by -5?\nAnswer: -19659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3\/(-4))\/((-1)\/(-4)). Let y = x + 5. Suppose -370 = -5*v + 3*l + y*l, 139 = 2*v - 5*l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**5\/4 - v**4\/2 + 7*v**3\/4 - v**2.\nAnswer: -v**2*(v - 1)**2*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 534488849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -10*s - 3. Let z(d) = 3*d + 1. Suppose 5*n - 23 = r, -4*r + 7*r + n = 11. Suppose 0 = -o - r - 2. Give o*w(i) - 14*z(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*u - 48 = 5*u. Let d = -650.3 + 650. Which is the closest to -1\/3? (a) d (b) -1\/14 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (12\/(-15))\/(2\/(-15)). Suppose t*d = -4*h + 4*d + 236, h - 2*d - 64 = 0. Let w = h + -418\/7. Put w, 0, -2\/5 in decreasing order.\nAnswer: w, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 13*t - 16*t. Solve -5*u = 5*d - t*u + 5, 3*d + 5*u + 9 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 342.97975 from -1063411.2.\nAnswer: -1063754.17975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.152 * 15.47041\nAnswer: -2.35150232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 28568.2083 rounded to the nearest 100?\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**2. Let o(j) = 82*j**2. Calculate o(k(h)).\nAnswer: 82*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a be (308\/(-21))\/(-1 + (-6)\/(-9)). Suppose a = z + 3*z. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l - 5*d + 9*d + 500, -4*l + 5*d + 1000 = 0. Let y = 270 - l. What is the least common multiple of y and 414?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*w - 78 - 98 = -12*w. Sort -5, 1, 26, w, 2 in decreasing order.\nAnswer: 26, 2, 1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/4)\/(((-75)\/60)\/(-5)). Solve 3*h + 15 = -z*v, 5*h = -2*v - 68 + 47 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 316 divide 51142684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k - 5*l - 1, k = -3*k + 3*l + 5. Calculate the least common multiple of 7 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-54 - -57) + -1 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -2816*v - 76020. Give p(-27).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 102342?\nAnswer: 2, 3, 37, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 7*h**2 + 8*h. Let b(w) = -6*w**2 - 8*w - 1. Let u(i) = -6*b(i) - 5*v(i). Let s be -1*2 - 14\/2. What is the tens digit of u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 838\/21 - (19\/21 - 1). Let h = -28 + k. What is the remainder when 63 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5802 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*m**3 - 51881414*m - 113187329?\nAnswer: 15*m**2 - 51881414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and 14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 275\/43? (a) -2\/3 (b) -0.08 (c) -2 (d) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 36 - 188. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 - 15*m**2 + 15*m - 11. Let k be u(-16). List the prime factors of k\/(-15) - (-340)\/12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 2, k: 1, u: 2, a: 4, n: 3}. Give prob of sequence nu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 213*p - 245*p + 32*p - p**2 + 6*p**2 - 6*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (1 - -40) + ((-11713)\/(-53))\/(-13)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -132312 divided by 149.\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**3 - 7*v**2 - 6*v - 3. Let t be y(-6). Let c be (1\/2)\/(t\/(-78)). Let p = c + -3. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 5, -2\/7, -10, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*f + 6*f - 810. Let s = f - 144. Are s and -15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1554 + -268?\nAnswer: -1811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 661898868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -92*g + 378. What is the smallest common multiple of x(4) and 1254?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -6*m + 25. Let o be v(3). Let h = -7 + o. Solve -3*u - s - 9 = -u, 5*s + 15 = h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 1 - 2)*(19*q + 6*q - 3*q) + q - 6*q - 2*q.\nAnswer: -205*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be (3 - -1) + (-5 - -3). Let a(q) = -3 - o*q - q - 3 + 2. What are the prime factors of a(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 * 7.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 471.007 times -3\nAnswer: -1413.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6215.7 - -6216. Which is the smallest value? (a) 0.1 (b) t (c) -78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xymf when four letters picked without replacement from {o: 3, y: 3, j: 1, x: 5, f: 1, m: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 672 greater than -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -37*h**3 + 151*h**2 - 2*h - 37. Let i(s) = 17*s**3 - 76*s**2 + s + 18. Let v(a) = -6*b(a) - 13*i(a). What is the second derivative of v(c) wrt c?\nAnswer: 6*c + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 3*w - 13. Suppose 4*k = -43 - 1. Let m be n(k). Let z = m - -65. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1023628 to the nearest integer?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) be the third derivative of m**6\/120 + m**5\/5 + 3*m**4\/8 - 11*m**3\/6 + 50*m**2 - 2*m. Calculate k(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(14\/((-4032)\/80)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9*0.0009.\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 120 (base 13) in base 3?\nAnswer: 21020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1f (base 16) to base 5\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3425415 and 3262300?\nAnswer: 68508300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 171 minutes after 2:10 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.3 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 49.5756 nanometers in kilometers?\nAnswer: 0.0000000000495756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 185, -5, 8, -3 in ascending order.\nAnswer: -5, -3, 8, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - 2. Let m = b - -10.2. Let i = 55 + -54.5. Sort m, i, -3.\nAnswer: -3, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38201 is divided by 3418.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is ((-36)\/(-63))\/(5\/7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, z: 2, n: 2, l: 2, u: 2, c: 3}. What is prob of picking 1 u and 1 l?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1370, -1685, -2644, -4601, -7910?\nAnswer: -12925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 218 - 14c1b?\nAnswer: -14a03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 339309 * -480.\nAnswer: -162868320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (74064\/432 - 165)\/(7\/(-9))?\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -3, -1\/606, 5, 2, 6\/7, -2\/79, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(190)*-1)\/(4*sqrt(40)\/sqrt(4)) + 0.\nAnswer: -3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -6125510 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 2682 - 5390 - 316*u + 2714 as i*u + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 9*w**2. Suppose 3*r - 256*y + 260*y = 33, 21 = 3*r + 2*y. Let t(b) be the second derivative of 0 + 1\/3*b**r + 0*b**2 - 6*b. Calculate s(t(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(2\/5))**(24\/7)\/((h*h**10)\/h**(-8\/3)) assuming h is positive.\nAnswer: h**(-1291\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 t, and 1 u when three letters picked without replacement from wuuusrurutrhssrwsu.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*x, -x = -3*z + 4*x + 16. Let u = -24 - -27. Suppose u*m = -n - 1, -5*m - z = -5*n + 23. Does -12\/11 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 9*i**3 + 2*i - 2. Let g(p) = 17*p**3 + 5*p - 5. Calculate -2*g(k) + 5*s(k).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 202122074 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: Which is greater: 15793958 or 15793956?\nAnswer: 15793958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*m + 3*h, -4*h - 2 = 4*m - 18. Solve -n = f + 4 - m, -n - 13 = 3*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -49*c + 11*c - 2*c**2 + 38*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -5*u + 4*o, -4*u = -8*u - 3*o + 29. Let r = 19 - u. What is the remainder when 55 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(352) + 5*sqrt(352)*3)\/(sqrt(176)*-1 + sqrt(11)).\nAnswer: -64*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -19 less than or equal to -3952\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, u: 2, w: 10, m: 1, e: 2, f: 2}. Give prob of sequence ms.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 109a8 (base 11) to base 3.\nAnswer: 210201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 41606 and 14288?\nAnswer: 27318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3330 - 203443?\nAnswer: -200113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1976 - 0.22006. Let m = 0.065228 + l. Let w = -0.043 + m. What is w rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -3121*w + 774. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 - -6. Suppose -2*k = r*k - 52. Calculate the remainder when 37 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*g**5\/3 + 1580*g**4\/3 + 28906*g**3\/3 + 19244*g**2\/3 - 59816*g\/3 + 10064\/3 = 0. What is g?\nAnswer: -37, -34, -2, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:29 AM and 3:38 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (10\/6)\/(2\/(-54)*-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve r = 5*u + 12, 62*r + 2*u = 57*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 2*y - 130 = 0, y = 4*c - y - 500. Suppose 4*j = 13*j - c. Let v(t) = -10*t - 7. Calculate the remainder when v(-6) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -12*d - 4. Calculate the remainder when 143 is divided by t(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 989887.8 litres?\nAnswer: 989887800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 47 + -1662392.\nAnswer: -1662345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 4:32 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4878 a factor of 295006806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 21120 and 40960?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3876 and 272.\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*t + 18205 - 17669 = 0. Let z(d) = -d**2 - 6*d + 3. Let v be z(-6). Suppose j = -v*u + 3*j - 39, -3*u + 5*j = 48. Is u greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4472 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*r + 3*r - r)*(1 - 2*r - 1) + (-8*r - 16*r + 13*r)*(0*r + 2*r - r).\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: ((-35)\/45*-12)\/(-2)*510\/68\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + -16. Let o be 20\/14 - n\/(-14). What is the biggest value in o, 21, 2\/9?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11 + s**2 - 1 - 12 - s**4 + 3*s to p + a*s**3 + m*s**2 + u*s + q*s**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2961\/52452)\/(7\/12).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(1\/5)*v*v*v)\/v**(-1\/3))**5\/(((v\/(v\/((v**2\/v*v)\/v)*v*v*v))\/v)\/v**(-2\/9)*(v\/(v**(-4)*v)*v*v*v)\/((v\/(v**(-2\/9)\/v))\/v)) assuming v is positive.\nAnswer: v**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5, -3, -31, -91, -195, -355, -583?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}