diff --git "a/data/dm_maths/full_data_2/2197_11255.jsonl" "b/data/dm_maths/full_data_2/2197_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2197_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Work out -31 * -10749.68.\nAnswer: 333240.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) -181 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - t - 20 - t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.598019 to 1 decimal place.\nAnswer: 63.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9744201563026 minus -0.4?\nAnswer: -9744201563025.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -14 (c) 10\/3 (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a + 1 - 208*a**2 + a - 45*a**2 to v + s*a + d*a**2 and give d.\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4741, -4750, -4773, -4816, -4885, -4986?\n\"Answer: -q**3 - q**2 + q - 4740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -300*t + 168*t**2 + 300*t as b + i*t + r*t**2 and give r.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -22. Suppose -4*j + 2 = n - 19, -n - j + o = 0. Suppose 5*x + 2 = g, -1 = -x - 4*g + 7. Solve x*v = -v + n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1293198712?\nAnswer: 2, 13, 41, 303283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*l**2 + 4*l - 15*l**2 - 3*l**3 - 3*l**3 + 2*l**3 to w*l**2 + h + x*l**3 + b*l and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 13 - 43. Let q(l) = -4*l**2 - 2*l + 1. Let f(h) = -h**2. Let p(x) = 6*f(x) - q(x). Let s(z) = -2*z**2 + 2*z - 1. Calculate g*p(c) + 7*s(c).\nAnswer: -2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 11 (b) 0.4 (c) 0.03 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 95.85 + -96. What is n rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 24*o + 18. Let l be g(18). Let c be (116\/10)\/((-4)\/40*2). Let z = c + l. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21965 * -9.9\nAnswer: -217453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -234.\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*b = 34*b - 2*x + 10, 5 = 5*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o - 3278. Let t(w) = -2*w**2. Determine t(c(q)).\nAnswer: -8*q**2 + 26224*q - 21490568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120188637 is divided by 80?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131249?\nAnswer: 131249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224230 and 680.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 3*k. Let m be f(-4). Let i be ((-114)\/76)\/((-1)\/m*-3). Let g be (7 - 2) + (-1 - -3). Solve -g*z + i = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1736441.4 hours?\nAnswer: 72351.725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*k - 0*k. Let r be (k\/8)\/((-1)\/(-110)). Suppose -r + 1015 = u. Round u to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -22. Let h = -10 + o. Which is bigger: h or 2.3?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 - 2*l**2 - 2*l**2 + (2*l + 2*l - 3*l)*(1447 - 45*l - 1447).\nAnswer: -43*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3))**(2\/13)\/((t\/t**(-7))\/t**(-2)) assuming t is positive.\nAnswer: t**(-136\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 3:30 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 27, 40, 53, 66, 79?\n\"Answer: 13*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 201.011716 - 201. What is q rounded to four dps?\nAnswer: 0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 2*t + 4*t)*(137*t**2 - 285*t + 285*t) to x + j*t**2 + m*t**3 + u*t and give m.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1702 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482 is divided by 96\/(5 - -1) - 5\/(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158528 = -41*b - 64840. Round b to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2036*g - 69399 - 28603 - 143039 = -65945 for g.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4)\/(1419\/(-4730)). Let u(l) be the third derivative of 0 - 1\/10*l**m + 5*l**2 + 3\/200*l**6 - 9\/40*l**4 + 0*l + 2\/5*l**3. Factor u(x).\nAnswer: 3*(x - 4)*(x + 1)*(3*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69 or -611?\nAnswer: -611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**3 + 14*d**2 - 5*d. Let t(i) be the second derivative of -i**5\/10 - 3*i**4\/4 + i**3\/2 + i. Let l(w) = 5*n(w) + 8*t(w). Let l(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1042540 - 2?\nAnswer: -1042542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*u**4 + 401 - 401 + (u**3 + 3*u**3 - 2*u**3)*(u + 3*u - 7*u) + (-u + 4*u - 2*u)*(2*u**3 - 3*u**3 - 3*u**3).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 246.191.\nAnswer: 248.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 222 = -198. Put 5, p, -4 in decreasing order.\nAnswer: 5, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009311 divided by -3?\nAnswer: -336437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 - 33 = -5*q. What is the remainder when 34 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3*a - 82908, -3*x + 2*a - 72298 = 10635. Let t = x + 967336\/35. Let k = t + 24\/7. Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0141*0.3\nAnswer: -0.00423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -8*z - 52. Let h(g) = -g. Let n(a) = 27*a + 207. Let t(s) = -4*h(s) + n(s). Let b(q) = 2*t(q) + 9*u(q). What is the first derivative of b(j) wrt j?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + i = -3 + 2, 3*h + i - 1 = 0. Suppose -6 = 4*y - 5*q, 0*q + h*q - 4 = 0. What is the nearest to y in -3, -1\/16, -4\/5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5215261.359 to the nearest one hundred.\nAnswer: 5215300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3505 = 7*o + 3393. Suppose -5*f = -34 - 76. Calculate the remainder when f is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 45. Let r be -3*-3*1\/3*p. Suppose 114*o = 115*o - r. What is the highest common factor of 75 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-7))\/((20\/56)\/(160\/(-128)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2131*j**2*r**2 - 10*j**2 - 5215*j - 58*r**2 wrt r.\nAnswer: -4262*j**2*r - 116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**3 + 13*c**2 + 3*c + 1. Let n(b) = -11*b**3 - 20*b**2 - 4*b - 1. Let v(r) = 5*n(r) + 8*y(r). What is the units digit of v(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**7\/12600 + s**6\/1800 + s**5\/600 + s**4\/6 + 3*s. Let o(p) be the third derivative of z(p). Suppose o(i) = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38001.3705 rounded to the nearest 10?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - j + 959944, -3*x + 4*j + 72580 = -503391. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**8\/42 - b**7\/126 - 97*b**6\/360 + b**5\/9 + b**4\/18 + 2*b**2 - 5490. What is m in q(m) = 0?\nAnswer: -2, -1\/8, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 9547.\nAnswer: 0, 5, 9547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(-2\/13))*q*q)**30)**17*((q\/(q**(-4)\/q)*q)\/q*q*q**(1\/2))\/((q\/(q**(-2)*q))\/(q*q**(-2\/7))) assuming q is positive.\nAnswer: q**(201051\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184562769 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.96, -2\/7, -2, 260, -2\/5 in descending order.\nAnswer: 260, 2.96, -2\/7, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, c: 13}. Give prob of sequence dcc.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1131 (base 6) to base 11.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132.428 + 132. Let r = c + 0.428. What is the closest to -1\/6 in r, -1\/2, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19902.009809 + 19902. What is v rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8)*36*(-10)\/135.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171.4 - -152. Let i = a + 19.4093. Round i to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2255 - 11858*y - 10037*y + 5122*y + 2256 - 4511)*(1 + 2*y - 1).\nAnswer: -33546*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12486921*-0.03.\nAnswer: -374607.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r - 864 = -19*r + 202. What is the greatest common factor of r and 2626?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = g - 12, 4*g = 6*g - 8. Find the first derivative of -29*x**3 + 10*x**u - 2 - 34*x**3 + 63*x**3 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*z**2 + 131*z**2 + 126*z**2 - 457*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36961585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:30 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 562169 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, j: 2, b: 1, f: 1, z: 2, o: 5}. Give prob of sequence jjb.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107, -156, -287, -542, -963?\n\"Answer: -7*n**3 + n**2 - 3*n - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(13 - 18 + 87*o - 77*o).\nAnswer: 20*o - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + -30 + (-19 - -23 - (0 + 18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 14) in base 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 8*b - 37\/112*b**8 + 0*b**6 + 1\/12*b**4 + 0*b**5 - 2*b**3 + 0 + 0*b**7 - b**2. What is the second derivative of m(p) wrt p?\nAnswer: -2220*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s**2 + 9*s - 10. Let g(i) = 15*i**2 - 9*i + 12. Determine 4*g(a) + 5*j(a).\nAnswer: -10*a**2 + 9*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 43807.91 millilitres?\nAnswer: 43.80791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4414474000 rounded to the nearest one million?\nAnswer: -4414000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*q + 4, 3*q + 3*w - 7*w - 10 = 0. Suppose -t + 0 = -q. Let n = 0 + 6. Solve -4*x - n = t*v - 2, -2*x = 5*v - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/4 - 106*u**3 + 9885*u**2\/4 + 8152*u + 5575 = 0. Calculate u.\nAnswer: -446, -2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(7*5\/(-2310)*-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 70*k - 20. Let l be c(1). Calculate the common denominator of 1400\/80*(2 + (-84)\/l) and 31\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 6.9. What is the third smallest value in -1\/6, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/50)\/(-4*(-3)\/(-15))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1354 + 1359. Calculate the least common multiple of g and 9\/(-3)*(150\/9)\/(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.73 times 2?\nAnswer: -15.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 24.82971 centuries?\nAnswer: 29795.652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 461 - 463. Let j(u) = -u**3 - 8*u**2. Let p be j(-8). Put 0.07, d, 2\/15, p in descending order.\nAnswer: 2\/15, 0.07, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 12*p - 17*p. Let m(z) = -z**2 - 9*z + 29. Let j be m(p). Suppose 45 = 2*r + j*r. Solve 3*o = -o - 4*b, -b - r = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 10 = -38*z. Suppose 3*c - 50 = c. Suppose 0 = -z*r + c + 5. What is the closest to r in -4, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {f: 3, x: 12}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = b + 212, 0 = -2*n - 2*b - 0*b + 80. Suppose -n*d + 37*d = 275. Let y = d + 55. Solve 2*w + 3*w = y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211368287 a multiple of 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 5:44 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184823 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -3*v + 15, 5*c = -5*v + 35. Let o = 252 + -2266\/9. Let z = 4\/9 + o. What is the second smallest value in v, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/y)**(-47)*(y\/((y*y*y*y**(2\/3)*y*y)\/y))**1 assuming y is positive.\nAnswer: y**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, 0.5, -282, 5 in decreasing order.\nAnswer: 5, 0.5, -0.3, -3, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 - 2*p + 2. Let k be q(1). Let z be (-42)\/28 + 3\/k. Solve 2*b - 6 = z, 0*b - 18 = -3*v - 2*b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369 + -145. Suppose -x = -8*b + b. Let h be 23\/4 + -6 - (-242)\/8. Is h != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**0*s)**(-22)\/((s\/s**(-3)*s)\/(s*s*s**(-3))) assuming s is positive.\nAnswer: s**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7754693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12911.58072 + -12912. Round r to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from {a: 1, e: 2, p: 3, o: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*r + 3*r, -2*h + 2*r - 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -953*n + 3073. List the prime factors of c(-22).\nAnswer: 3, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:29 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5 + 14986*l**4 + 360090*l**3 + 2251268*l**2 + 3482215*l + 1576050 = 0. What is l?\nAnswer: -15, -7, -1, 15010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 9*i**2 - 15*i**2 + 11)*(-4 - 1 - 9).\nAnswer: 42*i**2 - 154","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by 2320?\nAnswer: -79\/2320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17, 44, 71, 98?\n\"Answer: 27*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427898406 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 5*x. What is l(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1679247*o - 4. Let f be c(-5). Let a = 24611771 + f. Suppose -a = -4*i + 12984468. Round i to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36034 or -36142?\nAnswer: -36034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4301232 (base 7) in base 4?\nAnswer: 1333110021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.314559kg?\nAnswer: 314559000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 95737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128941 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*m - 19, 3*m = -5*x - 38 + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000157210573 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 102600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*h**2 + 36796 - 18469 - 18429 + (0 - 2*h + 0)*(-h + 2 - 2) - 1 + 1 - h**2.\nAnswer: 27*h**2 - 102","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 0*l**3 + 3 - 5)*(-2 + 5 - 2)*(-2 + 4*l**2 + 2).\nAnswer: 8*l**5 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 75 + 19*c**3 + 1\/2*c**4 + 0*c + 13\/2*c**2. Find the second derivative of a(j) wrt j.\nAnswer: 12*j + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-0.7349159\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ewz when three letters picked without replacement from zooueuw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**3 - 7*y**2 + 2*y + y**4 + 9*y**4 - 7*y**4 to the form s*y**2 + g*y**3 + h*y + x + z*y**4 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 7\/3*i**3 + 0*i**2 + 0*i - 8. Let g(f) = -4*f**2. Determine g(j(d)).\nAnswer: -196*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 - 1)\/(0 + -1). Let f be 3\/6 - 22\/(-4). Suppose -t - 2*t = f. Sort 1, c, t in decreasing order.\nAnswer: 1, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2055317, -4110635, -6165953, -8221271?\nAnswer: -10276589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 234 - 231. Solve 1\/3*p + 0*p**2 - 1\/3*p**b + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from yvykykvykvky.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*0\/(-6)*1. Suppose m = -42*f + 32*f + 140. What is the remainder when 23 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 2*f + 189 = 0. Let c = -17 + f. Let s be (-2)\/(-5) + (46\/c - 3). Is 2 equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 173*w - 26 = -169*w, -4*w = 5*y + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070*o + 1080*o + 110 = 0 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -261 and 4.\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*(c**(1\/6)*c)\/c)*c**5)\/(c\/c**4*c*c**(-3\/5))*c\/(c*c**(-2)\/c)*c**(3\/5)*c*c**(1\/5)*c\/(c*c\/c**(2\/9)) assuming c is positive.\nAnswer: c**(1031\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 4. Let x be k(9). Suppose 10 = -3*u - 4*d - 0*d, -x*u + d + 14 = 0. Factor -2\/3*z**4 + 0 - 2\/3*z - 2*z**u - 2*z**3.\nAnswer: -2*z*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 83385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 98b?\nAnswer: 989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = -2*t, 6*g + 2 = 4*g - 2*t. What are the prime factors of g - (-58 - (7 - 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 5. Let h = 22 - 4. Suppose -7*j = 2*j + h. Is r at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 104053025 and -499.4.\nAnswer: 104052525.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -547\/3 + 32267\/177. Let j = 127 + -128. Put 0, j, -0.5, d in descending order.\nAnswer: 0, d, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*(-3)\/(306\/2516)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*a - 3528 = -23*a + 124*a for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + 255\/(-35))\/(2\/(-14)). Suppose -3380008 = -m*i + 2*y, 5*y = 3*i + y - 5070016. What is i rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158215.79 rounded to the nearest one hundred?\nAnswer: 158200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((5\/(-5))\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*a + 2*u, -30 = -3*a - 6*u + u. Suppose 0 = 3*y - a*l - 73 - 476, -3*y = -l - 537. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcxxdxxdckd. What is prob of picking 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39479400.\nAnswer: 2, 3, 5, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1954.877272 rounded to the nearest 100?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnlq when four letters picked without replacement from {n: 1, q: 3, l: 5, b: 6}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 2*r - 1. Let v(p) = p - 1. Let k(q) = g(q) + 4*v(q). Let x be k(5). Let h = x - -4. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 - 2*p - 41*p**2 + 5*p**4 + 43*p**2 - 1 as m*p**2 + c + y*p**4 + x*p**3 + g*p and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 2*z - 5, -4*z + 26 = 5*f - 39 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -265?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, 0.1, -5, 3, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)\/x*x)**(-3\/16)*(x**(-1\/4)*x)**(-9\/4)*((x*x*x**(-2\/3)*x)\/x*x\/x**(-6))\/(x**(-1))**(-3) assuming x is positive.\nAnswer: x**(89\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1245 + -844. Let c = p + -77. Calculate the remainder when c is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + 7*f**2 + 7*f + 3. Let s be o(8). Is s <= -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(4*sqrt(475) + sqrt(475))**2.\nAnswer: 71250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8781.\nAnswer: 3, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -242, -236, -224, -206, -182, -152?\n\"Answer: 3*s**2 - 3*s - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 9*z**2 - 7. Let h be u(-4). Suppose 2*d = h*d. Let 3*k**2 + d*k**2 + 5*k**2 - 4*k**3 = 0. What is k?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 990 = 2*l - 1030, -2*d = -2*l + 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 372 + -261. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 50. Calculate the remainder when 30 is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 44 = -3*z. Let r(i) = i**2 - 1. Let v(s) = 6*s**2 - 6. What is z*r(y) + 4*v(y)?\nAnswer: 2*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3*d + 18*c**3 - 86*d**2 + 2 wrt d.\nAnswer: -2*c**3 - 172*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0533, -1\/7, -1, -0.5, -0.4.\nAnswer: -1, -0.5, -0.4, -1\/7, 0.0533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 105804904 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) - (4*sqrt(300) - sqrt(300))))\/sqrt(6))\/sqrt(10).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 46732 = 4*n, 5*n + 0*n - 58412 = -4*b. Let u = -8095 + n. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12938.559 to the nearest ten.\nAnswer: -12940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 232341 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 - 40*o**3 + 64*o**2 = 0. What is o?\nAnswer: 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100010011011101101100 (base 2) to base 12\nAnswer: 464b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 49. Let g = -38 + 83. Suppose c = 6*c - g. Do a and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1))**48\/(x**(-1)*x**(-1\/4)))\/((x*x*x\/(x\/((x*x\/(x**(2\/7)*x*x*x))\/x))*x)\/x**(2\/11)*x**(2\/7)\/x*x**(2\/11)) assuming x is positive.\nAnswer: x**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**4 - 252*l**3 + 516*l**2 - 260*l = 0.\nAnswer: -65, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6532441?\nAnswer: 6532441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - a**2 - 2*a + 32. Let q be f(0). Let d = q - 50. Let r(j) = j**2 + 17*j + 2. Calculate the lowest common multiple of 14 and r(d).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28107429 divided by 3647\nAnswer: 7707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -1\/8*o**4 + 0*o + 1\/3*o**3 + 0 + 19*o**2 + 1\/60*o**5. Factor j(c).\nAnswer: (c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 4*z + 9. Let s be v(5). Suppose -3*o + b - s = -7, -o - 3*b - 9 = 0. Put o, -1, 4 in decreasing order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - 307 + 329 = 0. Solve 0 = -3*j - 4*c + 5, 2*c - 3*c = i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12*m**2 - 15. Let a(u) = 3*u**2 + 4. Let n(v) = 15*a(v) + 4*z(v). Let q(y) = -40*y. Give n(q(c)).\nAnswer: -4800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19927\/6 + 6489\/2. Let h be (1 + (-3)\/2)\/((-9)\/1350). Let r = h + y. Do -1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12331*r**3 + 6618*r**3 - 2200*r**3.\nAnswer: 16749*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28875683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(128\/576).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -75*n**4 + 52*n**3 - 52*n**3 + 3*n**4 + 2*n**4 - 3*n**4 + (0 - n**3 + 0)*(2 - 2 - 2*n) - n**4 + 0 + 0.\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 16. Let b be r(11). Suppose -5*v + 59 = b*q - 6, 59 = 5*q - v. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -8*k. Let s be -4 - -3 - (k + -8). Solve 0 = -4*x - 0*x + s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 22537041.\nAnswer: 22537041.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0)*(-22)\/4. Let l = 7 - 14. Let d = l + y. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/578 and 29\/26214?\nAnswer: 445638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 6*k**2 + 2*k - 6. Let f be m(4). Suppose 15*q + 576 = -3*q. Let r = q + f. Solve 5*i + p = -3 - 10, 4 = -5*i + r*p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u - 756 = 0. Calculate the highest common factor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4683 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87997 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/257 (b) 7 (c) 5 (d) 0.26 (e) -0.2 (f) -4\/7 (g) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-1131253.3.\nAnswer: -4525013.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*j = -38, 24 = 2*w - 2*j - 2. Let z = 44 + -28. What is the highest common divisor of w and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*c*n**2 + 749*b**2 + 438*c - n**2 wrt b.\nAnswer: -2*b*c*n**2 + 1498*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*g - 1756 = -22476 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 2)*(a - a - 2*a) - a + 6*a - 6*a to g*a + h and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2664, 2668, 2674, 2682?\n\"Answer: w**2 + w + 2662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/32*4*2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 59, -1\/6, 7, -29, 0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5802227 rounded to 2 decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/36*6*(-4)\/10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-1\/2)*c)))**(-2\/7)\/(c*c**1\/c*c**(-1\/4)) assuming c is positive.\nAnswer: c**(-25\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77684*l**2*w**2 + l**2*w + 2*l*w**2 + l*w - 464*w**2 wrt l?\nAnswer: 155368*w**2 + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22022336 or -22022334?\nAnswer: -22022334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/132 and 89\/66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 3012312?\nAnswer: -3012303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35432 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 40 = 5*a, -4*a + 3*a - 30 = 3*b. Let g(k) = k**3 + 10*k**2 - 8*k + 12. Let q be g(b). Let r = q + 19. Do r and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -165, 14.27, -1\/8, -0.2, -10?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(-8\/9)\/(z**(2\/3))**25 assuming z is positive.\nAnswer: z**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -185*c - 19. Let m = 18 - 24. Let a(v) = -92*v - 9. Let g(j) = m*t(j) + 11*a(j). Is g(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 592005 or 2\/5?\nAnswer: 592005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*g**3*h**3 - 1141*g**2*h**3 + 2*h**3 + 502*h**2 - 20 wrt g?\nAnswer: 75*g**2*h**3 - 2282*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -187*w - 6. Let t(c) = -12*c - 1. Determine -2*p(j) + 10*t(j).\nAnswer: 254*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 3 - 2*x)*(1 - 1 + 2) + (25 + 35 - 332)*(4*x - 1 + 1).\nAnswer: -1092*x - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5790\/85 + (-4)\/34.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 34*l**2 - 243*l + 1291. Determine o(5).\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-23)\/(q*q**27))**(-2\/69) assuming q is positive.\nAnswer: q**(34\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 1. Let l(a) = 2*a**3 + 5. Suppose g + 2*u + 19 = 0, 5*u = -15 - 20. What is g*y(t) - l(t)?\nAnswer: -2*t**3 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 4 + 4)*(3 - 5 + 3)*(-3*h**2 - h**2 - 4*h**2 + (h - 1 + 1)*(-3*h - 3*h + 5*h)).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2115.543 days in hours?\nAnswer: 50773.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.94 - 4.18. Let r = -2.04 + 2. Let j = v - r. Which is the biggest value? (a) -2\/13 (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3652927, -3652974, -3653007, -3653020, -3653007, -3652962?\nAnswer: -3652879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 17*i**2 - 38*i - 4. Let z be f(19). Let h be (z\/8*6)\/(1 - 2). Solve 5 + h = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*g = -3*f + 7, 0 = f + g. Let m(w) = 150*w - 18. Calculate the remainder when m(f) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (450\/(-27))\/((-6)\/(-9)). Let z be (w - -25)\/(-1 - (-1 + 2)). Suppose -j - 4*y + 58 = z, -4*j - 2*y + 271 = y. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a. Let o(h) = 14630*h. What is o(i(j))?\nAnswer: 102410*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 7*a**2 - 6*a + 6. Let v be 2*(-2)\/(8\/(-10)). Suppose -v*g + 4*q - 18 = 0, -4*g - 36 = q + 3*q. Determine o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 92?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*f + 6965, -11*j + 5*f + 2786 = -9*j. Let t = j + -411. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -7*f**8\/48 - f**5\/30 - 3*f**4\/8 + 11*f**2 - 4. Find the third derivative of t(k) wrt k.\nAnswer: -2940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(2)*-1 + -5.\nAnswer: -5 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 611530566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of t**3 + 1 + 5*t + 37\/2*t**2. Find the first derivative of f(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l - 4*l + 5 - 28*l**2 - 15*l**2 - 45*l**2 wrt l?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 3*z + 3*r, 0 = 2*z + 2*r + 2. Let x be -9*(-3 - (0 + -2)). Solve z*p = 4*o - 5*p + 21, -p + x = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6243 or 16?\nAnswer: 6243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (-42)\/(-3))*2\/(-6). Let u(a) = -f + 6 - 3*a. Determine u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(-35)*(-20)\/36 + (-14)\/(-24). Sort 1\/4, m, -24\/17 in increasing order.\nAnswer: -24\/17, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57989 and 151719.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((1 - -8 - (39 - 31)) + -8 + 31)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7304328us?\nAnswer: 730.4328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + l**2 + (1 - 4 + 1)*(26*l**2 + 11*l**2 - 23*l**2) + (5*l - 6*l - 2*l)*(-3*l + 3*l - 3*l).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 31 - ((-2 + 0 + 4 - 8) + 69).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 5:57 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 54*r**2 + 5*r. Let i(m) = -53*m**2 - 7*m. Give 3*i(u) + 4*t(u).\nAnswer: 57*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*4*(-16)\/(-32). Suppose -r - 15 = -3*f - s*r, f - 3*r - 1 = 0. Let b be (0 - f) + 6*1. Let g(y) = 3*y**2 - y - 1. What is g(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.5 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:12 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d - 3405 = -2*b, -b + 4*d + 1704 = 0. Suppose -5*c + s = 5*s - b, 1670 = 5*c - 2*s. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3541*m + 4628. What is y(2)?\nAnswer: -2454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3, -171?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (6 - (-2 + 5 + 6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, i: 3, y: 2, o: 2, g: 2}. What is prob of sequence yi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r - 2*k + 16, 2*r + 10*k - 5*k + 8 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 89*r - 11*r. Let s be (-12)\/(-66) - (-224)\/(-22). Let o be s\/7 + (1 - 0). Is r >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 289096, 578202, 867310, 1156420, 1445532, 1734646, 2023762?\n\"Answer: s**2 + 289103*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/2 (b) 3 (c) 0.2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - w + 7, 0 = 3*p - 5*w - 5 - 0. Suppose -4*j + 2*y + 232 = 0, -3*j = p*y - 82 - 118. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (92 - 89) + (48\/(-45) - 2).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84656 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from iiiiiqqiiineininqqqz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17151 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14066090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8326*d**5*q + d**2*q - 3*d**2 + 18*d wrt d?\nAnswer: -499560*d**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2505 + -3714. Let l = -121438480511.00000639 - -121438481720. Let u = l + o. What is u rounded to 7 decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-108)\/60 - -8*(-2)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 43. Let o be n(14). Let a(l) = 59 - 2*l - 31 + o. Is a(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 159 = 0. Let d = 119 + z. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 5*d + 15. Suppose 5*b + 51 = -10*m + 12*m, -31 = -2*m + b. What is the first derivative of m*w**3 - 3*w**d + w**3 + 10 wrt w?\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 798211687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 78595857.9s?\nAnswer: 129.95346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 151*f + 5. Let h = 23 + -21. Is k(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-6)*b*b*b*b**2*b*b*(b*b*b**(1\/5)*b)\/b*b*(b*b\/(b*b\/b**6*b)*b)\/b assuming b is positive.\nAnswer: b**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 - -106. Find the second derivative of -m*r**4 + r**4 + 31*r - 20*r**4 wrt r.\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + 3.7. Let k = 2.7 - b. Let y = -2.4 - k. What is the closest to 0.1 in -7, -2\/11, y?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -15120.8 rounded to the nearest one hundred?\nAnswer: -15100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 + 0*a**2 - 7*a**2. Let q(g) = 2*g**2. What is s(q(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 + 2*d. Let v = 8 - 3. Let b(p) = -4*p**2 + 5*p. Let h(s) = v*m(s) - 2*b(s). Let f(i) = -5*i**2. Determine f(h(w)).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 8. Let f be m(8). Suppose -v - 7 = -4*p, 5 = 4*v - 8*p + 3*p. What is the units digit of (3 - 2)*(v + f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*p + 99*p + 366860 = 0. Round p to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 3*l - 1, 2*a - 38*l - 9 = -43*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/180 + i**4\/36 + i**3\/18 - i**2\/2 + 3*i. Let d(w) be the first derivative of a(w). Let d(o) = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 884499151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90573 and 5187?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Suppose 10 + m = 5*g. Determine a so that 3*a**3 + g + 6*a + 1\/2*a**4 + 13\/2*a**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**2\/2 + 27*k - 3. Let t be n(0). Calculate the greatest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 7*y + 85 = 0. Let r = 88 - y. What is q in -3\/4*q**5 + 3\/2*q**r + 0*q**2 + 0 - 3\/4*q + 0*q**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/80 and 61\/32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 178931800 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 - 3*k**3 + k**3 - 3*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4144 rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3592264306?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:06 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2895 and -2.14.\nAnswer: -6195.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.495 + -0.095. What is the nearest to 0.039 in 0, -0.1, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 2*q - 11. What is a(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*p = -5, 2*h - p + 4 = 2. Let x = -272.9687 + -0.0313. Let z = x + 270. Which is the second biggest value? (a) z (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20880 and 2984970.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 + 0.7. Let k = 78 - 391\/5. Suppose -18 = z - 4*v, 0 = -3*z + 2*z + 2*v - 10. What is the nearest to z in 0.1, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240*o - 15 = -235*o. Let q(n) = 5*n - 1. Give q(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 - 1.88. Let y = 5\/21 + 2\/21. What is the nearest to 2\/7 in j, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**2\/13 + 1200296*h\/13 - 800200\/13 = 0 for h.\nAnswer: -200050, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdeytyj. Give prob of sequence td.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.9, -0.04, 904, 2\/13, -1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -43. Suppose -120*b + 19*b + 558 = 85*b. Suppose -b = -3*t - n. Is t > -26\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 22*m - 8. Let t be l(4). Let p(f) = 19*f**2 - 6*f + 7. Let x be p(3). What is the greatest common factor of x and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36896 and 9224.\nAnswer: 36896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w**5\/3 + 9782*w**4 + 8594150*w**3\/3 + 80420294*w**2\/3 + 58094480*w - 83131400\/3 = 0 for w.\nAnswer: -2606, -319, -5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2091 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (61 + -3)\/(20\/210) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 i when three letters picked without replacement from {f: 2, a: 1, i: 2, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 68*d - 732. Calculate k(-55).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.9 + -94.1. Let l = -1723.1 - -1826. Let b = l + h. Sort b, 2, -10 in descending order.\nAnswer: 2, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655.71369 rounded to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6*x**2 + 5*x + 4. Let m = -44 + 42. Let n be 0\/(3 + m + -2). Suppose n = 6*j - 3*j + 6. Let g(s) = 3*s**2 - 2*s - 2. Give j*c(t) - 5*g(t).\nAnswer: -3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*(p**4\/p*p)\/p*p)\/(p\/p**(3\/2))*p*p\/(p**(2\/7)\/p)*p*p\/(p*p*p\/(p\/(p\/(p\/p**(2\/11))))*p)*p)**(-2\/7))**(-43) assuming p is positive.\nAnswer: p**(53191\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 4572 + 4572. Let b(k) = -934*k**2. Determine a(b(d)).\nAnswer: 1868*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 + 2277*g**3\/2 + 1711*g**2\/2 - 285*g = 0. What is g?\nAnswer: -1, 0, 1\/4, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(120\/14)*-3.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 31 - 13. Let q be (-9)\/(-12) + w\/24. Let f(o) = -3*o + 3*o + 1 + 5*o. What is f(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t - 20. Let p = t + -7. Solve 5 = 2*a + p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*w - 119 + 33 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yat when three letters picked without replacement from yfanfttnyattn.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 94*u**3 + 16*u**2 + 19*u - 6. What is z(-2)?\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 679222.7 litres to millilitres.\nAnswer: 679222700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 2*i**4 + 0*i - 2*i**4 - i**4 + i**4 + (5*i**3 - i**3 + 0*i**3)*(4*i - 2*i - 3*i).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1605 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 212. Suppose -2*q - 8 = -0. Let b be q - (2\/(-2) - 3). What are the prime factors of o(b)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33396971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/4)\/24)\/((-2)\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:55 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 31. Solve l*w = 5*p + 4 + 11, -9 = 3*p - 5*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 2, -2, -27, 33 in descending order.\nAnswer: 33, 2, -2, -27, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 11*i + 133 = 0. Let z(o) = -7*o**3 + 8*o**2 - 15*o - 1. Let f(d) = d**3 + d + 1. Let j(n) = -6*f(n) - z(n). Calculate j(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -272.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -101, -11, -4, 4, -2 in decreasing order.\nAnswer: 4, -2, -4, -11, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5358151\/102 + -52532. Find the common denominator of m and 48\/119.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85930 times 93\nAnswer: -7991490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 178 (b) -55 (c) -3 (d) 2\/25 (e) -5 (f) 0.5 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 13*a - 3234. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-5 + 9 + -5 + 10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from hihh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18148 - -6172. Suppose -15735 = -4*m - 2215. Let o = f + m. What is o rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80680 and 6920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*g + 2 - 24 - 134 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7978 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = -5*u - 55, 1438 - 1460 = 2*x + 2*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-49)*889\/635)\/((-4)\/50)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/19 (b) 18 (c) -3 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -173 or -18554\/107?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-5 + 0 + (sqrt(1008) - (sqrt(1008) + -1 + -5)) + sqrt(1008)*-2*5 + sqrt(1008))*6)**2 + -2) + 5.\nAnswer: -14696805 + 38880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -9 (c) 1\/5 (d) 0.01 (e) -29\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4526 by -12.\nAnswer: -2263\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -19 - (-15 - -9 - -13) - 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4828*z + 13697. What is y(-3)?\nAnswer: -787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:53 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111 - -127. Let i be (f + (-2 - -4))*1\/3. Solve -2*y + 2 = i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46565 (base 8) to base 5\nAnswer: -1113304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:55 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (128 - (-14 - -67))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -815*q - 4528 - 9327 = 0 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = a + a. Suppose 0*q + 99 = 3*y + 3*q, 99 = 3*y + a*q. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/((-6)\/(-57)) - (-1)\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w**4 - 693020*w**3 - 10005707256*w**2 - 48152466140624*w + 12038741902688 = 0.\nAnswer: -14438, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(4200))\/(sqrt(726)*-5).\nAnswer: -6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = t - 6*t + 2*f, -t + 2*f - 10 = 0. Let z(u) = -u**3 - 2*u**2 - u. Let x = 530 - 526. Calculate the remainder when x is divided by z(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6428540 + 13408760. Let z = -6979575.9347 + q. Let v = z + -644. What is v rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 - 66. Suppose 3*m + j*b - 1 = 0, m + 4*m + 3*b = 3. Put 7, 5, m in descending order.\nAnswer: 7, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3249? (a) 5 (b) 3\/5 (c) -8\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-4))\/(129\/1720*-85).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 5)*(4*k**5 + k**5 - 3*k**5).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 1217166?\nAnswer: 1217166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 9:12 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16098*b**3 - 894.\nAnswer: -48294*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 943*d**3*l*t + 275*d**3*t + 182*d**2 - d*t - 19074*l*t + 71*t wrt l.\nAnswer: 943*d**3*t - 19074*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. Let d = -3 - b. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28262338?\nAnswer: 2, 13, 107, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.106*0.2\nAnswer: 0.0212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 123 = 243. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5)\/((y**(1\/4)\/y)\/y))\/(y*y**(3\/7)*y**(-2\/9)) assuming y is positive.\nAnswer: y**(181\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 3, 65, -73 in descending order.\nAnswer: 65, 5, 3, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0101619 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/21)\/(b**10*b))\/(b**(-2\/13)\/((b**2\/b)\/b)) assuming b is positive.\nAnswer: b**(-2987\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 10:28 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 10, 5*s - 2*s - 5*t - 31 = 0. Let g(n) = n**3 - 6*n**2 + 2*n - 7. Let p be g(6). Solve -w - u + 3*u = 1, 5 = -p*w + s*u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 56. Let s be 9*r\/((-60)\/(-16))*-30. Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 7*o + 35 = 0. Let f be 3\/o + (-20)\/(-35). Solve -5*v + 4*v + 1 = 0, -f = u + 3*v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 9:41 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -1 - ((-3 - -1) + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (39\/((-6825)\/(-100)))\/(22\/(-7))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103030*s - 103031*s + 148 + 25*s**2 - 3*s**2 to f + w*s**2 + z*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*l**2 + 24*l**2 + 32*l**2)*(5*l - 2*l - 2*l)*(0*l**2 + 2*l**2 - l**2).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 + 36. Suppose n - q + 3 = 1, n + t*q = 13. Solve n*p - 12 = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/652 - 3961\/31948. Let n be (6\/14)\/(77\/27). Let l = x - n. Are -1 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 3*r - 9. Let k = 9 + -10. Which is the closest to k? (a) r (b) 4\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*m = 0, 2*n - 25 = 3*n + 4*m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/5 + 197296*p**2\/5 + 8874598*p\/5 + 32341784\/5 = 0.\nAnswer: -98603, -41, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*l - 109*l - 124*l to the form n*l + v and give n.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -17. Let m(j) = 20*j + 22*j - 59*j + 19*j - 8. Let q be m(g). Solve -q = -t - 2*k, 10 = -t - 4*k + 6*k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*o - 73 = 0, o = 3*d + 4*o - 21. Calculate the least common multiple of 15 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - c + 12. Suppose 5*s + 4 = -1. Let z = c + s. Solve -y = -z*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 28*p**3 - 4*p**2 + 2*p + 2. Let g be (-300)\/(-15) + (-1*2)\/(-1). Suppose -c = -5*n - g, -c - 6 + 12 = -n. What is the units digit of s(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567 and 486?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281637101 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43657 is divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 6 = 3*s. Suppose -4*c + 1040 = -2*d, s*c + 265 = 4*c - 3*d. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -947, -1943, -2939, -3935, -4931?\nAnswer: -5927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575100?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*n - 12 = 0, -3*s + 16 = -0*s + 2*n. Let c(o) = o**2 + 3*o. Let r be c(-4). Suppose 27 - 3 = r*a. Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 30 = 0, -6050 = -h - f + 671. List the prime factors of h.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Let q(z) = 102*z + 1. Is q(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -15*a**3 + 10*a**2 + 9*a - 11. Let p(v) = -2*v**2 - v + 2. What is d(x) + 5*p(x)?\nAnswer: -15*x**3 + 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:34 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -23. Suppose q*a = g - 7, -69 = -4*g + 4*a - 25. Calculate the remainder when 43 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 2*z + 0*z = 12, t - 4*z - 4 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (21 - 9 - (-6 + 2)) - -5 - -25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 2)*(-1 - 2 + 1)*(16*t + 0 + 0).\nAnswer: 192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y - 8*y - 132527 = -11495. Is 41 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v + 9. Calculate l(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-60)*(-4)\/(-6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25893, -51527, -77159, -102789, -128417, -154043?\nAnswer: -179667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/25 + (-12)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, -5, -2 in descending order.\nAnswer: 6, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -j + 4. Let h(w) = 307*w - 7. Let y(q) = -491*q + 11. Let z(v) = -8*h(v) - 5*y(v). Let s(k) = 5*k - 2. Give j*s(m) + 3*z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 3. Let b be y(-3). Solve -b = -4*j + r, 3*r + 4 = j + 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*q + 2. Suppose 20 = -8*j + q*j. Let y(x) = -x**3 - 2*x**2 + 5*x + 3. What is the units digit of y(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k. Let u(p) = -9*p. Let w(y) = 5*n(y) - 2*u(y). Let t(l) = l. Calculate t(w(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4 (b) 2\/9 (c) 1\/5 (d) -3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of 27*n**2 - 2*n - 3\/2*n**3 + 0 - 1\/12*n**4. Calculate s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 18*u - 61. Let b be 36\/(-8) - 3\/6. Let o be s(b). Put -2, o, -6, -1 in ascending order.\nAnswer: -6, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3221202 - -11?\nAnswer: 3221213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-i**3 - i**2 + i**2) + (6*i - 6*i**2 - 6*i)*(-3*i + 4*i + 4*i) + (0 - 2 + 1)*(30*i**3 + 1760*i**2 - 1760*i**2).\nAnswer: -58*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (-2 + (-9 - -10) + -11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74134, 148268, 222402, 296536, 370670?\nAnswer: 444804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -597 - -7051\/12. Let v = 2893\/2 + -1418. Find the common denominator of v and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*s - 42, -2*k - 5*s + 22 = 50. Let c be ((-56)\/84)\/((-1)\/k). Let u(b) = -b + 2. Determine u(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 10.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 7, 2\/7 in descending order.\nAnswer: 7, 2\/7, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -25*y + 12*y. Suppose y = 3*b + 6 - 12. Solve 1 = -b*m + 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 3:17 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 14*i**2 - i - 16. Suppose 5*w - 5 = f - 3, 5*w + 24 = 3*f. What are the prime factors of u(f)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 16. Let z(n) = 51*n - 5*n**3 - 7*n**2 + n**q - 46*n. Let r(g) = 4*g**3 + 5*g**2 - 4*g. Let c(w) = -6*r(w) - 5*z(w). Factor c(x).\nAnswer: x*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 569, 1278, 2271, 3548?\nAnswer: 5109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7892342.\nAnswer: 2, 89, 101, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15241?\nAnswer: 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 9*d - 23\/2*d**2 - 2. Differentiate b(o) with respect to o.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 136 (b) -1\/3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**5 - 698*l**4\/3 + 2720*l**3\/3 - 1010*l**2\/3 - 1264*l + 216 = 0. Calculate l.\nAnswer: -1, 1\/6, 2, 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/d**(-2\/7))*d)\/((d**(-2\/17)\/d*d)\/d))\/(d**(1\/7)*d)**28)**(-27) assuming d is positive.\nAnswer: d**(96930\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*q = 78*q + 607. Suppose 0 = 5*w + 5*z - 2220, -3*w + 725 = -z - q. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4222*c - 4 - 4217*c + 7. What is g(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-90)*3*162)\/((-3)\/2).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 2887*m**6\/40 - m**5\/60 + m**4\/24 - 179*m**3\/6 - 3218*m**2. What is the third derivative of l(n) wrt n?\nAnswer: 51966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7873018 millimeters to centimeters.\nAnswer: 0.07873018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 18 = 3*r - r, 0 = -m - 3*r + 12. Let c be 6\/(-9) + (-11)\/(-3). Suppose 7*d - 2*d - 83 = -c*a, 0 = -a - m*d + 29. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9765 a factor of 2094885450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -2*k**2 - 1. Let a(x) = 100*x**2 - 4*x**2 - 107*x**2 + 2*x**2. Calculate a(r(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.3 + -70. Which is the fourth biggest value? (a) q (b) -3\/4 (c) -6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 - 5 = v, 0 = 4*v - 16. Is p smaller than -1\/120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -3\/2, 81, 2, 49.9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 512133 or 512139?\nAnswer: 512133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30421.\nAnswer: 29, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8925)\/(-10200))\/(14\/(-8)) - 3\/(-22)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-147*p + 67*p + 62*p)*(-27*p - 192 + 192).\nAnswer: -972*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 9. Let i(t) = -t**3 - 12*t**2 - 13*t - 16. Let p be i(-11). Let n(y) = -5*y + 3*y + 5 + y**2 + p*y. Calculate n(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a2 + 50?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/6 - 29\/(-3). Suppose 4*u + u = b. Let i = -251786 - -251789. Solve x = -i*x + u*q + 10, 4*q = x - 20 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*n**3 + 0 + 0 + 0 + 228*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(((-4 + sqrt(1100)*1 + sqrt(1100))**2 - (-5 + (sqrt(1100)*-2)**2)) + 3).\nAnswer: -160*sqrt(11) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:00 AM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 140, 896, 2726, 6086, 11432, 19220?\nAnswer: 29906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 427281.9 decades?\nAnswer: 4272819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e80 + -3?\nAnswer: e7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -290, 451.2?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4914741 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 - 39. What is the biggest value in s, 4, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 4*g**2 + 4*g - 1. Give l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111 (base 2) in base 4?\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**5 + z**5 - 3*z**5)*(-11 + 4 + 4) - 1256*z**3 + 706*z**5 + 1256*z**3.\nAnswer: 700*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-386*c + 771*c - 349*c - 1)*(35 - 35 + 61*c).\nAnswer: 2196*c**2 - 61*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**5 + 9*p - 6*p**5 + 6*p wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + sqrt(176) - sqrt(176))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.3, 0.2667, -4?\nAnswer: 0.2667","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-2)\/7) + (-25575)\/(-525). Suppose -5*a = -2*g + 15, 0 = g + g + 3*a + 9. Solve g = w - 2*l - 5, c - 19 = -2*w - 4*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*n**4 + 336*n**3 + 87*n**2 + 6*n.\nAnswer: 3*n*(n + 2)*(7*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 295.\nAnswer: -3245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/7 and 51\/46.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 1432220269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*x - 3)*(9 + 6 + 2) + 5*x + 6*x + 8*x + (-x - 2*x + 5*x)*(0 + 2 + 0) + 1 - 1 + 2*x.\nAnswer: 76*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -9*k**2 + 9*k + 63. What is r(-6)?\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264 - 222. Let n be ((-18)\/(-8))\/(s\/112). Solve 3*y = -2*r + 16, 2*r - 5*y + 10 + n = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15cb7b (base 13) in base 5?\nAnswer: -114324143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -98179143.\nAnswer: -5\/98179143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**8)\/(k**(-3\/8)*k)*(k**0*k)\/(k\/k**(2\/9)))**(2\/83) assuming k is positive.\nAnswer: k**(-533\/2988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32636 and 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2\/3, 4, -112.1 in decreasing order.\nAnswer: 12, 4, 2\/3, -112.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6*o + 7. Let c be x(-7). Suppose 2*m + 5*z + 22 = c, -2*m + 3*z - 38 = -0*z. Let v = 24 + m. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0847614 years to decades.\nAnswer: 0.00847614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-8))\/(1\/(-14)). Let t = l - -3. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 37 + 29 = -36*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -55 times -0.4\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*f = 537*f + 4176 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -84, -392, -722, -1074?\n\"Answer: -11*d**2 - 275*d + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f. Suppose -5*q = -f*q - 500. Suppose -q = -s - 4*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(20\/15 - 3). Is k less than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 156, -1\/20, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**3 + u**2 - 4*u - 3. Let s be (-3)\/(3\/(-42)*3). Let b = s + -12. Let y(o) = 173*o**3 - 2 - 3*o + 0 - 175*o**3. Give b*l(d) - 3*y(d).\nAnswer: 2*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 - 131. Suppose -5*a - 118 = 3*u - 0*u, 5*u = -2*a - 184. Let k be g\/4 - (-9)\/u. Solve k*h + 6 = -14 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6135 - 2926. Suppose 932 = -3*p + z. Let v = p - -92. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1911146 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 - 6 = 0. Suppose i + 2*i = o. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 49 - 29 = 0. Calculate the common denominator of (-30)\/4*(-1)\/(-11) and i\/70*720\/(-64).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 447068 from -37.68.\nAnswer: -447105.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -384, -765, -1146?\n\"Answer: -381*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bd + -33?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38269, 75644, 113019, 150394, 187769, 225144?\n\"Answer: 37375*u + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 40*x + 3. Let q be d(-20). Let i be (q - -15)*61\/3. Let c = -253 + i. What are the prime factors of c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**3*s\/s**(-5) assuming s is positive.\nAnswer: s**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485091 is divided by 242538.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -300, -9, 1862 in descending order.\nAnswer: 1862, -9, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o + 2. Let k(u) be the second derivative of 11\/2*u**2 + 1\/24*u**4 + 0*u**3 + 0 + u. Let q(f) be the first derivative of k(f). Calculate x(q(h)).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2 - 6566*t - 999360 = 0. Calculate t.\nAnswer: -3123, -160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/20 - 74\/(-10). Let r(n) = 5*n + 165 - n**2 + 4*n - 2*n - 171 - n. What is r(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**3 - 2*z**2 + 1. Let o be x(-1). Suppose o*m = 9*m. Solve r + r - 8 = m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -4, -1\/3, -14\/219?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -a - 5*n, 3*n + n = -4*a + 72. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001078179 to six decimal places.\nAnswer: 0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 163*c = -160*c - 2, -9 = -5*u + 4*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4050321742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(44\/(-15)) + (-18)\/(-198).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -161*k**2. Let h(y) = -1300*y. Calculate m(h(q)).\nAnswer: -272090000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 191, 302, 429, 578?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqqatoaaatqqoqqqaqa. Give prob of picking 2 a.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -668 divided by -100\nAnswer: 167\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -107, -4 in descending order.\nAnswer: -4, -27, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 5*c + 4 - 1 = 0, -3*m - 3*c + 9 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {h: 1, w: 3, m: 5, n: 3, q: 2, b: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*o = -0*k - 19, -7*o = k - 19. Let i be (-345)\/(-8) - (k - 238\/(-112)). Solve i*s = 48*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-b**3 + b**3 + 6*b**3) + 31*b**3 + 17*b**3 - 77*b**3.\nAnswer: -41*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1123 divided by 26?\nAnswer: -1123\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -495 - -965. Suppose -7*q + 2*q + 5*m = -p, 2*m = -4*q + 370. What are the prime factors of q?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d + 1. Let p be z(-1). Suppose 4*y - 3*y = p. Solve -2*r + 9 = -5*r, 9 = 3*s - y*r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97093 is divided by 380?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2 - 482\/242). Calculate the greatest common factor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**3\/5 + 111*n**2 - 1113*n\/5 - 9011. Let l(s) = 0. Calculate s.\nAnswer: -371, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 844 and 3432970.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5\/4, -72, 0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 2, z: 6, c: 4}. Give prob of sequence dzz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -10 (b) -3 (c) -0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 3*n**2 + 7*n + 6. Let g be i(-4). Suppose 0 = -z - z + 20. Let b = z + g. Solve -5*k = -1 - b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a + 88. Determine d(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*b + 5 = 6, -5*j - b = 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 13 = -f, 9 = f - 4*f. Let y be ((-13)\/t)\/((-6)\/(-24)). Is y > 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039736759 rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 53. Let v be l(14). Differentiate -7*u + 19 + 167*u - v + 27*u + 2*u wrt u.\nAnswer: 189","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9804990 smaller than -9804988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296016375 to the power of 1\/2, to the nearest integer?\nAnswer: 57411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 - 10389372*t + 8994920879532 = 0.\nAnswer: 1731562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -27a7?\nAnswer: -27a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118372, -236741, -355110, -473479, -591848, -710217?\nAnswer: -828586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2460065 (base 7) to base 14.\nAnswer: -83735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.3 and -0.8637?\nAnswer: 8.03241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12824.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = h + 3*h. Let r = 7 - -5. Calculate the remainder when h is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*v + 32, -5*h + 34 + 15 = -4*v. Let j(l) = 2*l**2 + 11*l - 8. Let m be j(v). Which is bigger: -12\/13 or m?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 - 8*u + 3. Let k(r) = -17*r**2 + 22*r - 9. Let m(h) = 11*a(h) + 4*k(h). Let i(w) = -w**2 - 1. Give -9*i(c) + 4*m(c).\nAnswer: c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24281358 or -24281357?\nAnswer: -24281358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**10*z)\/(z\/(z*z\/z**16)*z) assuming z is positive.\nAnswer: z**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(2\/(-30))\/((-1)\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m*m**(-1\/2)*m)\/m)\/m)\/m*m\/(m**(-13)\/m)*((m*m*m\/(m*m\/(m*m\/(m\/(m**(-13)*m)*m)))*m)\/m)\/((m\/(m*m**(-2\/3)*m))\/m*m) assuming m is positive.\nAnswer: m**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -31. Let s = -7 - l. Let w be 2\/5 + (-178)\/(-5). Calculate the greatest common divisor of s and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-6))\/b*b*b**1*b)\/(b*b\/b**(2\/3))**(-35))\/((b\/b**(-2\/7))**(-47)\/(b**(-1\/5)\/(b*b*b**(1\/7)*b))) assuming b is positive.\nAnswer: b**(11839\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 6 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2437015090.\nAnswer: 2, 5, 31, 7861339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*f, 0 = 4*z + z - f - 685. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -t - 2*h, t + t - 3*h - 40 = 0. Suppose 2*v + 4*d - 7 = -t, -5*d = v + 2. Let a = 26 + v. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + j + 2 + j)*(-71*j**3 - 265*j**3 - 114*j**3) to the form l*j + d*j**3 + r + p*j**2 + w*j**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b + 174 = 2*n - 26*b, 15 = -5*b. Calculate the remainder when n is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14752 + -14743. Let k(o) = -20*o - 8. What is the remainder when k(-11) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 6. Let x be o(12). Suppose d - 3*d = 4*a + x, -d + 2*a + 5 = 0. Put d, 0.1, -2\/5 in descending order.\nAnswer: d, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14424 divided by -1544?\nAnswer: 1803\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/39 + (-48)\/26. Let f = -3 - y. Is 1\/5 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*m + 60, 2*m - 5*u = -14 - 1. Let i be 7499995\/m + 2\/(-6). Round i to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - sqrt(90)*2)\/(sqrt(40)\/sqrt(5)).\nAnswer: -5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1381333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170 - -169. Find the common denominator of -17\/14 and 3 + 1295\/(-154) - b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -768, -6924, -24222, -58422, -115284, -200568, -320034?\nAnswer: -479442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1001 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -27*k**2. Let f(d) = 3*d**2. Determine f(n(z)).\nAnswer: 2187*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10587 + 10578. Let a(q) = -q**2 - q + 1. Let k be a(0). Put p, k, -5, -1 in descending order.\nAnswer: k, -1, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + (25420\/210)\/(-31)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**5\/2 + 148*v**4 + 5472*v**3 - 1505088*v**2 - 102211200*v = 0 for v.\nAnswer: -156, -84, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 457 is divided by 145.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*b + 36, -w + 2*w - 3 = 3*b. Let r = w + 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28901b (base 15) to base 14\nAnswer: -38c223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 105*v**3 + 63*v**3 + 5*v**2 + 111*v**3 - 76*v**3.\nAnswer: 203*v**3 + 5*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (194\/(-3492))\/(8\/762) and -43\/138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 181265 and 10045.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 216*m + 221*m - 11 = 0, -4 = -4*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82076 is divided by 360?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.8 + -29. Let n = 0.11 + 0.062. Let r = n + f. What is r rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**4\/12 + 7*f**3\/3 - 3*f**2\/2 - 686*f. Let d(o) = o - 1. Give 3*d(i) - s(i).\nAnswer: i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 65.9 - -36\nAnswer: 101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 13 - 14 = 0. Let a(x) = -85*x + 27. What are the prime factors of a(r)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**8\/504 - o**7\/63 + o**6\/20 - 7*o**5\/90 + o**4\/18 - 7*o**2. Determine j so that d(j) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 d when two letters picked without replacement from {r: 2, a: 1, d: 4, n: 1, y: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -2, -8.\nAnswer: -17, -8, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -3 + (-13 + -13 - -37)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -48\/25 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60196662 divided by -6.\nAnswer: 10032777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -368 - -204. Let j = -124 - l. What is the lowest common multiple of j\/14*126\/36 and 55?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.81664 to three dps.\nAnswer: -0.817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*k - 14*k. Let y be ((-5)\/2)\/(2\/k). Find the second derivative of 4*f - 20*f**2 - y*f**4 - 17*f**2 + 37*f**2 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (10 + -16 + 12 - (1 + -4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -477, -562, -661, -780, -925, -1102?\n\"Answer: -m**3 - m**2 - 75*m - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 970320 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 23. Suppose 1 - 10 = y*l. Let b(x) = -33*x + 165. Let r be b(5). Sort l, 2, 3, r in descending order.\nAnswer: 3, 2, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 + 2*y + 2. Let t be z(-3). Let r = t - 14. Solve 0 = -5*s + 5*n, -3*n + n + 4 = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/2 + (2 - -3). Solve 2*v = b*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjll when four letters picked without replacement from jljl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 27) + (31 - 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36400 is divided by 569?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -46*h**3 - h + 1. Let y be s(1). Let v = 77 - y. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1033.8 - -1037. Let f = 84.1 + -84. What is the second biggest value in f, -0.1, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 21. Suppose -3*w = 3*k - 33 + c, 2*k = 5*w - 14. Suppose -3*i - w*h + 103 = 0, -h = -2*i + 2*h + 80. What is the least common multiple of 1 and i?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/4)\/(25067\/(-257832)))\/(22\/(-14)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 4, w: 2}. What is prob of sequence bwb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 j when three letters picked without replacement from {w: 2, p: 1, l: 2, j: 2, x: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*sqrt(1216))**2 + (sqrt(1216) - -4*sqrt(1216)*1) - (-5 + ((sqrt(1216) + sqrt(1216)*-2 + sqrt(1216))**2 - sqrt(1216)) + 1 + -3).\nAnswer: 48*sqrt(19) + 10951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282647 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(sqrt(30)\/(sqrt(6) - (sqrt(60)\/sqrt(10) + sqrt(6))))**2 + -4 + sqrt(80) + (sqrt(5) - (sqrt(5) + -2 - sqrt(5))) + -3.\nAnswer: 5*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 4*b + 7 = 8*w, b = -4*w + 2. Let j be (261\/(-54) - -5) + w\/14. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1149544*f*g**2*i + 2*f*i + 106*f - 2332*g**2 + g*i wrt i.\nAnswer: 1149544*f*g**2 + 2*f + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/327832 and 15\/32?\nAnswer: 1311328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0 + 0*b**4 + b**2 - 1\/6*b**3 + 0*b + 1\/15*b**5. Find the first derivative of g(m) wrt m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133233552 (base 6) to base 9\nAnswer: 5033755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 779, 1036, 1727, 3068, 5275, 8564, 13151?\n\"Answer: 36*s**3 + s**2 + 2*s + 740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 + (-2 - (-10 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18877, 19062, 19247, 19432, 19617, 19802?\n\"Answer: 185*t + 18692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = 5*g - g, g - 2*c = -7. Suppose -2*i - 2*i - 4*m = -16, g = -m. Suppose -4 = -2*p + 2. Calculate the remainder when i is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*i**3 - 3 + 66*i**3 - 8*i - 141*i**3 as m*i + x*i**2 + g + n*i**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 18 = 2*j. Let o be 1*(-1 + 2)*j. Suppose 5*z + 4*a + o = 0, z - 5*a + 3 = 2*z. Which is bigger: -2\/3 or z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163082 is divided by 908?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 84*j)*(-5*j + 2*j + j)*(j + 0*j + 0*j) to m*j**3 + u + l*j**2 + r*j and give m.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*t - 114265*w + 114273*w, -2*t + 2*w + 0*w + 18 = -4*w for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b + 1. Calculate the remainder when r(-18) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 2108?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 14*d - 42. Let r be f(-5). Solve i = -r*i - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -16, 31, 3, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 120372168 plus 65?\nAnswer: 120372233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25837554 divided by -12918777\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let u(t) = -61283*t + 127. Calculate n(u(m)).\nAnswer: 61283*m - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = n - 31. Let q = 3 - 6. Let s be 2\/6*(-2 + 4). Which is the nearest to q? (a) n (b) 0 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-10)\/(-75)*(-165)\/22?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -51, -2, 5, 0 in increasing order.\nAnswer: -51, -6, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p - 30. Let v(q) = 184*q + 64. Give l(v(f)).\nAnswer: -368*f - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/5, -243, -55, -0.14, 0?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2*3\/(-663))\/(7*20\/(-1820))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 786 - 804 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 2*v**2 + 18 + 4)*(1 + 2*v - 1).\nAnswer: 4*v**3 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9)**(1\/64)\/(o\/(o\/o**5))**(-4) assuming o is positive.\nAnswer: o**(1289\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:14 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmom when four letters picked without replacement from {f: 4, k: 3, m: 6, z: 2, w: 1, o: 2}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15459 is divided by 736.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001412588 rounded to 6 dps?\nAnswer: -0.001413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2379 = 2*s + 3*k, -s + 787 = 5*k. What is the units digit of ((-20)\/3)\/((-16)\/s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3733 + -3731. Suppose -i + 1 = 3. What is the second smallest value in i, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6)\/g*g*g*g\/g**(1\/5)*g*g*g)\/(g*g*g*g**(-2\/5))**(-47)*(g**(-5)*g**(1\/10)*g)\/(g**(1\/2))**(-44) assuming g is positive.\nAnswer: g**(2179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3169?\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 43*w = 0. Let z(n) be the third derivative of 0*n**4 - 3*n**2 + w - 1\/60*n**5 + 0*n + 0*n**3. Let r(a) = a. Calculate z(r(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 4*s. Let p(n) = n - 7. Let m be p(7). Calculate the smallest common multiple of 0 + m + (-2 - -22) and f(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6 + 133 - 127 + 14*d. Let a(l) = -l**2 - 2*l + 1. Let u be a(-2). Determine b(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7808 and 23083132?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -182.016 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 i, and 1 n when four letters picked without replacement from {n: 5, i: 2, f: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -7*n + 3*n - 4, 3*n - 10 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19805991883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15999 = k, 2*v - 838*k = -843*k + 10666. List the prime factors of v.\nAnswer: 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:12 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369042?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598363, 598354, 598345?\nAnswer: 598336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, h: 5}. Give prob of sequence hyhh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -125, -0.4, 0.1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 22589.9822?\nAnswer: 22589.6822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*t**3 + 99*t**3 - 44*t**3 + t**3 + 0*t**3 - 3*t**3 + (4 - 4 + 2*t**2)*(0 + 2*t + 0))*(-1 + 1 - 2*t).\nAnswer: -272*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5879*r - 798 + 798.\nAnswer: -5879*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -2*r**5\/5 - 33*r**4\/2 - 270*r**3 - 2187*r**2 - 8748*r + 41. Factor g(q).\nAnswer: -2*(q + 6)*(q + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o - 3. Let b = 8 - 5. Let a be c(b). Suppose -5*x - 8 + 63 = a. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 13\/3, 5, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -152*f - 12469. Calculate x(-82).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 816*g + 30154. Calculate b(-40).\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-287)\/112*4)\/(2\/(-8)). Suppose 8*b = 79 + g. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/2475 + (-1581)\/(-75).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86666.571 to the nearest 10.\nAnswer: -86670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26484329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 7:50 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 3. Let f(i) = i**3 + 3*i**2 - 2*i - 4. Let d be f(-3). Calculate y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -5*l - 82, -1000*l + 4*x - 21 = -999*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*w, 4*j - w = -56 + 41. What is the closest to 2\/33 in j, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1 - -2)*0)\/2. Let a(u) = u + 8 - 6 + m*u. What is a(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1188 + -86. What are the prime factors of r?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 262?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 409793143 by -1.\nAnswer: -409793143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 459*j - 1657 + 10378 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 15, 4*m = n + 2*m + 10. What is the third smallest value in n, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61\/2 of a gram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(36) - ((sqrt(144) - sqrt(144)*2)\/sqrt(4) + sqrt(36))) + sqrt(36))\/(-3*2*sqrt(12)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18*i**2 + 3*i + 2. Let u be c(-1). Let x = u - -27. Calculate the remainder when (-7)\/(-35) - 378\/(-10) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189115?\nAnswer: 5, 109, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448251198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-360)*18*(-12)\/36)\/(6\/(-45)). Let r = -0.2 + 0.7. Which is the smallest value? (a) 2\/23 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118637 + -81205. What is the ten thousands digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112c9111 - 2?\nAnswer: 112c910c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = z + 4*p, 0*p + 4*p = -5*z - 35. Let v be 2\/(-7) + 0 + 0. Which is greater: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b, -144*s + 139*s + 104053 = 4*b. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**6\/(m*m**3)*(m**6*m)\/m**(-11) assuming m is positive.\nAnswer: m**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -430 (base 11) to base 5\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -666 = -4*i - 3*u + 2954, 2*u + 2698 = 3*i. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g\/g**(3\/4)*g)\/g))\/(g*g*g**(-4\/9)*g))**(-21\/4))**(12\/13) assuming g is positive.\nAnswer: g**(35\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4120200 rounded to the nearest 10000?\nAnswer: 4120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*g - g = -0*g - 86, 68*r = 65*r + g + 104 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c + 262. Let j be t(22). Find the second derivative of -q - j*q**3 + 3*q - 2*q**4 + 93*q**3 + 6 wrt q.\nAnswer: -24*q**2 + 42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16335 times 0.098\nAnswer: -1600.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -2*s, 14*s = 9*s + 5*o + 45. Let v(u) = 115601*u**3 - 5*u**2 + 2*u - 10. Let d be v(s). Round d to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -721, -2520, -6027, -11812, -20445, -32496, -48535?\nAnswer: -69132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -21) + 0 + (5 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 + 11205*d**2 - 101210*d + 90000 = 0.\nAnswer: -2250, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 5:41 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 7:05 PM?\nAnswer: 290","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**3\/6 + 13*k**2\/2 + 152*k. What is s(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t - 5*a + 1270, -4*a = 0. List the prime factors of t.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.02? (a) 0 (b) 1\/9 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 5 - 20. Let a be 376\/16 + (0 - 9\/(-6)). What is the highest common divisor of a and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 4, g: 3, i: 1, a: 1}. What is prob of picking 1 a and 1 i?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483 plus -12.2?\nAnswer: -1495.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3206550, 3206553, 3206556, 3206559, 3206562, 3206565?\n\"Answer: 3*i + 3206547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/2)\/(-5))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*l + 7*l + 259 + 99 - 3*l - 100 to j*l + m and give m.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 2*x**2 + 7*x + 4. Let i(d) = 290 - 292 - d**2 - 4*d + 2*d**3 - 2*d**2 + 4*d**2. Give 4*h(a) + 7*i(a).\nAnswer: 2*a**3 - a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -866\/5 - -174. Suppose -g + d - 1604 = 3*g, 3*g + 1198 = 2*d. Let m = 7636\/19 + g. What is the third biggest value in m, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17)\/136*20*(1 - 20783) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-422)\/8 + 3)*-4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.0827 (b) 0 (c) -34\/9 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86870 and 17136?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12*r + 5. Suppose 10305*c = 10334*c. Calculate s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1136290.389751 - -61\nAnswer: -1136229.389751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 12, y: 7}.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0 - 93\/2*t**2 + 78*t + 0*t**3 - 1\/42*t**7 + 23\/10*t**6 + 0*t**5 + 1\/12*t**4. What is the third derivative of s(f) wrt f?\nAnswer: -60*f**2 + 1656*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3237*m + 12 = 3239*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*y + 10 = 61*y. Let n = 1 - y. Suppose -70 = -n*v + 80. Solve 2*c = u - 4*u + v, 5*u - 50 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 66, 131, 228, 363, 542?\nAnswer: 771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000902909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/5*x**4 - 2\/5*x**5 + 0 + 54\/5*x**2 - 10*x**3 - 4*x = 0.\nAnswer: 0, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 102\/7 (b) 115\/2 (c) -2\/5 (d) -3 (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**2 - 4*p + 2. Let x(c) = -2*c + 3*c - 4*c**2 + 5*c**2. Suppose -2*r + 5 = 3*r. Let j = r + 3. Give j*x(v) + g(v).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10651 + 10653. Let x = -0.4 + 0.4. What is the biggest value in l, x, -2, -10\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 45, 73, 101, 129, 157?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/15)\/(60\/400).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 6*c + 4. Let m be u(6). Solve -2*w + m = -0*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/7)*x)\/(x\/x**(-2)))\/(x**2)**(1\/48)*((x*x**0)\/x)**3*x**(-5)\/(x*x*((x*x*x**4*x)\/x)\/x*x) assuming x is positive.\nAnswer: x**(-2287\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 41*o**3 + 15*o**3 - 3*o**4 + o + 26*o**3 to z*o**3 + h*o + n*o**2 + d*o**4 + l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 258*w**3 - 155*w**3 + 2*w**2 + 164*w**3 + 5*w as q*w**3 + n*w + i + l*w**2 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -13 - 9 - (-11 - -1) - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:26 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1129441 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8832, -8841, -8862, -8901, -8964?\n\"Answer: -x**3 - 2*x - 8829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*b + 20. Does 30 divide (5 + -3)\/(b\/165)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3616729, -3616750, -3616771, -3616792?\n\"Answer: -21*k - 3616708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87866*a**5 - 56220*a**2?\nAnswer: 5271960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011374 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let t(v) = -5*v. Let a(w) = q(w) - t(w). Let d(h) = 5*h. Calculate a(d(g)).\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a - 23*a = -28. Solve 0 = -a*j + 106 - 104 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4558291\/4 + -24473474447\/21476. Let n = j + 3\/413. Which is the closest to n? (a) 2 (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 16, 19 in descending order.\nAnswer: 19, 16, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/3 - 9004*y**4\/15 - 2518*y**3\/3 - 3596*y**2\/15 = 0.\nAnswer: -899, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -14 + (16 - 14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23436 + 23446. Put p, -3, 5, -41 in decreasing order.\nAnswer: p, 5, -3, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1578 divided by -14.\nAnswer: -789\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, 9, -78, 2, -32 in decreasing order.\nAnswer: 9, 2, 1, -6, -32, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1140)\/150)\/(3\/(-2460) - 0)?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*356\/2. Let i(q) = -q**3 - 68*q**2 + 57*q - 365. Let n be i(-69). Let y = n - s. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 14. Let o be j(-11). What is the remainder when 16 is divided by 3*(-1 - (-3 + o\/9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5375.89mg in kilograms?\nAnswer: 0.00537589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -23*h + 5. Determine t(-3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101590 rounded to the nearest one thousand?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-15)\/k)\/(k*(k**12*k)\/k*k)*(k**(5\/6)*k)\/((k*k**(-4))\/k) assuming k is positive.\nAnswer: k**(-145\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462155?\nAnswer: 5, 492431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**7\/70 + 11*k**3\/6 - 9*k**2\/2 + 13*k. Let x(v) be the first derivative of r(v). What is the derivative of x(o) wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l + 5. Let i(s) = 8*s - 7. Let c(t) = 7*b(t) + 5*i(t). Let h(a) be the second derivative of 39*a + 1\/3*a**3 + 0 + 0*a**2. What is c(h(y))?\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3278769 is divided by 1699.\nAnswer: 1398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 12106806119.\nAnswer: 12106806118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/20 - (-179)\/(-5). Let t = i + 64. Suppose c - t = -c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-5))\/1)\/((-20)\/(-8)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-323 - 588 - 118)*(4*d**2 - 2*d**2 - 4*d**2).\nAnswer: 2058*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3665993 litres?\nAnswer: 366.5993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -55\/41 + 521\/205. What is the closest to 1\/5 in -6, b, -7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*o**3*w*z**2 + 1759*o**3*w - o*w*z - 549*o*z**2 with respect to z.\nAnswer: 12*o**3*w*z - o*w - 1098*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/4, 0.1, 5\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-10)*(-39)\/52.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.7 * 3.2.\nAnswer: -56.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26052 + 22*v**2 + 11*v**2 + 282*v + 26053 wrt v?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5331446 (base 9) to base 4.\nAnswer: -22321003122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*3\/135)\/((-19)\/((-190)\/8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 4*k + 4. Let g be q(-4). Suppose 0*c = -2*c - g. Let r be 7\/c*(-48)\/28. Solve -2*o - 16 = -r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 8*n + 0*n**2 - 1\/3*n**3 + 0. Let u(v) = -5*v + 3. Let i(p) = -16*p + 10. Let r(j) = -3*i(j) + 10*u(j). Determine r(o(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533779, -533798, -533781, -533710, -533567, -533334?\nAnswer: -532993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouqudjududd. Give prob of picking 1 q and 1 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 2603*f**8\/28 - f**6\/15 + 233*f**4\/12 + 21*f**2\/2 - f - 5017. Find the third derivative of k(y) wrt y.\nAnswer: 624720*y**3 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 1298*s - 484411. Give u(265).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n + 24. Let u be a(4). Let d be 12\/(-9)*6\/u. Solve -8 = 2*p - 4*p + 5*f, -d*p = -f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/6 - 55877*s\/2 + 1508193 = 0. What is s?\nAnswer: 54, 167577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 266, 713, 1338, 2141, 3122?\nAnswer: 4281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z - 2. Let d = 31 - 53. Let o = d + 18. Calculate c(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 + 1 = 0, 7 = 4*w + y. Let i = -0.2 + 0.11. Let x = i - 3.91. Which is the nearest to 0? (a) w (b) -2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 937*r**4\/24 - 163*r**2. Let j(o) = 2*o**2. Determine y(j(l)).\nAnswer: 1874*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 69*y**2 + 70*y + 22. What is a(70)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 2*g - 1. Let f be r(2). Let j = -4.7 + -1.1. Let s = j - -6. What is the biggest value in f, 2, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2980 - 3109. Which is the smallest value? (a) 3 (b) n (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovci when four letters picked without replacement from rcrivrcrocv.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*i = 4*c + 71, -5 = -i. Calculate the remainder when c is divided by 24 + 0\/((-7)\/((-7)\/(-2))).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1425*i - 825 wrt i?\nAnswer: 1425","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 78*l - 10327. Determine z(148).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/15020099 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2\/17 + 16*j\/17 + 130\/17 = 0?\nAnswer: -5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1675, -1320, -953, -568, -159, 280, 755?\n\"Answer: i**3 + 348*i - 2024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1235\/9 - -137. Which is the closest to 5? (a) -0.5 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by 4.\nAnswer: 117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*n + t, -4 - 4 = 5*n - 2*t. Suppose 9 = 3*v - n*v. Let l = -7759 - -7763. Solve l*i = 5*i - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5*r + r**3 - 5\/2*r**2 - 1. Let f(s) = 4*s**2 - 6*s + 6. Give 5*f(c) - 6*v(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 7 + 6)*(-23 - 42 + 16)*(2*b + 0*b - 4*b) to the form f*b + p and give f.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {w: 8, b: 2, u: 4, t: 3}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27442 - -27603. Calculate the remainder when n is divided by 114.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2. Let x(a) = 204*a**2. Determine x(n(g)).\nAnswer: 3264*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -226, -0.8, 2\/13, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(117))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0*u**4 - 1\/3*u**3 + 1\/280*u**7 + 0 + 0*u**5 + 0*u - u**2 + 1\/60*u**6. Let h(d) be the first derivative of b(d). Factor h(q).\nAnswer: 3*q**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29208948 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99374433 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*m + 14. Suppose f - m = 0, 5*d + 4*f - 106 = 239. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20762*b + 3*b**2 - 20766*b + 5 + 4*b**4 - 2 + 2*b**3 to the form r + g*b**3 + q*b**4 + t*b**2 + o*b and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**2 - 2*h**2 - 2*h**2 + h**2 - 4*h**2 + 2*h**2 + (3*h - 7*h + 2*h)*(-h + h + 2*h) + (-19 + 7 + 7)*(-1 + 1 + 2*h**2).\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:03 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1565 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 252\/41, -0.4, -2\/25 in ascending order.\nAnswer: -0.4, -2\/25, 2, 252\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -3673.\nAnswer: 734.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 7.8. Let h be (-12)\/3 - (-200)\/44. Which is the biggest value? (a) h (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752842913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (-27)\/(-18)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 90495, 180988, 271483, 361980, 452479, 542980, 633483?\n\"Answer: t**2 + 90490*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -133550 (base 7) to base 15\nAnswer: -777e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 23 = -17*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2264*q**3 + 3*q**2 - 8376*q wrt q.\nAnswer: 13584*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*o = 13, 0 = 4*l + 4*o + 8 + 4. Let p be 3*-1*l\/(-3). What is the units digit of (-12)\/(-8) + p\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 8*x + 4. Suppose 4*t + 32 = 5*g, -15 = -3*g - t + 11. Let l be q(g). Suppose -v = -2*v + l. Solve o - 3*o = v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from qzzzzzzzzzqzqz.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -0.1, 3.5, -2\/5, -0.24?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i = -9 - 22 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -72, -107, -152, -213, -296, -407, -552?\n\"Answer: -t**3 + 4*t**2 - 36*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = -c + 6*p - 19, -2214*p = -3*c - 2210*p - 85 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -5*j. Let u(q) = -50170453*q**2. What is u(x(o))?\nAnswer: -1254261325*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114204 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1*sqrt(1836)*-2*-3)\/(-2*-5*-1*sqrt(108)))**2.\nAnswer: 1377\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10790 - 10789. Put -22, -5, 11, f in decreasing order.\nAnswer: 11, f, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 33 + 57 = 0. Let i = p - -45. Let m = i + -58. Solve -m*r = -n - 24, n - 2*r = -1 - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 268*n + 2*n**2 - 540*n + 3*n**2 + 273*n - 35*n**3 to h*n**2 + s + l*n**3 + b*n and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 - -229 - (-1 - -14).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 54*y**2 + 3 - 64*y**2 - 3 + (-91*y**2 - 91*y**2 + 151*y**2)*(-1 + 1 + 1).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 3527808?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3233e (base 16) to base 13.\nAnswer: 72799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61 - 18b77?\nAnswer: -18b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 - -452. Suppose -35*q - 59 + k = 0. Solve -2*u - 1 = q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/10656 and 107\/24.\nAnswer: 10656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggbbgg. What is prob of sequence gbgg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -414632*z**4 + 128627*z**2 + 2 wrt z?\nAnswer: -9951168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 3, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1510\/3 - -4532\/9. Suppose 5*b - 4*b - 3 = 0. Factor -4\/9*r + 2\/9*r**4 + 4\/9*r**b - q*r**2 + 0.\nAnswer: 2*r*(r - 1)*(r + 1)*(r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/966, 223, 3?\nAnswer: -13\/966","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/5 - 9684*t**4\/5 + 7795599*t**3\/5 + 31288998*t**2\/5 + 39152448*t\/5 + 15668736\/5 = 0 for t.\nAnswer: -2, -1, 1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -5*j**3\/3 - j**2\/2 + j + 7. Let h(m) = 4*m**2 + m. What is -3*h(w) - 2*n(w)?\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -105189, -104872, -104335, -103572, -102577, -101344, -99867, -98140?\n\"Answer: r**3 + 104*r**2 - 2*r - 105292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) -1272 (c) 2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3 - 5\/3*u**2 + u = 0. Calculate u.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.36 - -0.66. Which is the biggest value? (a) -0.06 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-1 - 30\/(-36))*-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-105)\/(-5))\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 20145.\nAnswer: -2\/20145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10585435 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 h when three letters picked without replacement from aaossyahssosolshsy.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -81*t + 671. What is the closest to t in -5, -15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 1876?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u + u + 2*u + 1 - 3. Calculate s(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 1\/2*u**2 + 0*u - 5. Let p(m) = 7*m. Calculate p(h(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*9\/(405\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -278*c - 373. What is the tens digit of s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -352655, -705381, -1058175, -1411037, -1763967, -2116965?\n\"Answer: -34*p**2 - 352624*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*q + 10 - 8, q + 10 = 4*p. Let u be (-3)\/(-4) + p\/((-24)\/(-10)). Sort -4, u, -31 in descending order.\nAnswer: u, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*h + 6*q + 28, -h + 12 = -4*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/19)*(g**7\/g*g)\/g)\/(g\/(g*g\/(g**(-6)\/g))*g*g**(1\/10)))\/((g**(1\/6)\/g*g*g\/(g**(-1\/8)\/g))\/((g\/g**(2\/21))\/g*g**(-2\/3))) assuming g is positive.\nAnswer: g**(52943\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9.703, -5\/9, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 186, -1\/3, 5, 29?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 6*i - 6. Let z be g(4). Suppose q + z = 3*q. Let f = 125\/3 - q. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -1 + -1 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*i - m, 3*i + 13 = 5*i - 5*m. Suppose 0*l + 5*l + i = -n, -3*l - 8 = n. Which is smaller: -20\/13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-nine fifths of a millisecond?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (255\/(-25))\/(3\/(-45))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, -2, 23, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 0, -41*c - 75 = -3*p - 39*c. Solve p = 3*y + 5*l, -4 = -l - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 3*k = -10*w - 6, 0 = w + 4*k + 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tat. What is prob of sequence aa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*c**2*k*p*t**3 + 114*c**2*p**3*t + c*k*p**3*t**3 + 2*k*p**3*t + k*p**3 - 9*p**3*t + 2*p**2*t**3 - 2*t**3 wrt c.\nAnswer: 76*k*p*t**3 + 228*p**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 6981088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -478*k**2 - 476*k**2 - 481*k**2 + 1437*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47271880 less than -414.81?\nAnswer: -47272294.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/11 + 1242772*f\/11 + 193060280498\/11.\nAnswer: 2*(f + 310693)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*12\/(-12) + 2. What is the closest to 0.2 in w, -5, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1)*(-y + 8*y - 3*y) - 250*y - 7*y - 38*y.\nAnswer: -299*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -679.2? (a) 0.1 (b) 0.1983 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 30. Let b = 2.5 - -0.5. Let u = b - -1. What is the closest to 0.1 in h, u, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 299949568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.93956341 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 253?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w + 4*w + 3*w - 7*w. Let j(z) = 4*z**2 - 24*z. Let m(u) = -u**2 + 4*u. Let k(y) = -j(y) - 6*m(y). What is k(v(l))?\nAnswer: 162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxwre. Give prob of picking 1 u and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 6*s**5\/5 - 4*s**4 + 8*s**3\/3 + 4. Factor q(i).\nAnswer: 2*i**2*(i - 2)*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -861 + 861.04. What is the nearest to -2\/7 in m, -8, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w = 15. Suppose 2*a + 4 = w*a. Suppose 3*j - 1 = -9*r + a*r, 5*r = -2*j + 4. Which is bigger: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -452 + 454. Let p(c) be the second derivative of 0*c**3 + d*c**2 + 7*c + 0 + 7\/12*c**4. Differentiate p(i) with respect to i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.45 - 0.05. Let z be 4\/(-28) + 11\/28. Which is the nearest to 0? (a) i (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -269.133 - -269. Let u = 0.133 + m. Let q = -1 + 1.1. Which is bigger: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rccrqrrrcrrcsrcrr. What is prob of sequence srq?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5852 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*b**2\/2 + 20501211*b\/2 + 1863747 = 0. What is b?\nAnswer: -2\/11, 621249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2064 + -1188. Suppose -2*y - 11441 = -b - c, 3*y = 3*b - 31680. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + 30. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.99915l in millilitres?\nAnswer: 28999.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*d**3 - 61\/2*d**2 - 15\/2*d.\nAnswer: -d*(d + 15)*(4*d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2498 + 3008. What is the greatest common factor of 48 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:07 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27130609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4, 18, 32?\n\"Answer: 14*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6098 + -3265. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**3 + 3*k**2 + 3*k + 1. Suppose -3 = -s - 0. Let f(h) = -11*h**3 + 5*h**2 + 5*h + 3. Let d(x) = s*f(x) - 5*a(x). Differentiate d(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -46. Suppose -i*w + 33 = -2. Let y = 0.01 + -0.07. Which is the second smallest value? (a) y (b) 2\/17 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 5*a - 25, -d + 174 - 167 = -2*a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10478d (base 15) in base 10?\nAnswer: 774583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0182 - 1.9818. Let s be (14\/4 - (-26 + 27))*-2. Let l = 1.1 - 1. Which is the closest to p? (a) 2 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 144*x - 139*x + 20, 2*j = -4*x - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m + 1\/3*m**3 + 100*m**2 - 1\/6*m**4 + 0. Let f(k) = 9*k - 3. Calculate 5*b(v) + 2*f(v).\nAnswer: -2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*l - 4*r, 0 = -2*l + l - r - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -476 = -16*t + 164. Let u(v) = 20*v**2 - v. What is the remainder when t is divided by u(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210 - 217 + 73*m**2 - 221 + 648.\nAnswer: 73*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 25482 = 30166. What is the greatest common factor of 112 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 2*c - 2*c**2 + 2*c)*(-3*c + 6*c + 0*c) + 6 + 11*c**3 - 6.\nAnswer: 5*c**3 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 7*h**3\/3 + 2*h**2 + 2*h - 4. Let q(l) = -l**3 + 2*l**2 + l + 4. Let v be q(3). What is the units digit of o(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 9 = -3*d, 2*d + 1 = 9. Suppose 0 = -3*z - l*u + 18, 0 = -3*z - 3*u + 2*u + 8. Let k(y) = -y + 1. Let w(q) = 2*q - 6. Give z*w(x) + 4*k(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 857822, 1716561, 2575300, 3434039?\nAnswer: 4292778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**2 + 23*y**2 + 48*y**2.\nAnswer: 97*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3437 - -3440. Let q(n) = -2*n - 3. Let y be q(-4). Suppose 0 = -2*g + 1 - y. What is the closest to 0.07 in 0, w, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -12*h**5 - 512692*h**4 + 1880240*h**3 + 8886720*h**2 - 30080768*h - 10938368 = 0.\nAnswer: -42728, -4, -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1136 and 55408?\nAnswer: 3933968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/19 and 25\/288272?\nAnswer: 5477168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -1135381592449.2?\nAnswer: 1135381592453.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-70)*5)\/(7\/((-70)\/(-25))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2*t - 2*t)*(-3*t + 2*t + 3*t)*(-2984 - 185*t + 2984).\nAnswer: -740*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 46*z - 3*z. Solve -o + 6 - 5 = z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**6\/360 + 2*i**3\/3 - 2. Let u(n) be the third derivative of c(n). Let z(a) = 1177*a - 638*a - 587*a. Give z(u(k)).\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 w, and 1 v when three letters picked without replacement from alwvlppuuuap?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.66 - 0.06. Let v = 1.8 - k. Which is the biggest value? (a) 0 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g - 4161. Let w be 1\/(-1)*-1*7. Let s = w - 9. Let v(z) = 3*z. Determine s*h(i) + v(i).\nAnswer: 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:02 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 796752391 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x**4 + 2*x**4 + 2*x**4)*(-13 + 23 - 24) - x**4 - 3*x**4 + 9*x**4 to t*x**3 + z + w*x**2 + m*x + j*x**4 and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 6. Suppose -h = -3*a - 2761, -4*a + 842 = -t*h + 4505. Let g = 1595 + a. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 27*d**5\/5 - 139*d + 142. Differentiate k(x) with respect to x.\nAnswer: 108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, h: 3, f: 5, d: 1}. Give prob of sequence ffh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrmr. Give prob of sequence rr.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/1)\/(-2 - -3). Suppose 0 = 3*x + 2*x - s. Solve 3*d = 4*p + 21, 5*d - 3*p - 29 = -x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**2 + 1016062*f + 2032132 = 0.\nAnswer: -2, 508033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -43 - 90 - -238?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332288778.\nAnswer: 2, 3, 43, 47, 67, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -345 (base 12) in base 15?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368 = -74*k + 131*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1248?\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*f + 8197 = -35*f - 3084 - 1015 for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6650448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y**2 - 3*y - 2. Let j(a) = 12*a**2 + 2*a + 1. Let t(p) = 3*j(p) + 2*o(p). Let u(c) = -3*c. Give u(t(d)).\nAnswer: -36*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -118*f**2 + 197*f + 85. Give y(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 58*p + 110. What is a(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60592012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.1 + 17. Let k be (-3)\/(-12) - (-22)\/(-56). Which is the nearest to l? (a) 1 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 739 = -5683. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = 2*m, 0*m = -3*c + 3*m - 24. Let p(n) = 15*n - 4041*n**3 + 2018*n**3 - 12*n + 2032*n**3. Let i(h) = -10*h**3 - 4*h. Calculate c*p(a) - 3*i(a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + x)*(8*x**2 - 28*x + 28*x) + 2*x**3 - 5*x**3 + x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 10 = 4*x, 2*y - 5*x = 7*y - 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -579c8 (base 14) to base 16.\nAnswer: -340ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2668 - -1359. Let x = o + 898. What are the prime factors of x\/(-12) - 6\/(-8)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.4147 rounded to 1 dp?\nAnswer: 47.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/8 of a microgram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 5*v**2 + 8*v - 5. List the prime factors of q(-24).\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3437*i = 1975*i + 87720 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 0)*(0*k**2 + 4*k**2 - 2*k**2) as p*k + h + z*k**2 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 13*q + 14. What is r(11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-5)\/(-80)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 6*z + 10. Let c(q) = 2*q + 3. Let s(f) = -10*c(f) + 3*l(f). Let v(i) = -i. Give v(s(d)).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*f + 5 + 110, a - 101 = 3*f. What is the remainder when a is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -i + 11. Suppose 0 = 6*c - i*c - 4*j - 7, -c - 3*j + 11 = 0. Put 2, 0, c in increasing order.\nAnswer: 0, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + (25 - -77 - 68).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 77*d + 4. Let k(h) = -79*h - 2. Determine 3*k(m) + 2*t(m).\nAnswer: -83*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*s**5 + 12*s**4 - 12*s**2 + 8*s**5 + 8*s**5 - 326 + 326 - 4*s**3 + 8*s = 0. Calculate s.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -22. Suppose i*r = -0*r + 2. What is the tens digit of 185\/10*(r + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69371501, -138743001, -208114501?\nAnswer: -277486001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, f: 14}. Give prob of picking 2 m.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49, -185, -523, -1165, -2213, -3769?\n\"Answer: -17*b**3 + b**2 - 20*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5+7040309689\nAnswer: 7040309684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6446825 and 20825.\nAnswer: 2975","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5217*v. Let d be h(1). Suppose 0 = -5*w + 3*g + g + d, -2*w + 2076 = 2*g. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-372)\/52 - (-2)\/(-39)*-3. Let r(c) = -c**3 - 7*c**2 + c + 10. Let o be r(v). Solve 0 = 4*f - o*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.61 + -17.49. Let s = a - -19. Let t be 62\/(-620) - 58\/(-180). What is the nearest to s in t, 3\/7, 2\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 737 + -733. Put -2\/9, 2\/3, h in decreasing order.\nAnswer: h, 2\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2246, -4502, -6772, -9062, -11378, -13726?\nAnswer: -16112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.347 meters to nanometers.\nAnswer: 8347000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 26. Let l be v(7). Suppose -2*o - 501 = -l*o. What are the prime factors of o?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 c, and 1 p when four letters picked without replacement from {s: 1, r: 3, c: 2, p: 10, w: 1}?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -1, 4, 1611?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -404*m**2 + 313*m**2 - 446*m**2 - 141*m**2 in the form j + u*m + q*m**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - 39 - -86 - 197?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) 2.72 (c) 2\/165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.092 + -1.948. Let f = 0.24 - 0.2. Let k = f + p. Is k greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 350*i + 95 = 354*i, 0 = -f - 2*i + 85. Which is the nearest to -1.1? (a) -5 (b) f (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 5*x**2 - 14770*x - 14775 = 0.\nAnswer: -1, 2955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3639531 times 0.5?\nAnswer: 1819765.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1000108, 9, 0.2?\nAnswer: -1000108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8263, -8261, -8259, -8257, -8255?\nAnswer: -8253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5193933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0528 - -0.04428. Round y to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -447, -896, -1345, -1794, -2243?\nAnswer: -2692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 183. Suppose 4*c - 66 = -5*v + p, 5*c = -4*v + 124. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 885 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1548*t = 1552*t - 2*i, -5*i = -t - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11624976 is divided by 683822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -28. Calculate the smallest common multiple of n and 261.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8*g = -4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -185, -101, 15, 163, 343?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9.8, -6\/31, -3, -0.3, -10\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 13*x = 12*x + 11340, -3*x = -3*s + 6786. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*y - 800 = 67*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 48.7 and -2\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2248679 (base 10) to base 8\nAnswer: -10447747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = y + 60000 - 20747, -98128 = -5*h + y. Calculate the highest common divisor of h and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (0 - -115) - (-3 + (-85 + 49 - -40)).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/9)*x**(1\/4)\/x*x)\/((x**3*x)\/x*x**7))\/((x**(2\/9))**(-16)*(x\/(x*(x\/(x**(2\/7)\/x))\/x)*x)**(13\/3)) assuming x is positive.\nAnswer: x**(-1817\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqnnnnnnnnqnnqqnnn. Give prob of picking 2 q.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -582 (c) -1 (d) 2\/17 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -109422*q + 109482*q - 17220. Suppose 0 = 2*p - 7 - 21. What is the greatest common factor of p and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let m(f) = 4. Let j(h) = m(h) - r(h). Let v(u) be the first derivative of u - 5. Calculate -j(n) + 6*v(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 5*l = -3*g + 1, -5*l + 2 = -4*g. Let f be g - 100\/(-12) - (-3)\/(-9). Suppose 0 = -3*o - 3*b - 6 + 99, 48 = 2*o - f*b. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -2f?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -4*f + 5, -2*y - f - 11 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -326, -4 in decreasing order.\nAnswer: -1, -4, -326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/60*(-180)\/(-24) - 22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 27248*u**4 - 46484992*u**3 - 278011448*u**2 - 138692668*u + 463216360 = 0. What is u?\nAnswer: -3403, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - a**3\/6 + 20*a**2 + 3*a. Let k be b(0). What is the highest common divisor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1310 - 4?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1926.0939 - 1926. What is g rounded to three decimal places?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/45)\/(6\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13869*y + 5869*y + 3924*y - 2957750 = 0 for y.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from wlkco?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10 - 2) + -3 - 4) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35723779 divided by -5103397?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 13*g**2 - 14*g + 3. Let u be (-1)\/2*-2*14. Let l be m(u). Solve 2*r = -l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194995233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 12, 2\/17, 1\/10 in ascending order.\nAnswer: 1\/10, 2\/17, 3\/5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 151*v + 81. Let a be r(13). Suppose 7*y + a = 21*y. List the prime factors of y.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -24.3. Let f = 1.37 - 1.87. Which is the nearest to 0? (a) i (b) 1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 557 - 1?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9696 is divided by 302.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 347 + -297. Calculate the remainder when r is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21 and 1606901148?\nAnswer: 1606901169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t - 3. Suppose -3*i - 16 = r, -5*i + 0*r - r - 30 = 0. Suppose -2*h - 30 = 2*u, 4*h + 10 = 4*u - 10. Let q = h - i. What is m(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25856 = -2*a + 6*k, -27*k = -2*a - 22*k + 25854. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 1041940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -10 (b) 0 (c) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -399566, -799174, -1198786, -1598402, -1998022, -2397646, -2797274?\n\"Answer: -2*z**2 - 399602*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 6*u - 4. Let r be c(-4). Let y be (-1)\/(285\/72 - r). Calculate the greatest common factor of y and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 210.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3 + 11 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26641997 to the power of 1\/3, to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 22, 0, 428436?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5152.993 + -4829.68. Let l = -323 + o. Round l to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25612, 25626, 25638, 25648, 25656?\n\"Answer: -z**2 + 17*z + 25596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*q - 17 + 12, -3*y + 13 = 5*q. Let i(l) = 202*l**2 + 20*l - 43. Is 23 a factor of i(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (12 - 4) - 3. Which is greater: l or 2\/1183?\nAnswer: 2\/1183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 776.4503759 to the nearest ten.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2100, -4161, -6186, -8175, -10128?\nAnswer: -12045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1723*p + 5130*p - 1702*p - 1697*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/84*4\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 132*x**2 - 232*x**2 + 166*x**2 + 2 + 2*x**2 - 2 + (-x - 5*x + 3*x)*(6*x + 0*x + 2*x).\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -170306 by -2.\nAnswer: 85153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 92*h**2 - 2*h + 65. Let g(j) = -91*j**2 + 2*j - 68. Let b(a) = 6*c(a) + 7*g(a). What is the first derivative of b(d) wrt d?\nAnswer: -170*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 2547360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -59010000 to the nearest one hundred thousand.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -267*l**3 + l**2 - 79*l - 4337 wrt l?\nAnswer: -801*l**2 + 2*l - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 10*k**2 - 117*k + 39. Let d be u(-17). What is the closest to -3 in 6, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 396822258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 8*b + 6. Let v be j(6). Let z(y) = y**3 - 5*y**2 + 5*y. Let s(c) = 6*c - 6*c**2 - 257902 + 2*c**3 + 257902. Give v*z(u) + 5*s(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/(p\/(p\/p**(4\/7))))\/p))*p\/(p*p*p**(-25)))\/(p**(-7))**(2\/7))**(-4\/9) assuming p is positive.\nAnswer: p**(-712\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.34258 less than -9.1?\nAnswer: -10.44258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 3*a**2 - 2*a - 3. Let v be x(-3). Let s be 13\/(-4)*-2*(v - 1). What is the derivative of 13*b + 21 - s*b - 20*b wrt b?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j + 1\/5*j**4 - 1\/5*j**2 - 1\/5*j**5 + 1\/5*j**3 + 0.\nAnswer: -j**2*(j - 1)**2*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702626736 to the nearest integer?\nAnswer: 26507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-79 - 1) + -4718 + 4714.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 6:07 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/5 - 306*b - 3000.\nAnswer: -3*(b + 10)*(b + 500)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 63?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3\/5 + 242*n**2\/5 - 477*n\/5 - 144 = 0.\nAnswer: -1, 3, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*g**5\/7 - 32*g**4\/7 + 54*g**3\/7 - 20*g**2\/7 - 24*g\/7 + 16\/7 = 0. Calculate g.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2410256 (base 7) to base 10\nAnswer: 305066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.153, 2, -202, -6\/41?\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3822?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**4\/12 + 5*z**2. Let x(n) = -3*n. Give a(x(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 + 0.3. Let h = t + -9.51. Let i = h + 12. What is i rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*x - 124, -15*x = -14*x + 4*a - 77. Calculate the highest common divisor of 117 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 3:48 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -10*a + 20. Suppose a*l - 12 = 8. What is the third derivative of -223 + g**3 - l*g**3 + 3*g**2 + 223 wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = 4*k, 50*k - 2*v + 9 = 53*k. Solve -g = -w, 9*g + 24 = 6*g - k*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6547 = -3*c - 5200 + 9459. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -143?\nAnswer: 100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(1\/4))**35*z\/(z*z**(1\/2))*z\/(z*z**(1\/3)*z)*(z**6*z**(2\/31))\/(z\/((z*z**(-1\/9)*z*z*z)\/z)*z**(2\/5)\/z) assuming z is positive.\nAnswer: z**(183973\/5580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - 11.259132155.\nAnswer: -10.459132155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(25*z**5 + 17*z**5 - 29*z**5 + 4*z**3).\nAnswer: 26*z**5 + 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -57155854 * -0.5\nAnswer: 28577927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(468)*-1 + 5 - sqrt(468)) + 2*sqrt(468)*2)*-4 - (sqrt(468) + 0 + sqrt(468) + -5 + -1 + sqrt(468)*1))*4)**2.\nAnswer: 29568*sqrt(13) + 909184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/5)*o**(-3\/4)*(o**(-4)\/o)\/o**14)**(6\/5) assuming o is positive.\nAnswer: o**(-1173\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227476*r**2 + 212325*r**2 - 177630*r**2.\nAnswer: 262171*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -411*v + 834*v - 401*v. Let w(p) be the first derivative of -p**2 - 16. Determine w(q(b)).\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806587 is divided by 2513?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 + b**2 + 4*b - 4. Let d(m) = 3*m**3 - 3*m**2 - 7*m + 8. Let u(l) = -3*d(l) - 5*p(l). Let g be u(-3). Let k be g\/6*9\/(-2). Are k and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 17*n**2 + 2*n + 6*n**3 - 6*n**3 to z*n**2 + x + w*n + u*n**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0. Let u be 1\/(0 + 3\/21). Let v = u - 5. Which is the closest to -0.1? (a) q (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14949784459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1669279569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l\/(l\/(l\/l**(-5\/4))))\/l)\/l)\/l)\/l*l*l*l**(-15) assuming l is positive.\nAnswer: l**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 856849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 278678455.183 minus 1161?\nAnswer: 278677294.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085 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: -117 + 124 + (2 - 24 - (0 - -1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -715657.8 to the nearest one thousand.\nAnswer: -716000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3840*i - 2539. Is l(20) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*d**4 - 93*d**4 + 610*d**2 + 190*d**4 - 2*d to y + k*d**2 + n*d + u*d**3 + a*d**4 and give k.\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 339 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -332, -403, -466, -521, -568?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 748\/(40 - 6) + -35 + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 7*r + 229 = -28*r - 13*j, 4*r + 86 = -5*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85*m**2 - 453*m.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/4 + 1242705*x\/2 - 2485409\/4 = 0?\nAnswer: 1, 2485409","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1018\/9 + -113. Which is the closest to 2\/5? (a) v (b) -30 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Let w = 49418 + -49416. Sort -4, 5, w, t in decreasing order.\nAnswer: 5, w, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-160)\/(-26) - (-8)\/(-52). Suppose l - 1232 = -h*l. Calculate the highest common factor of l and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 13*t**3 - 2*t**2 + 2*t - 1. Let n be f(1). Suppose 10 = -l + 2*z, -4*l + 0*l - 4*z = -20. Suppose 5*a - a - 8 = l. Solve a*u + u + n = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -99022*b**4 + 3*b**3 + 1863727*b**2 wrt b?\nAnswer: -2376528*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 1701120.\nAnswer: 1701120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262870227?\nAnswer: 3, 29207803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 6, 5, -3 in decreasing order.\nAnswer: 17, 6, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = -q - 5, 0 = -2*a - 3*q. What are the prime factors of 741\/9 + (-4)\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1095169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -78134 times 3.08\nAnswer: -240652.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19697 - 65866 - 9481 + 14159 - 18257)*(2*b + 0 + 0) in the form f + y*b and give y.\nAnswer: -198284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -627802 by -2.\nAnswer: 313901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-85)\/(-36))*(-515)\/206.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3)**34 assuming p is positive.\nAnswer: p**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475))**2 + 1 - sqrt(19) - (2 + sqrt(931) + sqrt(931))) + 1 + (2 + sqrt(1900))**2 + 2 + (sqrt(304) + sqrt(19))**2 + sqrt(19).\nAnswer: 26*sqrt(19) + 2856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let f = -4 + 8. Let c(h) = -h - 4*h**2 + 5*h + 3*h**2 - f - h. Calculate c(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 102 + 290 = 0. Let i be k*(-1)\/(-9) + 5\/(-1). Let 0 - 2\/9*v**2 - i*v = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 5*o**2 - 5*o - 3. Let h be t(6). Let v be 1 + 1 + (h - 2). Solve 4*r + 6 = v*j, 3*r + 2 = j - r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -42*h + 38. What is the tens digit of s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -121*m**3\/2 + 1661*m**2\/2 + 2261*m\/2 + 735\/2 = 0?\nAnswer: -7\/11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35999807.5 take away -0.9?\nAnswer: -35999806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 473, 9\/10, -3, 0.2, 1.\nAnswer: -3, 0.2, 9\/10, 1, 473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 21. Suppose -n*s + 183 = -85. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -654900 to the nearest 10000.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*r**5 + r**2 + 12 wrt r?\nAnswer: 1200*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a4 + 352?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/3 - 2*w**3\/3 - 4*w**2 - 10*w + 36. Let h(c) be the first derivative of o(c). Suppose h(j) = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w - 92 = -68*w + 36*w - 442 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34952 - 24506. What are the prime factors of a?\nAnswer: 2, 3, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = r + 51. Let t(y) = 4*y**2. Let u(p) = 4*p**2. Calculate r*t(z) + 6*u(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwkkwebebbkeewkb. Give prob of sequence wkw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 1. Let x(a) = 3*a**2 - 2*a - 1. Let r be x(-1). Suppose -2*i = -2*k + r, i + k - 3*k + 3 = 0. Let l be q(i). Solve l*c + 4*c = -20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042119 is divided by 43401?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -8*f**3 - 24*f**2 + 32*f. Let b(v) = -7*v**3 - 25*v**2 + 32*v. Let l(o) = 4*b(o) - 3*j(o). Let l(p) = 0. Calculate p.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + (sqrt(7) - (sqrt(28) - sqrt(700))**2) + (sqrt(567) - (6*(sqrt(567) - (sqrt(567) + 0)) - sqrt(567))))*6.\nAnswer: -2724 + 114*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2\/5 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/112*-1*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/79, -1\/6, -2?\nAnswer: -6\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 3*u + 14*u. Suppose 81 = 4*m - 5*k + 27, -52 = -3*m - 2*k. Let q = m - u. Sort -1.5, -1\/8, q in descending order.\nAnswer: q, -1\/8, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = b + 3*b. Let v = -8 - b. Suppose 0*k + 2*k + 4*d - v = 0, 5*k - 2*d = 61. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 383482916 and 10.\nAnswer: 1917414580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 28 = -124. Let m = 21 + -12. Calculate the remainder when z is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 - (1 + -5))) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15054 and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 3*h**2 + 2*h + 1. Give m(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 94 = 4*w + 2*h, 109 = -4*w + h. Let z be (-6)\/w - ((-3)\/(-6))\/1. Let f = -104 - -730\/7. Sort z, -1, f in decreasing order.\nAnswer: f, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1973 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2316137 - 2119*x**2 + 2316135 + 669*x**2.\nAnswer: -1450*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 50\/8 + (8 - (-231)\/(-28))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161\/170567 or 0?\nAnswer: -161\/170567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 5:22 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -826323*m*n*u**2 - 2*m*n*u + 3*m*n - m*u**2 - 18483*m - 2*n*u + 106*u wrt u?\nAnswer: -1652646*m*n - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38559 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**4 - 5*a**4 + 0*a**4 + (204*a**3 - 35*a**3 + 26*a**3)*(-4*a - 7*a + 3*a) to u + s*a**2 + q*a + j*a**3 + o*a**4 and give o.\nAnswer: -1561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = 24*g. Let i(y) be the third derivative of y**9\/60480 + y**6\/60 + y**5\/20 - 2*y**2. Let z(v) be the third derivative of i(v). Give z(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.56 + 96.06. Let f = t - 91. Which is the closest to -2? (a) 4 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7758 or -8425?\nAnswer: -7758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**2 + 5*b + 7. Let t(w) be the first derivative of -w**3\/3 - w**2\/2 - w - 1518. Suppose -4 = 4*d, 0*r - 5 = -4*r + d. Determine r*p(f) + 6*t(f).\nAnswer: 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 - 2997*z**4 + 3224282*z**3 - 1436707312*z**2 + 209846358912*z + 211286293504.\nAnswer: (z - 904)**3*(z - 286)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2 - 16. Suppose f - 3*f = -2*v - 582, 582 = -2*v - 5*f. List the prime factors of 2\/p + v\/(-27).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - p**2 + 33*p + 93. Suppose 5*c - 108 = 42. What is the least common multiple of c and y(-3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 2*n - 28*n**2 + 7*n. Let z be w(3). Does 15 divide ((-17)\/((-68)\/z))\/((-2)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*o - 79*o + 12 = 2*b, 4*o = -b + 20. What is the greatest common factor of o and 2416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 15. Factor -1 + 42*p**5 + 4*p**4 + 1 - t*p**2 - 40*p**5 - 2*p.\nAnswer: 2*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473916 at least as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -7\/2*d**2 + 7\/3*d**3 + 1\/4*d**4 + 3*d + 92. What is m(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 2 + 3, -2*z = -4*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.05 + -0.15. Which is the nearest to 0.5? (a) 5 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3 + s**2 - 3*s + 1 - 1. Calculate q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*j + 412 + 3483 = 0. Calculate the highest common divisor of 817 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.8. Let r(q) = -3*q + 14. Let h be r(4). What is the biggest value in n, h, 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 11, 32, 61, 98, 143, 196?\n\"Answer: 4*g**2 + g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -6*r + 4*r - 5*m, 3*r + 5*m = 24. Let j(b) = b**3 - 2*b**2 + 3*b. Let u = 0 - -2. Let z be j(u). Solve r*d = d - z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298873451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 62501*n**2 + 102*n - 9. List the prime factors of m(-1).\nAnswer: 2, 5, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -50\/61, -4, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 215, 427, 639?\n\"Answer: 212*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:59 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 31 = -s - 11, 0 = 3*p - 2*s - 45. Calculate the greatest common factor of 91 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**2 + 3*k. Let j(h) = -3480*h - 87. Let v(c) = -201*c - 5. Let a(t) = 5*j(t) - 87*v(t). Calculate a(i(m)).\nAnswer: -435*m**2 + 261*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237088?\nAnswer: 2, 67, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t + 38 = 18*t + 6*h, 4*h - 18 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142 + -151. Let o(u) = -u**3 - 8*u**2 + 8*u - 8. Give o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37\/3 - 12. Let f = 41 - 208\/5. Which is the smallest value? (a) 0 (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -0.3, -3\/16, 18, 5 in decreasing order.\nAnswer: 18, 5, 3, 2, -3\/16, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -3)\/(108\/(-27)). Suppose 615 = 3*d - 57*f + 54*f, b = -5*d - 4*f + 1007. Which is bigger: 205 or d?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604*j - 83 + 803*j + 108 + 109 + 806*j.\nAnswer: 5*j + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*i - 0*g - 3*g, -3*i - 4*g - 12 = 0. Suppose 0 = -8*m + 9*m - 20. Suppose 20 + m = 8*v. Solve 0 = -v*l - i - 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 + 130. Which is the nearest to o? (a) -0.3 (b) -5 (c) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7963.657 centuries in years?\nAnswer: 796365.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/sqrt(900) - (1 + sqrt(63)\/sqrt(9)))**2.\nAnswer: 9*sqrt(7)\/5 + 667\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1856736173 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 7:13 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -114021 + -593?\nAnswer: -114614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 9*b**2 - 6*b - 7. Let y(z) = -z**3 - 8*z**2 + 5*z + 7. Let g(r) = 2*t(r) + 3*y(r). Suppose -k + 0 = 3*l - 8, l - 1 = 0. What is g(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -25*o - 0*o. Suppose -r + 3*r = -x + 8, -4 = -o*x. Let m = 0.33 - 0.03. What is the smallest value in -4\/3, m, r, -1\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1cd (base 16) to base 13\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 20121311311013?\nAnswer: -20121311311012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 244*m**3*s**3 - 3*m**3 + 2*m**2*s**2 - 7*m**2 + 4*m*s**3 wrt s.\nAnswer: 1464*m**3 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Let p = -2 - -4. Suppose s = p*y - 115. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-3)\/12*(-6)\/25\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 - -202. Let g(t) = -4*t**2 - 7*t - 12. Let q be g(-4). Let r = m + q. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*m - 33 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 14) to base 8.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -985*n**5 + 2*n + 25?\nAnswer: -19700*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07013 + -0.14987. Which is the fourth smallest value? (a) -3\/7 (b) 1 (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2\/56*(-35)\/(-10). Let i = 3.6 - 4. Sort i, -5, u in descending order.\nAnswer: u, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1632\/15143 - 2\/797. Let b be -2 + (-1 - 22\/(-8)). What is the smallest value in b, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -42. Let h = r + -8. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 + 5. Let o be s(5). Suppose 2*i + o = 11. Suppose 5*k = -i*t + 489, 3*k - 5*t - 174 - 99 = 0. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2)*(1 + 1). Sort 5, 0, u in increasing order.\nAnswer: u, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -28.7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 30.8. Is -0.2 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.17522 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d - 131 + 3*d + 131.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.48 - -4.59. Let l = s + -0.11. Let v = 2.747 + -2.847. Which is the nearest to l? (a) v (b) 1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405 is divided by 120?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:07 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -2*o**2 - 2*o - 61. Give f(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -8?\nAnswer: -83\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 658\/249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 3739504?\nAnswer: 3739505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96669 and 1656.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.24 and -68450668575?\nAnswer: 68450668575.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Let u = -11 - -11. Suppose 4*i - i - 12 = u. Solve -n - 5 + i = c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 e when four letters picked without replacement from {c: 1, n: 3, e: 2, o: 6, j: 1}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 9*o**2 + 6*o + 7. Is v(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 21 = -3*o, -2 - 25 = -3*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2284 divide 70678380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**50)**(2\/73)*(x**0)**23\/((x**(-4)\/x)\/(x**(-1\/4)*x)) assuming x is positive.\nAnswer: x**(2479\/292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 35 = 5*p - 0*p, p = 5*r + 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 + -0.2. Let j be 32\/112 + (0 - (-76)\/28). Let v = -2.989 - 0.011. What is the nearest to j in -0.2, v, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(10)\/(sqrt(5) - sqrt(45)))**2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)*w\/w**(2\/19)*w*(w*w**0)**(3\/17))\/((w**(-4)*w\/(w\/(w\/w**(-1\/6))*w)*w)\/(w**(-2\/7))**14) assuming w is positive.\nAnswer: w**(-2123\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(136)\/(sqrt(8)*1)*-2.\nAnswer: -2*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 61.1.\nAnswer: -12.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 (base 10) in base 14?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27761057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2667525 and 0.3.\nAnswer: 800257.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -81*(-5 + 50\/30). What is the greatest common divisor of q and 1755?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (304\/(-1064))\/(34\/(-28))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1516551, -11 in decreasing order.\nAnswer: 4, -11, -1516551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102453 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -635 - 52?\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12538*i**6 + 7*i**4 + 6*i**3 + 3269816*i**2.\nAnswer: 1504560*i**3 + 168*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110\/(12330\/4113 + -3). What is f rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 15030?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 180\/54 - (-2)\/(-6). Suppose 26*k - 25*k = v. Suppose -2*n - k*g + 238 = -108, -4 = g. What are the prime factors of n?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**4 + 371755*c**3 - 371865*c**2 - 7806735*c + 16729200 = 0.\nAnswer: -74352, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -22932*j + 1559387. What is c(68)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 1. Let i(w) = w - 9. Let o(l) = -i(l) + 6*t(l). Let j be o(11). Suppose -j*x + 45 = x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j - 19*j + 2*j + (1 + 2 - 1)*(-j + 0*j + 2*j) - j + 2*j + 0*j)*(-5 + 7 + 3)*(-8 - 13 - 7) to the form r*j + t and give r.\nAnswer: 1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g + 2. Let k(x) = -62*x**2 - 2. Determine k(q(o)).\nAnswer: -2232*o**2 - 1488*o - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02776 - -0.12776. Which is the nearest to -1? (a) -4 (b) -0.23 (c) 5\/4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/((-360)\/(-35)) + -1)\/(42\/(-12))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.16, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(v**2 + 3*v**2 - v**2) + 2*v**2 + v**2 - 2*v**2 - v**2 + v**2 - v**2 - 5*v**2 - 3*v + 3*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/10)\/(63\/24))\/((-2)\/(-7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*i - i = 4, i = 4. Let g(j) = -12 - 12 + 34 + j - 16. Calculate g(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**2 + 17*r. Let k be g(2). Suppose 2*c = z - 3, k = -z + 9. Factor -2\/3*w**2 + 1\/3*w**3 - w + c.\nAnswer: w*(w - 3)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 746*y - 716*y. Solve -4*d = 2*i - y*i + 6, -2 = 4*d - 5*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13323 (base 8) to base 4.\nAnswer: 1123103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10556 and 43036?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 - 4*m**2 - 9*m + 0*m**4 + 0*m**3 - 3\/10*m**5. What is the first derivative of y(v) wrt v?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {w: 3, m: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 37439 + 1029. Suppose -3*z + 18991 = -5*u, 4*u - 5*z + y + 7903 = 0. What is u rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1484, 5428, 12010, 21236, 33112, 47644, 64838?\n\"Answer: z**3 + 1313*z**2 - 2*z + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244 - 286. Let t be (1\/2)\/((-3)\/n). Solve t*b + 5 = 12*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2055238 + -2908.\nAnswer: -2058146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29267 and 11655.\nAnswer: 1317015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347\/5899 + 978\/(-153) + 6 - 274\/6.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -420761*c - 3366126. Give y(-8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.76, -15, -0.152, 2\/5, -4\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8700.2391 hours to weeks.\nAnswer: 51.7871375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1679 - 1538. What are the prime factors of x?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9460 by -2.\nAnswer: -4730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 884156.4 milligrams?\nAnswer: 884156400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (59\/(-4))\/(-5 + (-21)\/(-4)). Let y = -53 - d. Is y at most 17\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/((-162)\/1))\/(26\/(-12)). Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/8, -4, 14.4.\nAnswer: -4, -3\/8, 3, 14.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 13) in base 2?\nAnswer: -1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -123 + 514. Let u = a - 365. Suppose 101 = q - z, -q + 3*q = -z + 211. What is the greatest common factor of u and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7610 + 7610 + 89*f**3 + (-4 + 3 + 2)*(4*f**3 - 4*f**3 - f**3) - 125*f**3 - 29*f**3 - 16*f**3.\nAnswer: -82*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -4*c**3 + 7*c**2 - 2*c**4 - c**6 - 4*c - 1 + 16\/5*c**5. Find g, given that s(g) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 h, and 1 o when three letters picked without replacement from ooehotfoeteo.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18566659.\nAnswer: 79, 197, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a - 399 - 273 = -2*x, -x - 2*a + 76 = -7*a + 2*a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.38*4\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.643 plus -80345801?\nAnswer: -80345834.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106*u**3 - 1194321*u**2 + 334137696*u wrt u.\nAnswer: 636*u - 2388642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -4*v**7\/105 - 2*v**5\/15 + 7*v**2. Find the third derivative of d(c) wrt c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 2:41 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 873\/2 + -420. Find the common denominator of 67\/2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - 0.2. Let y = n + 0.05. Round y to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1028 = 79*v + 159. Let f be (-1 - -2)\/(1\/4). Solve -5*m - f*a - v = -3*a, 0 = 4*m + 3*a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48309315?\nAnswer: 3, 5, 23, 31, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530720.\nAnswer: 2, 5, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(3\/5))\/(q*q*q**(-3\/2)))**(-33) assuming q is positive.\nAnswer: q**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07693 and -0.5.\nAnswer: 0.038465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -84 (base 9) to base 16.\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (936\/46852)\/((-15)\/(-85)).\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {v: 1, n: 3, b: 1, g: 1, p: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**2 - 44988*f - 269820 = 0. What is f?\nAnswer: -14990, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15195383 and 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 8315*k - 33180.\nAnswer: -5*(k - 1659)*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -353790, -707511, -1061182, -1414803, -1768374?\n\"Answer: 25*l**2 - 353796*l - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-2 - -5))\/(-1). Suppose 0 = -r + l + 3. Suppose -15 + 35 = -r*z. What is z rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639678.39 rounded to the nearest ten thousand?\nAnswer: 2640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 60\/40*1*12\/(-63)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 2339067*x**5\/20 - 883*x**4\/2 + 2*x**3\/3 - 57*x**2 + 28*x. Factor q(l).\nAnswer: (2649*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4087286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = 2*r + 74, -2*r + 5*g = -0*r + 359 - 310 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 88*j + 4 + 2*j**2 - 89*j + 5 as v + k*j + d*j**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + sqrt(80) + (2 + sqrt(80) + -1)**2 + (5 + -5*sqrt(80) + sqrt(80))**2.\nAnswer: -144*sqrt(5) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-14\/5)*f*f*f**(-2\/3))**(-1) assuming f is positive.\nAnswer: f**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/107 - -532\/321. Let q = -3988820\/131 - -30449. What is the second smallest value in c, 4, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719 - 236*v + 74*v + 721 - 2*v**2.\nAnswer: -2*v**2 - 162*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89651106 to the power of 1\/3, to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vthuuohvovvu. What is prob of picking 2 o?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 261 or 48545\/186?\nAnswer: 48545\/186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -96699, -97304, -97909, -98514, -99119, -99724?\n\"Answer: -605*w - 96094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825 times -90273?\nAnswer: -164748225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*77436.55\nAnswer: 46461.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -71, -252, -537, -944?\nAnswer: -1491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 - 2*h - 2. Let u be s(-4). Let a(p) = p**2 + 4*p - 1. Let n be a(3). Let c = 38 - n. What is the greatest common factor of c and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*q - 13 - 12, -b = 4. Suppose -6 = -p - q. Solve -p*i = -8 - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55191624 to the nearest one hundred thousand.\nAnswer: 55200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a500 (base 14) to base 10\nAnswer: 28420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**3 + 6*u**2 + 6*u + 6. Let p(b) = -14*b**3 + 13*b**2 + 13*b + 13. Calculate 6*p(k) - 13*r(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 834 and 2641?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 14?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6)\/(i*i*i**2)*(i**(-1))**(-24\/11))\/((((i**(-2\/7)*i*i)\/i)\/i)**(2\/171)*i\/(i\/(i\/((i**(4\/3)\/i)\/i)))*i**(-1\/3)*i) assuming i is positive.\nAnswer: i**(-104849\/26334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.165 - -4.835. Which is the second biggest value? (a) -1\/9 (b) -0.6 (c) t (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(w**3 - 4*w**3 + 2*w**3) + 719*w**3 - 1149*w**3 + 684*w**3 in the form k + j*w**3 + m*w + d*w**2 and give j.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 250 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.23 (b) -1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-33))\/((-4)\/(-347082)). Suppose v + 96261 = -5586. Let z = v - n. What is z rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1847 + 3305. What is the lowest common multiple of l and 15?\nAnswer: 7290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**4 - 6*f**4 - f**4 + (f + 2*f**2 - f)*(-3*f**2 + 5*f**2 - 3*f**2) + 8 - 8 + f**4.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -134, -9, 1466.\nAnswer: -134, -73, -9, 1466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -18) + (-27 - 6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05996562 + 0.3675028.\nAnswer: 0.42746842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0541614095 - -0.05416. What is l rounded to 7 decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*i)*(-5*i**3 + i**3 + 2*i**3) - 42*i**4 - 8*i**2 + 44*i**4 + 5*i**2 to c*i**4 + v*i**2 + s + y*i**3 + j*i and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 5, -1\/34771, -2\/3?\nAnswer: -1\/34771","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2599358 is divided by 2150.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3322548 - -0.0122531. Let z = t + 0.32. Round z to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-25) - 39\/15) + -3. Let z be 9*(-3)\/r*(-6)\/9. Let t be 3\/(-5) + 304982\/(-5) + z. Round t to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w - 32. What is the units digit of p(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*p + 3*p - 17*p - 2 + 19*p**2)*(-2*p + 1 - 1).\nAnswer: -38*p**3 + 4*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12363683 to the power of 1\/2, to the nearest integer?\nAnswer: 3516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 72\/28 - 85\/(-35). Let a be -1*15\/(-9)*3. Put 1, 9, v, a in descending order.\nAnswer: 9, a, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407.\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2115 + 2147.944. What is u rounded to 1 decimal place?\nAnswer: 32.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (1 - -1 - 0). Let l(i) = i - 1. Let n be l(3). Solve -4*w - n*r = 30, p*w - 4*r + 2 + 3 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/7 - 648*r**2\/7 - 18075*r\/7 = 0. What is r?\nAnswer: -25, 0, 241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(30)\/(sqrt(80)\/sqrt(8)*-1) + 2.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 60 = 0. Suppose 4*n = 2*b - m, -4*b = -3*n - 2*n - 49. Solve 3*q - b = -q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1926\/856*16\/6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**2 + 0*f**6 - 1\/5*f**5 + 0*f**3 + 84*f - 26\/3*f**4 + 0 + 0*f**7 - 5\/56*f**8. Find the third derivative of v(i) wrt i.\nAnswer: -600*i**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 2, k: 1, b: 1, c: 1, g: 1}. What is prob of sequence ch?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**(-2\/9))*(j*j**16)\/j*j)\/(j\/(j\/(j*j**(-1))))**(-9\/8) assuming j is positive.\nAnswer: j**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 0 + 4 + 6\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -16\/14527?\nAnswer: -16\/14527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*c**2*g**2 + 15*c**2*g + c*g**2 + 6*c*g - c wrt c.\nAnswer: -32*g**2 + 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/12*-1*54\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5819105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -18, -2, 93255 in decreasing order.\nAnswer: 93255, 3, 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/41 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/2*(-141)\/(-12). Suppose 5*b + 23 = z. Let x be 1\/(-2) - b\/(-6). Calculate the greatest common divisor of 1 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 (base 13) in base 6?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-20) + 5796\/(-920). Let u be 49\/(-3) + (-6)\/9. Let m(t) = 3*t**2 + 23*t - 11. Let g(l) = -l**2 - 8*l + 4. Give u*g(q) + w*m(q).\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2494, -4969, -7444, -9919?\n\"Answer: -2475*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*s + 4*l + 7, 3*l - 1 = s. Let h be 8\/2 + -2 + s. Sort -3, -1, h.\nAnswer: -3, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -95*g - 1236. Give f(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6551?\nAnswer: 6551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5605 and 1830593?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3039*o - 572. List the prime factors of w(-5).\nAnswer: 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/6)\/n**(2\/13))\/(n**(-20))**(-48) assuming n is positive.\nAnswer: n**(-74957\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-9)\/2 + (-189)\/(-6). Suppose -25*d - 25 = -k*d. Suppose d*l = -4*f + 878, 4*l + 178 = -2*f + 884. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 - 2*t + 4. Let o(h) = -5*h - 190. Let i be o(-39). Let n(l) = 6*l**2 + 5*l - 9. What is i*r(u) + 2*n(u)?\nAnswer: -3*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 49 + 23 + 19 + 2*k**2 + 21 to y*k + z + l*k**2 and give z.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 161, 1 in descending order.\nAnswer: 161, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102927 + 4881*p + 102927 + 10456*p.\nAnswer: 15337*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784445 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 n(g) = 3 - 3 - 193*g + 205*g - 5*g**2. Let d(u) = u. Determine d(n(x)).\nAnswer: -5*x**2 + 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1080 and 287880.\nAnswer: 2590920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {r: 5, s: 8}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a century in months?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in 0, 3\/4, -2, 1\/1278, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1273 = 61*v - 1045. Solve s - 30 + v = -2*q, 4*q + 10 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wndxxnx. Give prob of picking 1 d and 2 x.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -30 + 11?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.07 (b) -4 (c) -309708\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*((3*sqrt(5)*-1 - sqrt(5)) + sqrt(900)\/sqrt(5)))**2*-6.\nAnswer: -108000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 442350684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 31 + -25 + 1 + 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -91. Let i = k + -40. Let r = -0.35 + 0.05. What is the closest to -1\/4 in r, i, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046 < -2\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (6 + 23 + -17).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11192630*s**4 - 2*s**2 + 22*s + 94003?\nAnswer: -268623120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35026 smaller than -385282\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-36 - 13 - 34)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58524 from 388524841.\nAnswer: 388466317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1407 - 318 + 550)*(-3*z**3 - 2*z**3 + 4*z**3)*(z - 2*z + 0*z).\nAnswer: -1175*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 6668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**4 - a + 1. Let p(b) = 3*b**5 - 18*b**4 + 58*b**3 - 50*b**2 + 8*b + 4. Let m(k) = -5*l(k) - p(k). Determine i, given that m(i) = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1447878981?\nAnswer: 3, 61, 7911907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3340, -3343, -3346, -3349?\n\"Answer: -3*t - 3337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 60. What is the remainder when y(4) is divided by 6\/(-4) - 33\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 + -10. Let s = q - 14. What is the closest to s in -1, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100249399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + c = 0. Solve 2*u + 3*u - 4*i - 11 = c, i + 2 = u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 i, and 1 z when three letters picked without replacement from izwwiizfiiizffiisii?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -101 + 104. Suppose -6*o + 45 = m*o. Solve 0 = -2*b - 5 - o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-8)*(-76)\/133. Is n greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 4*a**2 - 2*a - 2. Let h be n(2). Let j be 2*h*11\/(-4). Let s = j - -22. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 39 = 12. Let z = 10 - t. Suppose -x + z = 2. Put 1, x, -4 in ascending order.\nAnswer: -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 3*v**2 + 4*v + 2. Let g be j(-4). Suppose o - g = -2*r, 3*r - 1 + 3 = -4*o. Suppose 5*a = -8 - r. Is a > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 1, 0, -30, 2.3, -2\/1715?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -17350690.\nAnswer: 69402760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 48.68 (b) 2\/15 (c) 0.002\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1900 - 1900. Let n be 11 - (2 + -1) - 4. Solve -h + 7*h - n = d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 669061 + 2114534 - 412507. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -383.99999781 + 384. Round p to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.0082 (b) -54 (c) 4\/9 (d) 17 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -247 by -9210.\nAnswer: 247\/9210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 720874 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -2643319?\nAnswer: 2643318.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30113?\nAnswer: 30113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2948 = 9*v - 7*v, 0 = 3*n - 2*v - 8860. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0.23224418.\nAnswer: 3.23224418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37719.\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 7. Let o be z(-8). Suppose 133*x - 300 = 33*x. What is the third biggest value in x, o, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p**3 + p**3 - p**3)*(5 - 3 - 1)*(-2 - 2 + 3).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 25 = -17. Let c = 70 - q. Suppose 4*s - c = 3*s. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(2\/9)*q**1*q*(q\/((((q**(-2\/7)*q*q*q)\/q)\/q)\/q))**(-45)*(q\/(q*(q*q\/(q**(-1\/3)\/q*q*q))\/q))**26*(q*q**0)**(9\/2) assuming q is positive.\nAnswer: q**(-7465\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 315118.6ml?\nAnswer: 315.1186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - -1) + -650 + 636.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8 - -10 - (7 - 1199)?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 36. Let y = m - 26. Solve 0 = 4*g + 3*c + 12, -2*c = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515126535?\nAnswer: 3, 5, 7, 11, 31, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouu when three letters picked without replacement from {z: 1, r: 1, a: 1, o: 3, l: 2, u: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.2 - -8. Let w = 7 + -4. Let m = w + -2.6. Sort -5, q, m in decreasing order.\nAnswer: m, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -257 + 258. Let u be (-15)\/w - 0*7\/28. Which is greater: u or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 10:12 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1932728774 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 518066185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - z + 29 = 0, 5*z - 6 - 9 = m. Find the first derivative of -1 + 6 - 1 - m*x**3 wrt x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -o**3\/3 + 4. Let a(m) = -92*m. What is g(a(h))?\nAnswer: -8464*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - -4. Suppose -s + 5*a = -29, s + 3*s - 2*a = y. Solve -g + 2*o = -9, -6*g - 13 = -3*g + s*o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 78*g**2 - 2*g + 1. Let q be x(1). Let p = 1650 - 1639. Suppose -4*w = z - 24, -1 = 2*w + z - p. What is the greatest common factor of w and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 834 = 3*n - 3*d, -2*d + 796 = 4*n - 322. Suppose -3*i + 905 = -4*c, 5*c - 355 = -2*i + n. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fefjzeeejfpe. Give prob of sequence ej.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 + 41838*f - 437604561 = 0.\nAnswer: 20919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h**3 - 2*h**2 - 2*h - 1. Let l be (1 - -1)*3\/(-6). What is p(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 10529616*c**2 - 21059220*c + 10529608.\nAnswer: -4*(c - 2632402)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -60. Let m = a - -21. Let b = m + 46. What are the prime factors of b?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*t + 9 = 0, -z - t = 3*t - 17. Let x be z + (2 - 3 - -2). Let q(m) = -m**x - m - 3*m**2 + 3*m**2. Give q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 574\/(-441) - (-12)\/27.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -2.8. Let n = -10 - -9. Let i = -4 - n. Put i, w, -0.3 in decreasing order.\nAnswer: -0.3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**4 + 3*n**3 - 3*n**2 - 3*n + 3. Let r(h) = 10*h**4 + 5*h**3 - 5*h**2 - 5*h + 7. Let x(p) = 3*r(p) - 5*t(p). What is the derivative of x(b) wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2627\/12 + -219. Which is the third biggest value? (a) g (b) 3\/14 (c) 0.3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -101 + 101.3. Let m = -14\/3 + 5. Which is the nearest to -1? (a) m (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1448\/2534*(-35)\/24?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 351069 and 12?\nAnswer: 1404276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.62 and 0.0680552?\nAnswer: -0.178304624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p**2 + 13*p**3 - 13*p**2 - 8*p**2.\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/(h**(7\/3)\/h))\/(h*h\/(h*h**(1\/6))))\/(h**(-2\/11)\/h)**26)**(-1\/4) assuming h is positive.\nAnswer: h**(-2017\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u + 9. Let p be f(-1). Which is greater: 1\/164 or p?\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*k**3*o**2 - 5754*k**3*o + 192*k**2 + 67*o**2 wrt k?\nAnswer: 42*o**2 - 34524*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 334520 and 669040?\nAnswer: 669040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a hour in minutes?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:04 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w**3 + 9*w**2 - 6*w + 2. Give n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0098 - -22.2902. Let g = p + -25.3. What is the fourth smallest value in -2, -0.1, -0.5, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let o = -2 + u. Let j be ((-378)\/140 - -2) + (-1)\/(-5). Which is the third smallest value? (a) j (b) o (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-seven halves of a centimeter?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n. Let i be s(1). Suppose -7 - i = -5*m. Suppose -4*u = m*f - 3*u - 43, -4*u = -4*f + 44. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -42 + 324. Let v = f + 143. Find i, given that -i**2 + v*i + i**3 - 96*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 14 = -23. Let n be (s\/(-6))\/(6\/16). What is the units digit of 90 - (n\/(-2) - 0\/1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 93*m**2 - 8. Let w be j(2). Suppose -y = 113 - w. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/16*4*9. Let g be (1\/6*2)\/(2\/o). Solve 13 - g = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.9864 + 56868.9889?\nAnswer: 56835.0025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 138*h - 121*h + 259*h + 3*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 2*o + 3*o)*(18 - 47 - 31)*(0 - 7 - 4) + 24*o + 24*o - 8*o in the form f + x*o and give x.\nAnswer: 700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112149 is divided by 6229?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 divided by -53?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17553 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/(-3) + 1\/3. Let a be ((-2)\/i)\/((-1)\/8). Let r = 97 + a. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n + 4, -40 = -2*b - 4*n. Solve 0 = -124*r + 113*r - b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 59. Let n = i - 18. What is the highest common divisor of 50 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -2. Let c be 11 + 3 - (-7 - -2). Let f = n + c. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q - 36*q - q**2 - 32*q + 101*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*z**3 - 71*z**3 - 51*z**3.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**3 - 3*n - 4*n**3 - 8*n**3 to x*n**2 + v*n + k + w*n**3 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/12 + 42*q. Let w(u) = -98*u**2. Give w(z(a)).\nAnswer: -98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 801\nAnswer: 1\/801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2793 + 2?\nAnswer: -2791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685089 is divided by 48934?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + sqrt(119) + sqrt(119) + sqrt(119) + sqrt(119)*-1*-4 + sqrt(119))\/(sqrt(112)*2) + (sqrt(187)*-3*6)\/(-6*sqrt(275)).\nAnswer: 69*sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.5, -0.1, 0.7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/302 and 23\/720.\nAnswer: 108720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*t + 69*t - 1018*t - 123476 = 116652 for t.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 0)*(45\/(-10))\/9. Suppose -s*c = l - 529, 2*c - 3*l + 0*l = 275. What are the prime factors of c?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -194 + 193. Which is the third smallest value? (a) 4 (b) s (c) -2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33182 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2530, 2.\nAnswer: -2530, -25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -2\/15, 33, 3, -363, -0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 4*r + 8. Let c be g(-6). Let d be (-2)\/4*(2 + c). Sort 5, -4, d in descending order.\nAnswer: 5, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(512) + -4)**2.\nAnswer: -256*sqrt(2) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5 + 33*x**4 + 138*x**3 + 270*x**2 + 243*x + 81 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + q + 0 = 7, -4*h - 10 = 2*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 69 = 3*d, -3*d = -2*d + 4. Calculate the smallest common multiple of p and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4121988.\nAnswer: 2, 3, 13, 26423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57157.1um to centimeters.\nAnswer: 5.71571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from mbbmmmmbmmmmmmmbmmmm?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2\/47, 0, -1, -1\/61, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103.42 + -98.42. Which is the biggest value? (a) 0 (b) 2\/5 (c) 0.39 (d) -2\/9 (e) k\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) - sqrt(180)\/sqrt(300)) + -4*sqrt(90)\/sqrt(6))\/(((-1*sqrt(320) - sqrt(320)) + sqrt(320))*2 + sqrt(320)*1*4 + sqrt(320)).\nAnswer: -2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/963 and -10\/1382829.\nAnswer: 443888109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3020?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5842368 divided by 414?\nAnswer: 14112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761 = 853*g + 140 + 1174 + 4565 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 - -2.96. Suppose 5*q = -4*n - 16, -3*n - q = -0*q + 1. Are v and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/10)\/((-63)\/(-14)). Let q = o - -143\/180. Let y = -4.073 + 0.073. What is the closest to 13 in -1, y, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -2, -5\/4, -4.87, -1\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 25, 3, 96, -12, -1, 5 in ascending order.\nAnswer: -26, -12, -1, 3, 5, 25, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-9)\/30)*6\/(-45).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-133022)\/(-6) - (176\/(-12) + 14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -1\/3 (c) 135 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 4*k**2 + 2*k - 1. Let r be b(2). Let z(p) = p + 8. Let q be z(r). Suppose c + 6 = q*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -616 + 2*p - 613 + 1246. Calculate b(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/10 - (5 - 0)*-1. Let b(j) = 11*j**3 + 6*j + 3. Let m(x) = 7*x**3 + 4*x + 2. Calculate z*m(p) - 5*b(p).\nAnswer: p**3 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*3*-5 - sqrt(405))**2 + sqrt(5) + (sqrt(5) + -2)*-3 + -6*sqrt(20)\/sqrt(4).\nAnswer: -8*sqrt(5) + 103686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-844)\/7680 - (-33)\/110 and -2\/15.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 42027900?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from dggxeerggrxl?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 5. Let x = 4 - c. Which is smaller: 1\/18 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (20672*a - 194*a**2 - 20672*a)*(0 + 0 + a**2) in the form l*a**4 + r*a**2 + m*a + g + s*a**3 and give l.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**3)**33 assuming t is positive.\nAnswer: t**(-396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*g - 4*g. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5778076 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -38*g + 286. Give z(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzaz when four letters picked without replacement from azazzazaaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-42)*18\/(-36) + (-36840)\/(-504).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/696186969?\nAnswer: -5\/696186969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 18*q**2 - q + 3. Suppose -4*y = -0*y - 12. Let v be f(y). What is the greatest common factor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 532412210 (base 6) to base 9.\nAnswer: 18552126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 12:17 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 966\nAnswer: -965.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3 - -7. Which is the third biggest value? (a) 2 (b) -3 (c) -0.1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 113103, 50, 1\/4?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from {e: 1, y: 3, b: 1, p: 1, l: 5, z: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/52*-13*(-75)\/(-25).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 130946*o\/3 + 4454476\/3.\nAnswer: -2*(o - 65507)*(o + 34)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 0)*(-4)\/(-10). Let t(x) = 14*x**3. Let b be t(1). Suppose v*p = 3*p - b. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) -1\/2 (c) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4776308687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/66 + (-32)\/15)*35060\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -11*p**6\/120 - p**5\/60 + 23*p**3\/3 + 12*p**2 - 3. Differentiate m(a) with respect to a.\nAnswer: -33*a**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 + 78. Suppose 17*f - 13*f - 120 = j. Calculate the remainder when 114 is divided by f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45180 + 101771. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.82*13.466.\nAnswer: -91.83812","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 35018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o**2 - 5*o - 6. Give s(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 53 + 24 + -51\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 7*m - 3*d + 74, m = d + 15. Let y be (m\/20 - 1)*4. Suppose -3*a = a - 3*r + 1, -5*a - 9 = 4*r. Is y > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2151 + 7343. Suppose -8*l = -0*l - x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25813653 to the power of 1\/2, to the nearest integer?\nAnswer: 5081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1212 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 100 = -2*c, -5*c - 3*j = 2*j + 250. Let l = -48 - c. Suppose 5*p = q + 20, 3*q + 0*q + 21 = l*p. Put p, 27, 0 in ascending order.\nAnswer: 0, p, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2407000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 6 = -1 + 13. Let l = 5 + -5.3. Which is the closest to -2? (a) s (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/126*-2*6\/4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-66)\/(-30) + -4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4425 + 4432. Calculate the remainder when ((-474)\/(-15))\/(-1)*-5 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 - 13*y + 11. Let j(s) = 4*s**2 + 12*s - 10. Let t(u) = -5*b(u) - 6*j(u). Let a be t(7). Sort -4, a, -5 in ascending order.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40916120 and 192275.\nAnswer: 204580600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(8\/(-10)) - (-13 + 3). Let z(p) = -p**2 - m - 14*p + 33*p - 16*p - 1. Calculate z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18.3 - -18. Sort 0, x, 8.\nAnswer: x, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, 272, 437, 620?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -839, -1725, -2623, -3539, -4479, -5449, -6455?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*f = 118*f - 2366 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10\/13 (b) 2\/7 (c) -32 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 15, -4*w - 3*p + 25 = -6*p. Suppose -5*f + 2*k + 33 = 0, -4*k + 3*k = w. Suppose -f*b - 1 = 29. Put 5, -4, b in decreasing order.\nAnswer: 5, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**6\/7 - 44*t**5\/35 - 37*t**4\/7 - 40*t**3\/7 - t**2\/7 + 20*t\/7 + 247. What is x in s(x) = 0?\nAnswer: -1, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -1, -25, 12 in ascending order.\nAnswer: -25, -7, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 3\/3 - -32 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**4\/12 + 13*w**2. Let s(x) = -x**2. What is s(i(o))?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 35 - 155. Suppose -2*n - x - 2 = 0. Let a be 3\/2*n\/105. What is the second biggest value in -3, -5, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*h + 595 = 301 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*h**3 - 802605*h**2 + 29495598*h + 8492832 = 0. Calculate h.\nAnswer: -38256, -2\/7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 418320 (b) 6 (c) 1\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.1 - 10.6. Let y = i - 29. What is the nearest to -1\/3 in -4, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j + 78 = -6 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 - 0.28. Let h = 0.01 + n. What is the biggest value in 0, h, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gukxkkkgxxu. What is prob of picking 1 u and 1 g?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 705, 1510, 2315, 3120, 3925, 4730?\n\"Answer: 805*s - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5973.365 - 5974. Which is greater: v or -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 (base 9) in base 3?\nAnswer: 100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+0.329\nAnswer: 1.429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-10))\/(1\/6). Let d = 6323 - 31613\/5. What is the nearest to d in q, -2\/41, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3*s**4 + 23*s**3 - s**2 - s**4 - 5 - 4*s**4 to p*s**4 + q*s + i + y*s**2 + o*s**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -303*t - 48. What is the hundreds digit of z(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.236 - 9.764. Which is smaller: -0.5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10946354, -10946353, -10946352, -10946351, -10946350, -10946349?\nAnswer: -10946348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8 - 3) + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/(-52) - (-4)\/((-12)\/(-15)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let h(q) = q**3 + 4*q**2 + 4*q + 3. Let a be h(-2). Suppose a*x + 0*x = 0. Suppose v + x = 2. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 5, 3\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5209 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -15) + -9 - (8 + -7).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3176 and 24217.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(4\/(-3)*(-47 - -44)). Let q(d) be the second derivative of 1\/6*d**4 + 22*d + i + 0*d**2 - 19\/3*d**3. Find the second derivative of q(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + 2*(-5 + 172)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 78, -0.13, -3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 1796*k**3 - 1797*k**3 + 2*k + k + k - 5*k - 9*k**2.\nAnswer: -k**3 - 9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-880)\/(-1045))\/(50\/3800)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8839871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*m - 2 = 0, -m + 4 = -20*u + 19*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6893721 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18344973301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 5. Suppose 0 = t*r + 1 - 7. Let h(w) = 3 - 3*w - r. Determine h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**3 + q**2 + 1. Let w(f) = 5093*f**3 - 5076*f**2 + 1. Let j(h) = w(h) - z(h). What is the third derivative of j(r) wrt r?\nAnswer: 30594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -57.8, -10, 3, 0.3?\nAnswer: -57.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -29*r**3 - 15*r**2 + 11*r - 11. Let l(a) = 6*a**3 + 3*a**2 - 2*a + 2. Calculate 2*c(w) + 11*l(w).\nAnswer: 8*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 3\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (1 + -1)) + 0. Let q be (-1 - (-34)\/4)*p. Calculate the highest common factor of 30 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 4) to base 5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*-2)\/(sqrt(40)\/sqrt(4)*-3).\nAnswer: -2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 - 4?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 348713 not equal to 348714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 2\/5*f**5 + 0*f + 0*f**3 + 0*f**2 + 1\/3*f**6 - 1 + 0*f**4. Factor z(o).\nAnswer: 2*o**4*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 20. What is the closest to 1 in -2\/7, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*o**2 - 224*o**2 + 59*o**2 + 1094.\nAnswer: -3*o**2 + 1094","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 26*n**2 + n + 38. Let g be y(27). Let h = 780 - g. Do h and -11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-9))\/((-46)\/10350). Calculate the greatest common factor of 38400 and j.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 19, 52, 119, 232?\n\"Answer: 2*c**3 - c**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from ssesczsvvvevzveszss.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9925272*d**3*n - 2*d**2*n - 3*d**2 - 445*d*n - 357*d + 3*n wrt d?\nAnswer: 59551632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**6\/15 + o**5\/60 - o**3\/6 - 3*o**2. What is the least common multiple of 10 - ((-22)\/10 + 15\/75) and g(1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n**4\/4 + 2841*n**3\/2 + 1708875*n**2 - 909100234*n = 0. Calculate n.\nAnswer: -3038, 0, 394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 6. Let p = 0 + 3. Suppose p = -4*a - 13. Determine u(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -786.\nAnswer: -1\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 6318\/297 + (-118)\/88*-52\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + y - 10 = -0*h, -4*y - 21 = 3. Factor 0 - 5\/3*w**5 - 40\/3*w**h - 65\/3*w**3 + 0*w - 10*w**2.\nAnswer: -5*w**2*(w + 1)**2*(w + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103 divided by -1\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7050 = 1557*v - 28848 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 610626 - 387?\nAnswer: 610228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 251 - 2351 = -35*a. What is the greatest common factor of a and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66905 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48401 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tnts when four letters picked without replacement from {n: 2, t: 2, s: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 + 7*d**2 + 9*d**2 + 68 + 62 + 62.\nAnswer: 16*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1474 - -1483. Which is the closest to 0? (a) 0 (b) -3 (c) -1\/3 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21\/8 + 97\/40. What is the nearest to 0.2 in -3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -6 - 2\/35*x**5 + 1\/14*x**4 + 0*x + 0*x**3 + 0*x**2. Solve r(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*t**2 - 2 - 3*t**2 - 4*t**4 + 0*t**4 + 2*t**4 in the form m*t**3 + z*t + i*t**4 + c*t**2 + g and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 14. Let l be (0 + -1)\/((-1)\/(-25)). Let r = l - -18. What are the prime factors of m(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 - -39. Let s(w) = 7*w + 3. Determine s(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5ba (base 14) to base 2\nAnswer: 10001111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57634 is divided by 1067.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -255910 and 0.65?\nAnswer: -166341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2613604*d**2 + 282920 wrt d?\nAnswer: 5227208*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -14.0071?\nAnswer: -1.120568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1073, -5, 2, -3 in descending order.\nAnswer: 2, -3, -5, -1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*u**2 + 256*u**2 - 718 + 245.\nAnswer: -2*u**2 - 473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from gpbbgpgpllhgpgpgppg?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -571\/11 - -52. Suppose 0 = -3*a - 12, 2*t - 4*a - 332 = -2*t. Let k = -74 + t. What is the third biggest value in m, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -4, 1\/4, 4, -74?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m**2 + 0*m**2 - 7*m**2)*(-5*m**2 + 4*m**2 - 5*m**2) to the form u*m**4 + p*m + i + l*m**2 + b*m**3 and give u.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 2*v**2 - v**4 - 2*v**3 + 0*v**2 + 0*v**3 + 3*v**4 + 0*v**3 + (0*v**3 - v**4 + 0*v**3)*(-4 + 1 + 2).\nAnswer: 3*v**4 - v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**7\/840 - 7*k**6\/360 - k**5\/24 - k**3\/2 - 6*k. Let x(g) be the second derivative of o(g). Calculate x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106006343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 231155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15746997?\nAnswer: 3, 7, 271, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d - 5*d**2 - d**2)*(-d + 3*d + 0*d + (4 - 4 - 2)*(6*d - 4*d + 0*d)).\nAnswer: 12*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o**(3\/2)\/o))*((o*o**(3\/7))\/o)\/o*(o**(-1))**32 assuming o is positive.\nAnswer: o**(-449\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3*x**3 - 80573*r**3*x**2*z + 2*r**2*x**3 - 2*r**2 + 57*r*x**3*z - 623*r*x**2 + r*x - 50 wrt z.\nAnswer: -80573*r**3*x**2 + 57*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*i - 4, -2 + 0 = 2*y - 4*i. Suppose -h + 4*p - p = -7, 7 = h + y*p. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4693232 and -9\/10?\nAnswer: 23466160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 5:38 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-315)\/220 + 5\/4. Put c, 4, -0.1, 3 in descending order.\nAnswer: 4, 3, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-252)*16\/(-3))\/(-2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1363*f**3 + 5*f**2 + 5*f - 10. Let c(a) = -682*a**3 - 3*a**2 - 3*a + 6. Determine -5*c(p) - 3*m(p).\nAnswer: -679*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 + 112*v - 4. Let l = -2428 + 2444. Give q(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -432.41 - -436. Let k = r - 3.49. Which is the nearest to k? (a) 1\/3 (b) 1\/2 (c) 12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-24) + 392\/448\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (-129)\/33?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 21 + 45 - (34 + 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*k + 0 + 0)*(6 - 4 - 1) + 0*k - 6*k + k)*(3*k - 3*k - k**3).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**4 - 1294*g**2*u + 74804*u wrt g?\nAnswer: -8*g**3 - 2588*g*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222037640?\nAnswer: 2, 5, 11, 504631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -8. Suppose 2*g = -0*o - m*o + 80, -o + 16 = g. Suppose 0*j - o = -2*j - 4*x, -j + 3*x = 2. Solve j*p - 12 = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 635226777?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22901477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:13 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-56))\/(((-25)\/35)\/(-5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.32 + 11.57. Round q to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0915 - 0.4781282.\nAnswer: -0.3866282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6979497*g**6 - g**4 - 1855678*g**2?\nAnswer: -837539640*g**3 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1260*s**2 + 255*s - 497762?\nAnswer: -2520*s + 255","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 3 - 7. Let h(u) = 14 - 13*u**2 + u + u**3 + 7*u**x - 7*u**2 + 10*u. Calculate the smallest common multiple of h(12) and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 6, -3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-684)\/399)\/(300\/(-70))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19554 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.1 - -10.9. Let r = -7 + 2. Let i = 8 + r. Which is the nearest to 1? (a) 0.5 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = -3. Let v = 1581\/2 - 791. What is the nearest to 0.1 in v, -0.7, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 53*h + 25. What are the prime factors of v(3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 18 = 2*m, 7*m - 2*m = 4*v - 19. Let g = m - -2. Let s be -3*(-2)\/(-15)*g. Solve 3*h = s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -219*s + 30271 - s**2 - 1275*s - 30271.\nAnswer: -s**2 - 1494*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - w + 12, -4*a + w - 14 = 0. Let u(s) = -4*s**3 + 5*s**2 + s - 3. Does 9 divide u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 3 - (3 + -2). Let i(d) = -1 + 3*d**2 + 0*d - d + d**3 - 4*d. Let q be i(-4). Which is the second smallest value? (a) k (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2. Let o = 21 + -17. Let p(i) = 11*i - 10. Let r be p(o). Let g(s) = 16*s**2 - r*s**2 + 24*s**2. Give g(z(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -4. Suppose 4 = -4*k - f. Is k\/3 + 627\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in -0.2, -0.15, 2\/19, 24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/24*(-1)\/6*-3. What is the nearest to -0.3 in 0.059, -2\/11, l, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l\/l**8)\/l)\/l))\/((l*l**8*l*l)\/l*l*l))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -15. Suppose 111*y - 159*y = -144. What is the biggest value in l, -10, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 37, 24, 5, -20, -51?\n\"Answer: -3*u**2 + 2*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.158 - 0.058. What is the closest to d in -2, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 7048*g + 161046.\nAnswer: 2*(g + 23)*(g + 3501)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000171128 rounded to seven decimal places?\nAnswer: 0.0001711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -70 - (12 - (12 - (38 + -29 - (4 - -2))))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 7*l = -3*g - 13, 4*g = -5*l + 41 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 7.8. Let g be (204\/(-306))\/(6 + -5). Which is greater: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 6*g**5\/7 + 15*g**4\/7 - 108*g**3\/7 - 177*g**2\/7 - 60*g\/7 = 0.\nAnswer: -5, -1, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20007990?\nAnswer: 2, 3, 5, 222311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 156, -222 in descending order.\nAnswer: 156, 1, 0, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2\/2 - 30290*t + 6601170.\nAnswer: 5*(t - 11894)*(t - 222)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 3*q - 97. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 882, -9793, -1 in descending order.\nAnswer: 882, -1, -9793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 1 + 2)**2 - (4*(0 + sqrt(637))**2 - sqrt(637)))*-5.\nAnswer: -245*sqrt(13) + 9510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k + 21*k**3 - 4*k**3 + 9*k**2 + k**4 - 12*k**3 + k**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5233 and 0.1?\nAnswer: 523.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r + 0*r - 3*r + (-2 - 4 + 2)*(-3 - 2*r + 3).\nAnswer: 11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.44006216 - 4.44. Round c to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15303, -4, -1 in decreasing order.\nAnswer: -1, -4, -15303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1838, 2612, 3386, 4160, 4934?\n\"Answer: 774*y + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**3*f**4 + 15*c**3*f**2 - 3*c**2 + 1031514*c*f**5 + 22*c + 185*f**2 wrt f.\nAnswer: -72*c**3*f + 61890840*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 14*d = 0. Suppose d*r + r = 24. Suppose 4*l - r = 8. Calculate the greatest common factor of l and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2265 - 425. Suppose -116*j = -126*j + i. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7448, 14863, 22266, 29651, 37012, 44343, 51638, 58891?\nAnswer: 66096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2654699 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19675, 19671, 19667, 19663, 19659, 19655?\nAnswer: 19651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/2 + -1 + 1. Let g(f) = -f + 1. Let q be g(p). Suppose q + 47 = h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*a + 9 = 0, 2*q = q + a + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -75, 14.\nAnswer: -75, -2, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 180189.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 8*s**2 + 8*s - 9. Let j be m(7). Let h be ((-12)\/2)\/(-2) + 2. Suppose 11 = h*n - 4. Sort 1, j, n in increasing order.\nAnswer: j, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 4*d**2 - 2*d - 1. Let g be z(4). What is the greatest common factor of 21 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134092*n**2 - 40*n**3 + 5*n + 0*n + 26*n**3 - 134092*n**2.\nAnswer: -14*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (183975\/4)\/11 - (-1)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 83160012\/9 + 3 + 21\/(-9). Let u be (-14)\/21 - d\/(-3). What is u rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**5 - 2*c**3 - 2*c**2 + 31 wrt c?\nAnswer: 420*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -7*z**3 + 5*z + 60. Let m(p) = 84*p**2 - 21. Let g(y) = 21*k(y) + 5*m(y). Let q(d) = -3*d. Calculate g(q(c)).\nAnswer: -189*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 201\/54 + -1 + 0. Let k = a - 3. Find the common denominator of 9\/16 and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/11)\/(f*f**(1\/8)*f))\/((f*f**(1\/5))\/(f\/(f\/f**(-1)))) assuming f is positive.\nAnswer: f**(-1823\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j + 789. Let t(l) = -15*l + 3349. Let h(i) = 2*t(i) - 9*u(i). Let a(c) = 2*c**2. Determine a(h(d)).\nAnswer: 72*d**2 - 9672*d + 324818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12502213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7409 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b + 15. Let u(y) = -y**3 + 4*y**2 - y - 4. Let s be u(b). Let 2 - 3 + 3 + 4*i + 2*i**s = 0. Calculate i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/((-280)\/340) + -29. Let k(v) = v**3 + 12*v**2 - 8*v + 2. Give k(m).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 - 5*a**2 + 7*a - 4. Let d(o) = -o**3 - o**2 + o + 2. Calculate 5*d(l) - u(l).\nAnswer: -7*l**3 - 2*l + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11505227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90528)\/(-3444) - 16\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + -1)\/4 + 56. Let r = -33 + q. Calculate the remainder when 41 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Let k = 9 + -36. Let d = k + 27.2. What is the closest to -1 in l, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 17 (b) -1\/12 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3468 + 2649 = 117*n. Put 5, -51, -3, n in descending order.\nAnswer: 5, -3, n, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15231994 to the nearest integer?\nAnswer: 3903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5365467?\nAnswer: 3, 19, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-6))\/((-3)\/9). Suppose 926*k - 323 = 943*k. Sort k, -1\/4, q in decreasing order.\nAnswer: -1\/4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 9 - 2)*(-2*c + 3*c + 0*c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 14402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13*(-3 + 2) - 0\/(-13). Let z(b) = -4*b + 32. Is z(u) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, p: 4, k: 6, r: 1}. What is prob of picking 1 r, 1 y, and 2 p?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-2\/13))**(-4\/11) assuming f is positive.\nAnswer: f**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -7 + 1 - (4 + 9 + -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-51)\/15 + (-4)\/(-10). Let t be 3*a*4\/(-18). Is t smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3432 + 3437. Suppose 3*h + 2 + 1 = 0. Let j = 0.1 + 0.4. Sort j, t, h.\nAnswer: h, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36528, 36486, 36444, 36402, 36360, 36318?\nAnswer: 36276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + w + 10. Let z be y(4). Let o be ((-3)\/(5 + z))\/(2\/(-6)). Solve -6\/7*n**o + 0 + 8\/7*n - 2\/7*n**5 - 8\/7*n**2 + 8\/7*n**4 = 0 for n.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*d - 5*d. Let p be 8\/((-40)\/d) + 35\/(-1). Is 19 a factor of 1\/(-4) + (-5896)\/p + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2087063, -2087057, -2087051, -2087045, -2087039, -2087033?\n\"Answer: 6*m - 2087069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*o**4 - 5*o**3 - 4420*o**2 + 86*o + 24629?\nAnswer: -84*o**2 - 30*o - 8840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 + 0)*((0 + 2*f**3 + 0)*(2 - 2 - f) - 2*f**4 + f**3 - f**3 - f + f - f**4 - 55*f**4 - 35*f**4 - 6*f**4).\nAnswer: -505*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t + 0 + 0. Let r(n) be the first derivative of n**5\/20 - 23*n**3\/3 + n + 84. Let g(d) be the third derivative of r(d). Determine v(g(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.25 - -4. Let s = -3.5 + 2.75. Let j = c - s. Round j to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 0*h + 290 = -5*h, 3*v = 5*h + 174. Let r = v + -12. List the prime factors of r.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1487585 is divided by 74379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 4, -9, -1, 40 in decreasing order.\nAnswer: 40, 4, -1, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136.4391431 rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x. Let p(n) be the first derivative of n**2 + 342 - 8*n**2 - 11*n**2 - 48. Calculate p(a(z)).\nAnswer: 72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1135308*c - 556252.\nAnswer: 1135308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021 (base 8) in base 4?\nAnswer: -20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (3 + (136 - -3))*(0 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let g(p) = 171*p - 185. Let z(d) = 69*d - 93. Let f(c) = -2*g(c) + 5*z(c). Give f(s(y)).\nAnswer: -6*y**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 95*r**2 - 187*r + 71. Calculate s(93).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -49*k**2 + 88*k - 461. What is d(6)?\nAnswer: -1697","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a meter?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 298 and -286391800681.\nAnswer: -286391800383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(60\/4)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 63.63. Let r = 0.07 + p. Let x(g) = 4*g**2 + 17*g - 14. Let j be x(-5). Sort r, -2\/3, j in increasing order.\nAnswer: -2\/3, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10503 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyykyykkkyyy. What is prob of picking 2 y?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 10340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s = -456*s - 318*s + 618 + 4625 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29834791607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 10. Let r = p + 9. Find d such that 12*d + 5 + 0 + 12*d**2 - r + 3*d**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7c9 + 99?\nAnswer: -730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -674 (base 13) to base 4\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 1\/2*u**4 - 2*u**3 + 2*u**2 + 0*u + 44. Factor m(s).\nAnswer: 2*s*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961503282?\nAnswer: 2, 3, 53416849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111001 (base 2) to base 14.\nAnswer: 2c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15)\/y**(-12))\/(y**(-5)*y**8) assuming y is positive.\nAnswer: y**(133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 5 (b) -5 (c) 6 (d) 54.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24*16\/(-84) + 3\/(-7). Let t(v) = -v**2 - 4*v + 7. Let u be t(r). Is -0.8 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/6)\/((-1)\/(-3)). Let x be (-4)\/m - (-24)\/10. Let o(h) = -1 - 2 + 0*h + x*h. Determine o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 30*a + 825 = 0. Calculate the highest common divisor of a and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5971 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000111 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-77)\/7 - 1) + 15. Solve 2*k - 3 = 5*k + 3*v, 27 = c*k - 3*v for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from {i: 1, n: 1, k: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 5*m = -1. Suppose -5*u + m + 5 = 3*v, 2*u = v + 9. Let z = -173 + 178. Solve -6*a = -u*w - a - 14, -z*a = -4*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*b - 0 + 2, 1 = -b - r. Suppose -5*f - 4*v - 226 = 0, -b*f - 146 = v + 4*v. Let w = 82 + f. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/42)\/(-3))\/(57\/(-456)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 49259000 to the nearest one hundred thousand.\nAnswer: 49300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -56. Let v be t\/5*(-77)\/4. What is the units digit of 20\/7*v\/22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2330, 2933, 3658, 4511, 5498, 6625?\n\"Answer: r**3 + 55*r**2 + 431*r + 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6 = -2*l, l - 2 = -3*y + 1. Suppose -22 = 4*p + 3*q, 18 = -2*p + 8*q - 13*q. What is the nearest to -1\/6 in y, 2, -1\/6, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 250470 and 2990?\nAnswer: 3256110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(u + 0*u - 2*u) + 26*u - 6*u + 2*u + (0*u + 5*u - 3*u)*(0 - 4 + 3).\nAnswer: 19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-6)*(2 + (-6631)\/(-4)). Let b = 1127 - y. Find the common denominator of b and 59\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 3*c - 8*c - o, -3*o + 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 5*i - 3. Let h be n(-4). Suppose -h*g - 404 = -29*g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 380*d + 740.\nAnswer: 5*(d + 2)*(d + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 93*v + 4068. Is m(-26) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*n, 3*b + 3*n - n + 777 = 0. Let g = 256 + b. What is the third smallest value in -4, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*x**2 - 778*x**2 + 1565*x**2.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4, 78411158, 5, -0.4 in decreasing order.\nAnswer: 78411158, 5, -0.2, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/5)\/(10\/(500\/15)). Solve -5*o = -5*i + 23 + m, -1 = 2*o + i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 11:44 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:28 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/104)\/(1\/(-1)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 6*f = -d + 4, 0 = -2*d - 4*f + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*z + z - 2*z)*(2 - 1 + 0)*((0*z - 3*z + 2*z)*(-3 + 1 + 3) - z + 0 + 0)*(0*z - z + 3*z).\nAnswer: -124*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 2*m - 4. Let o be w(0). Sort o, -7, -5 in descending order.\nAnswer: o, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 11*t**8\/28 + 4*t**4\/3 - 7*t - 24. Let a(z) be the first derivative of c(z). What is the third derivative of a(y) wrt y?\nAnswer: 2640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216476?\nAnswer: 2, 13, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -1) + 3 + -1 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 661*f - 3235 with respect to f.\nAnswer: 661","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20466686 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c - 22. Suppose 19*x - 52 = -7*x. Let v be i(x). Sort 1, -2, v, 2.\nAnswer: -2, 1, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15477, 30941, 46405, 61869?\n\"Answer: 15464*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.9 + -8.4. Put -2\/7, -1, 0.1, l in increasing order.\nAnswer: -1, l, -2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 35*k**2 - 36*k - 47. Suppose 164 = -3*o + 5*o. What is the remainder when o is divided by q(-34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109.2 - -130. Let h = 21 - g. Let x be (-444)\/13 + (-4)\/(-26). Put -0.1, h, x in descending order.\nAnswer: h, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 2, -0.2, -5, -32785.\nAnswer: -32785, -5, -0.2, 2, 2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/(-3) + (-60)\/36. Solve 1 = 3*t - 0*i - x*i, -3*i = t - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-153))\/((-20)\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 107, -2 in descending order.\nAnswer: 107, 10, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7055*q*s**3 + 9*q*s + 8985549*q - 3*s wrt s.\nAnswer: 21165*q*s**2 + 9*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1011110101?\nAnswer: 1011111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -35*n**3 + 6*n**2 - 29*n + 6. Let m(a) = -36*a**3 + 5*a**2 - 30*a + 5. Let v(l) = -5*h(l) + 6*m(l). Find the second derivative of v(b) wrt b.\nAnswer: -246*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**4 - c**2 + 2*c**2 + 2 + c**2 - 3*c - 7*c**3 + 4*c in the form o + x*c + n*c**3 + i*c**4 + k*c**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45795563017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 9*c**2 - 10*c**2 - c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(35))\/sqrt(5)*5.\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 577 + 131 = -61*d + 26*d + 47*d for d.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.82 + 0.70795631?\nAnswer: 11.52795631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17958188*r**2*u**3 + 13*r*u**3 + 3177022*u wrt r.\nAnswer: -35916376*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-90) - 32\/(-18). Let p = q + 1. Let x(y) = 8*y - 4*y - y - p. Calculate x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -69. Is o smaller than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*z - 59*z + 10 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 7}. What is prob of picking 1 m and 1 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -3375?\nAnswer: -16\/3375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6953\/2440 - 1\/2440. What is the common denominator of o and (-61)\/(576\/22 + 6\/(-33))?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 727*k - 723*k + 125164008 = 0, b + 4*k - 31290992 = 0. Round b to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + -11. Let d(f) = 91*f - 2. Let u(o) = -182*o + 3. Let x(q) = 5*d(q) + 3*u(q). Let v be x(b). Round v to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 3 + -1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 11 = j, -4*j + 3*q + 16 = 5*q. Solve -j*x = 2*y - 43 + 34, -x + 18 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.787447 * -3.\nAnswer: -92.362341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.031 - 15.531. Round r to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.04 - 2. Let s = q + 7.96. Let g = s + -8. Which is the biggest value? (a) -0.2 (b) -0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r**2*w - 10*r**2 - 1776*r*w + 4*r + 3*w + 13 wrt w.\nAnswer: -2*r**2 - 1776*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690935 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*1 - (sqrt(98) - -1*sqrt(98))\/sqrt(7))\/(5*-2*sqrt(2)*5).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3208 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 r = 1985 + -2583.2. Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 11*w + 14. Let q be c(-10). Let d be -1 + (9 - q)*2. What is the greatest common factor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -0.2 (c) -3\/8 (d) 14 (e) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 25 (b) -0.8 (c) 3 (d) -1\/15 (e) 0.059\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*x**3 + 303425*x**2 + 428*x - 146?\nAnswer: 12*x + 606850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -87*h - 21. Let d(u) = 98*u + 22. What is -6*d(y) - 7*n(y)?\nAnswer: 21*y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -434497 and 0.1.\nAnswer: -434496.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -481, -1944, -4383, -7798, -12189, -17556, -23899?\n\"Answer: -488*i**2 + i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 131138441, 131138442, 131138443, 131138444, 131138445?\n\"Answer: n + 131138440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 6)*(-1 + 0 + 0)*(-22*t + 167*t + 25*t).\nAnswer: 1870*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-41 + 1701\/42)\/(-3 - (-130)\/44)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 + 10 + -3 - (0 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*j**3 - 746*j**2 + 320*j**2 + 381*j**2)*(-3 - 2 + j + 3).\nAnswer: -6*j**4 - 33*j**3 + 90*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63400 = 10*n - 63340 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5*(-152)\/80).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/1665 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -157550352160.\nAnswer: -157550352160.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95373?\nAnswer: 3, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 81515 divided by 685\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**7\/126 + 2*n**6\/45 - n**5\/12 + n**4\/18 + 7*n. Determine g, given that f(g) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/11)*z*z**(-12))\/(z**(-10\/7)\/z**(5\/8)) assuming z is positive.\nAnswer: z**(-5063\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + -0.3. What is the closest to -0.1 in c, 0.01, -3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -25. Suppose k = 5*h, 5*l + h + 3*h = 289. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/25))**(-1\/11)\/(q*q**(7\/4)*q)**17 assuming q is positive.\nAnswer: q**(-70133\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Let u(t) = -7*t - 3 + 10 - 7 - 6. Suppose y - 17 = w, 2*w - 3*y + 15 = w. Let o = w - -13. Determine o*q(n) - u(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7659141ml?\nAnswer: 0.0007659141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 2930. Let x(n) = -1160*n. What is g(x(l))?\nAnswer: -2320*l - 2930","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 3 + -3 - -106. Let x(r) = 9*r - 7. Let t be x(9). Let p = c - t. Solve -4*y + 3*g - p = 0, 0*y + 2*y - g = -15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x + 51*x = -8, -2*u = -5*x + 24 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 7:17 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express ((10 + 0 - 21)*(-4 + 2 + 0) + 4 - 4 - 2)*(d - 3*d + 0*d) as y*d + j and give y.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -2*l, -l + 21 = -3*x + 6. Solve z + l*a = -4, 4*a = -2*z - 1 - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {p: 1, v: 5, w: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*r + 49*r - 522. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 725\/48 (c) -0.3 (d) -6894\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-2))\/((-2)\/(-4)). Let f(r) = r**3 + 4*r**2 + 2. Let y be f(g). Is y less than or equal to 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 - 1 + 2 - 3*r**4 - 3*r + 0*r + 4*r**2 - 2*r**3 + 4*r**4 as p*r + n + o*r**3 + m*r**4 + c*r**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 788227 divided by -1.\nAnswer: -788227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6499305l?\nAnswer: 649.9305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -59920, -59969, -60018?\n\"Answer: -49*i - 59871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 2049, 6287, 14207, 26955, 45677?\nAnswer: 71519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(11\/6)*b*b)\/b)\/b*b**(-23)*(b**4)**(11\/3))**(13\/4) assuming b is positive.\nAnswer: b**(-169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18860 + -18897. Which is the third smallest value? (a) 3 (b) 0.4 (c) 0.3 (d) n (e) -4.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 164 = -178 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278459 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -665*c + 7441 = -4521 - 3333 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -600 + 5371\/9. Let f = -2\/2385 + 43411\/4770. Find the common denominator of f and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.21898 + -0.01102. Let o = -8.13 + 4.9. Let k = u - o. Which is the second biggest value? (a) 3.3 (b) 0.5 (c) -1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3*g - 1, 5*r + 2*g = 2. Suppose r = -5*m + 3*k + 335, 0*k + 153 = 2*m - 5*k. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*u - 38 - 14, -21 = -4*h - 3*u. Suppose 25*c - 578 = -9*c. What is the remainder when c is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3 - 3*j + 3*j**3 + j**5 + 6*j**2 - 4*j**5 - 2*j**3 - 3*j**4 + 5*j**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -46, -59, -70, -79?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58873378.\nAnswer: 2, 2459, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**3 - 4*d**2 - 5*d - 4. Let p(y) = -3*y**3 - 5*y**2 - 6*y - 4. Let a(x) = 7*p(x) - 6*z(x). Factor a(s).\nAnswer: -(s + 1)*(s + 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d + 3. Let z(s) = 7*s + 4. Determine 5*m(p) - 2*z(p).\nAnswer: p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3355 - 102cb?\nAnswer: -9c76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107533156.5 nanoseconds in weeks?\nAnswer: 0.00000017779953125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 268.55+3877.9934\nAnswer: 4146.5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612.2883km to millimeters.\nAnswer: 612288300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -693*n**2. Let i(t) = 1064515*t. What is k(i(q))?\nAnswer: -785302184360925*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 54100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 12*u + 4. Let k(l) = -3*l**2 - 11*l - 5. Let d(y) = -4*k(y) - 5*o(y). Let x(t) = t**2. Give x(d(p)).\nAnswer: 9*p**4 + 96*p**3 + 256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(-1) + -6 + 865. Which is the second smallest value? (a) 4 (b) 0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 3 + x**2 + x - 24*x**4 - 1343*x**3 + 1345*x**3 to u*x**3 + k*x + w*x**4 + c*x**2 + q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 1)*3\/(-2). Let h(r) = -4*r - 7. Let s(z) = -z - 1. Let w(p) = -h(p) + 3*s(p). Determine w(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - x - 9. Let z be s(0). Let i(k) = 10*k**2 + 8 + k**3 + 2027770*k - 2027761*k + 2. What is the units digit of i(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 184*h + 48316 - 47948. Let m(a) = 14*a**3 + 23*a**2 - 17*a + 23. Let u(r) = -5*r**3 - 8*r**2 + 6*r - 8. Let w(i) = 6*m(i) + 17*u(i). Calculate w(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 216, 220, 226, 234, 244?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - 93. Let g = v + 1197. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1378.\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 2*u - 45, 5*u = t + 9. Let s(a) = 12*a + 108. Let b be s(t). Let o(z) = z**2 - 4*z + 4. Let v be o(3). Solve b = -2*h - 7 - v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 351918 - 13726979\/39. Let q = -167\/3 - p. Sort 0.8, 0.3, q.\nAnswer: q, 0.3, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 - 1826165 + 1826165.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 94.9 * 0.02\nAnswer: 1.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45080432 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/24 + 7*u**3\/6 - u**2. Let r be g(9). Let j = -59 + 415\/7. What is the nearest to r in 0, -0.4, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2101 - 12521\/6. What is the common denominator of 201\/972 - ((-1)\/4 + 0) and h?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.3 (c) -3\/8 (d) 0.5 (e) -29.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675 - 675 - 202*j**3 + 244*j**3.\nAnswer: 42*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 12:01 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 13*s + 38 = 6*s - 15*s, -q - 8 = -9*s for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 50*v**2 - 25*v**2.\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-10 - (0 + -11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 395.1971 litres?\nAnswer: 395197.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/18)\/(-1) - 1\/(-12). Which is the smallest value? (a) 1 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 309005 by -2198.\nAnswer: -309005\/2198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1691*g + 1689*g - 22 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*w**4 + 40*w**4 + 7 + 12 - 2*w**4 + 0*w**4 + 0*w**4 + (2*w + w - 5*w)*(5*w**3 + w**3 - 5*w**3) - 3 - 5*w**4 + 3.\nAnswer: -12*w**4 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1690 and 47415485.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90486.\nAnswer: 2, 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 10, 12 in increasing order.\nAnswer: 0, 4, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4496268?\nAnswer: 2, 3, 7, 53527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006096 to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/4)*j\/(j**(2\/9)*j)*j**(-1\/4)\/(j*((j**(-2\/15)\/j)\/j*j)\/j)*((j\/j**(-1\/3))**(-2\/29))**33 assuming j is positive.\nAnswer: j**(-4237\/2610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**5 + 14*i - 2 + 2 - 4*i wrt i.\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -14261678 and -14261681 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 853 - 856. Which is greater: 19.2 or c?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + 19 - (1 - -6)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 2\/9, -2\/21, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.8 (b) -0.1 (c) 9\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 37. Let l = -206\/5 + p. Which is the closest to 1? (a) 0.5 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -643, -645, -647, -649, -651?\n\"Answer: -2*r - 641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -2. Let y = 0.0858 + -0.0158. What is the closest to y in -0.1, c, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/4 + (486\/(-24) - -20)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*b - 10, -4 - 10 = -3*b + 5*w. Let j(n) = 0 + 1 + 2*n**3 - 2*n**2 - b*n + 4*n - 3*n**3. Suppose -10*i - 5*i = 15. Calculate j(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1006)\/(-3))\/(-2*(-3)\/(-27)). Let a = -543 - m. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2 + 1 - 2*u + 13*u. Let f be w(-2). Let p = f - -28. Solve 3*m + 28 = 2*k + 3*k, 0 = p*k + m - 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3755*f = -3786*f + 355508. What is the greatest common divisor of 188 and f?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 = n, -n - 3*g - g - 5 = 0. Let s = -5 + n. Let h be (-1 + s)*-2 - -790002. Round h to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49253 is divided by 9850.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -5\/11, 1, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 832 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13396979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3278 and 4252?\nAnswer: 6969028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/4722438 and -31\/27709?\nAnswer: 571414998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 18\/11 (b) 0 (c) 2\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let w(b) = -b**3 + 3*b**2 + 2*b - 4. Let s be w(3). Let i(j) = j**2 + j - 1. Let k be 0 + 8\/(-44) - (-31)\/(-11). Give k*l(f) + s*i(f).\nAnswer: -f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q**2 + 3*q - 1. Suppose -j - 5 = -2*z, -2*j = 2*j - 2*z + 2. Let p(h) = h**2 - h. Let u(t) = j*w(t) + 3*p(t). Is u(1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144415615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1393?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s + 1. Let m(z) = -13*z - 46. Give -5*l(k) + m(k).\nAnswer: 2*k - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -110b5 (base 12) to base 6\nAnswer: -252345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, s: 2}. Give prob of sequence mmsm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xawgx. What is prob of picking 1 a and 2 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073573 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1559*d + 1559*d + 4*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 43533750 - -0.73\nAnswer: 43533750.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c**3 - 14*c**2 - c + 5. Calculate x(2).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 196 - 176. Is 16570\/z*(-5 + 7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665506 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/(8\/(-8))*((-1344)\/(-180))\/(-28)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 3*q, 11 = 3*q + 14 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 325*b**2 + 21272*b\/5 - 36036\/5.\nAnswer: -(b - 11)*(b - 2)*(b + 1638)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3\/2, 10141, -2, -28, 7\/5, -1, -0.1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.76668 in -0.2, -0.4, 5, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/9*-14*(-1323)\/3430?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 11) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1969.69 millennia?\nAnswer: 1969690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = m - 16, -m + 23 - 11 = 3*b. Solve 4*s - 12 = -2*l, -3*l - 3 + 11 = -b*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*y - 16*y - 6*y**4)*(21*y - y + 4*y).\nAnswer: -144*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 4*z = 4, 0 = -5*j + 3*z - 4 - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-16) + 57\/4. Suppose 0*u + 12 = -x - 3*u, 0 = -3*x + u + f. Suppose 2*z + 4*o + 14 = x*z, z + 5*o = 14. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 10. Let u be v(-7). Suppose 4*c + r - 122 = 0, -u*c + 3*r + 98 = 7*r. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 19*v + 11. Let r be j(17). Let p = r + -41. Suppose p*f - f - 3 = 0. What is the smallest common multiple of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**5 - 15*j**4 + 80*j**3 + 1400*j**2 - 6000*j + 1150. What is u in r(u) = 0?\nAnswer: -10, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-180)\/50) + 258\/84\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1787*2.27935.\nAnswer: 4073.19845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**5\/15 - 5*v**4\/12 + 2*v**3\/3 + 26. Suppose k(m) = 0. What is m?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 = 33. Let k be 68*(-1 - 0)*p. Let i = 3739\/8 - k. Calculate the common denominator of i and -39\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teetetebbt. Give prob of picking 2 e and 2 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 38*a**2 + a. Give x(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 1674. Let g(x) = 2*x. Give p(g(w)).\nAnswer: -10*w - 1674","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (60 + -13 - (-5 + 10) - 7) - 7\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - o**2 + 4*o**2)*(2*o - 2 + o + o)*(3 - 2 + 1 + 2 - 3 + 3 - 1 - 1 + 3 + (3 - 3 - 1)*(-3 + 2 + 0)) to f + g*o**3 + u*o**2 + v*o and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 1 - 1)*40\/(-120). Factor -1\/3 - 1\/3*k**5 - 1\/3*k + 2\/3*k**2 - 1\/3*k**4 + x*k**3.\nAnswer: -(k - 1)**2*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.4796225 to two dps.\nAnswer: -37.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 380982 divided by 111?\nAnswer: 126994\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - -27. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46 + -26. Let d be (-2)\/(-4) - (0 - 1346\/w). Let s = 6431\/95 - d. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v - 2. Let b(d) = 46*d + 10. Let w(c) = c**3 + 7*c**2 + 5*c + 14. Let o be w(0). Calculate o*m(j) + 3*b(j).\nAnswer: 12*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -29*j**4 + 45*j**3 + 17*j**2 - 145. Let r(b) = 8*b**4 - 11*b**3 - 4*b**2 + 36. Let p(z) = -9*r(z) - 2*x(z). Find the third derivative of p(u) wrt u.\nAnswer: -336*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1613*k + 11294. What is n(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 43900.\nAnswer: 395100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**3 + 4776*c**2 + 8587761*c + 2788928982 = 0 for c.\nAnswer: -581, 2754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(7*(-210)\/(-392))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1e (base 15) to base 16\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 14*c**2 - 23*c - 13. Calculate u(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 3*p**2 - p + 176. Suppose 96 = -2*g + 96. What is the units digit of a(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199 and 1553195.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 - -1?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 5*a + 49 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15368 is divided by 109.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6849 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1241 - -3504112?\nAnswer: 3505353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**10\/30240 + l**8\/3360 - l**6\/720 - l**4\/12 + 8*l. Let q(p) be the third derivative of b(p). Factor q(j).\nAnswer: -j*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*8.3.\nAnswer: -3.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*s - 57 = 0, 3*s + 3 = -0. Let d(z) = 10*z + h - 29 - 23. What are the prime factors of d(10)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18345252.\nAnswer: 2, 3, 1528771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**3 + 13705*t**2 - 13705*t**2.\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h - 1)*((-1 - 1 + 1)*(-5*h**4 + 0*h**4 + 4*h**4) + (2*h**2 + h**2 - h**2)*(-2*h + 2*h - 2*h**2) + 3*h**4 - 8*h**4 + 2*h**4).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5466, 5468, 5472, 5478, 5486?\nAnswer: 5496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1\/3, -25 in decreasing order.\nAnswer: 4, 1, -1\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -22*w + 19*w - 5*q, -w + 4*q = -23. Suppose -w*l - 136 + 850 = 0. Let g = 18 - -16. Calculate the highest common divisor of g and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -68*a - 427. What is the remainder when r(-9) is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -19) + (-10 - -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 7*g**2 + 2*g - 1. Let i(t) = -100*t**2 - 42*t + 14. Determine 70*b(m) + 5*i(m).\nAnswer: -10*m**2 - 70*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 9*v**2 - 9*v + 13. Calculate the least common multiple of (-117)\/(-5) + 18\/30 and j(-8).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3964\/6651 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/((d*d*d*(d*(d\/(d\/d**(-23))*d)\/d*d)\/d)\/d))\/d)*d\/(d**(-3\/11)*d)*d)**(-45) assuming d is positive.\nAnswer: d**(8775\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 - -203. Which is the nearest to -3? (a) -4 (b) -1\/2 (c) v (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141235 = -0*g - 6*g + 141205 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17497875 a multiple of 927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98256 is divided by 4466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57653196 smaller than 57653200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8313152 to the power of 1\/2, to the nearest integer?\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 503934741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n**2 - 2*n + 8. Let v(c) = 7*c**2 + 3*c - 14. Let o(z) = -7*l(z) - 4*v(z). Let g(b) = 3*b. Calculate o(g(s)).\nAnswer: -63*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**2 - 20015*p - 216057550 = 0. Calculate p.\nAnswer: -4870, 8873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38407?\nAnswer: 193, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/2)\/((-95)\/(-266)))\/((-2)\/(-40)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/152 and -97\/192.\nAnswer: 3648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -138 + 139 + (5 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + ((-18)\/(-6))\/3 + 1645. Let d(f) = -739*f + 1. Let a be d(1). Let x = k + a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -350655651?\nAnswer: -350655654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-23 + (7 - (-7 + 12)))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35045822 - -4?\nAnswer: -35045818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q - 16. Let i = -12 - q. Sort 17, -1, i in ascending order.\nAnswer: i, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82 - -82. Suppose -u + 3*g + 73 = v, u = -g - 14 + 95. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -245237\/15965454 - -31\/1986. Let c = 892349\/80390 - q. Calculate the common denominator of 79\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 o when three letters picked without replacement from {t: 2, o: 5, r: 2, q: 4}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 16. Suppose 0 = 4*b + r - 3351. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 0.1, 0.4, -143, 0.6, 0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5*y = -13*j + 14*j - 45, 0 = j + y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 31 = -5*n, 0*n - 3 = -3*r + 5*n. Let y(g) = -14*g**2 + 8*g. Let j(s) = -5*s**2 + 3*s. Let z(d) = r*y(d) + 11*j(d). Factor z(h).\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/20)\/((54\/(-25))\/(-27))*(-2)\/130?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*u = 18, -3*p = -4*u - u + 34. Suppose 73*v - 252*v + 716 = 0. Sort v, 1, -5, p in ascending order.\nAnswer: -5, p, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1252533.\nAnswer: 3, 417511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 3 - (-2)\/4*(-9 + 9). Which is smaller: m or 31\/98?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - -1 - (112 - 106)) + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 11, 3, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.42474 and -0.69291558.\nAnswer: -1.11765558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46\/7 + 191\/28. Which is the second biggest value? (a) -0.1 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1108508, 0, 3 in descending order.\nAnswer: 3, 0, -1108508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**3 + 2*g**3 - 2*g**3 + (2*g**2 + 3*g**2 - g**2)*(0*g + g + 5*g).\nAnswer: 22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -564.4867 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -35\/11, 2\/3, 3, -0.39, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31092, 63588, 96084, 128580?\nAnswer: 161076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f + 93. What is q(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18878937\/(-99)*6\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -9. Let w be 8\/6*(-6)\/(-2). Suppose w*r = 188 - 28. What is the remainder when r is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 times -0.025\nAnswer: -2.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 146 (b) -1.78 (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 7*u**2 - 7*u - 11. Determine t(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2*n + 8, 36914*x + 3 = 36911*x + 3*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 4*g**2 - g - 4. Let t be q(3). Let m be 24\/10*5\/t. What is the second derivative of 0*y**3 + 3*y**3 + 7*y - m*y wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5169000 rounded to the nearest 100000?\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l = -3*h - 28 - 17, 0 = -h - 5*l - 25 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 12610 and 12610 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2183 divide 24125466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006574 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + 64. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3240746 - -3?\nAnswer: -3240743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10 = -5. Suppose -36 = 2*r - y*i + 7*i, 2*i - 10 = r. Let z be 1\/(r\/6) - 0. What is the closest to -1 in 1, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((25\/10)\/(2\/4))\/((-11)\/11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.6 - -0.4. Let s = -0.378 + -0.022. What is the third biggest value in s, w, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, -224 in increasing order.\nAnswer: -224, -21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1408708 (base 9) to base 5.\nAnswer: -144232134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/(x**(-2)*x))\/x*x)\/x)**(3\/10)\/((x**(2\/13)\/x*x*x*x)\/((x\/x**(-11))\/x)))**(3\/2))**36 assuming x is positive.\nAnswer: x**(33156\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:39 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 1. Let v(k) = -k + 1. Let d(m) = v(m) - y(m). Let r(l) be the first derivative of -l**2 - 1. What is d(r(u))?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 399886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17645403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-6 + -2) - 1 - -79 - (-468 - -458)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 20, -14*r + 12*r - 10 = -5*y. Calculate the least common multiple of 2 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -19) + 6 + -3 + 3 + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 10*z + 14. Let a be u(12). Let i be 148\/28 - a\/(-35). Solve 1 = i*g - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 1. Let t(s) = -2*s**2 + 5*s - 5. Let j(z) = -5*q(z) - t(z). Let c(m) = -177 + 177 - 4*m**2. Determine j(c(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -102*b**4 + 304*b**3 - 300*b**2 + 96*b + 2.\nAnswer: -2*(b - 1)**3*(51*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9290336*y**3 + 4346514*y?\nAnswer: 55742016*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096\/110 + -15*(-22)\/726*-22?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, q: 15}. Give prob of picking 4 q.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 10, 4*p - 40 - 42 = 3*u. Let a = -44 + 99. Calculate the highest common factor of p and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667719?\nAnswer: 71, 83, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2306, -4489, -6672?\nAnswer: -8855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1290 and 377490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*63\/105)\/(-174).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/3))**(-2\/29)*x**7\/x*((x*x**6*x)\/x)\/x)**29 assuming x is positive.\nAnswer: x**(1040\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 62\/24465217?\nAnswer: 62\/24465217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -19*m**2. Let c(o) = -3093*o - 331. Determine c(x(t)).\nAnswer: 58767*t**2 - 331","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2740 + -3543. Which is the second smallest value? (a) -2 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 1*(13 - -4) - 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7566.22 less than or equal to 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*p - 0*p. Let s(o) = o**3 + 5 + 2*o**p - 2*o**3 + 2*o + 2*o**3. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 3. Let k(j) = 4*j - 6. Determine 11*b(q) - 6*k(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 244 = -14*w. Calculate the remainder when 49 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 + -2.75. Which is the closest to -6? (a) m (b) -2\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and 546.\nAnswer: 28392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*sqrt(108)*6 + 5 + sqrt(108) + 0)**2.\nAnswer: 3000*sqrt(3) + 67600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, u: 1}. What is prob of sequence sssu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*l - 0. Let c = -0.04 - 0.39. Let f = c - -0.03. What is the second smallest value in -2, l, f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 - 90 - 2*g - 47 - 3*g**2.\nAnswer: -3*g**2 - 2*g - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 f, and 1 n when three letters picked without replacement from {f: 3, j: 3, n: 2, x: 6, a: 3}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 36. Let q be k(-17). Let y(r) = 3*r**2 + r. Let b be y(-1). Suppose 5*g - 2*j = -14, -5*g - 3*j = -b*g. Sort q, -5, g in decreasing order.\nAnswer: q, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17927, 35887, 53849, 71813, 89779, 107747?\nAnswer: 125717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 5, r: 9}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -70733487?\nAnswer: -7073348.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -28854*d - 605965. Calculate w(-21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q - 21. Let v(d) = d + 9. Let o(m) = 3*i(m) + 7*v(m). Let h(f) = -4*f. Let w(l) = -12*l. Let z(r) = -8*h(r) + 3*w(r). Give z(o(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 100.576 to the nearest integer.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 times 7.9\nAnswer: 0.7268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pypp when four letters picked without replacement from {y: 1, b: 4, p: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.7 + -25. Let d = 3.314 + u. What is d rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 - 3*p**4 - 7*p**3 + 2*p**2 + 12*p**3 + 4*p**3 to the form v*p**3 + x*p**2 + s*p + t*p**4 + i and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -542, -539, -536?\n\"Answer: 3*i - 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/(-35) + -7)\/((-15)\/(-75))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/6 + 8382*x**3.\nAnswer: -x**3*(x - 50292)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 10*z**2 + 10*z + 12. Let q be u(-9). Suppose q = -k + 4*k. Calculate the remainder when 2 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -17*c**3 + 5617*c**2 + 3297*c + 4296. Determine r(331).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1676 - 38424 = 702*s + 63638 for s.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 7:45 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76938\/128255 + 3\/25651. Let j = 0.1 - 0.2. What is the closest to -2\/9 in t, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 450 and 3771.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45643191899 - -1.47.\nAnswer: -45643191897.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 555 + -413. Let h = 35 + o. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 13 = 3*v, 2*c + v - 9 = -0*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3160, -5823, -8486, -11149?\nAnswer: -13812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18.1 + 32.17. What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose -y*f + 3*f - 4881 = -5*n, 4*n + 5*f = 3909. Is n\/24 + 1\/3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 1, u: 1, n: 1, r: 1}. What is prob of picking 1 n and 1 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-72)\/42)\/(6\/15).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 177*c - 3165. Give i(-20).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/20 + q**5\/60 - q**4\/12 + q**3 - 29*q**2. What are the prime factors of b(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -103. Let z = o - -106.6. Put -14, z, 4 in decreasing order.\nAnswer: 4, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10, 10, 12, 16, 22?\n\"Answer: h**2 - 3*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 102 - 110 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/60 + n**4\/24 + n**3\/6 + 34*n**2. Let c(d) = 4*d + 2. Calculate -c(i) + 2*u(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.7? (a) -5271 (b) -3 (c) 1\/2 (d) -1750\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37*(-6)\/42 - (4 + 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*w - 3*w + 15 = 0, 4*n + 3*w - 1 = 0. Let f(v) = -v + 2. Let h be f(n). Suppose 6 = 2*r + h*s, -r + 3*s - 6 = -3*r. Solve 9 + 0 = -r*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0348152042 to four decimal places.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2 - (7 - 5)) + 15 + -28.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v - 8. Let w be s(-6). Let h(p) be the first derivative of -17*p**2 + 2*p - 674. What is the tens digit of h(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1007089+0.1\nAnswer: 1007089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130687522.\nAnswer: 2, 7, 139, 67157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -28*(-10)\/4 + 2 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/49894 and -107\/18.\nAnswer: 449046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 5\/8*c**2 - 1\/2*c - 1\/3*c**3 + 3 + 1\/16*c**4. Let s(p) = 0. Calculate p.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135049 + 135275. What is the remainder when t is divided by (-2)\/(-6) + (-137)\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.03 (b) -0.5 (c) -0.9 (d) 1.052\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 764 - 764 + 239*n in the form h + y*n and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 5*q + 1. Let o be h(-4). Let m = o + -3. Let g = -6 - -10. What is the highest common factor of m and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhphhhp. Give prob of picking 4 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*i - 4. Let l(c) = 11*c**2 - c - 1. Let b be l(i). Let n be 262\/8 - (-2)\/8. What is the greatest common factor of n and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1366688413\/1446 - 945151. Find the common denominator of p and 7\/8.\nAnswer: 5784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 5*x**2 + 5*x + 4. Let q be p(-2). Solve 20 = -q*d + 2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6606 - -10733. What are the prime factors of r?\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37841 is divided by 969?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143\/59, 5, -2 in ascending order.\nAnswer: -2, 143\/59, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(567) + -1)*4 - (sqrt(567) - (sqrt(567) - 3*sqrt(567)*-2))) + 0)**2.\nAnswer: -1440*sqrt(7) + 56764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23006665?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + c = 4, -3*c = -5*x + 36. Let m be (44\/12 - 3)*x. Suppose -m*y + i + 852 = -3*i, -629 = -3*y - 2*i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*h + 56 = -38 - 1166 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-156)\/(-208)*(-40)\/36. Suppose 0 = 2*v - 0*v - 3*i - 9, 2*i = 3*v - 11. Sort v, 0.1, 0, u in decreasing order.\nAnswer: v, 0.1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -5*q - 10, n + 3*n = 4*q - 16. Suppose -4*g = -3 - q. Let d(m) = 1 - 5*m - g. Let x(c) = 2*c. Calculate x(d(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -8 + 0 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyyy when four letters picked without replacement from yyuyyyuyyyyyuyyyyu?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c**3 - 13*c**3 - 58*c**3.\nAnswer: -128*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1158 divided by 3.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 (base 6) in base 13?\nAnswer: 23a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32848 + 52916. What are the prime factors of h?\nAnswer: 2, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/62)*a\/(a*a*a*a**(10\/3)\/a) assuming a is positive.\nAnswer: a**(-803\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 18*v**2 - 36*v - 23. Let q be o(16). Let y = 87 + q. Solve -3*z + 12 = -y*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 86, 120, 178, 260, 366, 496, 650?\n\"Answer: 12*v**2 - 2*v + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + 1717328*t + 54958592.\nAnswer: -4*(t - 429364)*(t + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from ddfxxdd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**3 - 8*n**2 + 8. Let p(z) = 7*z**3 - 5*z**2 + 5. Let u = 685 + -680. Determine u*r(m) - 8*p(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 234 + -151. Let a = -50 + h. Suppose -5*r + a = 3*w, -4*w = -5*r - 4 + 30. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/60287 and 125\/86868?\nAnswer: 275632164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26997 by 8999.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7618843337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) - (-3 + sqrt(18))**2).\nAnswer: -162 + 114*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 8*z**2 + 13*z - 17. Let h be u(9). Let v = 132 + h. Suppose 2*i = 455 - v. Round i to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1231 + -1231.00001025. What is t rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 + (-1 - 4 - -23). Suppose 3*b + 3880 = q*b. List the prime factors of b.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86*y**4 + 1558 + 19*y**4 + 5*y**3 + 93*y**3 + 46*y**4 wrt y.\nAnswer: -84*y**3 + 294*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 680*t + 14793. Calculate y(21).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53 + 271346?\nAnswer: 271421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17177 + -17157. Let r(k) = 2*k - 36. What is r(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) - (2 + sqrt(7))) + 2 - (sqrt(7)*3 + 2))*-6)**2.\nAnswer: 432*sqrt(7) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 82?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 28?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and 21713.\nAnswer: 21712.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1384 (base 9) to base 7.\nAnswer: -3025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-6)*768\/3520?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*m + 3*o + 2, 0 = -4*m - 3*o + 17. Suppose m*f - 5*f = -114. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 - 5*g**3 + 22*g**3 + 534.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -293635 and -29.\nAnswer: 8515415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4489789 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6392152307.60721 - -6392124272. Let l = i - -28075.6. Let a = -40 + l. Round a to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -386.189 + 386. Round i to 2 dps.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let f(k) = -27*k + 4. Let n(r) = 240*r - 35. Let x(u) = -35*f(u) - 4*n(u). Calculate g(x(q)).\nAnswer: -225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (0 - -9) + -4 + -9\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 28*i + 29. Let b(r) = -14*r - 15. Let m(s) = 11*b(s) + 6*l(s). Let n(f) = 9*f + 6. Let a be (2\/1 - -2)\/(11*18\/(-396)). Calculate a*n(h) + 5*m(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 789.2305 centuries?\nAnswer: 947076.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -53922*g**3 + 171*g**2 + 342*g - 342. Let i(a) = -1254*a**3 + 4*a**2 + 8*a - 8. Calculate 171*i(q) - 4*o(q).\nAnswer: 1254*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 + -66. Suppose 16 = 4*p - 2*o, -c*o = o. Suppose -18 - 52 = -7*b. Solve -p*l + b = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128944728 and 2988024.\nAnswer: 1676281464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**2 + 4*g. Let v(k) = 11*k**2 - 9*k. Suppose -3*z - 39 = -18. Determine z*d(r) - 3*v(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6581 - -6624. Solve 19*p - 14 = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o**2 - 11. Let p be z(-3). What is the units digit of (1 - -4)*p - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*v - 47 = -0*l, -2*l - 4*v + 18 = 0. Suppose -f = -p - 5*f - l, 5*p - f = 29. Let m(q) = -7*q + 5. Let y(a) = 8*a - 6. Calculate p*y(d) + 6*m(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1647 + 9368. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 11 + 84\/25*c**5 - 6*c - 5\/2*c**4 + 0*c**2 - 16\/25*c**6 + 3\/5*c**3. Factor a(b).\nAnswer: -6*b*(b - 3)*(4*b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 2, -11, -44, -103, -194, -323, -496?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 2. Suppose 0 = 2*u - 0*y + y + 13, y = m*u + 12. Let f = -0.22 + 0.62. Which is the second biggest value? (a) u (b) f (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1391.51ml to litres.\nAnswer: 1.39151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 2 - 2)*(-2*q**4 + 4*q**4 - q**4).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 413490 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3\/2 - 102*b**2 - 186*b + 792 = 0. Calculate b.\nAnswer: -66, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -711, -1163, -1615, -2067, -2519?\nAnswer: -2971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -170\/11, -2\/7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*i**4\/7 - 21*i**3 - 120*i**2\/7 + 36*i\/7.\nAnswer: -3*i*(i + 2)**2*(13*i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99 and 81.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 356 = -491 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -74167187 < -74167184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341484418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 840947.7l?\nAnswer: 840947700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2212, -4286, -6360, -8434?\nAnswer: -10508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7293 divide 2921590386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 29. Let x be 366\/f + (-6)\/8. Suppose n = 2*l + 12, -5*n - 3*l + 96 = -l. What is the highest common divisor of x and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002196 to 6 dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (-4 - (-4 + 7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 3 = 3*s. Suppose -m = s, -19 = 3*v + m + m. Which is the third biggest value? (a) -4 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 8 + (8 - 153 - -2). Are j and -130 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2, -2\/15, 17638?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -627\/5 - -125. What is the nearest to t in 0.3, 20, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.4, 4, 4\/3, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976505610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r**3 - 20*r**2 + 14*r. Let c(q) = -q**4 + 41*q**3 - 79*q**2 + 57*q. Let z(g) = -9*b(g) + 2*c(g). Factor z(n).\nAnswer: -2*n*(n - 1)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.7603t in nanograms?\nAnswer: 899760300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 - 1\/(-9). Let q = -901 + 905. Sort r, q, 1.\nAnswer: r, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -866668000 to the nearest 1000000.\nAnswer: -867000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i**2 - 3*i - 3. Let v be u(-1). Suppose 91 = 7*n - v*n. Calculate the greatest common factor of n and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*sqrt(11) + 3*sqrt(11)*3 + 1 + ((6*-3*sqrt(99))\/sqrt(9))**2.\nAnswer: 13*sqrt(11) + 3567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2646 - 1839 = -i. Let r(f) = -f - 3*f - 4488 + 2*f + i. Determine r(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*h)*(-1 + 1 + 6*h**2)*(6*h**2 + 3*h**2 + 2*h - 3*h**2).\nAnswer: -108*h**5 - 36*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h + 13. Let n be w(3). Let m be -31*n\/7 + 3\/7. Let a = m - 2. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2725688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -427, -402, -355, -280, -171, -22, 173?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 + -20. Suppose -c = -8*v + 3*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:09 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*p - 2*l + 32, -2*l = -6. Let o = 2 + p. Put 3, 5, o in decreasing order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86710009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*j**3 - j**4 - 3*j - 44*j**3 + 35*j**2 + j + 94*j**3 - 2 as b*j**4 + t*j**2 + r*j**3 + z + i*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -3*q + 3451 - 3456, q - 3 = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 23*f**2 + 18*f - 68. Is a(-17) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 3*t**2\/2 - 8. Let j(r) be the second derivative of -r**3\/3 + r. Calculate j(s(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12.98 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 25*z + 599. Give n(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110100110101001110 (base 2) to base 6.\nAnswer: -4345502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 669708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.071 - 0.329. Let y = 0.3 + l. What is the nearest to -0.06 in y, 1\/2, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**4. Let k(v) be the first derivative of -4*v**5\/5 + v**4 + 14*v**3\/3 + 4*v**2 - 2. Let n(c) = 2*k(c) + 4*p(c). Factor n(b).\nAnswer: -4*b*(b - 4)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 113, -1, -8, -5 in increasing order.\nAnswer: -8, -5, -2, -1, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4102, 3196, 1676, -464, -3230, -6628, -10664?\nAnswer: -15344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.71 - -3.8. Let q be (8\/(-18))\/(5\/(45\/(-6))). Sort b, q, -3 in decreasing order.\nAnswer: q, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 + 2*r**2 - r + 2. Let h be j(-2). Let k = h - -26. Suppose k*i = 4*i + 64. What is the remainder when i is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + l - 4. Let b be n(-4). Let r(m) = -m**3 + 8*m**2 + 136*m - 945. Let d be r(7). What is the greatest common factor of d and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 283273*p\/8 - 19917.\nAnswer: -(p - 17704)*(16*p - 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361*s + 310*s = -371*s - 15630 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjjjjfvvftqqvyq. Give prob of sequence fq.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 4*f = -13*k, 10 = -k - 2*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116*k*t*x**2 + 1658*k*x + 647238*t + x**2 wrt k.\nAnswer: -116*t*x**2 + 1658*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 384960 rounded to the nearest one thousand?\nAnswer: 385000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/3*-3 - 16. Let m = 29 + q. Calculate the lowest common multiple of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -26. Suppose -3*h - f - i*f + 11 = 0, 0 = -3*f - 3. Suppose -a = 0, a - 1 = h*p - 11. What is the least common multiple of 11 and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-71)\/(-8) + (-2)\/(-16). Find the second derivative of 24*r**2 - 7*r - 4 - g*r**2 + 4 wrt r.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**8\/28 + c**7\/70 - c**5\/20 - 5*c**4\/24 - 30*c**2 - 2. Find the third derivative of y(o) wrt o.\nAnswer: -720*o**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75297*j**6 - 1127*j**4 - 13*j**2 - 10319107*j wrt j?\nAnswer: -9035640*j**3 - 27048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 1\/6 (b) 0.06 (c) 0 (d) -4 (e) 558\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 647 + -7366?\nAnswer: -6517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 8*t**6\/15 - t**5\/15 + t**4\/12 + t**3\/3 - 4*t**2. Let q be d(3). What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47282, -47211, -47022, -46655, -46050, -45147, -43886?\n\"Answer: 10*u**3 - u**2 + 4*u - 47295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 86\/88 + 3\/(-12). Let y = -21\/44 + i. Let d(l) = l**2 + 6*l + 5. Let v be d(-6). Sort -2\/13, y, v in increasing order.\nAnswer: -2\/13, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:21 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 48812, 54037, 59262, 64487, 69712, 74937?\n\"Answer: 5225*f + 43587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 400*290*12\/(-6). Round t to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -70, -127, -202, -295, -406, -535?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -196*x - 1346*x - 1310*x + x + x - x + (0 - 5 + 2)*(-6*x + 2*x + 2*x) as u*x + l and give u.\nAnswer: -2845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 4:25 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1311*r**2 - 20*r. Let l(g) = -49162*g**2 + 752*g. What is -5*l(y) - 188*q(y)?\nAnswer: -658*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 25253*o - 151481. Determine t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 8. Let p(o) be the second derivative of -o**3\/6 - 7*o**2\/2 - 19*o. Suppose y - 14 = -3*y - 2*x, 0 = -y + x + 5. Calculate y*c(h) - 5*p(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 129855049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express o**4 - 5*o**2 + 5*o**2 + (5*o**3 + 80*o**2 - 80*o**2)*(-1801 + 1801 - 23*o) in the form u*o**4 + b*o + x*o**3 + f + r*o**2 and give u.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1476 + -1475.7. What is the nearest to q in 8, -3, -4, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 391, 584, 777, 970, 1163?\nAnswer: 1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -6 - (-14 + (2 - 1))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 5. Let n be (-8)\/16*(22 - 0). Let b be a(n). Let z(p) = -p**2 - 7*p. Determine z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 - 4*k - 1. Let y be u(5). Let r = y + -1. What is the first derivative of 7*l**2 + l**3 - 7*l**2 + 6*l**r - 3 wrt l?\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 1\/2, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/3)\/((-39)\/(-13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -29, -55, -91?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 1)*(-2 + 3 - 3)*(2*f**2 - 2*f**2 + f**2).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1474\/(-8) - 132\/176. Let f = s - -189. Solve 3*l = f*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, m: 3, w: 6, d: 7}. Give prob of sequence wwd.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 21 - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12255, -12256, -12257?\n\"Answer: -r - 12254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -789 and -794 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from oodddododoooo.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 68.3. Which is the closest to d? (a) 1 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 985 and 571694.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 5*q - 1 + 14, -2*k - 4*q = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 - 52. Let v be g\/(-65) + 59\/5. Calculate the greatest common divisor of 48 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14. Suppose z = -3*p - 705 + 105. What is p rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = -2*r, 3*c = -4*r + 37. Let x(k) = -k**2 + 2. Let f be x(0). Suppose -5*a + 24 = -a - 4*t, f*t - 6 = -4*a. Solve -c = a*h + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 59 (b) -0.11 (c) -14 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/22935 and -19\/817410?\nAnswer: 113619990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + -3 + -2)*-1. Let a be 10\/(3\/93*w). Calculate the highest common factor of 62 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 208620?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -18*y - 1. Let a(p) be the first derivative of -55*p**2\/2 - 3*p + 1. Let g(m) = 4*a(m) - 11*x(m). Is g(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:46 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -190, 5, -1\/5 in increasing order.\nAnswer: -190, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:25 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -515*x + 33439. What is v(65)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -168542 and -0.068?\nAnswer: 11460.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78105 divided by 15621.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 3)\/(4\/322). Let s = a - 56. Let c be (12 + (-57)\/5)\/(2\/50). Calculate the greatest common divisor of s and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbuugubcugububbbuuu. Give prob of picking 1 b and 1 g.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 0. Let r be 96\/(-4 + 8) + i. What is the highest common factor of 207 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6777 times 1?\nAnswer: -6777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/3264272 and 69\/20772640.\nAnswer: 228499040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 196444733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.015381 (b) -3 (c) -9\/2 (d) -0.6 (e) -1\/2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3182165*s**3 - 370532*s**2 - s wrt s.\nAnswer: 19092990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5138, -20459, -45962, -81653, -127538, -183623, -249914?\nAnswer: -326417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 112. Suppose 3*v = c*p - 126, -4*v + 2 = -3*v. What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8726*-2.\nAnswer: -17452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 283455597 to the power of 1\/2, to the nearest integer?\nAnswer: 16836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 354*j + 0*j**3 - 635*j - 2100*j - 3*j**3.\nAnswer: -3*j**3 - 2381*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -32 - (12 + (-22 - (-37 + 21))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*((-4)\/(-3))\/4. Let u be (10\/4)\/(k\/16). Suppose -3*f - 2*t + 14 = -16, -5*f - t + 50 = 0. What is the highest common factor of u and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-26) + 63\/156. Factor 1\/4*i**2 - 1\/2 - v*i.\nAnswer: (i - 2)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1\/8 (b) -10 (c) 5.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7695 and 2160.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 3:17 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -16*t - 25. Give y(-4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(60\/25))\/(4\/(-16))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18*24\/108)\/(-28*1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -449.9*899.7\nAnswer: -404775.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4*0.03\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 4*s**2 + s + 20. Calculate z(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3*y**2 - 3*r**3*y - 761*r**3 + 3166*r**2 + 2*r - 652806*y**2 with respect to y.\nAnswer: 2*r**3*y - 3*r**3 - 1305612*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/2713228 and -95\/12208.\nAnswer: 10852912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 21787500, 4, -5, -1 in descending order.\nAnswer: 21787500, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8\/9, -4, 518\/17, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*t + 14, t + 3 = -2*y - 0*y. Let p = 47906\/209 - 2526\/11. Is y greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4\/2 - 465*q**3\/2 + 10743*q**2\/2 - 9363*q\/2 - 10287 = 0. Calculate q.\nAnswer: -1, 2, 27, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**4 - o**3 - o. Let g(a) = -12*a**4 - 18*a**3 - 38*a. Let i(q) = -2*g(q) + 36*h(q). Find the second derivative of i(k) wrt k.\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 5:48 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:37 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*s + 17 = 44, -4*w - 4*s = -24. Sort w, 12, -4, -3 in increasing order.\nAnswer: -4, -3, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 14*l**2 - 13*l - 28. Let h be u(15). Suppose -h*g - 2*g = -8. What is the third derivative of 22*v**5 - 17*v**g - 6*v**2 - v**2 + v**2 wrt v?\nAnswer: 1320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 765673930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2243\/9 - 249. Let r = 0.2 - 2.2. Sort m, 4, r in ascending order.\nAnswer: r, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376 = 3*s + 2*z, 2*s - z = 333 - 94. Suppose -4 = 2*x, s = 5*v - 0*x - x. Let p = -12 + v. Solve 0*g - p = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wghh when four letters picked without replacement from wwwwhhhhwwwghwwhgww.\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/5 + 4\/5. Let q = -2260.887 + 2257. Let u = q + -0.113. Which is the nearest to -11? (a) u (b) x (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 4:16 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -111 or -112?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -41313, -42, -4 in descending order.\nAnswer: -4, -42, -41313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 204 and -42405.\nAnswer: -8650620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x - 2*x + 7*x. Suppose x = -0*n - 2*n + 4*t - 26, 0 = -4*n - 4*t - 4. Put -1, 110, n in decreasing order.\nAnswer: 110, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 - 29. Suppose -v = -7*v + k. Solve -v*n + z = -z - 16, -5*n - 5*z + 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -4. Let m = n - 2. Is 11\/(0 - 0 - m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0)\/(-10*2\/(-160)*-8). Solve -3*l - 5*b = d, -b - 10 = 5*l + 4*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k + 1. Let s(h) = -3*h - 1. Let v(n) = 2*m(n) + 5*s(n). Suppose -6*q + q - 25 = 0. Let o be v(q). Calculate the greatest common factor of 84 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 994553459 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(11) + 3 + 6*sqrt(396) + (4 + 2 + sqrt(11))**2 + sqrt(110)\/sqrt(10)*-5.\nAnswer: 46 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50 - 1410201001?\nAnswer: -1410201051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -65*w**2 - 21*w + 1. Let h(q) = -34*q**2 - 11*q + 1. What is 9*h(d) - 5*l(d)?\nAnswer: 19*d**2 + 6*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4068\/678*(98\/36)\/7?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrrgggrrr. What is prob of sequence grr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -68244 + -67\nAnswer: -68311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 155\/1231997?\nAnswer: 155\/1231997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**5\/7 + 456*j**4\/7 + 30088*j**3\/7 + 115362*j**2\/7 + 142279*j\/7 + 56550\/7 = 0. What is j?\nAnswer: -377, -75, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 48*f - 2. Let p(s) = -15179*s. Calculate l(p(m)).\nAnswer: -728592*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + -1 + 5 - (sqrt(4)\/(1*sqrt(2)))**2).\nAnswer: 5*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 600 and 16050?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 6:07 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2232 and 1296.\nAnswer: 40176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208607*k**5 - 317266*k.\nAnswer: 4172140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3343 - 566. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10741 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 138 = -2*j, -4*j + i + 264 = -3*i. Let x = j - 44. Solve -q = 3*q - x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52377 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j + 2. Let x(p) = p. Let b(w) = 15*w + 3. Let c(s) = 2*b(s) - 18*x(s). Let g(t) = -13*t - 7. Let y(l) = 4*c(l) + 3*g(l). Give 3*y(a) - 5*z(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 118779617.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-177)\/(-12))\/((-3)\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2. Let i(j) = 42*j**2 + 78*j**2 + 119*j**2. Determine i(o(x)).\nAnswer: 3824*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 53, 6, 19.42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 14*k - 9*k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/sqrt(441))**2.\nAnswer: 45\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:25 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 334\/13475 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001785 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92947181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 479 + 4?\nAnswer: 47d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2. Let t(l) be the third derivative of -415*l**4\/24 - l**2 + 221*l - 3. What is t(c(y))?\nAnswer: -415*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 < -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)\/(t\/((t**8\/t)\/t)))\/(t\/t**(5\/7)*t**(1\/2)\/t) assuming t is positive.\nAnswer: t**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sksykyykskky?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtaanzq. What is prob of picking 1 a, 1 t, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {w: 4, g: 6}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.241913223 plus 1741?\nAnswer: 1741.241913223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*u + 5, 2*r + 3 = 6*r - 3*u. Solve -5*c + 4*i + 18 = r, -3*c = 5*i - 3*i - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 65, 136, 243, 392, 589, 840?\n\"Answer: h**3 + 9*h**2 + 7*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4330430 and 4660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - l = 2*l + 19, 0 = 5*m - l - 23. Let a = -3 - -2. Let p = a + m. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - 0.43. Let o = 0.51 - 0.11. What is the third smallest value in o, -1, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/66 and -55\/174.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 145628591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/9 - 10*t\/3 - 68\/9 = 0.\nAnswer: -2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5168\/1382019 + 8489698231829\/299898123. Let c = -28309 + l. Let q = c - 1\/31. Put 0.5, q, 4 in decreasing order.\nAnswer: 4, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3320*s**2 + 224*s + 16. Let x(a) = -1107*a**2 - 70*a - 5. Let k(r) = 5*c(r) + 16*x(r). Let l(j) = -10*j**2. Give l(k(h)).\nAnswer: -12365440*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5972 times 0.22?\nAnswer: 1313.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48555135446 take away 0.26?\nAnswer: 48555135445.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 243\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73836\/(-6153))\/((-9)\/(-2)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {n: 1, c: 1, h: 2, e: 2, a: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -128243.4 - -128243. Let g = 0.4 + -0.4. What is the nearest to 0.1 in 2\/5, 0.1, g, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 221.4933 + -234.495. Round x to 1 dp.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 825*x. Let z(y) = -3*y. Calculate w(z(t)).\nAnswer: 9*t**2 - 2475*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005993 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 122132988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.345222kg?\nAnswer: 3345222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6824828 is divided by 6029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -4679226.\nAnswer: 467922.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*i**2*y**3 + i**2 + 4182*i + 16*y**4 wrt y?\nAnswer: -9*i**2*y**2 + 64*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 444\/(-8)*(-20)\/(-30)*(-11)\/66*-6\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1543\/74 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82932557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g. Let n(k) = 6*k - 8. Let f(p) = -3*c(p) - n(p). Let m(t) = -t**2 - 2*t + 2. Let s be m(-4). Is 10 a factor of f(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnap when four letters picked without replacement from {t: 1, p: 1, v: 1, m: 1, a: 2, n: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7334832, -7334846, -7334860?\n\"Answer: -14*s - 7334818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1941, 1948, 1955, 1962, 1969, 1976?\nAnswer: 1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 24*(-35)\/(-56)*(-705)\/564\nAnswer: -75\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 11*h**2. Let a(l) = 115*l + 1. Determine a(g(s)).\nAnswer: 1265*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 551*q - 6 - 3.\nAnswer: -551*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y + 142*y**2 - 4*y**3 + 1 + 6*y**3 - 145*y**2 in the form u + x*y**3 + j*y + r*y**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 634498524580?\nAnswer: 634498524579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*20\/60 + -25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 10*d - 4. Let v be l(5). Suppose 0 = -a - 4*u + 72, -2*a - 3*a - 4*u + v = 0. What is the greatest common divisor of 168 and a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1247418371 to the nearest integer?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 11) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 73.76453 decades?\nAnswer: 0.7376453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-396))\/((-11)\/(-132))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1342)\/(-17446))\/(2\/1872)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23261 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/53 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*n + 32 = 6, 0 = -3*c + 4*n + 36. Put 0, 1043, c in decreasing order.\nAnswer: 1043, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -8 + 3)*(-10)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-2)\/((-4)\/1)). Let k = 1245 + -1249. Put 8, q, k, -1 in decreasing order.\nAnswer: 8, q, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5317296 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*sqrt(132) - sqrt(132)) - sqrt(132))\/(sqrt(36)\/(sqrt(3) + sqrt(27) - sqrt(3))).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 >= 2289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 41*m - 7. Let v be q(-2). Let g = v + 625\/7. What is the closest to 1\/2 in 0.6, g, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -3*d + 10, 50 = 5*c - 7*d + 2*d for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 + -34. What is the greatest common divisor of c and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199*g**3 + 70385*g**2 - g - 34320325 with respect to g.\nAnswer: -597*g**2 + 140770*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 34*t**2 + 3*t + 104. Let z be m(-34). Suppose 0 = -b + z*d - 0*d + 15, 0 = -4*b - 4*d. Suppose -5*p = 4 - 64. Solve -b*o + p = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 8:57 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/20 and -91\/272848?\nAnswer: 1364240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 42. Let d be f + (-200)\/35 + (1 - -2). What is the third biggest value in d, 2, -4\/5, -2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 1) + (-26 - -37) + -5 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9682 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -123*l + 128*l - 29, -3*t = 5*l - 19 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2605*g**5 - 2*g**2 - 454*g wrt g.\nAnswer: 156300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372776785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 9*r - 26. Let w be b(10). Let l be (1*(-3)\/(-24))\/((-52)\/w). Which is bigger: 1\/4 or l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 335750 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (5 + -21 - (1 + -8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -438 - -408. Let w(q) = -q**2 - 30*q + 4. Calculate the least common multiple of w(n) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 7:08 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -0.4 (c) 0.3 (d) 261 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + 2.13. Let a = 0.8 - n. What is a rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2491*b**2 + 11*b + 52. Let m(l) = 623*l**2 - 3*l - 13. Calculate 11*m(y) + 3*v(y).\nAnswer: -620*y**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/6*((-14)\/5)\/7. Let q(o) = -2*o**3 - 4*o**2 + 4*o - 3. Let i be q(-4). Factor 27*j + 3 - 43*j**3 - 3*j**4 - i*j**2 + 64*j**t - 3.\nAnswer: -3*j*(j - 3)**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5 - 16*g - 7*g**2 + 17*g - 4 + g**2 + g**3 - 4. Determine z(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4378, 4380, 4382, 4384, 4386, 4388?\n\"Answer: 2*h + 4376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.89458ng in kilograms?\nAnswer: 0.00000000008589458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**8\/168 - d**6\/30 + d**4\/12 - 3*d**2\/2 - d. Let o(k) be the first derivative of s(k). Factor o(a).\nAnswer: 2*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26, 56, 134, 284, 530, 896?\n\"Answer: 4*t**3 + 2*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1551*q - 247. Is l(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2508282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 6 = 4*h. Suppose -p = 4 - h. Sort -5, p, -3\/7 in decreasing order.\nAnswer: -3\/7, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 14*x - 15*x. Let t be (4\/(-7))\/(x\/(-21)). Let 10 + 4*s + 31*s**t + 16*s - 26*s**2 + 10 = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in 1\/5, 2\/15, 12\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 774419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22*((-33)\/6)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, 1, -6, 1743 in decreasing order.\nAnswer: 1743, 3, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367 - 352. Sort i, -1\/2, 2 in decreasing order.\nAnswer: i, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iaexyze. What is prob of sequence ezy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/107 (b) 148 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.688 + 28401.\nAnswer: 28400.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*p + 3249 + 114*p - 3308 wrt p.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/3)\/(2 + 0). Suppose 5*f = -h + 5. What is the lowest common multiple of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*v + 228717 = -1277351. What are the prime factors of v?\nAnswer: 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -709225 (c) -6 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 2*r. Suppose -3*u = 2*u. Suppose 3*c + 5*a - 9 = u, 0 = -2*c + 6*c - 3*a - 41. Is r less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13232848 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 879 - 884. What is the third smallest value in t, 2\/9, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/14432 and -85\/2.\nAnswer: 14432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*g = -11, 2*o = 3*g - 2*g - 7. Let a be o + (1 - 1) + -5. Let u = a + 8. Solve -v = -u*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.600024 + -6.6. What is m rounded to 6 dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**6\/40 - 9*s**5\/80 - s**4\/8 - 2*s + 8. Let r(x) be the first derivative of k(x). Find g such that r(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -81 + 85. Let b be 44\/66*(t - 2\/(-4)). Factor -2 + b - 3*u**2 - u**3 + 2 + 3.\nAnswer: -(u - 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46822228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 492, 523, 580, 675, 820, 1027, 1308?\n\"Answer: 2*g**3 + g**2 + 14*g + 475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 + 198 = -9*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 3:42 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + 2. Suppose -t*z - 2*f + 40 = 0, 4*z + 5*f = -z + 75. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094 + 16*z + 14068 + 7*z - 272.\nAnswer: 23*z + 15890","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169390764.\nAnswer: 2, 3, 522811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -255 + 161. Let j = b - -142. Let h(m) = m**3 + 8*m**2 + 6*m - 4. Let z be h(-6). Calculate the highest common factor of z and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5197869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = 6 - 18. Suppose c + 1 = -4*w - 0*c, -4*c - 4 = z*w. Let n be 4 - (0 + (-9)\/(-3)). Sort 4, w, n in decreasing order.\nAnswer: 4, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8631597*p**4 - 1273198?\nAnswer: -34526388*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:38 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -29*n**7\/21 + 92*n**4\/3 - 3*n**2 + 117*n. Find the second derivative of x(i) wrt i.\nAnswer: -3480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d - 16270 = -5*t, 3*t + d - 9778 = 0. Suppose 3*j = 1575 + t. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4689 + 1611 + 1583 + 1495 + 6*n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.01 + 140.51. Let v = u - 128. Round v to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2081 - 2046. Let c(m) = 3*m**2 - 104*m - 38. Determine c(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 30*y - 30*y + (y**2 + y**2 - 5*y**2)*(19 - 43 - 46) as s*y + t + x*y**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 162*i**2 - 937*i - 183. Calculate y(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-91)\/(-6) - 3\/18. Let h = s + -10. Suppose -h*c + 4*c + 11 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -531\/11 less than or equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 + -3)*(-14)\/4. Let b(q) = -3*q**2 + 4. Let c be b(3). Let i = c + u. 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 -4*w = -2*t - 8, 3*w + 7*t + 7 = 2*t. Which is the nearest to w? (a) -38 (b) -0.6 (c) 5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2557970*a - 230907 wrt a?\nAnswer: -2557970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 71519420 and 60287?\nAnswer: 1358868980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 8*i**2 + i + 10. Let f be q(8). Suppose -c + f = 2*c. What is the smallest common multiple of 10 and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 + 3*a**2 - 2*a**2)*((-2 + 4 - 1)*(-1 + 3 + 1)*(6*a + 0*a - 4*a) + (a - 4*a + 2*a)*(3 - 2 + 0)) in the form v + o*a**2 + g*a + b*a**3 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*r + 12, r - 13 = -5*j + 3*j. Suppose 2*c = -p - 0*c - 5, j*p - c = -2. Suppose 0 = -2*n - 0*n. Which is greater: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**2 - 1. Let x be -14*(0 - 8\/14). Let c be (2 - (x - 4)) + 3. Determine u(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y - 3. Let u be 6\/2 - y\/(-3). Solve 3*p + 5*m - u*m - 4 = 0, 0 = 2*p + 5*m + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 4:18 AM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7 + 0 - 5*h**2 + 4*h**2 + 8*h + 0. Let p(f) = 44*f + 182. Let c be p(-4). What is q(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/24*12\/10. Let k(b) = 7*b**2 - 4. Let l = -40 + 61. Let h = l + -25. Let p(y) = -6*y**2 + 3. Calculate h*p(r) + z*k(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*d + 0*d = 103, 9*d + 2*d - 152 + 438 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-4) - (-2)\/4. Let d = -6 + i. Let o(z) = -4*z**2. Let j be o(d). Let w(k) = -k**3 - 3*k**2 + 3*k + 1. What is w(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 494 + -491. Let a be (5\/((-10)\/(-8)))\/1. Solve 0 = -f*m + 7*m - a*t + 28, m = -t - 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**7\/840 + d**6\/360 + d**3\/6 + d**2. Let y(z) be the first derivative of a(z). What is the third derivative of y(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21037000 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 91, -14, 378.\nAnswer: -17, -14, 91, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1165 - 1160. Sort 3, -2\/603, w in ascending order.\nAnswer: -2\/603, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -182, -328, -436, -488, -466, -352, -128?\n\"Answer: 3*u**3 + u**2 - 170*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6526a (base 12) to base 9\nAnswer: 223021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27115*w**3 - 27115*w**3 - 27116*w**3 + 81351*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 295726 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14316640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 68, 26, -1120.\nAnswer: -1120, 1, 26, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 19. Suppose v = 3*w + 17, 3*w - 40 = -5*v + 117. Let y(j) = v*j + 25*j - 52*j. Let l(s) = -8*s. Give q*y(z) - 2*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757661 is divided by 1252?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 44. Let l = 57\/4 - j. Factor -1 - l*o**2 - o.\nAnswer: -(o + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*y - 13362 = 348 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 416, -7585, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5159826279\/14435248 - 777870\/2143. Let d be 9114\/10104 + 3\/(-4). Let g = d - k. What is the common denominator of 89\/18 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 6942829\nAnswer: 7\/6942829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 10*u**2 + 9*u - 13. What is f(9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217376561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 + 171 = t. Is t a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-15)*40\/(-16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 93431*g**3 - 913*g**2 + 2*g + 24 wrt g?\nAnswer: 560586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.027 - -2.027. Let w = 0.06 - -0.04. Which is the nearest to w? (a) 5 (b) y (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468919.\nAnswer: 11, 47, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 3*a + a + (0*a + 2*a - 4*a)*(2 - 1 - 2) + (17 + 18 - 6)*(2 - 3*a + 0*a + a).\nAnswer: -55*a + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34046 or 32624?\nAnswer: 32624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2282867.\nAnswer: 2282867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23727 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + n**2 - n - 1. Let r(x) = 2*x**3 + x + 2. Let l be ((-3)\/(-36)*-3)\/(1\/(-4)). Calculate l*r(u) + z(u).\nAnswer: u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4 - t**2 + 4*t**2 + 14 - 2*t**2 - 9*t. Let o be u(8). Solve -o*c + 4*c = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 129 = 3*h. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3359912 and 268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, z: 1, l: 3, d: 1, w: 6}. Give prob of picking 1 o and 2 w.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*13\/((-33150)\/(-200))?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/3 + 1 - (-13 + -883)\/(-8). Which is smaller: m or -113?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153.161 + -153. What is h rounded to two dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224 - 2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8197444 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562881 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (9 + -10 - -14) + -50\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2315858*o*y - 336666*y + 3 wrt o?\nAnswer: 2315858*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v - 5*v - 1 - 4*v. Let z(o) = -o**2 - 7*o + 13. Let x be z(-6). Suppose 16*n = x*n - 6. Give g(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t - 2. What is the remainder when 32 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffffbkbqfkbbfb. Give prob of picking 1 b and 1 f.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1610, -1621, -1640, -1673, -1726?\nAnswer: -1805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*u = u - 7, u = 3*t + 1. Let b be 8456\/12*1\/t*15. Let z = 464 - b. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Suppose -v*t = 13 + 2. Let y = -0.4 + 0.2. Which is the second biggest value? (a) y (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from ddyum.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.15, 38 in descending order.\nAnswer: 38, -0.15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437 a factor of 70092283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 1, 0, -3 in decreasing order.\nAnswer: 1, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -3700039.\nAnswer: -3700039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 285 = -43*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -520.2 + -0.059?\nAnswer: -520.259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.122538 and -0.5?\nAnswer: 0.061269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**3\/3 - 3*u**2\/2 - 2*u. Suppose 5*i + 16 = -14. Let p(r) = r + 74 - 23 - 16 - 20 - 14. Give i*p(l) - s(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3869446326.\nAnswer: 2, 3, 644907721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 682747 and 377.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:56 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*t - 4566 + 4566)*(2*t**3 + 0*t**3 - 4*t**3) + 2*t**4 - 5*t**4 + t**4.\nAnswer: -146*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*c + 267*c - 235*c - 20*c.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76621072*t**2 + 1279772*t + 7?\nAnswer: -153242144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13816075.\nAnswer: 5, 7, 13, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/5)*z**(-1\/2)*z*(z**0*z)**(-30) assuming z is positive.\nAnswer: z**(-299\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2 - 75585456*r + 714145144840992 = 0.\nAnswer: 18896364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - 4*q**2 - 22*q - 22*q - 4 + 40*q - 5*q**2 to the form o + f*q + j*q**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -6, 15\/32, 8?\nAnswer: 15\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 98.93775+-352.56\nAnswer: -253.62225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:51 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4617402239 to the nearest integer?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f - 6. Let c(r) = -r + 1. Let w(u) = -5*c(u) - y(u). Let h = -135 - -131. Let v(q) = -300 - 2*q**3 - 303 + 9*q + 599. Calculate h*w(i) - v(i).\nAnswer: 2*i**3 - 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y = -5*b + 10, -3*y + 34 = -b. Suppose 0 = -15*l + y*l + 60. Let p(h) = 7*h + 20*h + l*h. Let q(s) = -s**2. Calculate q(p(g)).\nAnswer: -1521*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 291 - 296. Which is the nearest to 0.1? (a) -0.5 (b) v (c) 82 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t = -34*t - 4*x + 418, -4*t + x + 326 = 0. Solve -t*h - 2 = -80*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let t(q) be the second derivative of q**2\/2 - 6*q. What is -t(b) + 2*y(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q = 217 - 167. Suppose -2*s + 22 = 2*d, 0 = d + 17*s - 20*s + q. Let 1\/2*p**2 + d*p + 49\/2 = 0. Calculate p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6696*a = 3*v - 6693*a + 39, v = a + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/17)\/k*k\/(k\/(k\/k**(1\/8)))*(k\/((k*k\/(k*k**(2\/27)))\/k))\/k**(1\/10))**(1\/21))**(-4\/11) assuming k is positive.\nAnswer: k**(-17749\/1060290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6 + 7*v - v**2 - 2*v + 2*v. Let o be r(4). Let h = -4 + o. Solve 0*f + 14 = -5*x - f, -h*x - 5 = f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n. Let s(g) = 4*g**2 + 10*g + 2. Let z(j) = 14*j - 113. Let c be z(8). What is c*s(d) - 12*v(d)?\nAnswer: -4*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 602811 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.14? (a) 1\/7 (b) -0.14 (c) 4216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10877524.\nAnswer: 2, 7, 388483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1970, -1993, -2036, -2105, -2206, -2345?\n\"Answer: -k**3 - 4*k**2 - 4*k - 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196536 divided by 8189.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 126.133?\nAnswer: 125.733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/16)\/(w*w*w**(-8\/11)\/w*w)*((w*w**(1\/23))\/w)**33)**(-3\/4) assuming w is positive.\nAnswer: w**(309\/16192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7891.078 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1829 + 2383 = 18*t. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**5\/10 + y**4\/4 + 2*y**3 + 7*y**2\/2 + 5*y\/2 - 26. Factor f(v).\nAnswer: -(v - 5)*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 + -79. Let d = -3 + 1. Let h(i) = i**3 + 2*i**2 - i - 2. Let c be h(d). Solve 15 = -3*l, -4*k + n*l + 34 - 9 = c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 4*q**2 - 19*q - 19. Let l be i(-5). What is the highest common factor of l and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 80.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 38458 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1362 - -1364. Put -15, 12, i in descending order.\nAnswer: 12, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4599, -4594, -4591, -4590?\nAnswer: -4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 646 and 253.\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 29, 32, 33, 32, 29?\n\"Answer: -w**2 + 8*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -17, 0.2 in descending order.\nAnswer: 0.5, 0.2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 94 + -1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 10:42 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -2.207389270246.\nAnswer: -6.207389270246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - 10\/(-12). Let w(t) be the first derivative of 1 + 0*t - 7\/3*t**3 + l*t**2. Give w(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c + 23. Let q be 6\/(-2) + 10 + 0. What is the tens digit of h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 263970669 divided by 6\nAnswer: 87990223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 2:55 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67 + 66.6. Let v be ((-1)\/(-2))\/(26\/(-8)). What is the third smallest value in 2, v, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1906716 to the nearest 10000.\nAnswer: 1910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 9*t - 3. Let p(i) = 4*i**3 + i**2 + i + 2. What are the prime factors of p(t)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456974 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 7 = 3*n - 1, -5*p - 5*n = 0. Let a(z) = -2*z**p + 3 + 0*z**2 + 2*z + z + 3*z**2. Calculate the remainder when a(-2) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13625 - -13625.000005881. Round l to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -79 + 84. Solve n*u = -11 - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18494279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 91559 - 91643.451. Let t = 0.149 - x. Let s = 71 - t. What is s rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 37.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 170?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*d**5 - 56246*d**3*m + 54*d**2*m - 7*d*m - 34*m wrt d?\nAnswer: -7500*d**2 - 337476*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f**3 + 11*f + 7*f**3 - 5*f**3 - 48*f.\nAnswer: 9*f**3 - 37*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 15*s - 71. Are s and 178\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -2\/5, -2.43, -28, 1, 111, 2\/5?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.692 * -0.3.\nAnswer: -0.2076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 6 + -5 + 1 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2793 - 2793. Let h = 0 + 2. Solve k = -s + h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 8*q - 2. Suppose -14 = 33*x - 31*x. Let p be o(x). Let c = p - -21. What is the highest common factor of 18 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 85 = -2*a + 14*z - 16, 4*a + 27 = -3*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93448781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423518 (base 15) to base 14.\nAnswer: -5bdd79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2354 divided by 1?\nAnswer: -2354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {h: 1, j: 2, x: 4, l: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b**3 - 490*b**2 - 3*b - 9968?\nAnswer: 24*b - 980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 18. Let o(d) = d + 9. Let z(t) = 4*n(t) - 9*o(t). Calculate z(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/3 + 622*g**2\/3 - 7108*g\/3 - 2576.\nAnswer: 2*(g - 12)*(g + 1)*(g + 322)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005931661 rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1131 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 - 2*z**2 + 18*z + 11. Suppose -3*g + 29 = -10*u + 11*u, 28 = g + 4*u. Does 31 divide n(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*i + 685 = 0, 3*p + 5*i - 624 = -213. Calculate the remainder when p is divided by 131.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3846\/(-21) + (-12)\/14. Let s = f + 184. Suppose -3*v + 20 = -v. Solve s*a + v = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -4*l**7\/105 + l**5\/20 - 2*l**2. Find the third derivative of y(s) wrt s.\nAnswer: -192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-6 + 10)) + 2 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(-2) - 1)*1. Let m = 1 - y. Let s = 32 + -28. What is the least common multiple of s and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6*w - 4*w - 562, w = 5*n - 1399. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - a**2 + 2*a - 2. Let v(p) = -5*p**3 + 48*p**2 + 7*p - 8. Calculate -4*g(q) + v(q).\nAnswer: -q**3 + 52*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 291 - 171. Suppose 8*p - t = 3*p. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 19*t - 483. Give m(25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a factor of 350633088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795 = 4*g - 775 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a meter in millimeters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 30, 68, 126, 204, 302, 420?\n\"Answer: 10*x**2 + 8*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610 rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 125216 (base 12) in base 13?\nAnswer: a6293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 340642994905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 2976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Suppose 2*w - 7 = g. Which is the closest to -1\/4? (a) -2 (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-5)*-15*1\/36. Let x be 6\/(-21) + 16\/(-42). Put x, n, 1, 135 in descending order.\nAnswer: 135, 1, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 7*z + 9. Let v be y(6). Suppose -4*x + 41 = -v. What is the remainder when 32 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/(-260) - (0 - -3)\/3.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 105*a**2 + 1027*a - 208. Let w be r(-114). Is -968\/3 != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19277\/38522 + -8\/19261. Let -1\/4 - 1\/4*y**2 - n*y = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -0.5, 34\/11, 4, 23, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85050377*l**4 - 14*l**2 + 48363*l + 16 wrt l?\nAnswer: 2041209048*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12001)\/(-6546))\/(2\/((-16)\/(-6))).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z + 4*z + z**2 - 17*z.\nAnswer: z**2 - 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -407 (base 15) to base 7\nAnswer: -2434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*w - 1086*w**3 - 27*w + 85*w - 60117 + 60117 wrt w?\nAnswer: -6516*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i - 20*i + 40*i)*(0*i + i - 2*i).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12331 = 71*q - 70*q, -2*q + 4*v + 24638 = 0. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 757\/1131 + -1\/377. Which is the third biggest value? (a) 33 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3668458 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 8*y**2. Let u be (-265)\/53 + (-3)\/((-6)\/10). Let t(g) be the first derivative of -1\/2*g**2 + u*g - 1. Give m(t(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-55) + 196\/11. Let h = -15 + m. Suppose -h*t - 4 + 40 = 0. What is the highest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13579374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5967210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.02 (b) -2\/19 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020913 to 6 decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, x: 7, t: 2, s: 2, u: 1}. What is prob of picking 1 u and 1 t?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4146, -7960, -11790, -15642, -19522, -23436, -27390, -31390?\n\"Answer: -w**3 - 2*w**2 - 3801*w - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 3*o**2 - o - 1. Let z be q(-3). What is the derivative of -z*s**4 - 17*s + 17*s + 1 wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4334 + -0.43. What is u rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*p + 250120 = -2961*p for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 122*j**6 + 1360*j**2 + 69. Find the second derivative of x(r) wrt r.\nAnswer: 14640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5 + 106*l**4 + 294*l**3 - 4834*l**2 - 1208*l + 17640 = 0. Calculate l.\nAnswer: -49, -9, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - -0.6. Sort -1\/4, 0.14, y, 0.3.\nAnswer: y, -1\/4, 0.14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-18) + 3*1. Let t = -3557 + 3415. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-11)\/((-2970)\/636) + (-6)\/27 and 17\/183.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572*q = 693*q + 4114 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15782, 15756, 15730, 15704?\n\"Answer: -26*c + 15808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -199*g**3 - 2*g**2 - 8*g + 36. Is r(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -27*m**2\/4 + 1347*m\/2 + 150 = 0.\nAnswer: -2\/9, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 2*l + 4. Suppose k = 6*k + 145. Let v = k - -26. Determine w(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 30 = -4*m. Let z be 63\/m - 1\/(-2). Suppose l - z = -0*l. Calculate the remainder when 52 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b**10)**(-33) assuming b is positive.\nAnswer: b**(-462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 697, -56, 1, 2 in increasing order.\nAnswer: -56, 1, 2, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*g - 4163, -3*g = -5*i - 8*g + 4195. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*m + 54*m + 55*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpwpzzzzzppwpppzpp. Give prob of sequence pzzw.\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779514297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1071)\/(-273) - (2\/(-2)*2 + 990\/110)?\nAnswer: -40\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9985536?\nAnswer: 2, 3, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 389051842 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1440) + (1*(sqrt(1440)*2 - sqrt(1440)) - sqrt(1440)))\/(sqrt(60)\/(-1*sqrt(972))).\nAnswer: 324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006649 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4 and -75\/11134.\nAnswer: 22268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -531 - -634.9. Let s = p + -104. Which is the closest to s? (a) 6\/5 (b) -0.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(175)*3*5 - (-5 + sqrt(175) + 0)))*1)**2.\nAnswer: 700*sqrt(7) + 34325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(84) - sqrt(84)*-1*5))\/(-1*((sqrt(120) + -2*sqrt(120))\/sqrt(10) + (sqrt(768) - sqrt(768)*-1))).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348542 is divided by 2385?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (-16 - -43) + (-2 - 0 - -7 - -24)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13734 (b) 0 (c) 2 (d) -5 (e) 57 (f) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 65 = 5*p, -p - 3*y + 15 = -8. Is 4 a factor of (1 - -1)*(p + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 409998?\nAnswer: 7789962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 4*k**2 + 3*k**2)*(72 + 17 + 4) to t*k**2 + d*k + c and give t.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.222, -5, 0, 3, -2688\/11.\nAnswer: -2688\/11, -5, -0.222, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 584\/3 + -193. Let l = -0.1 + 0.1. What is the third smallest value in 1\/4, l, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14517.58 from 121457.\nAnswer: 135974.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2*j + 130 = -124, -137 = -m + 3*j. Let l = -62 + m. Suppose -4*c = 2*c - l. Calculate the lowest common multiple of 3 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/6 - (-4)\/(-12). Let t = -11 + k. Let p(y) = -y**3 - 4*y**2 + 2*y. What is the units digit of p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09+2475\nAnswer: 2475.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 - 33. Let r(f) = -3*f**2 + 1 - 2*f + 12*f**2 - 2*f**2. Determine r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88712 - -975834\/11. Let o = -3.7 - 0.3. Let l = o - -9. What is the nearest to 2 in w, -0.1, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -12. Suppose -q + 0 = -z. Let d be (-23 + 9)\/((-2)\/q). What is the highest common divisor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -178, 0.03, -23.22 in increasing order.\nAnswer: -178, -23.22, -3\/5, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -82765283 rounded to the nearest 10000?\nAnswer: -82770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 16235 and 16235 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85379.08 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -2\/9 (c) 1\/7 (d) -21006120\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7259*t**2 - 85*t + 174. What is the ten thousands digit of q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -3 - (-3 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 40*m - 18. Let u(l) = -16*l + 7. Let o(p) = -12*u(p) - 5*y(p). Differentiate o(r) with respect to r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21222001020 (base 3) in base 4?\nAnswer: 212101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -129 - -590. Let g be (2\/(-4))\/((-2)\/476). Suppose -6*q - g = -l. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -152*w - 23. Give j(-1).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 984 and 183639?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 427 - 400 - (-380)\/(-14).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**6\/120 - 5*p**3\/6 + 4*p**2 - 12*p. Let g(l) be the first derivative of a(l). Find the first derivative of g(v) wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -14*z + 49. Let y be r(4). Sort 13, y, -4 in descending order.\nAnswer: 13, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*(224\/98)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 47, -3, -1\/2, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -1\/2, -2\/49 in descending order.\nAnswer: 5, 0.5, -2\/49, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 2 - 4 + 2*h + 3 + 5. Let g be f(4). Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15508512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 136.31?\nAnswer: -27.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 3*v + 4. Let j(t) = 2*t + 6. Let r(g) = 2*j(g) - 3*o(g). Let l(k) = 4*k**2. What is r(l(d))?\nAnswer: 48*d**4 - 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -507557*l**3 - 57491*l**2 - 4.\nAnswer: -3045342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -7*a**2 + 17. Let w(y) = 130*y + 1. Calculate w(g(j)).\nAnswer: -910*j**2 + 2211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + -98. Is 18 a factor of (-4)\/3 - 29225\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -264*n**3 - n**2 + n. Determine z(1).\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711286.673 minus -11?\nAnswer: -1711275.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.946 - 18. Round h to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/3))**(1\/13))**(-2\/5) assuming b is positive.\nAnswer: b**(4\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - (9*-14)\/3. Suppose 0 = -z + n + 59 - 21, -3*z + 5*n + 108 = 0. Let y = p - z. Let q(i) = -2*i**3 - 4*i**2 - 2*i. Calculate q(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -2. Let g(r) = 5*r - 11. Let x(a) = 4*a + 17. Let s(b) = -3*b - 14. Let d(u) = 5*s(u) + 4*x(u). What is k*g(y) - 11*d(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39686717 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20260970, 20260972, 20260974, 20260976, 20260978, 20260980?\nAnswer: 20260982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wd when two letters picked without replacement from ttdddwqwdwwtwdqwq?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x. Let m(f) be the first derivative of -5*f**2\/2 + 6*f + 9. Let z(n) = 4*n - 5. Let j(l) = -5*m(l) - 6*z(l). Calculate u(j(w)).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4020)\/(-42) + 6\/21. Let m be (-2)\/(-6)*-3*a. Let q = 241 + m. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -505*q + 1335*q - 414*q - 417*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = 7*c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -15. Let i = c - 17. Suppose i*w - 2 = 5*w - b, -5*b = 4*w - 29. Sort w, 4, 0 in decreasing order.\nAnswer: 4, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.82 + -3.62. Which is the nearest to 1\/4? (a) -4 (b) -0.09 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 5 (b) 0 (c) 3\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5683 divided by 2?\nAnswer: -5683\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11972, 49524, 112110, 199730, 312384, 450072, 612794?\n\"Answer: 12517*z**2 + z - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -595, -1077, -1757, -2701?\nAnswer: -3975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -89472805 to the nearest 100000.\nAnswer: -89500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 4:48 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10725 and 15990.\nAnswer: 879450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -711820.57234 + 2143.\nAnswer: -709677.57234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/136028 and -73\/42.\nAnswer: 2856588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12.5 times 4\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g. Let l(x) = 8*x + 1. Let i be 8\/2 + (-330)\/(-11). Suppose 13*f + 4*f + i = 0. Calculate f*p(h) - l(h).\nAnswer: -6*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 10*u + 29. Give h(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.3885 millennia to centuries.\nAnswer: 563.885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 6*o - 3*o.\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 23*a - 20. Let d = -40 - -45. Suppose -4*b = -3 - d. Let f(l) = -11*l + 10. Let k(c) = b*y(c) + 5*f(c). Find the first derivative of k(h) wrt h.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 12:44 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323945 is divided by 35948?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + 10 + 1 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 495 = 11*l - 318, 4*z - 43 = 3*l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:23 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 6, r: 2, s: 2, i: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -7*r**3 - 3*r**2 - 10*r + 5. Let h(y) = 20*y**3 + 10*y**2 + 32*y - 16. Let x(z) = -3*h(z) - 10*o(z). Find the second derivative of x(d) wrt d.\nAnswer: 60*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**2. Let f(y) = -42*y + 63. Let u(g) = g - 1. Let k(o) = f(o) + 63*u(o). Let j(z) = 4*z. Let s(v) = 14*j(v) - 3*k(v). Give b(s(i)).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2347.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 120 - 322*z**2 - 325*z**2 + 1007*z**2 - 370*z**2.\nAnswer: -10*z**2 - 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/3 - 5*u**3\/2 + 12*u**2. Let f be q(-5). Calculate the highest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 5*x - 13 - 72, 4*s - 71 = -5*x. What is the remainder when s is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 2*f - 20. Let r be t(-6). Suppose -7*m + 5499070 = -4*m - 4*h, r*h = -4*m + 7332056. Let b = m + 146982. Round b to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2\/7, -0.5, 1\/106 in descending order.\nAnswer: 2\/7, 1\/106, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -21*19\/133 + 71422 + -3 + 1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 5*w - 12, -5*f + w - 4 = 5*w for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*g + 2)*(-25*g**3 + 68*g**3 + 37*g**3) in the form w*g**4 + x*g**3 + l*g**2 + y + n*g and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -8. Suppose 6*d - 3*d - 9 = v, -5*d = 4*p - 75. Solve -2*l - p = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -1\/6*o**3 - 3\/2*o**2 + 0 + 2*o. What is the derivative of w(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**5\/2 - 18*s**4 + 39*s**3 + 126*s**2 - 945*s\/2 + 324 = 0.\nAnswer: -3, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -111*a**3 + 8*a**2 + 8*a. Let s(j) = 74*j**3 - 5*j**2 - 5*j. Give 8*s(g) + 5*w(g).\nAnswer: 37*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0*3\/6. Let j = m + 16. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j + 8*f - 36 = 2*f + 2*f, f = -3353*j + 3358*j + 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/4 + 1239*m\/2 - 127215\/4 = 0 for m.\nAnswer: 55, 771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 3:46 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -8. Let b = 28 - t. Suppose -15 = -3*m, 2*m - b = 3*r + 3*m. Is -10 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7064345311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18949*p + 165*p**3 - 18949*p - 2.\nAnswer: 165*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 161?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5945 + 2.6945. Put r, -931, -2\/3, -1\/8 in descending order.\nAnswer: r, -1\/8, -2\/3, -931","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2) + 64\/4. Let f = o + 7. What is the remainder when 43 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in 183, 2\/7, -228\/11, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 6*h - 7. Let z be y(7). Let v = z + -30. Solve -4*n - v*k + 8 = 0, -4*n - 4*k + 7 = -n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-4))\/(12\/(-24))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80934880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/477061 and -19\/780.\nAnswer: 28623660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 3*q + 1. Let i = 12 + -4. Suppose 7*z - 3*z - i = 0. Determine c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8\/9 - 10\/9*a**4 - 16\/9*a + 16\/9*a**3 + 2*a**2 = 0. Calculate a.\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 3*b - 5. Let u be o(-2). Let f = 3 - 1. Suppose u*l + 110 = 5*i, 4*i + f*l = l + 68. Is 5 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 36 = 3*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-600)\/6300)\/(((-2)\/(-5))\/(18\/15)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 10:52 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -102 (c) -0.2 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, 3*s = 3*k + 23 - 41. Let b(g) = 81*g + 44. Let r(c) = 16*c + 9. Let w(z) = -2*b(z) + 11*r(z). Let p(o) = -5*o - 4. Determine k*w(l) + 17*p(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 481402\/201 and 2396 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 485?\nAnswer: -48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/29))**44)**(-2) assuming k is positive.\nAnswer: k**(176\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, 1 e, and 1 y when four letters picked without replacement from jeedjyeenefee?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 579046053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 367872 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0355 + 417.0355. Let i = 415 - p. Which is the third smallest value? (a) i (b) -12 (c) -1\/4 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 3*o**2 + 20*o + 20. Let q be b(-6). Suppose -q*r - 54 = -26*r. Factor 16\/11*u - 18\/11*u**r + 6\/11*u**2 - 8\/11.\nAnswer: -2*(u + 1)*(3*u - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 4*s - 100. Calculate the common denominator of (-372)\/10*5\/s and ((-178)\/(-6))\/((-8)\/(-3)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10*l + 730. Suppose 3*g = 5*c - l, -5*c + 167 - 37 = 5*g. Suppose 3*a - c = -4*v, 5*a - 32 = -6*v + 3*v. Put 3, 1, a in increasing order.\nAnswer: 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzzoboofff. Give prob of sequence ffoz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 36 + 55 - (135 + -23)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/7)\/(8\/(-28)). Let b = y + 0. Suppose 5*l = -b*m + 4, 10 = 4*m + m - 2*l. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f + 206. Let v be z(19). Solve v*p - 6*p = 40 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2731\/3 equal to -911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 - 7*j + 6. Let z(b) = 4*b**2 - 6*b + 5. Let l(s) = s**2 - s + 1. Let u(d) = 2*l(d) - z(d). What is 11*u(q) + 6*w(q)?\nAnswer: 2*q**2 + 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 5*r + 1\/105*r**6 + 1\/42*r**4 + 0 - 3\/70*r**5 + 1\/7*r**3 - 2\/7*r**2. Solve g(x) = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119504 is divided by 39801?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -88, -98, -124, -172, -248?\n\"Answer: -j**3 - 2*j**2 + 3*j - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 12, -2*z + 4*n = 1 - 5. Calculate the remainder when 12 + 6\/z*4 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 55?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -127*z**3 + 111632744*z**2 - 24531238359131*z - 386318742002.\nAnswer: -(z - 439499)**2*(127*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 36 = -6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*r + 5, 2*r + r - 4 = k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 15 - r**3 - 22 - 16 - 118*r**2 - 3*r to the form u*r**2 + f*r**3 + c*r + x and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 901, 8460, 21059, 38698, 61377?\nAnswer: 89096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*s + 60*s**2 + 23*s + 252*s**2 + 4*s**2 + 0*s**2 - 3*s**2 + (-s + s - 2*s)*(-2*s - 2*s + 2*s) - 2*s**2 + 2*s**2 + 2*s**2 + s - s + 10*s**2.\nAnswer: 329*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**2. Let g(j) = 4*j**2. Give w(g(n)).\nAnswer: 160*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(45)*2 + sqrt(80)\/sqrt(4) - -2*(sqrt(5) + (sqrt(35)*3)\/sqrt(7))) + -2).\nAnswer: -64*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 4*b - 4*t, -b - 2*b + 138 = 3*t. Suppose -2*c - b - 28 = 0. List the prime factors of 158\/7 - (-20)\/c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -785230 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 15. Is -1*758*(-13)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-30)*1*-1)\/(((-4)\/10)\/(-2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368079292057 - 9.\nAnswer: -368079292066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471416461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 2. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3006)\/(-15081) - 10\/55)\/(-2). Let g = 1387\/1828 + y. Let 15\/2*r + g*r**2 + 75\/4 = 0. What is r?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/7*z**2 - 1\/7*z**3 + 0 + 9\/7*z = 0. What is z?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(300)\/sqrt(10))*2 - sqrt(30) - (sqrt(330)*3)\/sqrt(11))\/(5*(sqrt(12)\/sqrt(2) + sqrt(6) - sqrt(6)) - sqrt(24)*5).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12222212110 (base 3) to base 14\nAnswer: -3100a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 2*s - 3. Calculate o(8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 36 - 92*o - 120*o**2 - 2*o**4 + 24*o**2 - 26*o**3 - 66 - 10*o**3 = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 2*m**2 - m**2)*(-367 - 639 - 2046).\nAnswer: 6104*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -512501*d**2 - 5*d - 4. Let a(n) = -3*n**2 + 2*n + 1. Let f be a(-1). Let w be i(f). What is w rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 22 = 2*i, -4*r + 2 = -3*i + 5. What is b in -b**3 + 3*b**3 - r*b**2 + b**2 + 0*b**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71340652\/213 + 334932. Let p = 1\/1322 - 2715\/93862. Let s = k + p. Which is the nearest to 2\/3? (a) s (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/40 and 67\/709848.\nAnswer: 3549240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - g - 363, 5*o + 5*g = 735 + 135. What are the prime factors of o?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**5)*f*f*((f\/(f**(-3\/7)*f))\/f)\/f)\/(f**(-2\/7)*f*f**(3\/4))*((f**(-1)\/f)**(-4\/3))**(-25\/6) assuming f is positive.\nAnswer: f**(-4321\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/2 + 351*m**3\/2.\nAnswer: -3*m**3*(m - 117)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a litre in millilitres?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 + -3 + 5 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3660928 divided by -114404?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4839.8349 and 0.5.\nAnswer: 2419.91745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n = -5*h - 5, 10 = -3*h - 2*n. Let p(k) = -k**3 + k + 6. Let b be p(h). What is the third derivative of -b*f + 6*f - 2*f**4 - 3*f**2 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 52\/5 of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4527242?\nAnswer: 2, 599, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.843672 millilitres to litres.\nAnswer: 0.009843672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -449*i**2 - 56131*i - 784. What is y(-125)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3313 - 1662. Suppose r = 6*m - 1775. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Let l(m) = 4*m - 3. Let s be l(2). Let k(v) = -v**3 + 7*v**2 + v - 4. Let i be k(7). Solve s*n = -u + o, -4*u - i*n - n = -12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40529946, -40529938, -40529930, -40529922, -40529914, -40529906?\n\"Answer: 8*j - 40529954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22390455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/21)\/t)\/t*t**(-1)*t\/(t\/(t\/t**7))*t\/(t**(-5)*t)*t assuming t is positive.\nAnswer: t**(-61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 - 1251 - 520 = -174*m. Calculate the smallest common multiple of 218 and m.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -6\/110647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 278303797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 92184 = -2*r, j - 2*r - 18143 = 4900. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4841 - 14?\nAnswer: 482a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1878 and 2468318.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -47 (b) -1 (c) 460132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -27*(2\/(-6) - (-8)\/12). Let g(q) = 5*q**3 - 17*q**2 + q - 9. Let d(z) = z**3 - 4*z**2 - 2. What is c*d(x) + 2*g(x)?\nAnswer: x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18595.\nAnswer: 5, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*d**2 - 5*d + 0*d + 6*d + (2*d - 3*d - d)*(d - 4*d + 0*d) as v*d**2 + j*d + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**6\/540 + w**5\/120 + w**4\/72 + w**3\/2 - 2*w**2. Let n(d) be the first derivative of x(d). Factor n(b).\nAnswer: (b + 1)*(2*b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 + 90. Let y be s\/(6 - (-5 + 1)). Which is the nearest to -1? (a) -0.4 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 144*w = 140*w - 33, 0 = 2*q - 5*w - 23 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8 and -0.098337049532.\nAnswer: -8.098337049532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 417798629+2946\nAnswer: 417801575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**6 + 1865*a**4 - a**2 - 377?\nAnswer: -120*a**3 + 44760*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -180.1 + 171. Let n = 165941.558 + -165950.6580099. Let y = x - n. Round y to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7761959936?\nAnswer: 2, 41, 184879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 4*s - 32, -5*s + 30 = 7*m - 2*m. Suppose 4 - m = -b. Suppose 0 + 2\/3*h**2 - 2\/3*h**b + 0*h = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.92 - -14.63. Let v = -68 + 100. Let f = z - v. Sort f, -0.5, 4 in descending order.\nAnswer: 4, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and 24186564?\nAnswer: -169305948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 42*n**2 - 40*n + 40. Let d(x) = x**2 - 935*x - 5687. Let i be d(-6). What is s(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284522 is divided by 679.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l**5\/7 - 946*l**4\/7 + 43822*l**3\/7 - 519294*l**2\/7 + 1317168*l\/7 - 382968\/7 = 0 for l.\nAnswer: -197, 1\/3, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 2*b - 20, 4*k = 6*k + 2*b + 10 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -34. Suppose 4*t + 6 = f, -92 = -r - 2*t. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Let r(m) be the first derivative of 667*m**2\/2 - 1012. Determine f(r(b)).\nAnswer: -667*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 4*f**2 - 230*f - 1110. Calculate m(-4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386426 is divided by 117?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Suppose 5*s - 3*i = 90, -3*i = 2*s - 11 - m. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/453790?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/191 + 11285\/382. Find the common denominator of (5\/(-3))\/(2\/(-15)) and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/2 (b) -3271652 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(11\/4)\/h)\/(h\/(h\/(h**(-9)\/h))))\/(h**(2\/29)\/(h\/((h**(-2\/5)*h)\/h))) assuming h is positive.\nAnswer: h**(7587\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6639, 0.4, -25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 18. What is the least common multiple of (-28)\/(-15) - (-20)\/150 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 640 + -35?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835 - 695 = -8*w - 1114 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-708)\/18)\/(6\/9). Let u = -30 - b. Suppose -2*k - 4*z + 17 = -3*z, -4*k = z - u. Calculate the remainder when 15 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1144 + -1299.13. What is p rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-914)\/(-3) + 2\/6. Suppose r = 3*o + 2*o - 113, 3*r + 2*o = -z. Let s = r - -149. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903355 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*f + 3*f + 11 = 0, -5*q + 29 = -3*f. Let u be -891 - (q\/(-2) - -1). Round u to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45.87 - -45.9. Let m = s + -0.33. What is the fourth smallest value in -0.1, -0.01, -4, m?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21010111002 (base 3) to base 10\nAnswer: -140321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 8.201871kg?\nAnswer: 8201871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.869785069 rounded to four dps?\nAnswer: -0.8698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 1, -2, -4, -3\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1143905184 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 125. Let y be f(0). Round y to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64*(-3)\/((-9)\/6). Let u be (6\/(-4))\/((-48)\/y). Solve -u*z + 2*h - 7*h = 0, -4*h = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 50*v**2 - 1780*v - 305. What is l(-74)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 63\/2. Which is the nearest to 1\/3? (a) d (b) -2\/11 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-4050)\/(15\/5). Suppose x = -0*q + 2*q - 3*d, 660 = q + 5*d. Suppose -14*z + 19*z = q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)*(-8)\/2. Let u = -4.07 + 0.07. Let y = -5.1 - -5. Which is the second smallest value? (a) y (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-1) - (-100)\/26. What is the second smallest value in -4\/9, h, -3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - (12 + (18 - 32))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**4 - 3972*b**3 + 747952*b**2 - 2216112*b + 1472128 = 0.\nAnswer: 1, 2, 248, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 6343932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3434200 to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7)\/(-1))\/(-3 + (-32)\/(-10)). Calculate the highest common divisor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - -3*sqrt(1400))\/(sqrt(512)*-3) + 3.\nAnswer: -5*sqrt(7)\/6 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 548822*m**2 + 508111*m**2 - m.\nAnswer: -40711*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/33, -15, 3\/4, -0.1.\nAnswer: -15, -0.1, -1\/33, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a - 8. Solve -3*k - a*k + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 102 = -12*b. Solve -5*d + 2 = -2*w - 0, b*w + 5*d + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -490 + 486.45. Let j = f + -1.45. Which is the smallest value? (a) j (b) -4 (c) 24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-2\/9)*x**(3\/5)*x**3\/x**3)\/((x\/x**(-2\/7))**17*((x\/(x*x**(1\/4))*x)\/x)\/(x\/((x\/(x*x*((x**0\/x)\/x)\/x))\/x))) assuming x is positive.\nAnswer: x**(-24229\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, -3, -55, -161, -339, -607?\n\"Answer: -3*l**3 + 5*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-846)\/423)\/(2\/69*-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = u - 3, 2*d = -d. Suppose 2*f + t - 42 = 10, u*f = 2*t + 71. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1134 in -3, 2, -3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2386292 to the nearest integer?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 g when four letters picked without replacement from {g: 1, t: 8, h: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711826759.\nAnswer: 7, 71, 491, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23390, -23504, -23682, -23918, -24206, -24540?\n\"Answer: t**3 - 38*t**2 - 7*t - 23346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (64\/(-416))\/(695*(-19)\/1235)\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17658)\/(-523200)*2\/(-3) and -3 - (-2 + 23\/(-6)).\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + (-2395)\/275 - (-1 - 1) and 29\/51.\nAnswer: 2805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**49\/(a*a*a**(5\/4)*a*a*a*(a*a**(6\/11))\/a*a))**30 assuming a is positive.\nAnswer: a**(16415\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347293 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*z + 229*z**4 - 276 + 142 - 9*z - 11*z**4 + 129 to t*z**2 + k*z**3 + i*z**4 + d*z + a and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3711, 3712, 3713, 3714, 3715?\n\"Answer: b + 3710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26458655 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 7.033.\nAnswer: 12.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, a: 1, h: 2, l: 1, p: 3}. Give prob of sequence pah.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41215710 divided by 141.\nAnswer: 292310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6*(-30)\/40*10. Solve 4*f + 4 = -4*r, 6*f - m = r + 11*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5437, 10876, 16315, 21754, 27193, 32632?\n\"Answer: 5439*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of s**3\/15 + 2*s**2\/5 + 3*s\/5 - 30. Suppose z(h) = 0. What is h?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3)*1 + (-4*sqrt(80))**2.\nAnswer: sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**2 - 43*z**2 - 25*z**2. Let p(s) = 9*s - 2. Let n(d) = -46*d + 10. Let g(t) = -n(t) - 5*p(t). Give g(u(m)).\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2245 + 0.05.\nAnswer: -0.1745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d**2 + 267266*d**3 - 28*d**2 + 13*d**2 + 222238*d**3.\nAnswer: 489504*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 78 = -6*c + 8*c, -3*c + 13*c - 6*c - 2*c - 24 = -5*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r - 4. Let f be y(5). Suppose -3*a - 4 = -f. What is the units digit of (35 - (-1 + 4)) + a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -30700.\nAnswer: 12280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211400111 (base 5) in base 16?\nAnswer: -2b5850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, r: 4, g: 3, k: 7}. Give prob of sequence ir.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9901*c*q*x**2 - 7*c*q*x + 3*c*x**2 - 2*q*x**2 + 457*q - 259*x wrt c?\nAnswer: -9901*q*x**2 - 7*q*x + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - -0.6. Let r = -3.9 + l. Let v = -0.5 - -0.2. Which is the nearest to r? (a) -3\/2 (b) v (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830415201?\nAnswer: 3, 7, 11, 17, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1096434 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 15*a + 39. Let x be j(12). Suppose x*m + 3*d - 15935 = -d, 3*d + 15963 = 3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8328456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 635 + 3*f - 2*f + 5*f + 1097 - 8*f to l*f + d and give d.\nAnswer: 1732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -g - 5*n + 2, 5*n = 4*g - 224. What is the lowest common multiple of g and 539?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t + 354 + 355 - 721. Let b(k) = 2*k. What is b(l(f))?\nAnswer: 6*f - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v - 5*o + 9 = -28*v, 0 = -3*v - 2*o + 7. Which is smaller: v or -1\/1000?\nAnswer: -1\/1000","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/104 and -1\/310015524.\nAnswer: 620031048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006488 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/55 + 213\/110. Let v(g) be the first derivative of 0*g**2 + 27 + 0*g - 5\/8*g**4 + q*g**3. Factor v(m).\nAnswer: -5*m**2*(m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/685570407?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3567 - -0.1\nAnswer: -3566.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*l + 2 = -3*q, -6 = -3*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-4)\/88). Let x(f) = f**3 + 11*f**2 + 9. Let y be x(i). Solve 3*p - 16 = 4*r - 2*r, -3*p = 3*r + y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3406 = 18*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12800869847210 less than -2?\nAnswer: 12800869847208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 203 - 265351?\nAnswer: -265146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccqqqcqqvqqvqqv. What is prob of picking 1 c and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*g - 108*g + 681 = 0. Let j = g + -222. Solve 2*q + 11 = j*u, 0 = -0*u - 2*u + q + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -g + 46 - 48, 10 = 5*j - 4*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 5*z**2 - 6*z + 7. Let s = -105 - -53. Let c = s - -58. Determine x(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-1 + 0 - 0). Suppose 0 = p - 4*p - w. Let r be ((-4)\/(-2))\/(5 - 7). Is r < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -329*i + 324*i - 2*i**2 - 2400*i - 3835*i in the form m*i + l*i**2 + f and give m.\nAnswer: -6240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262057*x**2 - 2670555*x.\nAnswer: -524114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*v = -18, -112*d + 4*v = -115*d + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 26 = -5*x, 5*a - 10 = 3*x + 16. Solve -4*q - 3*m = 0, a*m = 5*q - m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 2 = -4*p - 2*b, 9 = 4*p + b. Solve -o = -0*o - p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 1, y: 8, r: 6, t: 1}. What is prob of picking 1 d and 2 r?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -3\/7 (b) -28\/25 (c) 0.07 (d) -5 (e) 2\/11 (f) -4\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 268*0.3.\nAnswer: 80.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87619634 to the power of 1\/2, to the nearest integer?\nAnswer: 9361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003605241 to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -3 + 3*x - 3\/4*x**4 - x**3 + 3\/2*x**2. Factor j(v).\nAnswer: -3*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2*r*r*r)**35)**(-50) assuming r is positive.\nAnswer: r**(-10500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4 + 67*r**3 + r**2 - 4 + 2*r**2 - 69*r**3 + 4*r = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3180677520 to the power of 1\/2, to the nearest integer?\nAnswer: 56397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f. Let o be (-3)\/(-30) + (-209)\/(-110). Let x(a) = 2 - 2 - o + 10*a + 1 - 13*a. Give -2*b(v) - 3*x(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27625866 + 192818866. What is y rounded to the nearest one million?\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 96023, 96011, 95983, 95933, 95855?\n\"Answer: -v**3 - 2*v**2 + v + 96025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1484030 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 5. Let r be 3\/6 + (-45)\/(-10). Let k(i) = -2*i + 6. Let u(x) = -x**3 + 6*x**2 - 7*x. Let s be u(5). Let q = s - -4. What is q*a(g) + r*k(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0.001419233.\nAnswer: 0.001419233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -9*v**2 + 25*v + 53. Calculate u(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 12:23 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from ptptpttptpttt?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 31315 (base 6) in base 4?\nAnswer: 1001333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a - 2. Let r = 0 - -3. Suppose 0 = 5*p - 20, h - r = 2*p - 14. List the prime factors of n(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j**2 - 10*j + 15*j + 9*j + 13 - j wrt j?\nAnswer: 4*j + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from cmihhm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144028011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59607, -59607, -59611, -59619, -59631, -59647?\n\"Answer: -2*j**2 + 6*j - 59611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*d = -61*d - 6. Let w be -69*4*((-6)\/d)\/18. What is the highest common divisor of w and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 375532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/9)\/(2\/(-6)). Let c be 9\/(-7) - d\/(-14). Is (-1)\/(15\/(-14) - c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.656 less than 5305982?\nAnswer: 5306189.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - -187. Let w be (k - (5 - 2)) + -2. Suppose -o + w = 3*y, y + o = -o + 64. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 543, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -10*y**3 - 1. Let k be i(-1). Let v(s) = -s + 11. Let q be v(k). Let g(w) = 8*w - w**q - 19*w + 2*w - 2 + 14*w. Give g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 358*i*v**3 + 14057*i*v**2 + 24676945*v**3 wrt i?\nAnswer: 358*v**3 + 14057*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(1552\/96 + -16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t + 2*t + 2*t + (-2 + 0 + 0)*(-1 + 2*t + 1).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644, 1234, 1830, 2432?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 8:25 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4) + ((-2646)\/(-8))\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 6916.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 - -2299\/10. What is the common denominator of 37\/3 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/55 - 23\/(-10)*(-18)\/(-297). Let h be 19 + -17 + ((-6)\/5 - 1). Sort h, -0.4, -1\/4, o in descending order.\nAnswer: o, h, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (i**4 + 2*i**4 + 0*i**4)*(3 - 1 - 1) to c*i**4 + u + f*i**2 + m*i + o*i**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -5*w. Suppose 5*y - 15 = 0, -3 = r + 5*y - 21. Let i be w - (-7 + -1 + r). Solve 3*u = -5*v + 10, -u = 2*v - 0*u - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 81933 = 9*n. Let l = -11446 - n. Is l\/(-38)*(-2 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**3\/6 + 5*i**2\/2 - 13*i. Let f be g(-3). Factor -13 + 8*o + 2 - 2*o**3 - 1 - 4 + 4*o**f.\nAnswer: -2*(o - 2)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -42*w + 671. Let k be u(16). Which is bigger: -170 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 67 = -54. What is the remainder when p is divided by 1\/((-5)\/(-155 + 0))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95359 is divided by 31776?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 7*i**2 + 4*i + 6. Let b be q(-6). Suppose x + 9 = -4*r - 0, -2*x + 4*r = -b. Solve 25 = -2*o - x*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/(sqrt(27)\/(sqrt(9) - (sqrt(81) + sqrt(9)))))**2 - ((sqrt(6) - -2*(sqrt(6) - sqrt(30)\/sqrt(5)))\/(4*(sqrt(32) - sqrt(2))))**2.\nAnswer: 20735\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 - -2.7. Let s = 75\/11 - 1253\/187. What is the closest to -0.1 in -3, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 33*a**2 + 30*a - 7. Let w be i(5). Let j = -204 + w. What are the prime factors of j?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 2143844*g**2 + 12862956*g - 19294380.\nAnswer: 4*(g - 535955)*(g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -9, -30, -71, -138?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 3616.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -201\/5 in -0.1, 1.1, -0.51, 2\/11, 1\/2?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 155, 382, 805, 1490, 2503, 3910?\nAnswer: 5777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*n + 14 = 0, 0 = -4*i + 3*n - 0*n - 8. Let g = -5 + 4. Let a be 6500\/g + -1 + i. Round a to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18115?\nAnswer: 5, 3623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*f*x**3 + 116162*f*x**2*z - 2*f*x**2 - 1178367*f*x + 13*x**3*z + 2*x*z + x + 1 wrt z?\nAnswer: 116162*f*x**2 + 13*x**3 + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 416640 - 271494 + 130278 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*z + 116 - 215 + 108.\nAnswer: 51*z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 89 - 7248\/(-84)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 + 3*s**4 - 4*s**4)*(3 + 0 + 2)*(0 + 3 - 1).\nAnswer: 10*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - k = -6*u - 10*u - 20, 3*k = 2*k + 6 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (27 - (-55 - -31)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 6*t = 76. What is the least common multiple of 9 and t\/6 - 24\/(-36)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/18 - 92\/414. Let j = 568 + -398. Suppose h + h - j = d. What is the remainder when h is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 9:45 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3))**(-41)\/(s*s**1)**6 assuming s is positive.\nAnswer: s**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 1. Let u(j) = -j**2 - 65*j + 203. Let g be u(-68). Let q(y) = 3*y**2 + 2*y - 3. Determine g*q(p) + 2*m(p).\nAnswer: -p**2 - 2*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 119 = 3*g. What is the common denominator of 10*-2*15\/(-132) and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q + 4. Suppose 809*p + 7020 = 1394*p. Calculate the highest common factor of q and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 13*p**2. What is the tens digit of y(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70355 and 780.\nAnswer: 10975380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 1250 - 1252 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134134 + -332?\nAnswer: 133302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1114 divided by 3.\nAnswer: -1114\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeeeeeeaaaeeeeaeae. Give prob of picking 3 e.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 15322*a**3 - 11 + 24.\nAnswer: 15322*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621378 - 310586 - 310701 + 6*r.\nAnswer: 6*r + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + (3*(sqrt(931) + 2) - sqrt(931)) - sqrt(931))**2 - (sqrt(931) - -2*(sqrt(931) + 3)) - (((-2 + sqrt(76))*1 + -5)*-4)**2.\nAnswer: 1754 + 595*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1735*x + 1742*x + 716 - 812.\nAnswer: 7*x - 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-21))\/(-25*30\/75))\/(32\/(-20))\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2. Let h(b) = -b**3 + 8*b**2 - 2*b - 5. Let s be h(5). Let i(g) = 60 - s - 3*g. Calculate i(o(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -5*n**2 - 157286535*n + 314573090 = 0.\nAnswer: -31457309, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0 - 15*k**2 + 0*k - 1\/24*k**4 - 7\/6*k**3. Let o be a(-10). Solve -3*n + 7 = o*q + 1, -5*n = q + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-7))\/(2\/7). Solve -y*w = -6*w - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z - 20. Let l be b(-8). Let g = -18 + 23. Sort l, g, -1 in descending order.\nAnswer: g, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p - 2. Suppose 0 = 2*m + 3*m - 45. What is the remainder when m is divided by d(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q - 3. Let r(i) = -15*i - 6. Let o(h) = -5*k(h) + 3*r(h). Let v(j) be the third derivative of -j**4\/24 - 15*j**2. Determine -o(l) + 4*v(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -27*j**2 - 165*j + 22. Calculate u(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let t be (h\/(-4))\/(4\/(-24)). Let a(d) = d**2 + 2*d + 4. Is a(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9979265 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5375 - 37622\/7. Sort 4, 0, 3, -3, k in decreasing order.\nAnswer: 4, 3, k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(19) + 2)*1 + -5 - (-2*((sqrt(95)*2 - sqrt(95)) + sqrt(95) - sqrt(95)) - sqrt(95))\/((sqrt(5) + -1*sqrt(5) + sqrt(5))*6))**2.\nAnswer: -15*sqrt(19) + 271\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60 * -698.\nAnswer: -41880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 184 + -38. What are the prime factors of b?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*w + 9863 = -59551 for w.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 0*h - h - 2*h. Suppose 2*i - 4*t - 2 = i, -3*i + 6 = 3*t. Let d(x) = 6*x**i - 4*x**2 + 3*x**2. Calculate d(b(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**7*i*i**(-2\/5)*i)\/(i**(-5\/2)\/i**(2\/19)))**(-14\/5) assuming i is positive.\nAnswer: i**(2387\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.49, -3\/2, -4 in descending order.\nAnswer: -3\/2, -4, -4.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3057732 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 45.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -685 = -2*u + 5*c - 678, -4*c - 12 = -2*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9311\/7231 - 2\/1033. Let d(w) = -w**2 + 48*w + 2. Let m be d(48). Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013966 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4126 and 149097136?\nAnswer: 4126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15305 in 4\/5, -2, 575?\nAnswer: 575","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4 + 1. Let g(f) = 4*f - y*f - 9*f - 1720*f**2. Let q be g(-8). What is q rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a day in seconds?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/13 (b) -1 (c) 4 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**2\/3 + 56*n\/3 - 380\/3 = 0.\nAnswer: -19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 2, -147, 21 in decreasing order.\nAnswer: 21, 4, 2, -1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*r + 998219 = 1001089 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-15 - -11) - 5\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 342*p + 3740. Give x(-11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.09 (c) -2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/624142506 and 121\/234.\nAnswer: 1872427518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1601895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -7579387175.\nAnswer: -7579387174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.014 - 0.086. What is x rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1129725, -1129724, -1129723, -1129722?\nAnswer: -1129721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9421875 and 51125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -144, -2280, -8078, -19368, -37980, -65744, -104490?\n\"Answer: -305*u**3 - u**2 + 2*u + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*j - 9 = 0, -3 = 36*v - 33*v - 4*j. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 7 - 103 = 0. Let y = 0.03 - 1.03. What is the nearest to m in y, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110110210211021 (base 3) to base 12\nAnswer: -227855a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -55, 8929?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/(2\/(-44)). Suppose 5 = -23*g + 74. What is the greatest common factor of g and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -1. Let t(f) = -306*f**2 - 3*f + 8. Let w be t(i). What is w rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -16429774\nAnswer: -1\/16429774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 2*a - 11785234 + 11785238.\nAnswer: 8*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 29199 - 1726?\nAnswer: 27473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5335 - -14611. Does 115 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-17*(-95)\/21318.\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 3}. Give prob of picking 1 o and 1 k.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvpv when four letters picked without replacement from xpxvpdipvdvpdxvrd.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/26244 and -11\/2423196.\nAnswer: 7269588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840)\/(-84) - 2\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46592 and 20286?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28 + -15 - (6 + 2). Solve -b*q = 4*a + 1, -2*q + 44*a - 45*a + 2 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398970?\nAnswer: 2, 3, 5, 11, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39*(-23)\/(-2)*(5005\/105 - 45) is divided by 147.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + sqrt(28))\/sqrt(2) + sqrt(14))\/sqrt(2).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-4\/17))**(-42) assuming r is positive.\nAnswer: r**(-168\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9553 is divided by 9550?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1175442421?\nAnswer: 1175442421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -0.3, -5, -0.4, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4907 - 0.4.\nAnswer: 4906.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 4*z + 4*n - 3 = 0, -3*z = -4*n - 27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -976 divided by -61?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 + 14. Calculate the remainder when 15 is divided by 9 + c + (-10)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/81 - 8\/108) + 0. Solve h = 2*y - 2*x - 2, 2*x - 6 - 7 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 31 (c) -4 (d) -167 (e) 159\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 3*j = 3*s - 57, 16 = -4*s + 5*j. Is 9 a factor of (-3481)\/s + (-22)\/(-99)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 1359?\nAnswer: -135d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16312?\nAnswer: 2, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 904.4 - 904.4. Which is the second biggest value? (a) 5 (b) 4 (c) 0.1 (d) -0.9 (e) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/5))**(3\/8))**(-34) assuming v is positive.\nAnswer: v**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4200) - ((sqrt(378) - (sqrt(378) + 2*sqrt(378))) + sqrt(42)))\/((sqrt(18) - (sqrt(1152) + -3*sqrt(1152)))\/sqrt(3)).\nAnswer: -5*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 109 + 337. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) - (-42)\/18. Suppose 0 = f + s*o - 17, 4 + 7 = 3*f - 2*o. Suppose -3*v = -3*h + f*h + 13, 4*h = -4. Put 4, 2, v in decreasing order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 2*t = 48, b + 5*t = 33. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -14*c**3\/3 + 7*c**2\/2 - 2*c - 22. Let l be k(2). What are the prime factors of (-66)\/l + 366\/4?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prxew. What is prob of sequence wp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 + -11.8693892.\nAnswer: -45.8693892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/12? (a) 8 (b) 0.00959 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*z - 84 = -120, 5*z - 20 = 0. Solve 0 = -16*y + 14*y + 2*t - 2, -g*t - 16 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 - i**3 + 3*i**2 - 33*i. Give m(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685846 is divided by 228607?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 3551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 1\/5 (b) -1\/4 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2684 - 127032?\nAnswer: -124237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 252 - -340. Let c = -1667347\/2670 + -34\/1335. Let s = c + p. Calculate the common denominator of -67\/18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4930 and 77938370.\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/7 + 1132*x**3\/7 + 421728*x**2\/7 + 49614160*x\/7 - 111485936.\nAnswer: (x - 14)*(x + 382)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -38065 * -0.03\nAnswer: 1141.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 58. Suppose s = t - 1. Let y(k) = 2 - 6 - t*k - 2. Let w(c) = 17*c + 17. Determine -4*w(b) - 11*y(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h, -2*r + h = 4*h - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.2 (b) 5 (c) -3\/8 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + k**2 - 63*k + 63*k)*(0 + 0 + 2)*(33 - 1 + 185).\nAnswer: 434*k**2 - 11284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12708 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6514 - -6643. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 0.201\nAnswer: 2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 1 - 1)*(2*k + 7*k + 0*k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 3115a?\nAnswer: -31155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4\/9 - 14*o**3\/9 - 6886*o**2\/9 - 15190*o\/3 + 22100 = 0.\nAnswer: -51, -10, 3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 18\/7, -0.1, 51\/19, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27230 is divided by 6784.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**3 - 23*i**3 - 17*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17730 - 17699. Let v(j) be the first derivative of -9\/4*j**2 + w + 1\/2*j**3 + 1\/8*j**4 - 27\/2*j. Suppose v(o) = 0. What is o?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 32 = 4*b, -7 + 16 = 2*c - 3*b. Let x(z) = -z**2 + 5*z - 1. Let o be x(4). Solve c = -l - o*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(130) + (sqrt(130) - 2*sqrt(130)) + sqrt(130) - sqrt(130)) + 6*sqrt(130)*-1)\/((sqrt(70)*-1)\/sqrt(7)*-6).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.484036mg?\nAnswer: 0.000006484036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3321346 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/4*(-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*q + 3*q. Let l be (q - -3)*6\/(1 + 5). Suppose -d + 2*v = -2717, 2*v + 8116 = 3*d + l*v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/((-3)\/35)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23869994 is divided by 5188?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Suppose 25 = l*i + s, 1 + 24 = 5*i + 2*s. Let j be (-12)\/15*90\/(-36). Solve i*m = 5*b - 5, -5*m = j*b + 4 - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + p - 1. Let b(c) = -3*c**3 + 5*c - 6. Let v be 2 + -1 + 0\/(-2). Let s = 2 - v. Give s*b(o) - 4*a(o).\nAnswer: o**3 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((87*h - 238 + 238)*(-h**2 + 2*h + 0*h + 0*h**2) + 0*h**3 - 2*h**3 + h**3)*(0 + 0 - 1).\nAnswer: 88*h**3 - 174*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5*i**5 + 34345*i**4 + 723400*i**3 + 349960*i**2 - 37629200*i + 67522000 = 0.\nAnswer: -14, 2, 5, 6890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0.2, -9, 61, -2\/9 in descending order.\nAnswer: 61, 0.2, -2\/9, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2 - i. Let n be 5\/2 - (-3)\/(-6). Let v = 4 - n. Suppose v*r = 6*r - 4. Give f(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49560*w - 49555*w + 0 = -5, -10 = j + 4*w for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**2\/3 + 9267196*k\/3 - 10735115212802\/3 = 0.\nAnswer: 2316799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -45760 (base 8) in base 9?\nAnswer: -28600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -15.93. Let z = 0.347 - -1.867. Let p = z + -0.214. Which is the fourth smallest value? (a) -4 (b) p (c) -1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -5*y - 68, 58 = -2*y - 2*y + 2*k. What is y rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/13 and 3.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 n when three letters picked without replacement from nnbbbbnbnn.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/31*(5\/(-10))\/(2\/16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2. Let j(h) be the second derivative of -h**4\/6 + 2*h**2 - 12*h + 3. What is j(v(f))?\nAnswer: -8*f**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -5*x + 25, -3*h - 16 = 4*x - 35. Put -14, h, 0, 3 in increasing order.\nAnswer: -14, 0, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 95 = -5*i, -13*i - 2*t - 167 = -107 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3673*l - 3. Let o be u(-2). Let s = o + 43991\/6. Find the common denominator of -134*33\/(-360) - (-44)\/330 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.05, -2\/5, -4, 3\/10?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 6042?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-5)*l)\/(l*l*l*l**2*l*l)*l*l**(-5)*l\/l**3)**7 assuming l is positive.\nAnswer: l**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(-3\/8)\/j))\/(j*j\/j**(-19\/5)) assuming j is positive.\nAnswer: j**(-97\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 395 = -67. Let g be w\/5 + 2\/10. Suppose 5 - g = -2*j. Calculate the remainder when 25 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 1. Let f = 2\/343 + 339\/686. Let s(a) be the first derivative of -f*a**2 + 0*a - 3. Calculate -2*h(b) + 7*s(b).\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**2 - 2*r + 4. Let u be p(-3). Let n = u - 23. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/10528 and -113\/542004?\nAnswer: 30352224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from zaz.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 + 14*i - 6. Let m(h) = -16*h**2 + 71*h - 29. Let j(a) = 2*m(a) - 11*q(a). Let d be j(11). Let p = 6 - d. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s - 16. Let v = -3931 - -3936. Determine y(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -220 - -230. Suppose 61*h + c = 66*h. Let y(b) = b**2 - 2*b - 2. Determine y(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 70472*m**2 + 1915*m + 383. Let k(j) = -369*j**2 - 10*j - 2. Let d(o) = 383*k(o) + 2*x(o). Let c(w) = -11*w. Give d(c(n)).\nAnswer: -46343*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-19)\/h)*h)\/(h*h**(1\/2)\/h*h) assuming h is positive.\nAnswer: h**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15292 - -15294. Let k = 0.8 - 0.7. What is the nearest to k in p, 0.2, -20?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180955.2312 rounded to the nearest ten thousand?\nAnswer: -1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -16*l - 190. Let z(j) = -j**2 + 7*j - 5. Let c be z(5). Suppose c*b = -0*b + l. Calculate the highest common divisor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 + 1870*i**2\/3 + 100312*i\/3 + 193160\/3 = 0. What is i?\nAnswer: -878, -55, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 186389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -2977de9?\nAnswer: 2977de7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.11 - -1.31. What is the nearest to 1 in x, 16, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*c**4*w**2 + 5*c**3*w**2 + c*w**2 - 2*c*w + 25*w**2 + 2 wrt c.\nAnswer: 2208*c**2*w**2 + 30*c*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3927739380.\nAnswer: 2, 3, 5, 79, 828637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -74?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**6\/120 + f**5\/12 + f**4\/8 + f**3\/2 - 2*f**2. Let t be i(-5). Let k = 22 + t. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.053 in -5, -1\/3, -16, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 - 4*n**2 + 16*n + 28. Calculate c(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6236 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o - 3*o + 0*o)*(-3*o + 0*o + o) + o**2 + 5*o**2 - 4*o**2 - 2*o**2 - 2*o**2 + 2*o**2 + 134*o**2 + 148*o**2 - 112*o**2.\nAnswer: 166*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 480999 and 20631.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 11*q - 72. Let v be w(-7). Let n = 348 + v. Solve 4*t - 4*a = -6*a + 2, a = -n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -1 - 7. Suppose -t*m - 283281 = 324719. Round m to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 15*m. Put -5, m, -4, -15 in increasing order.\nAnswer: -15, -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5517544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (7 + -6 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*b - 2*g, -166*b + 2*g + 4 = -167*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - 3*x. Let l(o) = 2*o**2 - 4*o. Let k(n) = -4*c(n) + 3*l(n). Let s(h) = -30*h**2. Determine k(s(t)).\nAnswer: -1800*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5 - 4 = 0. Let m = 321 - 324. Let x be -3*m\/t*-11. What is the highest common factor of 33 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123601 times -2.789\nAnswer: 344723.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2486 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1408679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3885 + -3863. Which is bigger: g or 206\/9?\nAnswer: 206\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -26. Suppose -k + t*k = 2*i + 186, 262 = 4*k + 2*i. Let o(p) = 40*p + 7*p - 15*p + k*p. Let u(x) = -2*x**2. Determine o(u(n)).\nAnswer: -192*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*a - 2*k, 4*a - 5*k = 45. Suppose 0 = a*c + 2*c - 112. Let y be (c\/20)\/(9\/(-5)). What is the closest to -0.1 in 2, y, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4*m**3 + 4*m**2. Let z(i) = 3*i**3 - 5*i**2. Let q(t) = 3464*t + 10388. Let n be q(-3). Determine n*b(h) - 3*z(h).\nAnswer: 7*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419237 is divided by 69798?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3306 + 3314. Let h(w) = -w + 25. Give h(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -47. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*m + 11, -s + m + 4 + 1 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2127.784 + 6254?\nAnswer: 4126.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361076287.\nAnswer: 11, 13, 23, 311, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**3 - 9*i**3 + 16*i**3.\nAnswer: 18*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 8. Let c be u(-8). What is c rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.3 - 6.3. Let v = 31.6 + z. Let m = -198 - -1389\/7. What is the second biggest value in m, v, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 9*b**2 + 21*b - 5. Give v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -63*f - 4 + 2 + 53*f - 1. Let p(m) = -9*m + 50. Let y be p(5). Let r(s) = -7*s - 2. Calculate y*z(q) - 7*r(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 + 11011030?\nAnswer: 11011122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -19\/21, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**3 - 34*y**2 + 4*y + 80. Let a be b(-17). Calculate the highest common divisor of a and 452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6\/5)*n**(-5\/2))\/(n**6\/n)**35)**(-5\/11) assuming n is positive.\nAnswer: n**(1787\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 258822320 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by ((-1638)\/(-189))\/(2\/9).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4760\/357*6\/412 and 99\/14.\nAnswer: 1442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1736 or 1733?\nAnswer: 1733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -5*z + 361. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -1. Let d(c) = c + 3. Let m be 3\/(-8) + (-35)\/(-8). Suppose -m*o + 7 = w - 3*o, o + 18 = 4*w. Calculate w*r(u) + 2*d(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468))**2 + sqrt(13) + -5 + sqrt(52)\/sqrt(4).\nAnswer: 14*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -37*v + 33*v + 16, 0 = 4*v + u - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqlvblu. Give prob of picking 1 v, 1 m, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let h(m) = 2*m + 16. Let i(r) = h(r) + 3*x(r). Let d be i(19). Sort d, 1, -1 in descending order.\nAnswer: 1, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1831a - -11?\nAnswer: 18330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.676929 - 1198102.\nAnswer: -1198084.323071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, p: 3, k: 12}. What is prob of sequence kk?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(144)*-2)\/(sqrt(8) - ((1*sqrt(80))\/sqrt(10) + sqrt(8))) + 0.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 52. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 4967, 16861, 40041, 78269, 135307?\nAnswer: 214917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9)*21\/2. Let m = -5 + 6. Solve 3*z + m = 2*j, -j - x = -3*j - 3*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Let y(k) = 327*k**2. What is v(y(q))?\nAnswer: 213858*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbggbmgbgiggmm. What is prob of sequence mgbg?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 19 - 118 - 5*v - 70 to the form g + u*v and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - 373 = 277. Let n be ((-2886)\/o)\/(3\/20). What is the highest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from dajajjajj?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1937*j - 1928*j - 656 = -3824*j for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 2*p**2 - 2*p - 3. Let s be q(3). Let i(r) = -r**3 + 5*r**2 - 2*r + s - 2*r + 2. Suppose 0*v = -3*v - 5*y + 7, 4 = -4*y. Calculate i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x + 795 = 0. Suppose -5*t = -85 - x. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 1 e when three letters picked without replacement from {b: 1, j: 4, l: 1, n: 4, e: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1274490)\/(-1078) + (-16)\/(-22). Calculate the greatest common factor of s and 8450.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1148*n**5 + 4*n**3 + n**2 - 2392*n + 3.\nAnswer: -68880*n**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 304202?\nAnswer: -304210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 61. Calculate q(38).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16891*a + 17219*a + 10829 = -19347 for a.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 23. Is (-910)\/(-45) - 4\/n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189313?\nAnswer: 23, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 43370000 to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -13*i**7\/105 - 28*i**6\/75 + 7*i**5\/10 + 11*i**4\/3 + 68*i**3\/15 + 8*i**2\/5 + 746*i. Determine l, given that u(l) = 0.\nAnswer: -2, -1, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vacsasvaasaas. Give prob of picking 1 a and 1 v.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4 and -17\/12328?\nAnswer: 12328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 12438 = -c. What are the prime factors of c?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105639419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 4*d + c, -5*d - 149 = -5*c + 106. What is the common denominator of 15\/49 and d\/125 + (-46)\/910?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 + z + 28. Let s be u(-5). Suppose -30*p = 28 - s. Solve y + 3*y - 2 = 2*w, -p*w + 14 = y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9 - 16 = 0. Let i = t - 11. Let x = 14 + i. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -32. Suppose u*p - 3*p + 186 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723.099 kilograms to micrograms.\nAnswer: 723099000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.19 + 2.19. What is the second smallest value in l, -1, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5141, -20488, -46089, -81962, -128125, -184596, -251393?\nAnswer: -328534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2040 - 1313455?\nAnswer: -1315535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652639, 652633, 652617, 652585, 652531?\nAnswer: 652449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g + 5. Let q be m(-3). Let a = 3 - q. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.12099 and -0.24?\nAnswer: 0.2690376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 27*p**2 + 29*p + 24. Let u be j(-28). Let v(h) = h**3 + 3*h**2 - 4*h + 5. Determine v(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5036 (base 7) to base 15.\nAnswer: -7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*f**2 + 39*f**2 - 134*f**3 - 722 + 133*f**3 + 241 wrt f?\nAnswer: -3*f**2 + 142*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 3*1\/3. Let m(j) = 2*j**3 - 3*j**3 - 2 + 6. Calculate m(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a - 30. Let x(f) = -f**2 - 29*f + 119. Let s(z) = -9*o(z) - 2*x(z). Let q be s(-8). Round q to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*m + 621 = 3*l, 3*l = -2*m + 899. Let q = -321 + l. Is q less than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-445)\/(-267))\/(-1*1\/(-3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*h**2 - 55*h**2 - 53*h**2 - 36*h**2 - 24*h**2.\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*f + 5, 2*f - 30 = -6*z + 2*z. Suppose 2*s + 383 = 387. Sort 0, z, 3, s in descending order.\nAnswer: z, 3, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 12*q. Let t(l) = -3*l - 19*l - l - 12*l. Give t(u(d)).\nAnswer: -420*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g, -5*y - 2*g + 1796 = 2*g. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -354 + -251?\nAnswer: -625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18081789 or 18081849?\nAnswer: 18081789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 0, 1\/6, -0.0873, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t - 10, -3*l + 5*t + 256 = 0. Let z = l + -71. What is the greatest common divisor of z and 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-16\/9)*k**22)**(-1\/20) assuming k is positive.\nAnswer: k**(-91\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 0, -2*x - 2*x + 56 = 5*v. Let q(t) = t + 7 + 10*t - x. Let k(o) = -16*o + 3. Determine 5*k(n) + 7*q(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 17 = 7*t - 2*m, -m = -36*t - 109 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25*16\/12)\/((-8)\/18).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.815 - 27.215. Let z = -16 - -24. What is the third smallest value in 0.4, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjhghggg. Give prob of picking 1 g and 2 h.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44*7\/(-672)*-219. Are 99 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 16\/(-2))\/1. Suppose -v = -5*w + 17, -7*v - 16 = -2*v - 2*w. Let p = q + v. What is the lowest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1925165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from njjnisrnrnjrjrji.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 591, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose 12 = 2*r - n. Is r\/9*3 + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52275475 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8523267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*w = w + 12, 2*w - 8 = h. Let u be 4 - (0 - (-4 - h)). Are u and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 108 + 448?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:01 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 = -3*h. Let n = -18232 - -18229. Let x(j) = j**3 + 3*j**2 + j + 5. Let b be x(-4). Sort b, n, h, 5 in descending order.\nAnswer: 5, h, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 - 54. Let s = 0.4 + -2.4. Sort s, k, -0.5 in decreasing order.\nAnswer: k, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-175)\/((-1 + -3)\/40). Round c to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3\/9 + 186*u**2 + 117040*u\/3 + 349448\/9 = 0.\nAnswer: -418, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45692.43 - 45509. Round r to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(81)*-3 - sqrt(9))\/(sqrt(3) - (sqrt(6)\/sqrt(2) + sqrt(3))*-3))**2.\nAnswer: 300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/159 and 22\/319995?\nAnswer: 16959735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 0*v + 2*v)*(-29 + 70 - 109)*(4 - 4 - 2).\nAnswer: -816*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 3:49 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -7*-265080.2\nAnswer: 1855561.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -460361 and 146.55.\nAnswer: -460214.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 910.8232t?\nAnswer: 910823200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 - 186?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6752639*f - 11*f**2 + 6752639*f.\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10592 is divided by 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 225\/324 + 1\/(-4). What is the closest to -0.1 in -3\/2, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 6*d - 5. Let p be t(-4). Let r = 9 + -5. Let w = -1.25 - -0.25. What is the third biggest value in w, p, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**4 - d**3 - 18*d**2 + d - 14. Let k(s) = s**3 - s**2 + 2. Let v(b) = -14*k(b) - 2*t(b). Find the third derivative of v(u) wrt u.\nAnswer: 144*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 0.15582?\nAnswer: 3.15582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110100010111 + -100010001110111?\nAnswer: 1100010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8b + -d36?\nAnswer: -cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -94*h - 6. Suppose -43*d = -42*d + 3. What is the tens digit of k(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12315*b. Let n(c) = -2*c - 147. Give n(m(g)).\nAnswer: -24630*g - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -39, 10, 61?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7295 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192 smaller than 4112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2\/13 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/127? (a) 0.09 (b) 0 (c) 3 (d) -0.11 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 544, 2202, 4960, 8812, 13752?\n\"Answer: -a**3 + 556*a**2 - 3*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -13. Let a(j) = 8*j**3 + 6*j**2 + 7*j - 8. Let f(z) = 15*z**3 + 11*z**2 + 13*z - 15. Let i = 81 - -47. Let g = -117 + i. Give g*a(s) + r*f(s).\nAnswer: -2*s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 3\/16 (c) -2.2298 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r - 8 = -k, -10 = -k - r. Let j(t) = -2*t - 2*t**3 + t**3 - 9 - 16*t + 5 - k*t**2. What are the prime factors of j(-9)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w - 4. Let d(q) = 11*q - 3. Give -2*d(k) + 3*z(k).\nAnswer: 14*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -1)\/((-2)\/(-1)). Suppose c + c + 3*h - 12 = l, 0 = -c - h + 4. Suppose g + 4*g - 20 = c. Calculate the smallest common multiple of 14 and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*q - 244*q + 130*q - 334*q = -27565 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**4 + 23699*m**3\/3 - 52633*m**2\/3 + 34205*m\/3 - 1754 = 0.\nAnswer: 2\/9, 1, 2631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-2\/5)\/((((v\/(v**(-8)*v*v))\/v)\/v)\/(v*v**1)) assuming v is positive.\nAnswer: v**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 180. Is 37 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 42.8 (b) -2\/23 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j + 1. Suppose 5*m - 9 - 31 = 0. Let w = m - 6. Suppose -1 = -w*k + 3*k. Give h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 0.1, 0, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14356099 divided by -2?\nAnswer: -14356099\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3482 or 3492?\nAnswer: 3482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30716.44 decades in centuries?\nAnswer: 3071.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n + 2 - 94*n**2 - 93*n**2 + 199*n**2. Calculate p(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3*-3 + 3 + 5 + sqrt(117) + 5 + (5 + sqrt(117) + -2 - -4*(sqrt(117) + 0)))**2.\nAnswer: 1440*sqrt(13) + 26581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*o = 20, 4*i - 2*o + 0 - 2 = 0. Let n(l) = 32*l**3 + l**2. What is the common denominator of -4\/5 and n(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 754 + 911 = -6*t + 3*q + 1518, -5*t + 67 = q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4\/4 + 2. Let u(b) = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 12:24 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 54, -17, -88?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/38*5*(-182)\/140*14\/(-1)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 177 + -158 + (-1 - -4)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242696, 8, 3, -2, 4 in increasing order.\nAnswer: -2, 3, 4, 8, 242696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Suppose d + 29 = l*i, 0 = -5*i - 2*d - 2*d + 31. What is the remainder when 18*1 + (-2)\/(-2) is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 12869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 8*u**2 + 2*u + 11. Let w be m(-8). Let y(q) = -2*q - 1. Let x be y(w). What is the greatest common divisor of 9 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is aab078 (base 12) in base 7?\nAnswer: 32034545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (476 + 668 + 697)*(1 + n - 2*n + 1)*(-1 + 2 + 0) to x + y*n and give y.\nAnswer: -1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131399.4 + 29958.\nAnswer: -101441.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlnnnlnynnnll. What is prob of sequence ly?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 7. Let d(y) = y**3 + 8*y**2 + 8*y + 4. Let o be d(-7). Let m be (-4)\/(-30)*o\/(-2). Which is the second smallest value? (a) 0.3 (b) x (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.55155 + 0.04845. Is 185 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 6:46 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oii when three letters picked without replacement from wowwwiaoiowiilsss?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 + 25*t + 21. Let x be f(-4). What is the greatest common factor of x and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -70. Calculate the lowest common multiple of g and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606625 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 2680*i - 6612*i - 9195*i + 14.\nAnswer: -18487*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*(-13)\/16146*-9?\nAnswer: -2\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - u + 3)*(5*u**3 - 4*u**3 - 2*u**3) + 4*u**4 - 2*u**4 + 0*u**4 - u**4 + 4*u**4 - 4*u**4 - 127*u**4 + 2*u - 23*u**4 - 12*u**4.\nAnswer: -160*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gllgg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5984189*v**2 + 12834217*v wrt v.\nAnswer: -11968378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.951129 from -2.\nAnswer: -3.951129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -14. Solve f*s = -m - 22, 4*m - 2 = -4*s + 2*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -9*s**5\/4 + 7*s**4\/12 + s**3 + 15*s**2 - 22*s. Let o be w(-13). What is o rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 4a1?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 15) in base 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 119748666 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3529, -3514, -3483, -3430, -3349, -3234?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 296, 590, 884, 1178?\n\"Answer: 294*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*b - 213 = 6, 2*b + 126 = 2*p. Suppose -4*w = -5*k - p, -5*k + 5 - 69 = -2*w. Does 5 divide (20\/3)\/(k\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -105\/4. What is the nearest to 1 in 5, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d + 5*t + 1625 = 0, d - 3*t = 317. Let r = d + -330. Suppose -2 = 2*g - 6. What is the nearest to -10 in g, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((11*a + 4*a - 3*a)*(-37*a + 3 - 3) + (2 - 1 - 2)*(a**2 - 2*a + 2*a) - 2*a**2 - 2*a**2 + 3*a**2)*(-3 + 0 - 8) to g*a + m*a**2 + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5 + 2*sqrt(17)*-4*-4 + -1*((sqrt(425) - 1*sqrt(425)*5) + sqrt(425) + sqrt(425)))**2.\nAnswer: 420*sqrt(17) + 30012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 138328.88 - -0.158407\nAnswer: 138329.038407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y**(-2)*y\/y**5*y*y**(5\/4))\/((y**(-1))**(-1\/9))**(-47) assuming y is positive.\nAnswer: y**(341\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:40 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/(255\/12))\/(8\/6).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {h: 5, j: 4, w: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 10\/(-1*2). Suppose 6*y = y + 100. Suppose 30 + y = c*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684339800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 10) to base 14.\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 4*h**3\/3 - h**2\/2 - 19*h + 18. Is z(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a)**(-2\/57)*(a**(4\/9))**(2\/7))**(-8\/19) assuming a is positive.\nAnswer: a**(-2864\/68229)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 13) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -2, -0.4, 1052, 16 in ascending order.\nAnswer: -2, -0.4, -0.3, 16, 1052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*p = 1652 - 4712 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2165351289 to the nearest integer?\nAnswer: 46533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0.5, 0.09191 in descending order.\nAnswer: 0.5, 0.09191, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 9*f - 459. Let i be u(46). Sort i, 5, 2, 1 in descending order.\nAnswer: 5, 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318437 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 812*j - 836*j + 6*j**2 + 3*j**3 + 0*j**2.\nAnswer: 3*j*(j - 2)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 + 10*g**2 + 14*g + 30. Let j(k) = -4*k**3 + 18*k**2 + 26*k + 58. Calculate 6*j(t) - 11*v(t).\nAnswer: -2*t**3 - 2*t**2 + 2*t + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 964*r**2 - 25*r + 258*r**3 - 1920*r**2 + 956*r**2 + 1 wrt r.\nAnswer: 1548*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((215\/(-1204))\/((10\/1)\/(-2)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 5.4. What is the second smallest value in -3\/4, j, -4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5964689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30.96, -2\/11, 0.4, -2, -1\/4, -62\/319?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**6\/30 - h**4\/6 + 13*h**3\/6 - 11*h. Let t(g) be the second derivative of w(g). What is the derivative of t(i) wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**4 + 3*s**4 - s**4 - s**4 - s**4 + 3*s**4 - 4*s**4 + 0*s**4 + 2*s**4 + (-5*s - 2*s**2 + 5*s)*(0*s**2 + 2*s**2 - 4*s**2).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 189.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -159 + -2616?\nAnswer: -2775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 171*k - 5. Suppose 6*o = 3*o + 12. Is u(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10*u = 40. Suppose 0 = -2*j + 4, -3*j - 1 - 1 = -2*g. Calculate the remainder when 8 is divided by (g + -3)\/(1\/u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - 77\/(168\/35 + -5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1064*h**2 + 438*h + 1211884 with respect to h.\nAnswer: 2128*h + 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gffg when four letters picked without replacement from {f: 2, g: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 27*z - 277 = 0. Let g = z - 271. Calculate the remainder when 41 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 6:54 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -24. Suppose -5*r = 4*a + 36, -8 = 9*r - 8*r + a. Let b be 1*(-4 - r)\/(-1) + -3. Sort b, -0.02, x in decreasing order.\nAnswer: x, -0.02, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/60)\/((-8)\/(-16))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-153784)\/35992 + 3\/11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {r: 6, l: 3, n: 1, e: 3, h: 1, k: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 799569*a*h**2 - 9*a*h - 15684*a + 187*h**5 - 20*h + 8 wrt h.\nAnswer: 1599138*a + 3740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 965907\/5 - 193169. Let q = 7425 - 876119\/118. Find the common denominator of q and d.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*r = 9, 4*r - 5 = -3*d + 2*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 69, 175, 377, 711?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t + 0*t**3 + 7*t**2 + 0 + 5\/6*t**4. Let w(g) = g. Let u(k) = 11*k. Let n(z) = u(z) - 4*w(z). Calculate -6*d(v) + 17*n(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 235607153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -10, -0.3, 15\/11, 6\/7 in descending order.\nAnswer: 15\/11, 6\/7, 0.4, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*p*r**3 + 1367*p + 2*r**3 + 213*r**2 + r with respect to p.\nAnswer: 14*r**3 + 1367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1936 times -22.162\nAnswer: -42905.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i + 2*i + i.\nAnswer: 19*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, e: 7, l: 2}. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2339699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*q + 34 = -8, -r + 2*q + 18 = 0. Let c = r - 6. Solve 3*l = -4*f - 16, c*l - l = 4*f - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10812392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -11. Let w(u) = u**3 - 8*u**2 + 3*u - 9. Calculate the remainder when 54 is divided by w(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - s. Let x be (-26)\/10 + (-12)\/(-20). Calculate the remainder when -5 - -8 - (-51)\/(-6)*-2 is divided by a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/69 and -53\/33?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3088 = -7*d + 6425. Calculate the remainder when d is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/8, 0.1119, 3\/2, -0.5 in ascending order.\nAnswer: -0.5, -3\/8, 0.1119, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 13*q - 6. Suppose -11 + 4 = -r. Let n = 6 + r. Is y(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27821.794 + 1270536.\nAnswer: 1298357.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 3749 + 5\/((-50)\/160)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from yusnuuy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 21.9, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1229008, -2458031, -3687054?\n\"Answer: -1229023*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-301)\/903)\/(4\/9)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 115*a + 72*a)*(-31 + 31 + 5*a).\nAnswer: 925*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 8:14 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3937\/124653 - 5\/1123. Is u > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 3:41 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 404938.3l in millilitres?\nAnswer: 404938300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041 + 527 = -15*p - 424 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1302, 2555, 3812, 5073?\n\"Answer: 2*r**2 + 1247*r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - (2 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -9*i**4 - 264*i**3 - 1845*i**2 + 1350*i = 0.\nAnswer: -15, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h - 3. Let w(l) = 1. Let o(b) = -3*c(b) - 21*w(b). Let t(a) = -1. Let m(x) = -o(x) + 18*t(x). What is the units digit of m(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - -2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 968, 3359, 8048, 15803, 27392?\nAnswer: 43583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 455445761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kpkd when four letters picked without replacement from kgkkdkpapdgp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1)\/(w*w**15) assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1460583 is divided by 777?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 12:59 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5758323139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12636 - 2441?\nAnswer: -15277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.03842 to one dp.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*k + 37*k + 98 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -900\/57361 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l - 3*l + 0*l)*(1 - 4 + 1) - 58*l + 8*l - 12*l to the form s + h*l and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-98)\/(-35))\/(-7))*1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b - 2*b - b + 2*b - 1. What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 164\/14 + (-10)\/(-35). Calculate the greatest common divisor of 48 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -7 (c) -0.36 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**5 + 32*w**4 + 92*w**3 - 288*w**2 + 162*w.\nAnswer: 2*w*(w - 1)**2*(w + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 126, 165, 140, 75, -6, -79, -120?\n\"Answer: 4*s**3 - 56*s**2 + 179*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 0 + 0*w**3 + 0*w**4 + 17*w - 1\/10*w**5 + 31\/2*w**2. Differentiate a(t) with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqvcm. What is prob of picking 1 v, 1 l, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3de (base 16) in base 2?\nAnswer: -1111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -3039?\nAnswer: 5\/3039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/12 + 459\/42)*14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -j - b - 3, 5*j - 5*b = -45 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 3*s + 19*v - 1, 8 = 5*s - 3*v. Is s not equal to -6\/203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 10:32 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -43365?\nAnswer: 43361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -48637, -48627, -48605, -48565, -48501, -48407, -48277?\n\"Answer: y**3 + 3*y - 48641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843.2059l to millilitres.\nAnswer: 843205.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*((-129)\/6)\/((-9)\/(-6)). Suppose 595 = 6*b + r. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00094271 rounded to five dps?\nAnswer: 0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -69. What is the greatest common factor of v and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, g: 5, x: 1, d: 3, n: 1, l: 1}. What is prob of sequence dj?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/65 - -41\/65. Let z = 10.962 + 0.038. Let o = 8 - z. Which is the third biggest value? (a) i (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 2*c**2 - c**2. Let o(q) = 221*q + 364. Let n(h) = 21*h + 35. Let j(i) = 52*n(i) - 5*o(i). What is j(w(x))?\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -443 - -9?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-328)\/492*(-6)\/(-40)*-1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3016 and 928?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 17*a - 2*x + 7 = 0, -10 = -2*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1144 + 31420?\nAnswer: 33004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 30*d - 4. Calculate the remainder when 103 is divided by n(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 46*w**2 - 12*w + 128. Calculate the lowest common multiple of 34 and l(4).\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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 the remainder when 79 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -680 and -0.8?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3 - 533645*f**2 - 1067305*f - 533655 = 0.\nAnswer: -1, 106731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -12) + 3 - ((10 - -11) + -18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a millennium in months?\nAnswer: 13000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 6. Let w be r(5). Let y = 253 - 2781\/11. Which is the closest to 1\/4? (a) y (b) w (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190986690?\nAnswer: 2, 3, 5, 6366223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 2. Let h = -2287 - -2292. Let p(g) = 0 + 2 - 5*g + 1. Let a(o) = h*p(o) + 8*q(o). What is a(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + p + 12 = 3*i, -2*i = 4*p - 16. Solve i*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133423142343 - -3?\nAnswer: 133423142401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bibbrrbwgggbrr. What is prob of sequence rigg?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30113 + 2?\nAnswer: 30121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 410*k*w*z**4 + k*w*z - 146*w*z**2 + 5*w + 85497*z wrt z?\nAnswer: 4920*k*w*z**2 - 292*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 11}. Give prob of sequence pp.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/278027 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3013*a**5 - a**4 + 9668*a**3 + 2755255*a**2 - 16?\nAnswer: 180780*a**2 - 24*a + 58008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) 1052 (c) -2\/29 (d) 1\/7 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*z - 10322, t + 4*z - 969 = 1602. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2063*m**4 + 41*m**3 + 2*m**2 + 222161*m.\nAnswer: 24756*m**2 + 246*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**3\/3 - 2*i**2 - i - 1. Let h(q) = -q**3 + 13*q**2 - 3. Let a be h(13). Let s be m(a). Solve s*w + 2*w = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 + 2.5. Let g = -0.04 + 6.04. Let p = -4 + g. What is the nearest to p in u, -1\/5, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*z. Suppose 4*g - 11 = y, 2*g + 17 = 3*y + 2*y. Suppose g*m - 5*w = 96, -z*w = 2*m + 2*w - 22. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-3)\/(-28)) - 2. What is the remainder when (-4)\/((-30)\/y - -1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/(-25 + (-75809)\/(-3034))\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10210001111 (base 3) to base 4\nAnswer: -102022132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 5*m + 1659. Let l be g(0). Is (l\/(-14))\/(6\/(-8)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 20*(-5)\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -138, -1\/2, -3277?\nAnswer: -3277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 4*h - 14. Let s be w(-6). Put 74, -3, s in descending order.\nAnswer: 74, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15*(-30)\/54 + (-2)\/3. Let d be m + 3 + (5 - -4). Suppose -2*b + f - 13 = -3*b, 3*b - 38 = -2*f. Calculate the highest common divisor of b and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.80758 to zero decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 5*y**2 - 7*y + 6. Let n be x(-6). Let l be ((-6)\/n)\/(2\/(-20)). What is the units digit of 2\/4 - l\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 37. Let a = 13 - j. Suppose 4*r - 12 = -0. Is a at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 112.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (2 - (-18)\/(-2)). Suppose -k + y = 2. Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0*q**2 + 1\/6*q**3 + 0 + 1\/12*q**4 - 2*q. Let t(g) = -g**3 + 3*g**2 - 2*g + 1. Let i be t(2). Give b(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - g = -12, -7*n + g - 8 = -8*n. What is the highest common divisor of 932 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 12:51 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 62447, 62449, 62451, 62453, 62455, 62457?\n\"Answer: 2*l + 62445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9551*n**3*p**2 + n**3*p - 6*n**2*p**2 + 2*n**2*p + 758*n**2 wrt n.\nAnswer: 57306*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -2\/7, -0.75, -1.9, -79?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101975 is divided by 10122.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 473 - -1481. Calculate the remainder when b is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 805\/225 + ((-4)\/27)\/((676\/78)\/(-13)).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fddox. Give prob of picking 2 d, 1 f, and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/50 of a millisecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.03 (c) 1\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3335 - -3?\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403147 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: What is the value of 9 - (4 + 162\/24)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 10891\/(-8) - 99\/264 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/6 - 1529*z\/2 - 4581 = 0.\nAnswer: -4581, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - -2 - (2 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o + 17*o + 2580 = 61*o - 0*o for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/81*(-6)\/(-18)*85\/(-170).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (-9 - -18)) + (-5 - 1) + -10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d + 4*d - d - 2 + 1 + d**2. Let t be c(4). Solve t*g = -2*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a**3 + a**2 + a. Let i(z) = -z**3 + z. Let l = -125 - -122. What is l*i(v) + p(v)?\nAnswer: -2*v**3 + v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 + -162. Suppose 23*w + 20 = f*w. What is the lowest common multiple of 40 and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -35*y - 629. Let k be t(-18). Let w be (-78)\/(-8) + 1\/4. Put -2, -3, w, k in decreasing order.\nAnswer: w, k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 16, 280, -2, 3, 4.\nAnswer: -2, 0, 2, 3, 4, 16, 280","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 922*g + 65452. Calculate i(-71).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w - 88*w + 435 = 123 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggj when three letters picked without replacement from jghcjrg.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2 + 189422*t + 8970173521 = 0 for t.\nAnswer: -94711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-58)\/16)\/(2\/24) and (-24)\/55 + (-2)\/10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 17 = 4*m, 25 = 4*z + 5*m. Suppose z = 2*n - 5*w - 46, 3*w = 2*n + 3*n - 77. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d. Let y(t) = 110*t**2 + 6738*t. Give y(k(r)).\nAnswer: 1760*r**2 - 26952*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*v + 12 + 63 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcvx when four letters picked without replacement from xnccnllncvncvnn?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254627135 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -9 (c) 6 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32ea13 (base 15) in base 6?\nAnswer: -124020513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123.68 - -12.08. Let b = -90 - i. Let y = 14 - b. What is y rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86800 = 4262*z - 5998*z for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38015 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1573) + 0 + sqrt(1573) + sqrt(1573) + sqrt(104)\/(sqrt(200)*2 + sqrt(200)).\nAnswer: -1 + 496*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 23*z**2 - 16*z - 2. Calculate f(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 399235 a multiple of 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23852670572+-62\nAnswer: -23852670634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 8*c**3\/3 - 7*c**2 + 18*c - 276. Let j(h) = 3*h**2 - 5*h + 6. What is -14*j(b) + 5*y(b)?\nAnswer: -2*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 1. Suppose t + 4*u - 21 = u, g*t - 35 = 5*u. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 123 in 0.4, -2, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 42*p**2 - 34*p - 392. What is h(43)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 - 2?\nAnswer: 1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -40\/77?\nAnswer: -40\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbfrwrborbfwrogwbbr. Give prob of sequence bwbg.\nAnswer: 5\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186*b**4*s**2 - 104380*b**4*s + 4*b**3 + 152*b**2*s + 33*b*s**2 + 38*s**2 wrt b.\nAnswer: 4464*b*s**2 - 2505120*b*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 85 - 65 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 5*w**2 - 7*w - 4. Suppose -4*m = -7*m + 90. Suppose f = 6*f + m. Calculate the smallest common multiple of 8 and h(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168128 and 7938936.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2364703 is divided by 835.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -32. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 10. Let d = -47 - -39. Let u be z(d). Let y be u*(-77)\/2*12\/14. Calculate the greatest common divisor of y and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 421101114 (base 5) to base 12\nAnswer: 6b970b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 10010?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 1:11 AM?\nAnswer: 61","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 541 a factor of 87638880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 279*k - 11. Let q(v) = -13*v - 2. What is 5*q(c) - x(c)?\nAnswer: -344*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0 + 16. What is the remainder when g\/(-3)*105\/10 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*k - 84, 45 = 4*h + 5*k - 67. Is (h\/(-10))\/((-1)\/15) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -48*w - 1. Let r(q) = -26*q**2. Give a(r(z)).\nAnswer: 1248*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42.908, -3\/2, -22.4, 2\/3, 5 in ascending order.\nAnswer: -22.4, -3\/2, 2\/3, 5, 42.908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1460)\/876*((-2)\/(-3))\/1*-9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2662) + sqrt(2662))\/(sqrt(4)\/sqrt(200) + sqrt(2)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = 39*v + 4*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -74*u**3 - 9*u**2 - 13. Let z be q(10). Let m be z\/(-38)*(-4)\/780. Let t = m - -12\/1235. What is the common denominator of t and 101\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4\/7 + 3*g**3\/7 + 9*g**2\/7 - 15*g\/7 + 6\/7 = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 11*k**2 - 57*k + 20. Suppose 4*u - 7*f + 8*f = 62, 5*u = -4*f + 72. Calculate the least common multiple of r(17) and u.\nAnswer: 17840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/7 + 2 + (-1223)\/(-8561)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439317357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, j: 1, x: 10, l: 1, g: 1}. Give prob of picking 1 g, 1 j, 1 x, and 1 u.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -6. Suppose -2*u = -f*u + 4. Suppose 57 = u*h - h. Calculate the lowest common multiple of h and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -471*d + 5184. Let b be i(11). Let m(t) be the second derivative of 32*t - 1\/60*t**4 + 1\/15*t**b + 0 + 0*t**2. Factor m(o).\nAnswer: -o*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 12 = 4*q - 9*q, -16 = 4*f - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037864 rounded to four decimal places?\nAnswer: 0.0379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.056*-570530.\nAnswer: -31949.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dd036c + -4?\nAnswer: -dd0371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h - 5*l, -h + 6 = -2*l - 3. Suppose -90 = h*b - 11*b. Calculate the highest common factor of b and 375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*f + 6, 2*t - f = 4*f + 33. Suppose -2*p = -11 - 29. Let g = p - t. What is the remainder when g is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -196, -2\/19, 1\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 - 7*g**3 + 5 + 3*g + 3 + (g + 2*g + 0*g)*(2*g**2 - 3*g**2 - g**2) - 3*g**3 + 0*g**3 + 12*g**3.\nAnswer: -4*g**3 + 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -159\/8. Let v = -10053\/4 + 2513. Which is the nearest to 0? (a) 5 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-9)*(-13)\/9945*-34.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3 + 2 + 3*g + 0 + 0. Let l be z(2). Solve j - 15 = -5*n + 1, 13 = l*n - 2*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44770 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.13 - -241.87. What is the nearest to -0.1 in q, 6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1021 + -1021. Sort g, -3, 24 in ascending order.\nAnswer: -3, g, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1120 and 1440?\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) - (sqrt(171) - 2*sqrt(171))) - sqrt(171))\/(sqrt(9) + sqrt(1089) + -2*sqrt(1089)).\nAnswer: 13*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = i + 2 - 4, -a - 2 = -i. Solve 3*d + 4*b + 20 = 5*d, 3*d + b - i = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15)\/(w\/(w*w**(-1\/25)*w*w)))\/((w*(w\/((w*w**(-6\/5))\/w))\/w)\/w*w**(5\/3)) assuming w is positive.\nAnswer: w**(-58\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 + 372*k + 375*k - 747*k + 3.\nAnswer: 10*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22592?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from illlilllillllllllli.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(72))**2*-3 - (-3 + -2*sqrt(72) + 3)**2.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 4*t**2 - 4*t - 1. Let b(y) = -6*y - 7. Let o be b(-2). Let m be p(o). Let c = m - 11. Let q(a) = -a**3 - 8*a**2 - 6*a + 10. Calculate q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -27*m + 246. Calculate n(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = 4*i + 400*y - 396*y, 178 = 11*i - 7*y + 2*y for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 0 - (-45450)\/(-12120)*256\/(-6)\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37742 and -2?\nAnswer: -75484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1540 = -990. Suppose 0 = -4*g + w + 250. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1099756 divided by -4\nAnswer: 274939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l - 85. Let b be i(11). Solve -2 = -b*q + 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v*v**(1\/4))**13)**3)**(-14))**(4\/11) assuming v is positive.\nAnswer: v**(-2730\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 411 and 8848.7?\nAnswer: 3636815.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*2\/(224\/(-14)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 2:20 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25084559.\nAnswer: 23, 163, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 18 - (-7 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t - 2 + 2)*(-256 + 22*t - t**2 + 129 + 124) as f*t + r + z*t**2 + n*t**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 60 = -7*p. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10))\/(10\/(-50)). Which is the second smallest value? (a) 2 (b) -1.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - i - 490 = b, 0 = 2*b + 5*i - 196. Let x be -2 + 12 + 2 - -2. What is the greatest common divisor of x and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61812973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12625 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: Is 5 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1095328 and -61\/88?\nAnswer: 12048608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, s: 14}. Give prob of sequence psss.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 1251*g**2 + 24219*g + 8. Give a(20).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*k - 3 = 0, -s - 8*k = -6*k + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 41*s**4\/12 - 1817*s. Let o(w) be the second derivative of w**3\/6 - w. What is b(o(i))?\nAnswer: 41*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*i**2 - 37*i**2 - 2*i - 709 + 73 + 14*i**2.\nAnswer: 3*i**2 - 2*i - 636","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 - 9*z - 395. Let x(y) = -7*y**2 - 16*y - 789. Let a(h) = 5*b(h) - 3*x(h). What is the units digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*v - 168*v + 337*v + 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988, -792, -584, -358, -108, 172, 488, 846?\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 130 - 115 = 0. What are the prime factors of (2 - (-24)\/t) + 9207\/45?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 2*b**2 + 7*b - 4. Let a be 6\/30 + 31\/(-5). Let t be h(a). What is t rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0.1. Let u(m) = 793*m - 15864. Let z be u(20). Which is the closest to 2.1? (a) -0.4 (b) 5 (c) s (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**2 - 5*x - 2. Let g(n) = n**2 + 2. Let v(s) = 1. Let l(q) = g(q) - 2*v(q). Let b(f) = 5*l(f) + w(f). Give b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.34 - -1.74. Let j(b) = -3*b**2 - 7*b + 13. Let g be j(3). Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3bb567b (base 12) to base 11\nAnswer: -681031a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24745, 49487, 74229, 98971, 123713?\n\"Answer: 24742*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:16 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285 + 157. Let z be 2 + 33\/(-21) + (-2554)\/14. Let q = t - z. 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: What is -61874.6 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-117)*52*(-6270)\/(-304)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1199*z - 1960. Let t(k) = -800*k - 1306. Let v(r) = 5*s(r) - 7*t(r). Differentiate v(b) with respect to b.\nAnswer: -395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17777 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x\/(x*x**8*x)))\/x))\/x)**(1\/14)\/(x**(-12\/7)\/(x*x**(1\/29)*x)) assuming x is positive.\nAnswer: x**(1261\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 406*m + 46*m + 69*m + 34386 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**5\/5 - 88*s**4\/5 - 4988*s**3\/5 + 121104*s**2\/5 = 0 for s.\nAnswer: -36, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, 29, 108, 219?\n\"Answer: 16*p**2 - p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*768\/96\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 5*n - 2. Let c = 132 + -59. Suppose -4*r + c = -3*j, -3*j + 6 = 15. What is the least common multiple of r and z(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 + 215152.\nAnswer: 215443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*(sqrt(3)*-1 + sqrt(3)) - (sqrt(3) + 1)*1))**2.\nAnswer: 72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + y - 6 - 8, -2*z + 20 = -2*y. Suppose -4*v + 4 = -z. What is the greatest common divisor of v and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68600 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: How many minutes are there in thirteen quarters of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/((-1888)\/(-59) + (-133)\/4)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -86\/7, 1\/5, -5 in descending order.\nAnswer: 1\/5, -5, -86\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 7*w + 53. Let j be p(-7). Which is the biggest value? (a) -0.4 (b) j (c) 0.404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -19235*r - 10 + 53 - 28 - 15. Let a(p) = -p. Calculate m(a(l)).\nAnswer: 19235*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d = -5*f + 17, 15 = 3*f + 3*d. Let s(t) = 83*t**3 + 2*t**2 - t. Let x be s(f). Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2127\/4 (b) -6 (c) -3 (d) 5 (e) 0.4 (f) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.24 - 3.7928. What is d rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2341, 5, 96 in decreasing order.\nAnswer: 96, 5, 2\/2341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 0, 0.977, -2\/33?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1*4\/16). Let i = 22 - g. Is i > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6859680 a multiple of 744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**10)**(-49)*i**(-2\/17)\/i*i*i**18 assuming i is positive.\nAnswer: i**(7801\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let o(f) = 15*f**2 - 7*f. What is o(v(n))?\nAnswer: 60*n**2 - 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0 - (-109 - -71).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*b + 5 - 62*b - 10*b)*(1 + 0 - 8).\nAnswer: 756*b - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 7*l + 7. Suppose -48 = 3*m - 12. List the prime factors of b(m).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -57 and 0.2.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 1610 = 235*o, 413*r - 417*r = 4*o - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 82\/(1640\/860)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (496\/217)\/((-2)\/7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/12 + 33\/18. Let v be (-1 - -2)*34\/p. Let w = v - 7. What is the smallest common multiple of w and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49133025 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 3.5. What is the nearest to f in 1\/6, -4\/3, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 9*w - 4*w. Suppose -3*j + 0*j = 0. Suppose -w*z + z + 4 = j. Solve -4 + z = 2*v - 2*i, -4*i = -2*v + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 426.7 + -427. Sort 7, w, 3\/7, -0.2.\nAnswer: w, -0.2, 3\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*w + w + 364, 0 = -5*h + 2*w + 362. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 2?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 7567 - 28986. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/98)\/(540\/12600)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + s**3 + s + 0*s - 244*s**4 + 62 + 243*s**4 - s as i*s**4 + m + w*s**3 + p*s**2 + o*s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3688 divided by 3688\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1494 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 0*g**2 - 3 - g**2 + 22*g - 6. Let z be n(21). Calculate the highest common factor of z and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, o: 3}. Give prob of sequence oloo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiaaiauiiaii. What is prob of picking 1 u and 1 a?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/9 (b) 1 (c) 176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(143) - (sqrt(143) - (-1*sqrt(143)*-1 - sqrt(143)))))\/(2*sqrt(891)*2 + 2*(sqrt(891)*1 - sqrt(891) - sqrt(891))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by -44.\nAnswer: 105\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1326*h**3 + 4143*h**3 + 907*h**3.\nAnswer: 3724*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18055846 by 7.\nAnswer: 18055846\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002317789234 to seven decimal places.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/15 (b) -12 (c) 1.8 (d) -1\/7 (e) -30 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*d + 21, -4*i + 2*d = -2*i - 12. Let v be i\/((15\/(-4))\/5). Calculate the smallest common multiple of 10 and 1\/v + (-486)\/(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2953 + -1114?\nAnswer: -4067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 + 87. What is the greatest common factor of 54 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - z + 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1791411 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 197751431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -55620 minus -5?\nAnswer: -55615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or -4.0265?\nAnswer: -4.0265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110242 + -4304110?\nAnswer: -4143313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/94)\/(5*(-132)\/(-2220)) and 6\/235.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = m, 13*z = 14*z + 4*m - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.8 - 0.2. Let i = y - -7. Let x = -23\/5 - -5. What is the nearest to 0 in x, -3, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 5. Let m = j + 63. Let w = m - 30. Solve -o + 11 = -0*o + 4*s, -3*o - w = 2*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500)*6 + (sqrt(500) - sqrt(500)*2)*3)**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(1\/7))\/(h**(-1\/9)*h*h)*(h**2\/h)**36 assuming h is positive.\nAnswer: h**(2203\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:22 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-8)\/(-2))*-2. Let x = 1354\/7 - 193. What is the closest to l in -3\/2, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/40 - d**4\/24 - 161*d**3\/6 - 152*d**2. Let y(w) be the first derivative of n(w). Determine y(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a + 907339 = 117*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/25)\/(3\/15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1581 = -29*s + 3*s - 67*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 46*h**3 - h**2 + 3*h + 1. Let b be z(2). Suppose 2098 = -369*j + b*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162232*q**4 - 158700*q?\nAnswer: -1946784*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**2 - 6*z - 3. Let y be v(6). Let b be (y\/(-9))\/((-12)\/54). Solve -5*t + 2 = -b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(19) - (sqrt(19) - sqrt(114)\/sqrt(6))) + sqrt(19) + sqrt(19) + -2 + sqrt(171) + sqrt(19) - -5*-6*sqrt(114)\/(sqrt(6)*1 + sqrt(6)))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 3*f = 42. Let p = -10 - f. What is the greatest common factor of 32 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -93*r**2 + 7*r - 1. Let x(k) be the first derivative of 31*k**3\/3 - k**2 + 3649. Calculate 2*i(f) + 7*x(f).\nAnswer: 31*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130972263 + 9*s**2 + 261944466 - 130972203.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 11 = 3*l, -10*p + 11*p - 1 = 0. Let u(x) = -10*x**3 - 3*x**2 + 5*x - 3. Let q(y) = -11*y**3 - 4*y**2 + 6*y - 4. Give l*u(r) + 3*q(r).\nAnswer: 7*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3 - 3369792*m**2 = 0.\nAnswer: 0, 1684896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1024 divide 242413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(12\/7))**(-1\/49) assuming h is positive.\nAnswer: h**(-12\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -64, -65, -66, -67?\n\"Answer: -k - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/36 and 131\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3150.443 and 0.4?\nAnswer: 1260.1772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1309\/1280 + 7\/256. Let g(t) be the second derivative of -6*t - y*t**5 + 18*t**2 + 22*t**3 + 5\/4*t**4 + 0. Factor g(z).\nAnswer: -3*(z - 3)*(z + 2)*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1261024, 1261074, 1261158, 1261276, 1261428, 1261614, 1261834?\n\"Answer: 17*d**2 - d + 1261008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10174921*d**3 - 48258*d + 101 wrt d.\nAnswer: 61049526*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/47469 and -53\/31646.\nAnswer: 94938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 25992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -389*w**3 - 4*w**2 - 2*w + 2. Let c(r) = -390*r**3 - 6*r**2 - 3*r + 3. Give 2*c(g) - 3*f(g).\nAnswer: 387*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 75.2772, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 1, t: 1}. What is prob of sequence nut?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4064, 2, -3, 11.\nAnswer: -3, 0, 2, 3, 11, 4064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -86. What is the second biggest value in x, -1\/3, 1\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 10*r**2 + 7*r - 38. Calculate f(10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-17)\/t)*t\/t**(-12)*t assuming t is positive.\nAnswer: t**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.07, -474, -4, 5, -6\/71?\nAnswer: -6\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(8\/169) + (-1)\/(-4). Let u be (-660)\/(-77)*r\/(-4). Calculate the greatest common divisor of u and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/4 and -119\/1175500.\nAnswer: 1175500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bug when three letters picked without replacement from ubbgzhbzuz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-1)\/(-20)*-2.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 9:15 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 11. Let v be s(7). Sort v, 1, 3.\nAnswer: 1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 4*j**3 + 4*j**3 - 2*j**3 - j + j + (-5*j + j + 2*j)*(-10*j**2 + 6*j**2 - 12*j**2).\nAnswer: 29*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(9) - (sqrt(900) + -2*sqrt(900) + sqrt(900))))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/3 + 5*s**2 + 11. Let z be m(10). Suppose z = -0*t + t - 2. Put -5, t, 0 in decreasing order.\nAnswer: t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*h**2 - 3)*(0*h**2 - 2*h**2 + 0*h**2)*(-34 + 47*h + 34).\nAnswer: -282*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 492 - 10968.\nAnswer: -10476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11675?\nAnswer: 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -18 + 12\/18*9. Is j equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**7\/42 - y**6\/20 + 11*y**5\/300 + y**4\/10 - 2*y**3\/15 - 6*y**2. Suppose w(g) = 0. What is g?\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 496636809*b*o + 1088975946*b with respect to o.\nAnswer: 496636809*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i. Let j(f) = 108*f**2. Calculate j(m(u)).\nAnswer: 2700*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*q - 17 = 0, 0 = -2*k + q + 7. Let j(s) = 2*s - 3. Let r be j(k). Calculate the common denominator of 67\/9 and -3 + ((-804)\/16)\/r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*m + 4711 - 371, k + 3268 = 3*m. What is the highest common factor of m and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479862 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-6 - (-8 + -2))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16 + -8)\/(-6))\/82\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 276835 - 177028 = -8321. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*a + 68*a = -230*a. Solve a = t + 3 + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 12:51 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -187 + 221. Let q = d + -33.7. What is the biggest value in -0.3, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.2. Let p = -2.2 - v. Is p equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - (5 - -3 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*p + 60 = 0, -4*x + x + p - 56 = 0. List the prime factors of 256 + x\/12*2.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39010.\nAnswer: 2, 5, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -64443*v + 7. Let k(r) = -773315*r + 85. Let q(z) = 4*k(z) - 50*n(z). Let y be q(9). Round y to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -550911 divided by -9?\nAnswer: 183637\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -512 - -23?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139023537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 3:03 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11163, -15719, -20275?\nAnswer: -24831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 + 11*u + 0*u - 5 + 5*u - 26. Let k(l) = -3*l**2 + 11*l - 21. Let a(x) = -7*k(x) + 5*o(x). Let b be a(-6). Solve 3*h = -b - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/(-6))\/(1\/3). Let s(d) = 2*d + 4. Let a(p) = -3 - 11*p - 12*p + 21*p. Let i(w) = b*s(w) + 5*a(w). What is the first derivative of i(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = -3*a, 2*a = 2*f + 2*f + 26. Let s be 28\/12 + f\/(-6). Suppose s*u - 5*j = 73, 4*u - 4*j - 111 = -11. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.26267097 rounded to five dps?\nAnswer: 0.26267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, 1 m, and 1 w when four letters picked without replacement from {v: 1, d: 1, w: 1, t: 1, x: 3, m: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 13*o + 20. Determine w(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41458 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 17227.358.\nAnswer: 689094.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from {p: 1, u: 2, r: 1, y: 1, w: 2, k: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(60) + sqrt(60)*1*6)\/(2*sqrt(12)*-1).\nAnswer: -7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 6\/11, 235, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 18*j - 13*j. Let f be -14*(-6)\/4*12\/j. What is the smallest value in 1, -1\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 10*b - 7. Let r be j(9). Let c be (-1)\/(2*(-1)\/r). Which is smaller: -2\/11 or c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -407656*f**4 + 937342*f**2 wrt f.\nAnswer: -9783744*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*q**2 + 97*q**2 - 576*q**2.\nAnswer: -670*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 t when three letters picked without replacement from yygltyytl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20167, 20165, 20163, 20161?\n\"Answer: -2*u + 20169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13878 and 7189318.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*n**2*s + 220*g*n**2 - 11*g*s + 7*n**2*s**2 wrt s.\nAnswer: g*n**2 - 11*g + 14*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 8 = -2*l, 0 = -6*l + 3*l - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 53, 115, 203?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -141027\/10 - -14115. Let w = -3123\/2 + 1525. Calculate the common denominator of w and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 13) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*q**3 + 157 - 3*q**2 - 156 - 4*q + 4*q.\nAnswer: -25*q**3 - 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -262 (c) 0.3 (d) 1\/64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + (-20)\/8. Let a = h - -13. Calculate the remainder when 28 is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0183 * -0.1.\nAnswer: -0.00183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1686\/(-5))\/6 - 12\/15. Let o = u + 61. Suppose -o*p + 13 - 9 = 0. Let a(v) = 5*v + 1. Calculate a(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkflllm. What is prob of picking 2 l and 1 n?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -6*n**2 + 16*n**2 - 3 + 26*n - 25*n + 63. What is x(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12555.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122.5 + -122. Let t = -24 - 18. Let r be (-1)\/(-2)*24\/t. Which is the smallest value? (a) 1 (b) s (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -28.7, -2\/221 in decreasing order.\nAnswer: -2\/221, -1\/2, -28.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**2 + 3*d - 15. Let z(p) = 6*p + 12. Let n(r) = r + 1. Let l(y) = -4*n(y) - z(y). What is -11*j(c) - 2*l(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 86\/(-43) + (-21)\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001121291 to 6 decimal places.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*s - 3*s + 25, 0 = 3*q + 5*s - 19. Suppose 2*o + 14 = q*r, -12 = -3*r + 5*o - 2*o. What is the remainder when 11 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -277, -401, -525?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27)\/288*-8 + (5 - 247131\/(-12)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3427813 - 2401513. Suppose 1368400 = 4*l + f, 3*l - 2*f = 3*f + m. Round l to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.63 or -56?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(4*b - b + 2*b)*(2 - 5 + 10)*(-1 + 2 + 3)*(-6*b + 3*b**3 + 6*b).\nAnswer: -420*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 102*o + 52*o + 2191 + 70*o - 2191. Let r(b) = 11*b**2. Give k(r(f)).\nAnswer: 2464*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*(-36)\/36\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3290\/14805*10*(-9)\/(-12).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1117*b - 3. Let g(s) = -1115*s - 4. What is 5*g(o) - 6*w(o)?\nAnswer: 1127*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 - 70*d - 295. What is h(-30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5227, 10464, 15689, 20896, 26079, 31232?\nAnswer: 36349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*-12*(-18)\/(-576).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2917, 11629, 26141, 46447, 72541, 104417?\nAnswer: 142069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1368 and 1368?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*o - 5*o + 10*o)*(2 - 2 - o - 2*o + 5*o - 2*o + (-1 + o + 1)*(-6 + 3 + 1) + 2*o - 3*o - o + o + 4*o + 4*o)*(-17*o**3 - 25*o**3 - 16*o**3).\nAnswer: -1450*o**5 + 870*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -933374 or -933084?\nAnswer: -933084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, -2, 4, -4, 2 in increasing order.\nAnswer: -78, -4, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.312354 centuries to years.\nAnswer: 231.2354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -2421, -8166, -19351, -37788, -65289, -103666, -154731?\nAnswer: -220296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/4*(66\/9)\/2)\/1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 10*s + 2. Let j be w(10). Suppose 0*x = -f - j*x + 5, 3*f + 2*x = 7. What is the nearest to 0 in 2\/5, -5, f?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.06 + -0.06. Let s = 40410 - 40406. What is the second biggest value in -5\/3, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 32*f**2 - 78*f - 108 = 0.\nAnswer: -18, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1702*o + 31. Let q(m) = m - 5. What is a(i) + 6*q(i)?\nAnswer: -1696*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1344197 is divided by 192020.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/(z**0*z))\/(z**5*z**5))**(38\/3) assuming z is positive.\nAnswer: z**(-532\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -48, -0.3, 88?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 2429*h - 1837*h = 925*h - 347127 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 - 8 = 0, 18 = 5*k + i. Solve -5*t = 2*j - 15 + 4, t = k*j - 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8300000 = -6*y. What is y rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 121*p**5\/9 - 55*p**4\/3 - 436*p**3\/9 + 656*p**2\/9 - 64*p\/3 + 16\/9 = 0.\nAnswer: -2, 2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*(-24)\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (160\/75)\/8*-10*3 - -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*l**3\/7 + 374*l**2\/7 - 150*l\/7 + 18\/7.\nAnswer: -2*(l - 1)*(11*l - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -142432622 and -1195272?\nAnswer: 141237350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.774*-1372.\nAnswer: -28501.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070830706?\nAnswer: 2, 11, 31, 431, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1028 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6*b + 5*b**2 - 3*b - 3*b**2)*((2*b - 3*b - 2*b)*(4*b - 2*b + 0*b) + 0*b + 0*b - b**2) as l*b**3 + s*b + r + f*b**2 + y*b**4 and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 10:44 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23108.\nAnswer: 2, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -818*d + 520*d - 1628*d - 7704 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*c + 4 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65, -57, -51, -47?\n\"Answer: -y**2 + 11*y - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*k + 1815, -3*l - 715 = -5*l + k. Let v(m) = -46*m + 54. Let h be v(1). Suppose -u = h*u - l. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24402\/2988 - 60\/(-45)\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3449 - -3452. Solve -2 = z*p - 4*p - 3*g, -2*p - g + 4 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 3*n. Let x be d(-2). Factor -5 - 32*q + 3*q**x - 17*q**2 - 3.\nAnswer: -2*(q + 2)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 2*x - 1. Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 5, 35, 93, 185, 317, 495?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**2\/11 - 41350*t\/11 - 20092500\/11 = 0. What is t?\nAnswer: -475, 21150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*q**2 + 27*q**2 - 29*q**2 to t*q + j*q**2 + z and give j.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9*s - 5. Suppose -4*l = -f - 2*f + 575, 5*f - 3*l - 962 = 0. What is the remainder when f is divided by i(6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -21, -63, -141, -267?\nAnswer: -453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5910571 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 39*b + 9*b + 32*b + 18*b. Let y(g) = 2*g**2. What is c(y(s))?\nAnswer: 196*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2573 + -0.128. Let v = 0.092 - n. What is v rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12)\/(-6*18\/162)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000737 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 183 = 4*b, 29 = 2*b + l + 128. Let g = 31 + b. Let w be (-7)\/((-28)\/g) + 6. Solve -2*d - 6 + w = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 866.3214 years to millennia.\nAnswer: 0.8663214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 2*z + 783. Let m be n(0). Suppose m = 5*q + 3*g, -861 + 84 = -5*q + 3*g. Is q a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + (1*sqrt(171) - sqrt(171)) + sqrt(171))*-4)\/((sqrt(324) - (sqrt(324) - sqrt(324)*1)) + sqrt(9) + sqrt(9)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-112)\/(-40))\/((-4)\/(-10)). Let s(d) = 0 - d - a*d + d**2 + 5*d - 5. Give s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.598 rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/5)\/a**(-3))\/((a**2*a)\/(a*a*a\/(a*a**(4\/9)))))\/(((a\/(a\/(a\/((a\/(a*a**(1\/4)))\/a*a)*a)))\/a*a)**(-23))**(-2\/23) assuming a is positive.\nAnswer: a**(-247\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1318 + 2584. List the prime factors of a.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980, 4147, 9450, 16907, 26536, 38355, 52382, 68635?\nAnswer: 87132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 23 = 7. Find the first derivative of p - 33*o - 10*o**4 + 33*o wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, p: 4, o: 1, c: 1, z: 7, u: 2}. Give prob of picking 1 u and 1 p.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Suppose -2*l + 4 + t = 0. Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0694 or -4.7?\nAnswer: -0.0694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1554*y**2 - 985?\nAnswer: -3108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60244511?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.25 or 32.036?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30734837179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - -108. Let m = y - 95. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 391516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-111 + 32 + -11 + -13)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1684 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00128128963 rounded to 7 dps?\nAnswer: 0.0012813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3049?\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14437 + -5?\nAnswer: 14432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2781 = 8*q - 2821 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-5)*((-825)\/90)\/(-11)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*r = -29, -3*q + 1 = -0*q - 2*r. What are the prime factors of (-83)\/(-3) + 1\/q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 3*s**4\/4 + 11*s + 14. What is the first derivative of a(w) wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 0 + 10 = -2*g, 5*g = -4*i - 7 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 5. Suppose l - 5 = -3*i - 20, -4*l + 15 = -3*i. Let v be g(i). Let a = v - 12. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 9 = 4*x, 2*m + 4*x + 10 = -0*m. Let p = -1 - m. Suppose p*u = -4*u. Is u < 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + -6*(-1*sqrt(171) + sqrt(171)) - sqrt(171) - sqrt(171)) + 3*-2*sqrt(171))\/((sqrt(108)*-3*3)\/sqrt(12)))**2.\nAnswer: 931\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 + 3 - 1)) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/22 in -3, 7, 202?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -420 - -960. Is 60 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -286\/109243?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 240*s**2 + 40*s**5 - 3*s**5 - 100*s**5 + 400*s + 100*s**4 - 480*s**3 + 40*s**5 + 38*s**5 = 0. What is s?\nAnswer: -10, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -6\/36629 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2485 and 341865?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyx when three letters picked without replacement from {x: 4, a: 2, y: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r - 19. Let s = 4 - -10. Let z(p) = -13 + s*p - 9*p - 8*p. What is -5*x(u) + 7*z(u)?\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of 16*f**3\/3 + 12*f + 24. Differentiate u(r) with respect to r.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 1. Let q = 601 - 605. Let h(n) = 2*n**2 + 5. Determine q*j(d) + h(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 14) to base 15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 124*m**2 + 5*m - 14. What is the tens digit of y(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20474411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**5\/5 - 10*l**4 + 328*l**3\/5 - 88*l**2\/5 - 1344*l\/5 + 1152\/5 = 0.\nAnswer: -2, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*9\/(-12)*2. Which is the smallest value? (a) -0.2 (b) y (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (1\/(-2))\/((-26)\/(-364))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighty-seven fifths of a kilometer?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 14*r - 11*r + 2*r**3 to f*r**3 + x + i*r**2 + q*r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -198 + -6?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**5\/15 - f**4\/3 - 2*f**2 + 7*f. Suppose j(c) = 0. What is c?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 7*q - 2. Let t be d(-7). Let w = -27.7 - -175.7. Let y = 145 - w. Which is the closest to y? (a) 0 (b) -1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205 + 205 + 45*s.\nAnswer: 45*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 26*c**2 + 65*c + 90. What is n(23)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -33353221?\nAnswer: -33353212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(432) + (-1 + sqrt(432))*-4)*-2)**2 + ((sqrt(432)*1 + 2)**2 - 4*(sqrt(432) + 1)))*5.\nAnswer: -2160*sqrt(3) + 79965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -22*c - 109. Determine k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -68. Round m to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -399425 by 13.\nAnswer: -30725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 - 7*m**3 + 4*m**2)*(-30*m - 566 + 566).\nAnswer: 210*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 15 = u. Let j = u - 5. Which is the nearest to -0.1? (a) j (b) -3\/5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28935874 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 21*d**3 - d**2 + d + 1. Determine c(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 39, 72, 119, 186, 279, 404, 567, 774?\n\"Answer: t**3 + t**2 + 23*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26893421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0. Let t = -0.2 + p. Let x = -0.4 + -0.6. Is x < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**5 + 1416*p**4 - 14432*p**3 + 46464*p**2 - 46592*p = 0.\nAnswer: -364, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.313842?\nAnswer: 0.156921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - 123003684?\nAnswer: -123003684.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138, 148, 158, 168, 178?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -310263284*h - 4271961.\nAnswer: -310263284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 545977 is divided by 181983.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 6*i**2 + 5*i - 3. Determine n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4976.14 rounded to the nearest 100?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + y - 5. Let b(c) = -c**2 - 29*c - 8. Let z be b(-16). Let d(x) = 406 - 210 - z. Give -3*d(h) + 2*p(h).\nAnswer: -2*h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -62 - ((-34 - 25) + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24260801.\nAnswer: 491, 49411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q**3 - q + 1. Let j be i(1). Suppose 4 + 2 = 3*m. Let t be (3 + j\/m)*-10. What is the highest common factor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 32*c**3 + 24*c**2 - 288*c - 540.\nAnswer: 4*(c - 3)*(c + 3)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -33, -51, -85, -141, -225, -343?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 3a?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-327)\/327)\/((-1)\/(-19))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*n - 46*n + 33*n - 13*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -111*n + 224. List the prime factors of u(-34).\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**5 - 472*i**4 - 8344*i**3 - 50176*i**2 - 75460*i + 134456.\nAnswer: -4*(i - 1)*(i + 7)**3*(i + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 e when four letters picked without replacement from {k: 1, p: 3, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 165 = -5*z, -z - 2*o + 34 = -0*z. Let g = 36 - z. What is the nearest to -0.1 in -5, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/680900 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 0.5 (c) -3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:14 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32941557*v**3 - 33285425 wrt v.\nAnswer: 98824671*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -163*b**2 - 128*b - 29. Let k(l) = 327*l**2 + 320*l + 56. What is -5*f(v) - 2*k(v)?\nAnswer: 161*v**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/1341 and -59\/2607.\nAnswer: 1165329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111100002 (base 3) in base 7?\nAnswer: -263054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-8 + 12\/4). Sort k, 0, -3 in decreasing order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l + 11. Suppose p - 3*p - 21 = -z, -p - 18 = -2*z. Let f be a(p). Is 1\/f*3 + 90 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let p = 7 + q. What is the remainder when p is divided by -2 - (-23)\/5 - 6\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 34.91. Let q = k - 1.91. Let u(f) = -f - 3. Let s be u(-9). Which is the nearest to 0.1? (a) 2 (b) q (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2 - 13580*n + 23052050 = 0. Calculate n.\nAnswer: 3395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*r = -0*r - 32, 4*z + r - 34 = 0. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -353 by 6.\nAnswer: -353\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.6 - -0.4. Let l(i) = i**2 - 6*i + 3. Let a be l(4). Let y = -3007.8 - -3008. Sort 0.1, y, x, a in descending order.\nAnswer: x, y, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18009, -36035, -54085, -72165, -90281, -108439?\nAnswer: -126645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -97 + 2\/21*l**3 + 10\/7*l**2 - 22\/7*l. Factor p(f).\nAnswer: 2*(f - 1)*(f + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -167 or -813?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101011111101100010011 (base 2) to base 15\nAnswer: -1d6c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7947 to 2 dps.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let k(n) = -n**2 - 23*n + 171. Let h be k(6). Sort -5, h, m.\nAnswer: -5, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-14) - 30\/105 - 4244768\/(-77) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22009, 43970, 65929, 87886, 109841, 131794?\nAnswer: 153745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**3\/7 - 2*k**2\/7 = 0 for k.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2961*y + 32472. Determine q(11).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 7*n + 10. Determine g(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 11:19 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8 or 0.96?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*q = 254 + 43. Let c be (3\/2)\/(q\/(-102) - 0). Solve 0*r + 2*d - 11 = -5*r, 0 = -3*r + 4*d + c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -351400 (base 7) to base 9.\nAnswer: -105331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 36*z**2 - 39*z + 70. Let h = 38 + -1. Let o be w(h). Put 1, o, 4, -11 in ascending order.\nAnswer: -11, o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-14))\/(-51*7\/(-35)*(-15)\/6)?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -19312478.\nAnswer: -7\/19312478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1375 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 651360.105673 + -80\nAnswer: 651280.105673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1042*l**4 - 3*l**3 - 2*l**2 - 4*l - 2551. Let a(w) = 2083*w**4 - 8*w**3 - 5*w**2 - 10*w - 5102. Let z(i) = 2*a(i) - 5*b(i). Differentiate z(q) wrt q.\nAnswer: -4176*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23042a (base 14) to base 9.\nAnswer: -2215651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*y = 30. Let b(s) be the third derivative of -s**5\/40 + s**4\/8 + s**3\/3 - s**2. Let i(q) be the first derivative of b(q). Calculate i(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -1, 0.3, 1.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:23 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -4\/9 (c) 7\/4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q - 25. Let h = 11 + q. Calculate the smallest common multiple of h and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -15\/30094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(125) + -2 - sqrt(125)) + 5)*4 + 1.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37823 and 436?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**2 + d. Let f be x(1). Suppose -3 = z - 3*b, 3*z + 2*z - 2*b = -f. Sort 3, -5, z in ascending order.\nAnswer: -5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + 13*w = -72 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -18368?\nAnswer: -1836e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 1, z: 1, r: 1, p: 1, w: 2}. What is prob of sequence po?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -0.4, -2\/21, 17\/9, -8\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -11*w**2 - 5*w - 3. Let d(t) = -t**2 - t - 1. Let m(f) = 7*f - 194. Suppose s - 25 = h, -s + 0*h = -2*h - 23. Let u be m(s). Determine u*d(c) + v(c).\nAnswer: -6*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z + 10. Let i be c(-3). Which is smaller: i or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 8:09 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.2 - 2. Let r = 9 - 13. What is the closest to -1 in h, -2\/21, r?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 9:36 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 30*r - 27. Let v be t(1). Which is the closest to 2.1? (a) -0.01 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4086 divided by -2.\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.36224885 to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 265*o**3 + 21*o**4 - 3*o**4 - 12*o**5 - 117*o**3 - 132*o**3. Let s(y) = 12*y**5 - 19*y**4 - 16*y**3. Let b(v) = -3*d(v) - 2*s(v). Factor b(c).\nAnswer: 4*c**3*(c - 2)*(3*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((170\/(-25))\/(-17))\/((-1)\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(162) + 1) - (sqrt(162)*1 + -2))**2*6.\nAnswer: -216*sqrt(2) + 3894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2 + 2*v + 2. Suppose 2*h = 5*n - 376, 3*n = -5*h + 83 + 155. Suppose -14 = -10*d + n. What is the remainder when w(-5) is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -11\/4293, 0.3 in descending order.\nAnswer: 5, 4, 0.3, -11\/4293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -17374*l**3 - 2*l**2 + l - 2. Let k = 8 + -6. Let d be g(k). Round d to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19\/9 - 239\/36. Find the common denominator of f and 222\/24*(-2)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3810\/31 + -419624\/3441. Let l = 1341\/74 - b. Calculate the common denominator of -7\/4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 53801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 1\/3*u**3 + 0*u**2 - 42 + 0*u. Let q(d) = -11*d + 2. Give y(q(a)).\nAnswer: 121*a**2 - 44*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-6)*y**0)\/((y\/((y*y**(6\/5)*y)\/y))\/(y\/y**1)))\/(y**(-2)*y*y**8)**(-17) assuming y is positive.\nAnswer: y**(576\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -1. Let d(n) be the second derivative of 5*n**3\/6 + 5*n. Let s(k) = 4*k. Let f(t) = z*s(t) - 3*d(t). Let p(m) = m**2. Give p(f(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 2*v**2 + v - 3. Let q(f) = -f**3 - f**2 - 2*f + 3. Let n(p) = 3*g(p) + 4*q(p). Is n(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = -33*n + 929. Solve -29 + n = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53466 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 21*v + 23. What is y(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7140 - 7137. Solve 5*y + 19 = o*u, -80*u + 77*u + 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 8*q**2 + 8. Let u be (-6 - -8)*(-1 - -2) - -11. Suppose 508 + 64 = u*a. Let v = a + -52. Determine d(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3694\/29985 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/12 and 17\/138?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2074847343 to the power of 1\/3, to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4604, 9088, 13572, 18056?\n\"Answer: 4484*f + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 4*i - j, j - 4 + 2 = 0 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 3 + b - b - 6*b**2 + b. Let h be s(0). Solve 6 = 2*a, -7*a + h*a + 27 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1703 is divided by 86.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 7 + (23 - (-15 + 56)) + 16?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45793?\nAnswer: 11, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -215 times 74374?\nAnswer: -15990410","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -17. Let u = -1097\/589 - -17\/19. Let z = u + 153\/62. Which is the third biggest value? (a) -0.3 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o**3 - 16975*o**2 + 110730*o - 51120 = 0. Calculate o.\nAnswer: -1704, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*y + 25*y = -7*y - 314226. Does 53 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)*2*1)\/(sqrt(50)*1) - (sqrt(147) - ((sqrt(147) + (sqrt(147) + -1 + sqrt(147))**2 - sqrt(147)) + -4))*-4)*-1.\nAnswer: -702*sqrt(3)\/5 + 2340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*s - 53*s + 241*s.\nAnswer: 438*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 189 = -4*z, 13 = -5*z - o + 250. Let x be ((-1)\/(-3))\/(4\/z). Put 1, 2, x in descending order.\nAnswer: x, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4985, 19946, 44879, 79784?\nAnswer: 124661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385168 = 3*h - 4*c, 6*c = 5*h + 2*c + 641944. What is the units digit of 4\/26 - h\/338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 59. Suppose -3*x = -d - 0*x + p, -8 = -4*d - 3*x. Suppose 3*j - d*j = -174. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 141*o**2 + 29*o. Give b(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 10*s - 22. Let z be i(2). Factor -2*j - 72 - 98*j + 16*j + 120 + 36*j**2 - j**4 + 3*j**3 - z*j**4.\nAnswer: -3*(j - 2)**2*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 27*a**2 - 25*a**2 - 3*a**3 to the form c*a**3 + x*a**2 + k*a + p and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 15. Let g(k) = -4897456*k. What is c(g(s))?\nAnswer: 4897456*s + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/17, -177, -4, -10, 6\/7 in descending order.\nAnswer: 6\/7, 2\/17, -2, -4, -10, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 - -6.7. What is the third biggest value in 0.2, 3\/2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -13 + (22 - (3 - -21))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 9:40 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/864 and -145\/57024?\nAnswer: 57024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 + 446. Let d(x) = 4*x**2 + 2*x. Determine d(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2. Let x = 10 + -7. Let f(m) = -m**3 + 2*m**2 + 3*m + 2. Let r be f(x). Let c(a) = -r*a + a + 2*a. Give c(z(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 33*c**2 - 34*c - 66. Let f be v(-32). Let q(l) = 4*l**2 + 5*l + 6. Let w(d) = -3*d**2 - 4*d - 5. Calculate f*q(u) - 3*w(u).\nAnswer: u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -41583 (base 11) in base 4?\nAnswer: -32302233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045715854 to 7 decimal places.\nAnswer: -0.0004572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.2. Which is the nearest to 0? (a) 0.12 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 29*r**3 + 242*r**2 + 460*r - 2. What is v(-5)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -145912 divided by -72956?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17391*j - 13636 - 43807 = -2256*j + 3097 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 275 + 577 - 81 + 7*c**3 as g + m*c**2 + q*c + s*c**3 and give g.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -575, -576, -577, -578, -579?\n\"Answer: -h - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 420 = 3*n. Let c be n\/135 - (-4)\/(-10). Let b = -11\/4 - -13\/4. What is the smallest value in b, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 12*i - 20*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*n - 4*n, 17*n + 3*q + 10 = 18*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*u**3 + 8\/3*u**4 - 2\/3*u**5 + 0*u + 4\/3*u**2 + 0.\nAnswer: -2*u**2*(u - 2)*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -441 - -676. Calculate the lowest common multiple of w and 15.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/18 + (-112)\/63. What is the common denominator of -3\/4 and q + 3\/((-27)\/24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3942446 rounded to 3 dps?\nAnswer: -0.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20817.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777790326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1082067 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*b - 31, -17 = -4*n - 3*b + 36. Let x = 4 + 10. Suppose -5*v + n = -x. Solve 10 = -4*c - 2*z, 0 = -0*c - c + v*z - 19 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*p = -14, 2*n + 6*p - p + 7 = 0. Suppose -n*w = w. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 + 3*a**4 - a**4 + 0*a**4 + 0*a**4 + a**4 + (-a**2 - 4*a**2 + 3*a**2)*(8*a**2 + 0 + 0).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8)*(-3)\/(21\/28).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*p - 6*p. What is the least common multiple of p and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 7.4. Let v = 8 - y. What is the smallest value in 0.5, -2\/11, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsoomowwwoomwwhwhw. Give prob of sequence ohwm.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12855 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 + -68 - (-4 + 10 - 16).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2453 + 2452.9. Let m = -0.06 - -4.06. Which is the third biggest value? (a) -10 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**4 + 512*i**3 - 87271*i**2 + 5030928*i - 14321088 = 0?\nAnswer: 3, 141, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 269641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 77 (b) 0.1 (c) -3\/4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72) + sqrt(54)\/(sqrt(12)\/sqrt(4)))\/((-2*sqrt(1089) + sqrt(9))*3)*-6.\nAnswer: 2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g**3 + 11*g**2 + g - 3.\nAnswer: (g + 1)**2*(7*g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40917889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*d + 76*d + 27 = r, 31*d + 38 = 2*r + 35*d for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 + -9)\/(2\/10*1). Sort y, 13, 2, 1.\nAnswer: y, 1, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 11. Let g(r) be the third derivative of -2*r**2 - 1\/30*r**5 + 0*r - 1\/6*r**3 - 1\/12*r**4 + 0. Give g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.085+611\nAnswer: 610.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1718, -1832, -1982, -2186, -2462, -2828, -3302, -3902?\n\"Answer: -3*f**3 - 93*f - 1622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 10*p**2 - 13*p - 9. Suppose -22*f + 19*f = 255. Let k = 76 + f. What is the units digit of d(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3372 = -433*x - 92*x - 607 + 9310 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.30234 + 0.30234. Put u, 5, 2\/3, -4 in descending order.\nAnswer: 5, 2\/3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-18)\/(-4))\/((12\/(-24))\/(-1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-84)\/(-10))\/(-7))\/(8\/(-10))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 389519.8 weeks in nanoseconds?\nAnswer: 235581575040000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(390\/12))\/(344\/(-21500))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13052636.\nAnswer: 2, 223, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a millisecond in microseconds?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(26460\/(-30))*-7*(-2)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8560 * 5746.\nAnswer: 49185760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0 (b) -1\/4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 283.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 68 = -j + 3*j, -4*j + 16 = 0. Let t = b + 19. Suppose 3*u + 5 + t = 0. What is the nearest to -0.1 in u, 2, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvdgmgmwghvwgd. What is prob of picking 1 w and 1 d?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720) - 4*sqrt(720)*-2))**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -7*h - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-30) + (-104)\/6. Let f = d - -32. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2 - 7*l + 11. Calculate w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {l: 1, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1391)\/(-78) + (-1)\/(-6). Suppose 2*l = 5*l + v. Let c(i) = -6*i**2 - 2 - i**3 + 0*i**3 + 7. Calculate c(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 181245 and 2157?\nAnswer: 130315155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*q - 4*q = -18, -t = 3*q - 17. Suppose -3*r - t*y = -5*r + 54, -3*y - 49 = -2*r. Calculate the least common multiple of 20 and r.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -191 - -314. Let z = 106 - 76. Let d = 61 - z. What is the remainder when o is divided by d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*c - 1 = 0, 3*q = 5*c - 2*c + 18. Suppose -q*n = 3167 + 578. Does 24 divide n\/(-9) - 12\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*s**2 + 92*s**2 - 11*s**3 - 318*s**2 + 2*s + 109*s**2 - s.\nAnswer: -11*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40283*a**3 + 32*a**2 + 4413331 wrt a?\nAnswer: -120849*a**2 + 64*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -82 - 93. Calculate the highest common factor of w and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, i: 1, s: 5, t: 7, o: 2, g: 3}. Give prob of picking 1 o and 1 t.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - ((3 - 12) + -4 + (12 - 10) + 7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**4\/12 - 815*n**2 - 2*n. Let b(r) = -59*r**2 - 3*r - 2. Determine b(j(m)).\nAnswer: -236*m**2 - 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24751.\nAnswer: 53, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*p = 0, 4*p - 25 = 8*h - 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -d**5\/110 - 2*d**4\/33 - d**3\/11 - 124*d. Factor m(b).\nAnswer: -2*b*(b + 1)*(b + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792057 is divided by 1864?\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -2\/3 (c) -0.16 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.06 (c) 1.56 (d) 0.14 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -50, -13?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r - 23*r = 3*d - 19, -r - 8 = -d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(4\/7))*c\/(c*c**(-1\/2)\/c*c)*((c\/(c*c**(-1\/2)))\/c)\/c**9)**(-1\/24) assuming c is positive.\nAnswer: c**(59\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(112) + -3 + 5 + sqrt(7)*2 + 1)**2.\nAnswer: 72*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19917.9 + 19787.663. Let m = 194 - 324. Let t = m - q. What is t rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 367*z + 5. Let b(n) = 6*n + 1. Give 3*b(o) - k(o).\nAnswer: -349*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*c + 2*h + 2, 1166*c = 580*c + 581*c - 2*h + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 3 = 11*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f - 7. Let s(j) = -2*j + 5. Let u(c) = -5*n(c) - 7*s(c). Let i(l) = -5*l**2 - 6. Let o(h) = 3 + 0 - 4. Let a(x) = -i(x) + 6*o(x). Give a(u(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 + -201567?\nAnswer: -201461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33622 + 33587. Which is the nearest to 1? (a) -2\/27 (b) p (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 7:49 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.2 - -7. Let o be (-4 - 1)\/55*(-2)\/(-2). Is o equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 40. Let u = f + -19. Let w = u + -17.9961. What is w rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-74 + -1)*(-808)\/303. Suppose -9*t = -25 - l. Let v(k) = k**2 - k + 6. Let m be v(5). Are m and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + 10 + -4 + -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 36032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.213965 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80859994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10927\/245)\/(1\/5). Solve 0 = 51*o + 83 + q for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6246?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4648.24 + 46.74556.\nAnswer: 4694.98556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037156807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (-5 + (0 - -5)). Suppose -2*l - 52 = -3*n, -61 = -2*n - x*l - 5. Solve -n = 4*s - v, 5*s + 2*v + 11 + 14 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*n**2 + 34*n**2 - 20*n - 74*n**2)*(-3 + 2 + 5).\nAnswer: -28*n**2 - 80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.41 - -10. Let u = x + 0.40917. Round u to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103686318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127847.\nAnswer: 3, 7, 43, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -954.\nAnswer: -35\/954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/10)*p\/p**(-2\/11))\/(p**3)**48 assuming p is positive.\nAnswer: p**(-15677\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 15.938.\nAnswer: 15.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1450840233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from ieiiiiiiiiiii?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 47*h**2 - 241*h + 44. Give f(-41).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (532\/(-5))\/(6*(-7)\/105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + 1.6. Let d = -0.6 - -0.3. Sort -0.1, d, 0, x.\nAnswer: d, -0.1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30044310 + -130?\nAnswer: 30044130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 2, c: 5, p: 1}. Give prob of sequence ccss.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 20*w - 3. Let o be p(14). Let r = o + -53. Suppose r*s - 708 = 24*s. What are the prime factors of s?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 671349?\nAnswer: -1\/223783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m = 8*m + 2*m + 435226. What are the prime factors of m?\nAnswer: 73, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0317868 rounded to four dps?\nAnswer: 0.0318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.85 + 0.75. Let z = a + -0.9. Put -5, 1\/10, z in increasing order.\nAnswer: -5, z, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22432437 (base 8) in base 11?\nAnswer: -2821929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 130.10232 + 0.1\nAnswer: 130.20232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-69))\/(52\/78).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q**(-2\/19)\/q)*q)*q**(-22\/5) assuming q is positive.\nAnswer: q**(-618\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -29*h + 1. Let l(f) = -14*f + 1. Let u(p) = -3*b(p) + 7*l(p). What is the derivative of u(a) wrt a?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17418 - -12101?\nAnswer: 29519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b7a2 (base 14) in base 5?\nAnswer: -34104420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u = 90*l - 89*l + 58, -4*u = -5*l - 32 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2259?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 381, 392, 419, 468, 545, 656, 807, 1004?\n\"Answer: m**3 + 2*m**2 - 2*m + 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (52 + -19 + 1) - 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uyyyyyuryyuyyuru. Give prob of sequence yr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8651 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0 (c) 0.57 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 26. Suppose -3*v + g + 2 = -2*v, g = -v + 2. Put a, 4, v in increasing order.\nAnswer: v, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t**3 - 265*t**3 - 167*t**3.\nAnswer: -397*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 4. Which is the third smallest value? (a) -0.2 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -37\/2744 (b) -8 (c) -0.2 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by ((-170)\/17)\/((-2)\/32)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12162 and -12161 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 18. Let f be p(-6). Let w(c) = -c**2 + 6*c + 18. Let r be w(8). Suppose -2*v - 5*m + 20 = 0, v + 1 = r*m + 2. Solve -5*b + v = -f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 45*h**2 + 70*h - 5. Let f(l) = 9*l**2 + 14*l - 1. Let i(u) = -4*c(u) + 22*f(u). Find the second derivative of i(p) wrt p.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-90 - 430 + 1566 + (-3 - 1 + 2)*(1 - 1 + 2)*(1 - 5 + 3)*(3 + 1 - 2))*(-3*z + 2*z + 4*z)*(5 - 2 + 0) as b*z + l and give b.\nAnswer: 9486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(-5 + sqrt(1100)*-1 + 0)**2*6.\nAnswer: 5400*sqrt(11) + 60750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 40, 44 = -3*g - 17*s + 21*s. Sort -2, -75, g, 0 in descending order.\nAnswer: 0, -2, g, -75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2283*w + 0 - 2280*w + 0.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1, -0.09, 0, -22 in ascending order.\nAnswer: -22, -0.09, 0, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -300, -306, -314, -324, -336, -350?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + sqrt(77)*1) - 5*(sqrt(77) + sqrt(77)*1))\/(sqrt(132)\/(sqrt(108) + 2*sqrt(108))).\nAnswer: -144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qoqojrtoqqqy. Give prob of sequence yq.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, 125, 474, 1139, 2228, 3849, 6110, 9119?\n\"Answer: 18*p**3 - 4*p**2 + 27*p - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00405439 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, -8, 2, -15 in descending order.\nAnswer: 242, 2, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.186 + 0.546. Let j = u - 0.15. Let s be 4\/22 + 28\/88. Which is greater: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1621557 and 1470.\nAnswer: 16215570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 12*p**5\/5 - 13*p**3\/3 - 10. Find the third derivative of b(n) wrt n.\nAnswer: 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 + -1075?\nAnswer: -1073.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 32*j**2 + 53*j - 53. Let w be q(1). What is the highest common factor of 3104 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/9)\/t*(t\/(((t\/(t*t**5*t)*t)\/t*t)\/t)*t)\/t*t*t**(-3\/4)*t**0 assuming t is positive.\nAnswer: t**(217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7906 divided by -1710?\nAnswer: -3953\/855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.047 + -0.547. Let z = -0.1 + 3.1. What is the nearest to 1 in z, j, -4\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -47*t**5\/10 - t**3\/6 + 27*t**2\/2 + 88*t + 1. What is the second derivative of j(u) wrt u?\nAnswer: -564*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*k = 110*k + 66 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(99) + -2 - 6*(sqrt(99) + -1) - ((sqrt(88) + sqrt(88)*2)*-2)\/(sqrt(56)\/(sqrt(175) - sqrt(7))).\nAnswer: 3 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*g + 10, -20 = -0*z - 2*z + 3*g. Let l = z + -8. Factor -2\/7 - 4\/7*t + 6\/7*t**l.\nAnswer: 2*(t - 1)*(3*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/5)\/(6\/20). Suppose 0 = -a*h + 218 + 38. Let p(x) = -18*x - 5. What is the remainder when h is divided by p(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/3337 or 0?\nAnswer: -9\/3337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21968 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107 + -582.\nAnswer: -689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23.224959s?\nAnswer: 0.0064513775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4059124*s**3 + 3865061*s**2 wrt s?\nAnswer: 24354744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-146692)\/(-120435) - (20\/7 - 2)\/(10\/14)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1480\/(-1036)*(-7)\/(-12)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5\/4 + 53*m**4\/4 - 631*m**3\/2 + 577*m**2\/2 + 1261*m\/4 - 1207\/4 = 0.\nAnswer: -71, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 197 and 522838?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 62 + -3 - (1 - -13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 201, 310, 407, 486?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -17*b - 4. Suppose 0*n = -5*n - 20. Let q be p(n). Is 18 a factor of (-1 - -6)*q\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((680\/750)\/34*3)\/(1\/((-3)\/6))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246251, 495682, 745115, 994550?\nAnswer: 1243987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((((-2*sqrt(152) + sqrt(152))*6)\/(-3*sqrt(32) - sqrt(8)))**2 - (-1*-2*sqrt(76))\/(sqrt(324)*-1 - sqrt(4))).\nAnswer: sqrt(19)\/5 + 782\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198098640.\nAnswer: 2, 5, 421, 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -2 - -3) + 12 - (-9 - -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -175159+-6\nAnswer: -175165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/53 in 11\/7, 4\/13, -0.126?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45085926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 56. Calculate z(0).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = 64*d - 51*d + 74*d. Sort 4, -1, 504, d in decreasing order.\nAnswer: 504, d, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500)*2)\/(sqrt(275)*2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 0, -4*y + d = -6*y + 9. Solve y*h = 20 - 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125)*2 - sqrt(125)) + sqrt(125) + 4*sqrt(20) - (sqrt(30) + -2*sqrt(30)*5)\/sqrt(6) - (1 + sqrt(245)*-1*6 + (-1 + sqrt(245) + 0 - sqrt(245))))**2.\nAnswer: 23805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 3*j**3 - 2*j**3 - 24 + 42 to the form b + x*j**2 + w*j + k*j**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 170675*c - 341330.\nAnswer: -5*(c + 2)*(c + 34133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + o)*(4 + o**2 - 4 + (-4 - o + 4)*(o + 2*o + 3*o)) - 10*o**3 - 11*o**2 + 11*o**2.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101100111111010 (base 2) to base 10.\nAnswer: -154106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -585 + 1306 - 98*w - w**2 + 198 + 1701 wrt w?\nAnswer: -2*w - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/2212533 and -53\/16225242.\nAnswer: 48675726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - 221130130311?\nAnswer: -221130131102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:12 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/7 - 72864688*z\/7 - 331828922333584\/7.\nAnswer: -4*(z + 9108086)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1852 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: Rearrange (-2 + 0 + 1)*(-2*t + 5*t - 9*t**2 + 1711 - 1712) to u + d*t + y*t**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 215266, 430531, 645816, 861133, 1076494, 1291911?\n\"Answer: 2*r**3 - 2*r**2 + 215257*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*-1 - 465\/(-105). Sort -1\/4, i, 0.4 in increasing order.\nAnswer: -1\/4, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 9*u**2 + 9*u - 6. Let d be r(5). Suppose -d = -2*v + 640. List the prime factors of v.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/14 and -31\/25270.\nAnswer: 25270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u + 2. Let v(z) be the first derivative of -z**2\/2 + 2*z + 8. Determine 3*m(j) - 4*v(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + p**2 + p + 3*p + 0)*(130*p**3 + 142*p**3 - 303*p**3).\nAnswer: -31*p**5 - 124*p**4 + 62*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + (-34 - -4 - -5).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-81)\/738) - 2\/(-3). Let x = f + -17. What is the remainder when 136 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06066 to three dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 2*s + 6 - 22 - 5*s + 23.\nAnswer: -3*s + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -57.0134\nAnswer: 5.70134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -10*y + 4*y. Let s(m) = 2*m - 3. Let r(u) = -u + 2. Let i(t) = y*s(t) - 3*r(t). Let f(l) = -41*l**2. Determine i(f(p)).\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (40 + -1)*(-10)\/(-15). Solve 5*l + f = -4*q, -3*l + 11 = -5*q - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1184646613?\nAnswer: 1184646613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtcchv. Give prob of sequence hv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 30120?\nAnswer: 30120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 4*b**2 + 24*b - 24. Let t be h(7). Let x = 23 - 22. What is the closest to 4 in 1\/2, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337 - 256. Calculate the remainder when r is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1112333 - -12?\nAnswer: 1113011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -1.18\nAnswer: 9.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 7) in base 12?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - f + 50.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + -1. Let a = -38\/63 - -5\/7. What is the nearest to 1 in m, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/(-312))\/(16\/(-18))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -735093200 to the nearest one hundred thousand.\nAnswer: -735100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 39212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57776348 and 2303.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 1. Let r be (6 - z)\/(1\/(-1)). Solve r - 1 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 3*z - 2*n, -121 = -5*z - 4*n + 184. Suppose -27 = -3*m + 60. Suppose -m - z = -3*t. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48460159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 5*m - 40 = 0. Suppose -i = 5*p - 50, 0 = -3*p + i - 3 + 41. Suppose c = p - 5. Solve -2*z = -0*z + 3*n - c, -3*z - 4*n = -m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368893?\nAnswer: 7, 151, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mwmnmmwmn.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 2*j + 1. Let r be y(0). Which is greater: 1\/12 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 16*y**2 + 15*y + 172. Is f(-16) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:31 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 797 = 2*i, 2*i - 4*f - 453 - 353 = 0. Suppose 2*u - i = 85. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182 - -45. Let p = -5 + 162. Let d = h - p. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/719 (c) -4 (d) -2\/11 (e) 0.3 (f) -261 (g) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7305 and 15?\nAnswer: 7305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f - 184. Suppose 2*p = 1560 - 1548. Let h be b(p). Solve -d - h = u + d, u = -4*d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11942350 and 3045?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -87680 + -5.8\nAnswer: -87685.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let m(h) = -14*h. Let j(i) = 49*c(i) - 3*m(i). Let g(b) = -2*b + 4. Let w be g(-4). Let o(z) = -2 - 9*z + w*z + 2. Give -4*j(x) - 10*o(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.00366 and 1051670.\nAnswer: 1051669.99634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/3 and 9390324 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-20))\/((-156)\/624)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 - 136 = d + 3*l, -2*l + 37 = -5*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -23*b**2 + 439*b - 14. Calculate l(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83034.77 years to millennia.\nAnswer: 83.03477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 4*n - 14, 4*n = -2*v + n - 5. Suppose -10*u - 2*u**v + 0 + 0 + 14*u = 0. Calculate u.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**4\/24 - 2*y**2. Let q be h(5). What is the second smallest value in -2, 2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, x: 3}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtt when three letters picked without replacement from {z: 6, t: 3, c: 1, g: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-241 + 262 - (-2 - -8)) + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 2823, 9659, 22989, 44973, 77771, 123543, 184449?\nAnswer: 262649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1365 and 37843?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 - 2592*w**3 - 182272*w**2.\nAnswer: 4*w**2*(w - 712)*(w + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgffbbggg. What is prob of picking 2 b and 1 g?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0417? (a) 2\/11 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7543146 and 35334?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 377747.5 litres?\nAnswer: 377747500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 389376\nAnswer: 1946880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*l - 1 + 0)*(2857*l - 844*l - 446*l).\nAnswer: 3134*l**2 + 3134*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 13. Let o be z(10). Let n = o - -10. Let r(i) = -i**2 + 10*i. Is r(n) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, 6, -41, 37, -2 in decreasing order.\nAnswer: 37, 31, 6, 3, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = 3*z - 1, 3*b + 13 = -z. Let n be ((-12)\/12)\/(z\/(-28)). Suppose 8*a = n + 122. Calculate the lowest common multiple of a and 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1340)\/(-10) + (6\/(-2))\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 3*c**5\/5 + 673*c**4\/24 - 819*c**2. Find the second derivative of h(y) wrt y.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1076 = 4*o + 4*v, 2*v = -3*o + 61 + 749. Suppose 0 = 44*t - 40*t - o. What is the remainder when t is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*n, 4*a - 106 + 26 = -4*n. Suppose 0*m - 39 = -5*l - 3*m, -3*m = l - 15. What is the greatest common factor of l and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18527\/27 + 686. Find the common denominator of (-8)\/56 + 0 + 1\/(-6) and f.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -1205.\nAnswer: 43\/1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 2 - (5 + -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:59 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20344*y + 12671*y - 23483*y.\nAnswer: -31156*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579405?\nAnswer: 3, 5, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**3 + c**2 - 2 - 4*c**2 + 3*c**2 + 4*c**2 to the form o + g*c**2 + q*c + l*c**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4070 and 2220?\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 3, -0.3, 13, -2.7, 1\/3 in ascending order.\nAnswer: -2.7, -0.3, 1\/3, 3, 13, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 78, 134, 184, 216, 218?\n\"Answer: -2*v**3 + 15*v**2 + 19*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -185? (a) 64 (b) -3 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/27 + (-1107)\/(-486).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069.976873 rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/200 - ((-372)\/(-10))\/(-3). Solve -127*o = -130*o + h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -123?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2 (c) 2\/23 (d) -28 (e) 1\/2 (f) 20\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1522437 is divided by 217489.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 2. Let w be r(-1). Let v = -206 + 205.8. What is the nearest to w in 3, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r = -34*r + 19*r + 3*b, 3*r - 82 = r - 35*b for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, -41, -134, -251, -398, -581, -806?\nAnswer: -1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 6*s**2 - 10*s - 11. List the prime factors of t(8).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/4))\/u**(-6) assuming u is positive.\nAnswer: u**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 37*o**2 - 3*o + 5. Let x(d) = d**3 + 10*d**2 + 9*d - 4. Let r be x(-9). Let u be (r - -1) + 0 + 5. What is the tens digit of l(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 5*a - 26. Let o be j(6). Let u = -30 + o. Are u and 47 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -86 - 2*x + 2*x**4 + 0*x**4 + 35 wrt x.\nAnswer: 8*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35806131*h*q - 134222*h + 4*q - 130 with respect to q.\nAnswer: 35806131*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/3)\/(4\/6). Let i = 16 - 12. Which is bigger: i or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + -182. Let h = t - -380. Let g = h - 182.00000101. What is g rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71532 - 499796\/7. Let b = -132 + l. Put 0.5, 3\/4, b in ascending order.\nAnswer: 0.5, b, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -96750967, -96750964, -96750961, -96750958, -96750955, -96750952?\n\"Answer: 3*n - 96750970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/(5\/(-370)). Let o = r + -11. Let h be 2*(-5 - (-9 - -5)) - -27. Which is greater: h or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 320564979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 497 times 669\nAnswer: 332493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2 - 4*n + 7. Let w(s) = 22*s**2 - 28*s + 40. Let y(b) = -11*b**2 + 13*b - 19. Let a(h) = -2*w(h) - 5*y(h). What is -6*a(r) + 13*c(r)?\nAnswer: -r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 879064454 to the power of 1\/2, to the nearest integer?\nAnswer: 29649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 8*v - 2602 - 4*v**2 + 2607 + 3*v**2. Let j(z) = z**2 - 8*z - 6. Calculate -7*d(h) - 6*j(h).\nAnswer: h**2 - 8*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = -19. Suppose -13729 = -3*f + 5*r, 4*r - 9 - p = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlpwlppw. What is prob of picking 2 l and 1 p?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p**2 - 1576*p - 1616. Give j(-393).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(117) - (sqrt(117) - sqrt(117)*-2)))\/sqrt(9) + 4.\nAnswer: 4 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:18 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j**2 + 36*j**2 - 18*j**2 - j + 2 + 2*j**4 to the form g*j**4 + k*j**2 + m*j**3 + i*j + x and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2904 and 52.\nAnswer: 37752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 78 = 47*p. Let g(r) = -3*r**3 + r**2 + 5*r - 2. What is g(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 62 (b) 1\/7 (c) 0.2 (d) 0.1 (e) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 2 - 1) + -3 + -23. Let k = -30.3 - -30. What is the biggest value in u, 1\/4, k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 5. Let l be f(-6). Let r be (0\/(-1) - 390)\/l. What is r rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:07 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 3. Let x be r(-6). Suppose x*b = 7 + 20. Solve y = b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 9*o**2 + 5*o + 4. Calculate i(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717204 is divided by 10800.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 131 - 2*d**2 + 2*d**2 - 21*d**3.\nAnswer: -21*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Suppose -3*t = -3*i + 24, 0*t = -i - 3*t. Let q = i + -4. Let y(s) = -3*s**q + 5*s**2 + 0*s**2. Give y(h(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 82 - ((81 - 74) + 0 + -5).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253 = -71*f + 102 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 633672 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 divided by 100853?\nAnswer: 459\/100853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 12241\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3469 divided by -2?\nAnswer: 3469\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 3*h**2 + 3*h - 4. Let a be v(3). Let y be 4\/18 + a\/(-9). Let m = -1410.87 - -1414.87. Sort y, -6, m in descending order.\nAnswer: m, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 + -32. Let y = 451 + z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -68, -77, -64, -23, 52?\n\"Answer: k**3 + 2*k**2 - 38*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45934911*h**3 + 3099189*h**2?\nAnswer: 275609466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 127. Suppose 0 = -p*b + 814 + 242. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -132312?\nAnswer: -132313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 + -23 + -3 + 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 6*c + 3*c - 4*c - 137, 4*b - 12*c + 991 = 25*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, j: 3, y: 2}. Give prob of sequence vyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaffmfaaafmamfaffff. Give prob of sequence af.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 2 - 6\/(-3). What are the prime factors of a\/(-8)*-6*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 8\/35*x**6 + 7*x**2 + 0*x - 12\/35*x**5 + 3\/14*x**4 - 1\/14*x**3 + 0. Suppose s(k) = 0. What is k?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 bigger than -52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i. Let p be (14\/21)\/((-1)\/(-3)). Calculate w(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*p**3 + 23*p**3 - 4*p - 5*p**3 - 17*p**3 wrt p?\nAnswer: -78*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 7*p - 20. Let h = 11 + -11.3. Which is the smallest value? (a) -3 (b) p (c) -2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 96525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -160.\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 666.71 from -0.11.\nAnswer: -666.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 16 + 16)*((-2*x + 4*x - x)*(-1 + 3 - 4) + 4*x - 4*x + 4*x)*(-9 - 39 + 14).\nAnswer: -408*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-828)\/368)\/(54\/(-16))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, -5, 5 in ascending order.\nAnswer: -7, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 3076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6116 and 21.\nAnswer: -128436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4691, -19004, -42865, -76274, -119231, -171736, -233789?\nAnswer: -305390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 23 = 3*d, 3*u + 2*d - 4 = 18. Suppose -u*f - 7 = -3. Put 5, -5, f in increasing order.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 779*x**2 + 36*x + 130. What is the hundreds digit of f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 less than 116?\nAnswer: 116.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*h = 42*h + 6219 - 8598 - 7285 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7797*z**3 - 9646*z**2.\nAnswer: -46782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 269228420 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 3*v - 1630. What is the second derivative of -63*b**3 + v*b**3 - 78*b**3 + 2*b - 56 wrt b?\nAnswer: 132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -51, 30, 3, -52, 37.\nAnswer: -52, -51, 3, 5, 30, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1800 = -b - b. Let y be (2\/3)\/(7\/b). Let p = y - -86. What is the third smallest value in -0.5, -0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (36\/(-20))\/((-6)\/50). Suppose 0 = 3*q + 2*w - w + 14, 24 = -4*q + 4*w. Is 16 a factor of (-216)\/(-5)*(q - (-125)\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-36)\/(-63))\/((-1)\/7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = -6*h + 368. Suppose -h*i + 439 = 2*v, 2*i + 3*v - 354 = -2*i. Calculate the remainder when i is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6330006 is divided by 5275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)\/h)\/(h\/h**(-33)) assuming h is positive.\nAnswer: h**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518063590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -35.3. Let b = x + 0.3. Which is smaller: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppzuffpfpffpfp. Give prob of picking 1 u and 3 f.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*r - 10 = 129*r. Solve -9 = -5*z + r*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/8 + 281*f**2\/4 + 3913043*f\/8.\nAnswer: -f*(f - 2279)*(f + 1717)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(8 + 2)*12. Suppose 0 = -2*a + p + j, 3*a + 4*p - 31 = -0*p. Let h(n) = n + 6. What is h(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -11*t**2\/2 - t - 19. Suppose 0*u - 4*u = 48. Is l(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5751250 to the power of 1\/2, to the nearest integer?\nAnswer: 2398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 divided by -17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138156 + -52060. Suppose 17*i - i - b = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 535 and 856?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12981 and -45774?\nAnswer: 32793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-40)*5*1. Let w(q) = -q + 5*q**2 + 0*q**2 - t*q**2 + q**2. What is w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*l + 4*m, -3*l + 4*m = -28 - 51. Calculate the remainder when ((-2)\/(-4))\/((-1)\/(-162)) is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**5 - 536776*x**3 + 4*x**2 + 56316793*x?\nAnswer: -40*x**3 - 3220656*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q - 2. Let s(b) = -6*b - 2. Calculate 4*k(t) - 5*s(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -445.95 + 340.9. Round c to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 33\/(-9))\/((-10)\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*((-21)\/12 - 4\/(-16)). Suppose 2*t - w = -t. Solve t*u + u = -16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14.1 + -1.1. Let q = s - 5. Let k = q - 8.00000034. What is k rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8)\/((-16)\/(-4480)*10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijji when four letters picked without replacement from {j: 5, i: 8}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 444?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:05 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 - (-244)\/10. Let p = 62 - 50. Calculate the highest common divisor of p and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q. Let n(u) = -176*u**2 - 33*u + 33. Let p(v) = -27*v**2 - 5*v + 5. Let m(h) = 5*n(h) - 33*p(h). Give m(l(k)).\nAnswer: 99*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 863450 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.7. Let t = 0.6 - h. Which is the biggest value? (a) 2 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 - 6*y**3 - 7*y**3 + 2 as p + b*y + t*y**2 + w*y**3 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggegggggggege. What is prob of picking 4 g?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26742*f**4 + 294*f**3 + 9*f - 971044338 wrt f?\nAnswer: -106968*f**3 + 882*f**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(8*(-4)\/(-16) + -3). What is the third smallest value in i, 3\/5, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 3*c**2 - c. Let b(h) = -41*h**3 - 9*h**2 - h. Calculate -b(i) + 3*t(i).\nAnswer: 44*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3871686 divided by 1013.\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-1) + -34 + 39. Solve 3*z**4 + z**3 - 103*z**2 + 101*z**2 - z**c + 3*z**3 - 2*z**5 = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038942 to 6 dps.\nAnswer: -0.000389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3038946, 12155787, 27350522, 48623151, 75973674, 109402091?\n\"Answer: 3038947*q**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 2 + 0*b + 4. Let i(m) = 8*m + 19. Let s(q) = -4*i(q) + 11*k(q). Suppose -11*p = -2*p + 3*p. What is s(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4261?\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(5) - (sqrt(720) - sqrt(720)*-2)).\nAnswer: -sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 - 68615*f**4 + 1568010609*f**3 - 11903659862677*f**2 - 695700458650318*f.\nAnswer: f*(f - 22891)**3*(f + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 104*z + 1125 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 29*t**2 - 33*t - 140. Give x(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2115*l + 18907. Is c(-38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -868518\/583 + 13718\/53. Let g = 1234 + l. Is 4 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12029 - 135709*y - 12029.\nAnswer: -135709*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -21*p**3 + 13*p**2 - 13. Let o(j) = -5*j**3 + 3*j**2 - 3. Let t(r) = r**2 + 13*r + 10. Let d be t(-9). What is d*o(b) + 6*n(b)?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -729 divided by -9.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g + g - 13 + 0 - 6. Suppose -7*y = -78 + 78. Calculate v(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/21*3\/(-6). Let s = -2097 - -2097. Which is the nearest to i? (a) -4 (b) s (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 7 + 2 = 0. Suppose -3*k + 3*o + 677 = i*o, 5*o - 20 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 17. Let s be (1 - 2)\/l + 5 + 141. Does 29 divide s\/(14\/21*3\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 2 - 48 = 0. Suppose 0 = 3*y - 5*o - 184, c*y - 2*o = 2*o + 311. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5278.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 435880 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2035*s**2 - 4081*s**2 + 2091*s**2.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 2*y - 9. Let k(a) = a**2 - a - 1. Let n(h) = -3*k(h) + p(h). Let d = -14472 + 14474. Let b(f) = f**2 - f + 1. Determine d*n(r) + 11*b(r).\nAnswer: -r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + 46 + 0)*(-6)\/(-9). Suppose o*x - 15227 = -3939. What are the prime factors of x?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-558)\/186 + 3670\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times -4018187?\nAnswer: 72327366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*j - 14*j. Suppose -4*k - 13 + 105 = j. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + 3. Let u = 64 - o. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 27 - (0 - 3). Let w(r) = -r**2 + 56*r - 13*r**3 + 2 - 24*r - b*r. Let s be w(-1). Calculate the greatest common divisor of 65 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, o: 10, i: 2}. Give prob of sequence inoo.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -24, -44, -100, -210, -392?\n\"Answer: -3*u**3 + u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -47*q**3 - 253*q**2 + 2*q + 24. What is j(-6)?\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -176795283 and 0.054179.\nAnswer: -176795282.945821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/110 + (-9)\/(-6). Is 5\/213 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65295 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 16, 0, 3\/4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 112101213 (base 4) to base 3\nAnswer: 11122011020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -5\/2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(208) + sqrt(208) + 1*sqrt(208) - sqrt(208))*-1)**2*3.\nAnswer: 3840*sqrt(13) + 41136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.3, 3683, -4\/9, 4\/3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 11 = 61. Suppose -n*h + 30 = -12. Sort -4, h, 1 in ascending order.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*g**3 - 13*g**3 - 6*g**3)*(-63*g + 3 + 107*g - 52*g) + 2*g**4 + 0*g**2 + 0*g**2 to c*g**2 + t*g**3 + m + z*g**4 + n*g and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -564911 or -564918?\nAnswer: -564918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-43 - (1 - -2)). Suppose 0 = -3*w + w + n. Does 6 divide (w\/14)\/((-4)\/(-14))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/1260 + t**5\/420 - t**3\/3 + 4*t**2. Let u(s) be the first derivative of y(s). Factor u(p).\nAnswer: 2*p*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 177*m**2 + 260*m - 261. Let a be i(1). Calculate the greatest common divisor of a and 308.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = 2*r, 8*r + 15 = 3*r - 5*p. Let w be (0 + -2)\/(2\/(-2)). What is the greatest common factor of r and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyypsybsy. Give prob of sequence pby.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + m - 5. Let c(y) = -y**2 + 24*y + 11. Calculate c(s) + 4*g(s).\nAnswer: 3*s**2 + 28*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -62445 (base 7) to base 14\nAnswer: -5825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 336 - 173. Let d = s - 159. Solve 5 = 3*m - 4*c, 5*m + 11 = 2*m - d*c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 9417 in decreasing order.\nAnswer: 9417, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18844\/11 + 1713. Put i, 4, -0.2, -4 in increasing order.\nAnswer: -4, -0.2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2068617 and -2068617 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-1)\/(3\/9))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n - 4. Let h be y(0). Let g be h\/(-2) + -3 + 4. Let q = 3619 - 3618. Which is the closest to q? (a) g (b) -4 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 + g + 24. Let k be p(0). Let q be 3*(12\/9)\/2. Suppose -q*o - 24 = -2*x, -4*o + 6 = -10. Calculate the highest common divisor of x and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:12 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 93\/4 of a gram?\nAnswer: 23250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2702*x**3 - 10208*x**2 - 8408*x + 2400 = 0.\nAnswer: -2, 300\/1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 195402 and -0.018.\nAnswer: -3517.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*l + 0*l + 780 = 0, 0 = 5*l - 5. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/18)*s)**(-1) assuming s is positive.\nAnswer: s**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 47 + (23 - (16 + -8 + 25)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8466, -8224, -7802, -7188, -6370, -5336, -4074, -2572?\n\"Answer: 2*r**3 + 78*r**2 - 6*r - 8540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3\/5281?\nAnswer: -3\/5281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 64.50558cm?\nAnswer: 645.0558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2 + 0 - 5*d**2 + 2. Let j(y) = y. Let s(w) = -w. Suppose -u - 18 + 5 = 5*o, 0 = -5*u + 4*o - 7. Let f(k) = u*s(k) - j(k). Calculate f(p(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*w + 10. Let s be (w + 5)*(-1)\/3. Let i(m) = 8*m**3 - m**2 - m + 1. Calculate i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 69?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.4983525*-6\nAnswer: -2.990115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1, -3, 4 in descending order.\nAnswer: 17, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268 is divided by ((-8)\/28*7 - 1)*(-196)\/6?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, l: 2, m: 3, c: 4, n: 7}. Give prob of picking 2 n, 1 z, and 1 l.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 628 + 361 + 394.\nAnswer: l + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 87521 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 22. Suppose 3*r + 74998 = -d, 2*r = -0*r + p*d - 50010. What is r rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 3*l - 2*b, 5*l + b = 9. Suppose 20 = 2*k + l*k. What is the remainder when k is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 15*q**2 - 16*q + 15. Calculate the remainder when 89 is divided by k(-16).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 104 + -188. Let y = -110 - 18. Let s = n - y. What is the greatest common factor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397048.\nAnswer: 2, 31, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**2 - 2*p - 2. Let u(s) = 4*s**2 - 3*s - 19. Let g(b) = -4. Let y(i) = -4*g(i) + u(i). Give 3*r(v) - 2*y(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -4, 12, -5, 0.3, -68 in increasing order.\nAnswer: -68, -5, -4, 0.3, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtttttvtt. What is prob of sequence vtvt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*((sqrt(95) - -5*sqrt(95)*-2) + sqrt(95) + 3*sqrt(95)*2))\/((sqrt(300)\/sqrt(108))\/(sqrt(125) - (sqrt(125) + sqrt(125)*-1))).\nAnswer: 540*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(612) + 0 + 4 + 5)*6 - (5 + (sqrt(612)*-1*3 - sqrt(612)) + sqrt(612) + -3))**2.\nAnswer: -156828 - 16848*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 28 times -0.05\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4*h**4 + 2)*(264 + 468 - 33).\nAnswer: 2796*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 56*b**3 - 8*b**2 + 2*b + 20. Let t(m) = -56*m**3 + 12*m**2 - 3*m - 20. Calculate 3*f(p) + 2*t(p).\nAnswer: 56*p**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5344\/3 + (-1)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4c4fb (base 16) to base 2\nAnswer: -1001100010011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 2\/27, -49\/3, -9, 0?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(119)\/(sqrt(63)\/sqrt(36))))**2.\nAnswer: 72*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 2787*k**2 + 469986*k - 928800 = 0 for k.\nAnswer: -1075, 2, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01761 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 + 38.1. Let x = 4.9 + u. Which is greater: x or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/30*15\/18*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 2:42 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*d + 69, 0 = -2*u - 1 - 5. What is the remainder when 93 is divided by d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 > 6672\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177.43 + -177.53. Let w = -0.26 + 0.06. Which is the closest to 1\/4? (a) w (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/60 and 109\/132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2541 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168615.\nAnswer: 5, 433723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -g - 19, -4*g + 2*p - 22 = -0*p. Let x be g\/(-6) + 2\/6. Let j = x - -5. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 1:11 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1 - 12) + (1 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -q + 4*s + 28, -4*q + s = -207. Suppose q = 2*w - 9. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 7*f - 10. Let k be m(9). Suppose 0 = -5*h + w + 167, -7 = -5*w + k. Calculate the highest common divisor of 85 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:26 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4753353 and 43\/33892.\nAnswer: 19013412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 603.5731 tonnes in kilograms?\nAnswer: 603573.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464821 is divided by 232396?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80960179?\nAnswer: 47, 1722557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, -1, -9, -17?\n\"Answer: -8*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 5*m**2 - 2*m - 15. Let n be p(6). Solve -8*y + n*y = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 2*x - 12*x - 5*x + 17*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8193, 8165, 8117, 8049, 7961, 7853, 7725?\n\"Answer: -10*s**2 + 2*s + 8201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294488 is divided by 98?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4 - 1. Let j be ((-4)\/(-8))\/(l\/18). Suppose 0 = -5*v - 5*m + 2*m + 9, -4*m + 7 = 5*v. Solve j + 6 = v*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625838 is divided by 196.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 - 79 + 415 - 272*g + 1969.\nAnswer: -272*g + 2208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*p + 308 + 11580, -3*m + 4*p + 7120 = 0. Let v be m\/63 - (-2)\/7. Suppose u + 0*u - v = 0. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5171, -4357, -3543?\n\"Answer: 814*b - 5985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 272*a + 2990 + 1262 + 7172 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-35))\/(18\/(-42))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 2, a: 1, y: 1, g: 1, i: 1, k: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 641*h**3 - 10*h + 15. Let u(r) = -637*r**3 + 11*r - 15. Let g(j) = -5*f(j) - 6*u(j). Find the second derivative of g(s) wrt s.\nAnswer: 3702*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.2 (b) 2\/7 (c) 137 (d) -2\/3 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -82*b**3 + 144*b + 140*b + b**2 - 268*b**4 - 283*b + 83*b**3 in the form g*b + c*b**4 + r*b**2 + w*b**3 + s and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/5 + 13*v**3\/5 + 23*v**2\/5 + 11*v\/5.\nAnswer: v*(v + 1)**2*(v + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-8) + 12\/(-8)*44\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1, -255, -1\/2001?\nAnswer: -1\/2001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16200065 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 3. Let q be v(1). Factor -6 - 3*d**2 + 20*d**4 - 21*d**q - 3*d**3 - d + 6.\nAnswer: -d*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28825649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -167375253 or -334750503\/2?\nAnswer: -334750503\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6809?\nAnswer: 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -207?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -33323?\nAnswer: 33310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + sqrt(2299) - ((2*sqrt(38))\/sqrt(2) - (sqrt(1216)*-2 - sqrt(19))).\nAnswer: -8*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -4*i**3 + 141124*i**2 + 708096*i - 83839536 = 0.\nAnswer: -27, 22, 35286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 393, 399, 407, 417?\n\"Answer: a**2 + 3*a + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*n - l + 5, -3*n - l + 9 = 0. Suppose 18*d + 3*q - 24 = 15*d, 20 = 3*d + 2*q. Solve n*k - 10 = d*f, -3*k = -f - k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - c = 103, -k + c + 4*c + 38 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (726\/20)\/(16\/(-5) + 2). Let j = q + 81\/2. What is the common denominator of -49\/10 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.29469*8273.\nAnswer: -10710.97037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(12\/44) - 1. Let i = r + 10. Let s be 10\/4 - 1\/(-2). Sort s, i, -5 in increasing order.\nAnswer: -5, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4*c + 2*c)*(c**2 - 1 + 1) - 21*c**3 + 7*c**3 + 34*c**3 + (3*c**3 + 12*c**3 + 4*c**3)*(0 + 0 - 1).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + h + 2*h - 9*h - 3*y + 15 = 0, 5*y + 298 = -116*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(-13\/4)*d**(-1\/17)*(d*(((d*d*d**(-2\/7))\/d)\/d)\/d*d)\/((d\/(d*d*d**(-12)))\/d) assuming d is positive.\nAnswer: d**(-2425\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 98 + 7 = 0. Let w be (-2)\/(-3)*-3 - r. Suppose 54 = o - w. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 67 = 5*w, -l + 6*w = 3*w - 22. Let i(r) = r - 14. Let o be i(l). Suppose 4*g + 8 = 2*x, -4*x + 3*g = 2 - 3. Is x != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + 3*v)*(-17*v**4 + v**2 + 33*v**4 - 20*v**4).\nAnswer: -4*v**5 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -3 in ascending order.\nAnswer: -22, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - -0.7. Let f = -2.718 - -2.768. Sort -5, f, 1\/5, c in descending order.\nAnswer: c, 1\/5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 767*q - 585*q = 728. Solve -36*w = 3*f - 34*w + 2, q*w = -2*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 8*m - 32 = 0. Let n = m - -10. Suppose -3 = f - y - 5, -5*f - n = 3*y. Solve f*h + 2 = 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + -4 + 0 - (sqrt(1331) - (1*sqrt(1331) - sqrt(1331)))**2.\nAnswer: -1335 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 l when two letters picked without replacement from llaesawe.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -126, -128, -130, -132?\n\"Answer: -2*p - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 + 19*s**2 + 152*s wrt s?\nAnswer: 6*s + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + 200240?\nAnswer: 200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 214368199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avrw when four letters picked without replacement from {c: 1, v: 2, a: 1, r: 2, w: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 568.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + -9. Let r be 2576\/253 - (-2)\/v. Is r\/(-4)*1778\/(-35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 * -4.9379\nAnswer: 202.4539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 1. Let d be q(2). Let f(w) = -571*w**2 - 4*w - 4. Let u(r) = -571*r**2 - 4*r - 4. Let i(g) = d*f(g) - 4*u(g). Is i(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*o + 34. Let t(h) = h**2 + h - 1. Let b be t(1). Let x = b - o. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 900709 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8998 divided by -1?\nAnswer: 8998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 15. What is the remainder when 5*5*(-1 - -2) is divided by (13 - i\/2) + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2582682, 5165341, 7747980, 10330599, 12913198, 15495777?\nAnswer: 18078336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1558 + 1554. Put 1\/4, s, -61 in descending order.\nAnswer: 1\/4, s, -61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -11*h + 349 - 418, -h = -3*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**10\/1008 - l**6\/360 + l**3\/2 - 4*l. Let y(z) be the second derivative of b(z). Find the third derivative of y(o) wrt o.\nAnswer: -600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1422 - 1428.96. What is c rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15524.672 to 0 dps.\nAnswer: -15525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5110112 * -11\nAnswer: -5.6211232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -657, -1482, -2701, -4356, -6489, -9142?\nAnswer: -12357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 1. Let b(t) = 22 + 7*t - 22*t**2 + 10*t**2 + 13*t**2. Let w(r) = -b(r) + 3*k(r). Factor w(i).\nAnswer: -(i + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65673221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8428\/(-602)*2\/(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 473 - 473.0277. Let y = -2.9723 + i. Which is the nearest to -0.1? (a) -8 (b) y (c) -1\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45444 = 116*t - 32*t. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17599 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g + 4*f - 26 = 8*f - 86, 23*f + 114 = 26*f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 60*o - 177. Determine f(-17).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3409, 7549, 11763, 16087, 20557, 25209, 30079?\n\"Answer: 6*c**3 + c**2 + 4095*c - 693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 31 = 3*x, -a = a + 5*x - 58. Suppose -178 = -2*j - 4*n, -3*n = 2 + 4. Calculate the remainder when j is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 4*l**2 - 410*l + 2076. Calculate n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2\/3 - 166030*c\/3 - 55345 = 0.\nAnswer: -1, 33207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 503604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 879*s + 16. Let r(w) = 2675*w + 50. Calculate -19*g(y) + 6*r(y).\nAnswer: -651*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 720223 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7214, 14405, 21592, 28775, 35954?\n\"Answer: -2*s**2 + 7197*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.39 + 0.09. Let g = 1278490.700004 + -1278493. Let b = g - j. Round b to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v. Let f(m) = -5*m - 12. Let p(o) = 9*o + 22. Let l(t) = -11*f(t) - 6*p(t). Calculate n(l(d)).\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14943068017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x. Let u(i) = 6*i**2 - 2*i + 803. Determine u(d(q)).\nAnswer: 6*q**2 + 2*q + 803","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 8. Let w be -1*v*-4*-1. Let d(n) = 1. Let y(u) = u**2 + 4*u - 2. Let s(i) = -3*d(i) - y(i). Determine s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 2187*h + 945242.\nAnswer: (h + 593)*(h + 1594)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277 = -55*k + 218. Let g(p) be the first derivative of p**4\/4 + 5*p**3\/3 + p**2 - 3*p - 2. Let x be g(-4). Solve 2*b - x*b = -k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 855 - 2345996360.\nAnswer: -2345995505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 20315757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 l, and 1 v when three letters picked without replacement from lhvlvlvvlvlllhhvhhvl?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23074 + 338*z - 331*z + 23016.\nAnswer: 7*z - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.44511*0.5.\nAnswer: -3.222555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*l + 228405 = 0, -456805 = 2*w + 8*l - 3*l. What is w rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1123, -0.2, -3, -0.04 in decreasing order.\nAnswer: -0.04, -0.2, -3, -1123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 + 155. Suppose 2*c + d - 2*d = 117, 2*d = c - t. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 0*g)*((4 + 4 - 3)*(2 - 2 + 3) - 2 + 6 - 2)*(0*g + g + 5*g).\nAnswer: 102*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:20 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 5*w**2 - 5*w. Let z be g(-4). Let c(f) = f**2 - 3*f - 1. Let x be c(z). Let j be 20\/16 + x\/4. Solve j*o = 3*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/8)*x*(x*x\/x**(-5\/4)*x)\/x*x*(((x\/((x**(-3)*x)\/x)*x*x)\/x)\/x)\/x**5 assuming x is positive.\nAnswer: x**(31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15322 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202122 + 101?\nAnswer: -11202021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7381 + 7380.99. Sort -0.5, 3, p, 1\/3 in decreasing order.\nAnswer: 3, 1\/3, p, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157.21 + -157.9. Let v = 115 - 114.7. Which is the closest to -1? (a) f (b) v (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 121*n**2 + 8*n - 4. Let y be 6\/2 + 4 + -1. Let l be d(y). What is l rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4376, 12666, 26490, 45854, 70764, 101226, 137246, 178830?\n\"Answer: l**3 + 2761*l**2 + 1614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*x - 201 = -1019*x + 11349 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 77*t - 19*t + 663 + 1143, 4*z - 4*t - 17 = 99 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 6*b**2 + 12*b**2 + 14*b**2.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-4 - (-17)\/4). Which is the nearest to n? (a) -2\/3 (b) 2\/11 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -756, -1692, -3000, -4680, -6732, -9156?\nAnswer: -11952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, 41, 65, 89, 113, 137?\n\"Answer: 24*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 15733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-4\/3)*k*(k*(k*k\/(k\/(((k*k\/(k*k\/((k**(6\/5)*k)\/k)))\/k)\/k)))\/k)\/k)\/(k\/((k**(-2)\/k)\/k*k)*k**5))**(-13\/3))**(-19) assuming k is positive.\nAnswer: k**(-37544\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15747321 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1\/((b**(-41)*b)\/b))\/(b**(-26)*b**(-8)))**(3\/7) assuming b is positive.\nAnswer: b**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in -0.47, -1, -5, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*y = 12, -4*t - 3*y + y = 6. Suppose t*i - 20 = 4*i, m - 3*i + 24 = 0. Let w be (-4)\/(-6) - m\/(-1188)*21. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440412210 (base 6) to base 14.\nAnswer: 108c6aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -2 + 2 - (130 - 80)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*h**3*k**3 + h**3*s + 454*h**3 + 9465*h**2*k**3*s**2 - 43*h**2*k**2*s + k*s**2 wrt k.\nAnswer: -96*h**3 + 56790*h**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -44. Suppose -5*t = -g*t + 25. Suppose -2*l = l - 2*u - 64, -t = u. Calculate the greatest common factor of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, y: 1, j: 5, l: 5}. What is prob of sequence ylji?\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bat when three letters picked without replacement from {m: 2, u: 2, t: 1, a: 1, b: 4}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 246. Suppose f = -8*g + 27. Solve -2*v - g*v = 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {p: 3, i: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - 20\/(-16). Suppose -2*s = -5*s + 5*z + 2, 4*s = 5*z + y. Let i be (-30)\/(-8) + s\/(-4). Solve -i*q - q - 13 = -3*u, 3*u = 4*q + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -23. Let s = 0 - w. What is the greatest common factor of 153 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251091 to the power of 1\/2, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 10*x**2 - 38*x + 15. Let h be s(-13). Suppose 0 = 7*q - 2*q + 3*w - 58498, h*w + 46794 = 4*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, t: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 11. Let x = u - 13. Which is the nearest to -0.2? (a) x (b) 4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 14 + 1, a + 2*i = -4. Suppose 2*q + 3*n + 31 = 0, 36 = -q - q + a*n. Sort 3, -3, 4, q in descending order.\nAnswer: 4, 3, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5444010 and 27621?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39 - -8?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-120)*(-8)\/(-9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 665\/(-532)*8\/(-90)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434793.\nAnswer: 1434793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*d**3 + 9*d**2 + 96*d**3 - 126*d**3 - 15*d**2 + 6*d**2.\nAnswer: -132*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*i**2*v - 2934*i**2 - 4*i*v - 4*i + 329*v + 1 wrt v?\nAnswer: -81*i**2 - 4*i + 329","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 13*f**2 - 4*f + 5. Let a be h(4). Suppose -6*y = -13*y + a. What is the highest common divisor of y and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166874235, -166874227, -166874217, -166874205, -166874191, -166874175, -166874157?\nAnswer: -166874137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 22731 = 13*z - 12*z, -113685 = -5*z - 5*w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 29*p - 142. Give o(30).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -4428?\nAnswer: -11\/4428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 4592514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -154, -420, -870, -1504, -2322, -3324?\n\"Answer: -92*m**2 + 10*m - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -162\/11*j - 2\/11*j**5 + 0 + 216\/11*j**2 - 108\/11*j**3 + 24\/11*j**4 = 0. What is j?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036895647?\nAnswer: 17, 2011, 59581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 693 + -677. Solve -12 = j - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**2 - 408980*c + 41816160100 = 0.\nAnswer: 204490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d = 5*u - 140, 4*d = 5*u - 113. Let s = 40 - u. Suppose -n + 15 = -5*j - 0, -5*j + s = 2*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 148*n - 17 = 150*n, -2*q + 12*n = 9*n + 6 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(108) - (sqrt(108) + 3)**2).\nAnswer: -112 - 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + -15. Let d = x - -29. Suppose d*y - 13 = 1. Calculate the remainder when 54 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 81, -61, -15 in decreasing order.\nAnswer: 81, -9, -15, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from cksccbsbc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - 0. What is the least common multiple of 2 and (-1 - y)*3\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3511280 = 879*y + 3415469 for y.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 28*b**2 + 234*b - 979. Let v(t) = 81*t**2 + 703*t - 2938. Let l(f) = -26*q(f) + 9*v(f). Factor l(s).\nAnswer: (s - 4)*(s + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66*i + 56*i + 48*i)*(1 - 2 - 2)*(3*i + i - 2*i)*(-3*i + 0 + 0) to the form z*i**3 + c*i**2 + v + w*i and give z.\nAnswer: 3060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/15)*p**(-2\/9)\/p)\/(p*p\/(p*p\/p**21)*p**(7\/2)) assuming p is positive.\nAnswer: p**(-2309\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**4 + 3368249*w**3 + 49970090*w wrt w?\nAnswer: 24*w**2 + 20209494*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 3*a**2 + 4*a + 16. Let v be u(1). Let r be -36*(v\/8)\/(-1). What is r rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5 + 2.7. Suppose 3*y - 4*y = b, -5*b = 3*y - 2. What is the nearest to y in g, 0, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 9*k - 33. Let x be l(12). Suppose -36*p + x*p + 2508 = 0. What is the remainder when 86 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 121 = 22*f - 18*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {z: 4, w: 8, s: 2, y: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 3*h - 8*h + 34, -5*h + 2*h = c - 77593 + 77576 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2636*k + 150336 = 2582*k. Which is smaller: k or -22281\/8?\nAnswer: -22281\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 6*f**2 - 129*f - 15. Let k be o(18). Calculate the greatest common factor of k and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 872 and 1000?\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26588.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1*4 + (-1633)\/92 and -73\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3584*n**2 - 162*n + 15849130?\nAnswer: 7168*n - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-221)\/39)\/((-3)\/9). Suppose -4*i = -7*i - 9, 5*m = -i + n. Solve -4*k - m = -4*q, -2*k + 8 + 0 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-1)*1*(-1 - -2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43618.5246 to the nearest ten.\nAnswer: 43620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4681220?\nAnswer: 2, 5, 19, 97, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.2. Let a = 257\/315 + -1\/63. Let l = -2.08 + 0.08. What is the nearest to l in a, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -8*t - 279. Let l = t + 36. What is the units digit of (l + -3)\/(4 - (-1785)\/(-445))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240 - -169. Let i = -71.04 - g. What is the second smallest value in 0.3, i, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.34 + 1.3. Let g = -0.04 - r. Let u(n) = -n**2 + 11*n + 210. Let h be u(-10). Which is the closest to g? (a) h (b) -4 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3075890381?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171 and 1196658?\nAnswer: 1196658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96176806 bigger than 96176806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216148.\nAnswer: 2, 54037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a - 1. Let l(n) = -2 + 8*n - 3 + 3. Let v(d) = 3*l(d) - 5*m(d). Let w(s) = -3*s**2 + 43*s - 156. Let f be w(7). What is v(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 133*y**3 - 3*y - 12. Let q(g) = -399*g**3 + 9*g + 34. What is 17*h(a) + 6*q(a)?\nAnswer: -133*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10\/27 (b) -0.5 (c) 2 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + f = 57 - 19, -2*o - 5*f + 21 = 0. Solve o = -5*l + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-10))\/(2\/(-16)). Suppose d*o + 31 + 77 = -2*q, -o - 4 = 0. Let g = q - -67. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-28))\/((-34)\/(6\/3))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -68 - (-84 - (-21 + -54))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -7) + 35 + -53?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482 a factor of 408197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/100*126\/(-147))\/((-12)\/(-5))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -9. Let g be ((-22)\/(-1))\/(n\/(-16)). Let y = g + -63. Calculate the remainder when y is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 3626076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8276*v - 54141 with respect to v.\nAnswer: 8276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -6*d - 0*d. Let p(m) = 2*m**2 - 5*m + 2. Let q be p(3). Suppose -q*z - 6 + 91 = d. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -969*1.7729.\nAnswer: -1717.9401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = 3*x - 4*x, 5*j - 3*x = -10. Let m be (-12)\/(-24)*(j + -1). Find d such that 2*d**2 + 2*d + m - 35\/2*d**3 = 0.\nAnswer: -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d**3 + 34*d**2 + d - 6. Let f(z) = 78*z**3 + 248*z**2 + 6*z - 44. Determine 6*f(t) - 44*h(t).\nAnswer: -16*t**3 - 8*t**2 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 85 in -11, -5, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12544, 50703, 114300, 203335, 317808?\n\"Answer: 12719*v**2 + 2*v - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1299080 divided by 324770\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4510?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 times 0.17?\nAnswer: 98.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 1\/2, -2\/5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -19*o**6\/360 - 7*o**5\/40 - 11*o**4\/12 + o**3\/2 - 8*o. Let m(l) be the third derivative of u(l). Differentiate m(h) wrt h.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 3*g**4 - g**2 + 2*g**4)*(1 + 7 + 0).\nAnswer: -8*g**4 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/5460*-15*875\/20*2.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164651\/166800 + 1\/2224. What is the common denominator of x and 82\/45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**3 + 3*s**2 + 2*s. Let d be (-4)\/(-10) - (-3)\/(15\/43). Let i(k) = -29*k**3 - 13*k**2 - 8*k. What is d*j(u) + 2*i(u)?\nAnswer: 5*u**3 + u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 30*g**2 - 55*g + 30. Determine n(-28).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {c: 3, z: 1, i: 1, w: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 545.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7170 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: Calculate the least common multiple of 212 and 530.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -245*j**3 + 1603007455*j**2 - 916004200*j + 130857740.\nAnswer: -5*(j - 6542887)*(7*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 11*v**3 - 3*v**2 - 10*v + 2. What is p(-2)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427181 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m + 1 + 31*m**3 - 8 - 22*m**3 - m**2 - 12*m**3 - 2 to the form s*m + w + n*m**2 + v*m**3 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/72 and -44\/138427.\nAnswer: 9966744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184957652 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -12. Suppose 2*o - 4*f + 20 = 4*o, o - 6 = -f. Suppose 2 = 2*t - 2*n - 4, -3*n = -t + 1. Solve m = -t*v + 2*v - 5*q + 12, -o*q = -4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -6d74?\nAnswer: 6d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1581751*s**5 + s**4 + 2*s**3 - 2*s**2 + 391609*s + 2 wrt s?\nAnswer: -94905060*s**2 + 24*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + -11. Find the common denominator of n and ((-10)\/36)\/5*-86.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 56*s + 4. Suppose 0 = -4*o + 9 - 5. Let c be w(o). Suppose 0 = -3*i - i + c. What is the greatest common factor of 120 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 2872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3)*g**(-3)*g)\/(g*g\/(g*g**(1\/3)))**31*g**(2\/13)\/(g\/(g*g**(-4\/5)*g))*g**(-4)*g\/((g**4*g)\/g) assuming g is positive.\nAnswer: g**(-1927\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*-2*(-10)\/(-4). Suppose -b*x + 16 = -x. Let a(r) = r**2 + 8*r - 12. Calculate the least common multiple of x and a(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 18*t**2 + 83*t + 1440. Calculate w(-18).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 3:46 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**3\/3 - a**2\/2 - 1. Let p be n(-1). What is the derivative of -2 + p*g**3 - 3*g**3 + 2*g**3 wrt g?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {p: 3, c: 1, g: 4, l: 7, b: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**42)\/(b\/(b*b\/(b**4\/b*b)))*b\/(b**(-24)\/b)*b**(1\/23) assuming b is positive.\nAnswer: b**(1519\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqllblgjjglujjllbjq. What is prob of sequence bbjg?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/11 - 43380*d**2\/11 - 235358136*d\/11 - 1410587568\/11.\nAnswer: -2*(d + 6)*(d + 10842)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4*a + 32, -m + a - 16 = -4*m. Let i be m\/(-18) + 128\/6. Let k be (i\/14)\/((-2)\/(-4)). Solve -3*l + 9 = 2*q, -3*q + 2*q = -k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235 + -445. Let v = -209.5 - q. Sort 3, v, -1\/3, -3 in decreasing order.\nAnswer: 3, v, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from nfxnxinnnfnxzinzxfxf?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13934069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 44 - 44 = 0. Let x = -7 + m. Suppose -2*t + 3*o - 11 = -t, -3*o = -x. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -19*w. Let g(r) = 120*r - 260. Let q(c) = -11*c + 24. Let d(t) = 6*g(t) + 65*q(t). Calculate o(d(x)).\nAnswer: -95*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 1. Let w(p) = -2*p**3 - o*p**2 + p**3 + 11*p - 13 + 3. What is the units digit of w(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 3*x + 1. Let g be s(-5). Suppose 194*n + 15 = 195*n. Solve -5*v = -n, 6*p - 3*v = 2*p + g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d + 27. Let s = -103 - -80. Let f be (s\/(-5) + -1)\/(3\/(-10)). What is the hundreds digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -8*c + 704. What is the third derivative of c*p**3 - 182*p**3 - 4*p**4 + 94*p**3 + 2*p - 31*p**2 wrt p?\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qii when three letters picked without replacement from {l: 3, i: 6, q: 6, n: 4}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from mktkztztpcppkkkkc.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -29*v**3 + 42*v**3 - 2*v - 7*v**2 + 2 + 12 - 12*v**3. Let d be o(7). Sort d, 10, 1, -4 in descending order.\nAnswer: 10, 1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.5 - 18. Suppose 4*w - 13 = -5*c, 3*c + 0*w = -w + 12. Put 1, i, c in decreasing order.\nAnswer: c, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a**2 - 101306*a\/3 + 13508\/3 = 0.\nAnswer: -3377, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**4\/12 + m**3 - 2*m**2 - 3385*m - 2. Let n = 0 - -2. Let l = -4 - n. Give o(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 13 = 17. Which is smaller: -7 or o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525221 is divided by 871.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n + 1\/2*n**2 + 1\/6*n**3 + 0.\nAnswer: n**2*(n + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -18, 4*s + 3*d - 2*d = 4402. What is the highest common factor of s and 532?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(425))**2) + 5 + 5 + -6*(-2*sqrt(17) + -1).\nAnswer: -409 + 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, 0.3, 209?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787379 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*3*2\/(-12))\/34.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d + t - 47 = 0, t = -5. Let r = -8 - d. Suppose -45 = -8*x + r*x. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*d - 5*d - 33, 65 = -5*d + 5*k. What is the remainder when d\/15 + (-296)\/(-10) + -4 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 21 + 60 = 4*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 25. Suppose 2*n - 64 = 5*j - n, 3*n - 9 = 0. Let g be i(j). Suppose 3*z - 1 = g. Solve -2*l + z*u + 18 = 0, -2*u - 2 = -u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 788*p + 155236.\nAnswer: (p + 394)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 5:38 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o - 25*o = 23*o. Let z(k) be the first derivative of 0*k + o*k**2 - k**3 + 0*k**4 - 24 + 3\/5*k**5. What is the third derivative of z(s) wrt s?\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 46*w**2\/17 - 42*w\/17 - 4\/17 = 0. Calculate w.\nAnswer: -2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/30 and -23\/17815.\nAnswer: 106890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of 0 + 8\/21*c**7 - 3\/4*c**4 + 0*c**5 + 0*c**2 + 7*c + 0*c**6 + 0*c**3. Find the third derivative of l(b) wrt b.\nAnswer: 960*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 29*h**2 + 1 + 7*h**2 - 2*h**2. Is r(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -13*d**5\/5 + 3*d**2 + 105*d + 68. Let s(l) be the first derivative of w(l). Find the first derivative of s(b) wrt b.\nAnswer: -156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let x = 11 + -16. Let z(p) = -p**3 - 6*p**2 - 5*p. Let d be z(x). Let o(n) = 2*n + 2 - 2 + d. What is g(o(a))?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(3 - 4*f - 3) + (-2*f - 3*f + 6*f)*(4 - 1 - 2))*(0 + 1 - 4).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275, -381, -473, -545, -591, -605, -581, -513?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289*i**4 - 530?\nAnswer: -1156*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5416 + -5396. Calculate the greatest common factor of 625 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10717 - 3443 = -2*z - 3*s, 5*z + 18202 = s. Let i be (z + -3 - 0)\/1. Let c = -29095\/8 - i. Calculate the common denominator of 103\/18 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264582934 - 12627066. Round v to the nearest one million.\nAnswer: -277000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8524, -8367, -8232, -8125, -8052, -8019, -8032, -8097?\nAnswer: -8220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00795 take away -4?\nAnswer: 3.99205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2483 is divided by 38?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*n + 399 - 1884 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - 3*r**2 + r - 3. Let g(u) = 7*u**3 + 5*u**2 - u + 5. Let n(h) = 3*g(h) + 5*s(h). Find the second derivative of n(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/33)\/(276\/(-12144)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28803, -3.1, 1 in ascending order.\nAnswer: -3.1, 1, 28803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 2651426587.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5640 and 1367512.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 7*u**2 - 9*u + 8. Let h be t(6). Let o = 151 + -150. List the prime factors of ((2 + -14)*o)\/(3\/h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 12:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2191*m - 5*m**3 - 2239*m - 9*m**3 in the form o*m**3 + r*m**2 + z + g*m and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -33*f**2 + 168*f + 21178. What is t(28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213 minus 2841?\nAnswer: -2628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/13 + 686\/1820.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - m = -4642 + 31460, 80426 = 3*s + 4*m. Is s a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3035, 3053, 3081, 3125, 3191?\nAnswer: 3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -34*j - 30. Let s(g) = -11*g - 10. Let p(r) = -5*i(r) + 16*s(r). Let w be p(-3). Let h be ((-28)\/w)\/((-4)\/(-8)). Which is greater: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -107.64949 and 0.4.\nAnswer: -43.059796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kdkk when four letters picked without replacement from {d: 3, k: 12}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 8:11 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 21*o - 5870. What are the prime factors of o?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - w + 17 = 0, -5*p + 131*w = 132*w + 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -20\/3, 2, -1\/3, 6, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25871, -25872, -25873, -25874?\n\"Answer: -i - 25870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 11 (b) 0 (c) 0.4 (d) 3\/4 (e) 601.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 147011 (base 8) to base 2\nAnswer: 1100111000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/10 in 3\/2, 2\/23, 0.3, -0.06, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 8163.\nAnswer: -4\/8163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h - 46*h = 193*h + 182 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*n = 106, -o + 15 = 2*n - 30. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 43517 = 4*h, 8*h - 43519 = 4*h + g. Is h a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**4 - s**4 - 3*s**4)*(-1 + 0 + 0) + (3*s - 2*s - 5*s)*(-2*s**3 + 4*s**3 + 0*s**3) + (s - s - s**2)*(0*s**2 + 0*s**2 + s**2).\nAnswer: -11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6946 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.6 or -0.131?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.1. Let x = -5.9 + 4.2. Let b = 2 + x. What is the third smallest value in p, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -0.020314.\nAnswer: 25.979686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1601908.2 seconds to hours.\nAnswer: 444.9745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -59*k**4\/12 + 13*k. Let f(y) be the second derivative of y**3\/2 + 20*y. Determine g(f(b)).\nAnswer: -531*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 75.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 60560 + 14328 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/104)\/((-9)\/(-36))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**5\/12 - 20*a**4\/9 - a + 199. Suppose q(y) = 0. Calculate y.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*o + 2, 25 = x - 6*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4148 is divided by (-20)\/30*-3 + 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -5*h - 4*k, k + 418 = -h + 431 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p\/(p**(-3)*p*p*p)*p))\/(p*(p\/(p\/((p*p*p*p**(-1))\/p)))\/p)*p**(-1\/2))**(-4\/15))**2 assuming p is positive.\nAnswer: p**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -53*f**3 + 4*f**2 + 4*f + 59. Let y(i) = -159*i**3 + 11*i**2 + 11*i + 178. Let k(g) = -11*q(g) + 4*y(g). Differentiate k(b) wrt b.\nAnswer: -159*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5750 and 23575.\nAnswer: 235750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m - 4674 + 4674.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(432) + sqrt(3) + sqrt(3) + ((sqrt(15) + sqrt(30)\/sqrt(2) - sqrt(15))\/sqrt(5))**2.\nAnswer: -22*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -664*g - 96294. Calculate i(-145).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 118116 to the power of 1\/2, to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3\/2 (c) -73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*p + 34*p + 6. Let f be 1\/(5 - 4)*-1. Suppose 59 - 44 = 15*q. Sort p, 4, q, f in decreasing order.\nAnswer: 4, p, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1054179793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 218 and 10573.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1546639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -344\nAnswer: -3\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241*n**4 + 6*n + 33 wrt n.\nAnswer: -2892*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/10)\/(6\/20). Solve t**2 - 2*t + 2*t**2 + s*t + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/((-640)\/192).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2096 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**3 - 4*z**3 + 5*z**3 + (-1 - 4 + 3)*(0*z**3 + z**3 + z**3))*(3*z - 7*z - 5*z) as q*z**2 + g*z**3 + s*z**4 + t + u*z and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d - 86*n = 82*n - 171*n - 9 - 15, -3*d + n - 6*n = 40 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1, -4*x - t + 11 = -7*x. Let l = 1.4 - 1.8. Which is the second biggest value? (a) l (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 (base 9) in base 2?\nAnswer: 111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 x when three letters picked without replacement from qxcccqxwxxqcxxwqxc?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 232560?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 21*r**2 - 20*r. Let d be n(20). Suppose -430*i + 427*i + 11220 = d. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 - 5*w**2 - 5*w. Let p(y) = 8*y - 21*y + y**3 + 2*y**2 + 15*y. Suppose 3*u - 2*k + 6 = -8, 0 = 5*u + 2*k + 18. Give u*n(q) - 10*p(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 + p**4 + p**4 + (2*p**4 - p**4 - 3*p**4)*(5 + 8 + 1) as c*p + t*p**2 + h + o*p**4 + r*p**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30117 + 759 = -6*q. Suppose 11*h = 8*h + q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/7 and 27\/94.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19\/68 - -1\/34. Suppose 4*u = -3*o + 24, -14 = 3*u - u - 5*o. What is the nearest to -2 in -2\/5, u, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d - 4*r + 1116 = 0, -2*d + r + 564 = 0. What are the prime factors of d?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)\/i*i**(1\/11)*i)**(1\/5)\/((i**(1\/4)\/i)**(-2\/83)\/((i*i\/(i\/(i*(((i**(-1\/3)\/i)\/i)\/i*i*i)\/i))*i)\/i**6)) assuming i is positive.\nAnswer: i**(-1017061\/191730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (8\/2*1 - (24 - 23)). Which is greater: z or -1\/3979?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 2. Let q(v) be the second derivative of -v**3\/6 - 7*v. Give -i(c) + 2*q(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1074\/945 - 2\/10 and 113\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -633 + 632.939. Let l = -19589.939 - -19603. Let m = f + l. Are m and 0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 - -94. Let z = i - 150. Let d = -67 - z. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 13*s**5\/10 + s**4\/4 - 2*s**3\/3 + 1528*s**2 - 7661*s. Differentiate a(v) with respect to v.\nAnswer: 78*v**2 + 6*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -64?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 7*p = -44. Let w = p - 5. Suppose -h - 100 = -w*h. Calculate the highest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1761926542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -261 (base 8) to base 5\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = u + 16, 4*u - u + 2*u + 463 = 3*n + 434 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 3*q - 2. Suppose 0 = -j + 21 + 147. Let h = 171 - j. What is v(h)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 14. Let m be z(14). Does 37 divide (-448 - m)\/(-2) - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.1 - 7.5. Let a = -0.601 + v. Let i = a - -18.401. What is i rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 166, 497, 996, 1663?\nAnswer: 2498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1052*m**2 - 5263*m + 15.\nAnswer: (m - 5)*(1052*m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**4\/7 - 15846*m**3\/7 - 24987*m**2 + 1270320*m\/7 = 0.\nAnswer: -16, 0, 5, 5293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2*3008\/896*(-630)\/90.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 15 + -1 - -2. Suppose -v - 130 = -4*g. Let o(w) = -8*w**3 + 2*w**2 + 2*w + 1. Let r be o(-1). What is the highest common factor of r and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 12, 2*o = -4*a + a + 56994. Suppose 12*s = 19101 + o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6371 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 y(a) = -a + 8. Let n be ((-5)\/(-10))\/(2\/4). Let j be (3 + n)\/4 - 1. Let g be y(j). Solve g*m = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 11 - 6*v**2 - 4*v**2)*(-3 + 0 + 2).\nAnswer: 10*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -285\/86 + 164\/43. Sort -0.5, 0.3, 61, a, -2\/17 in decreasing order.\nAnswer: 61, a, 0.3, -2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 155, 7, 2, -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 21 + 78)*(u - 3*u + 0*u).\nAnswer: -216*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 times 10?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.1. Suppose o + 16 = -3*z + 3, -z + 3*o = 1. Let l = -7.97 + 7.57. Sort p, z, l in increasing order.\nAnswer: z, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3681107.\nAnswer: 389, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0931 - 0.09927. Round x to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 24 = -9*p + 5*p, 2*k - 5*p = 33 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 6*l = 22, -4*k + 259*l - 254*l = 27 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (59 - 49)*(-2)\/(-4). Find the third derivative of 3*w - 62*w**5 - u*w + 7*w**2 - 6*w**2 - 3*w**2 wrt w.\nAnswer: -3720*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31764 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14809 * 3.\nAnswer: 0.44427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 63, 69, 75, 81, 87?\n\"Answer: 6*l + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 + 19*v**4 - 9*v**4 - 7*v**4)*(3 - 3 - 2) + (v + 5*v - 8*v)*(-4 - v**3 + 4).\nAnswer: -4*v**4 - 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 + 2*l - 29. Determine t(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105901599107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 1\/160*i**5 + 0*i**3 + 0 + 8*i + 7*i**2 - 1\/64*i**4. Let l(d) be the first derivative of u(d). Let l(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32323931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 - 3*x**2 + 9*x**2 + x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 18 = -c. Suppose 0*a = -a + c. Let t(l) = l**2. What is the remainder when t(-5) is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 110110102?\nAnswer: -110110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 342398608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/20 - 9*r**4\/4 - r**3\/6 - 11*r**2 - 19*r. Let c be d(-27). Solve -q + c*q + 4*w - 24 = 0, 0 = -5*q + 5*w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(28) - sqrt(112)*-5) + (2*sqrt(77))\/sqrt(11) + (sqrt(847) + 1)**2.\nAnswer: 46*sqrt(7) + 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6041, -6005, -5935, -5831?\n\"Answer: 17*q**2 - 15*q - 6043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 0 + 4\/3*x**4 - 5*x**2 + 19\/6*x**3 - 1\/20*x**5 - 10*x. Let i be u(17). Calculate the greatest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -3*m**4 - 1008*m**3 - 999*m**2 + 2010*m = 0?\nAnswer: -335, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, -16, -4, 13, 4.\nAnswer: -16, -8, -5, -4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/14)\/((-14)\/((-588)\/(-9))).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = 14. Suppose 4*r - 1 = x*r - z, 0 = 3*r - 4*z + 1. What is the common denominator of -75\/16 and 174\/81*r\/(-4)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*f**2 - 90*f + 90*f + 126*f**2.\nAnswer: 159*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1007*t + 135. Let s(r) = -336*r + 46. Let i(u) = 3*k(u) - 8*s(u). Find the first derivative of i(b) wrt b.\nAnswer: -333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66469.14 millilitres to litres.\nAnswer: 66.46914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuluufllfl. Give prob of picking 4 l.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 166595952.\nAnswer: 166595952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118095 to the power of 1\/2, to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 3 = o - 5*u, u = 4*o + 105. Let g(i) = -i**2 + i - 1. Let d be g(4). Let r = d - o. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 13. Let j be u(-7). Suppose 0 = -3*c + 6*c - j. Sort -0.1, 4, c in ascending order.\nAnswer: -0.1, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**3 + 2*j**2 - 4*j - 128. Let q(b) = 3*b**3 - b**2 + 3*b + 129. Let l(r) = 2*h(r) + 3*q(r). What is the tens digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/4*(-336)\/35. Let o = 65 + z. Let j(c) = -c**3 - 8*c**2 - 9*c - 7. Determine j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-16)*8\/(-6). Let z = b + 5. Let o(h) = -h**2 + 3*h. Let q be o(z). Solve -3*g = 3 - q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 4. Let h be y(3). Let s = h - -2. Solve -3*x + 11 - 2 = s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 8*m**2 - 6*m + 4. Let h be w(-7). Let g be 0\/(6\/(h\/(-1))). Which is the nearest to g? (a) -2\/7 (b) -0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30077 (base 9) to base 3.\nAnswer: 1000002121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*t - 7, 5*t - 2 - 9 = 3*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1297 - 569. Let n = 1023 - j. What is the greatest common factor of n and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53050384*g**4 + 18301*g**2 + 287*g - 4.\nAnswer: 1273209216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-27)\/5 + (-4)\/(-10). Calculate the remainder when (-16)\/(-6)*(k + 11) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 41*c**3 + c**2 + 3*c - 5. Let h be k(2). Suppose -4*l = 25 - h. What is the remainder when l is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062914226 to five dps.\nAnswer: -0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 25 + 2. Let s(a) be the third derivative of -1\/12*a**5 + 0 + 0*a + 0*a**v + 3*a**2 - 1\/24*a**4. Find the second derivative of s(m) wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {x: 3, i: 5, j: 1, e: 6, d: 1, h: 4}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*p + 23*p - 1238*p**5 - 31*p + (2*p + 3*p - 7*p)*(5*p**4 - p**4 - 5*p**4) + 3*p**5 - 4*p + 4*p.\nAnswer: -1233*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1672, -1673, -1674, -1675, -1676?\nAnswer: -1677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcmjjvca. What is prob of picking 1 a, 1 c, and 2 j?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -820*w + 13. Let f(b) = -205*b + 3. Determine -26*f(v) + 6*l(v).\nAnswer: 410*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 61. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/69 and 5\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*h + 8, -2*h = -v - 3*h + 2. Suppose -v*n = -75 - 605. Suppose 4*x - n - 34 = -4*g, -x - 3*g = -47. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(90\/(-36))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006723 to 4 dps.\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 509.5?\nAnswer: 509.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 + -19191\/56. What is the common denominator of 376\/2068 - 496\/(-1386) and d?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*20*1\/8 - 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -4 + -25 + 19?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194.29 - -194. Let y = -0.29 - g. Suppose -3*m = 2*m. Which is the nearest to m? (a) -2 (b) y (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -131, -262, -391, -518, -643, -766?\n\"Answer: u**2 - 134*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41505 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 12 = -n. Let o be n\/(-24)*(-3)\/10. Let s = 4 + -5. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z*z*z**(3\/11)*z)**(1\/21)*(z**(-2\/21)\/z*z)\/z**(8\/11))**(-2\/31) assuming z is positive.\nAnswer: z**(8\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 j when two letters picked without replacement from rjjzbbjrrjjjbr?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147953.\nAnswer: 3, 23, 127, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 4*-58*2\/16. Suppose 22738 = 34*x - z*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(1\/4)*i)\/i)\/i)**(-14\/3)\/(i**11*i\/(i\/(i*((i\/i**(-20))\/i)\/i)*i)) assuming i is positive.\nAnswer: i**(-173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7\/5))**(-1\/24) assuming t is positive.\nAnswer: t**(7\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 + 17 + 8344*f - 8344*f to z*f + j*f**2 + b and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)\/(v*v**(-3\/5))*(v\/((((v*(v\/(v**6*v))\/v*v*v*v)\/v*v*v*v)\/v)\/v))\/(v\/(v**(2\/7)\/v)))**(-43) assuming v is positive.\nAnswer: v**(15222\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 0*x**2 + 65*x + 0 + 1\/3*x**3. Let p(h) = h + 40. What is p(v(s))?\nAnswer: 2*s + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3020, -3020, -3022, -3026, -3032, -3040?\nAnswer: -3050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - (-16868)\/9. Let s = -13064\/7 + z. Calculate the common denominator of 64\/6 - 2\/2 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*c + 0*c + 3*c)*(-76*c - 10*c**3 + 76*c + (-5*c + 5*c + 2*c)*(13*c**2 - 16*c**2 - 20*c**2)) as d*c**4 + i*c**2 + m*c + f*c**3 + n and give d.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -8. Let s = t + 6. What is the closest to 2 in s, -2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*i**3 + 80\/7*i - 192\/7 + 16\/7*i**2.\nAnswer: -4*(i - 6)*(i - 2)*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 - 14*h**2 + 60*h**2 - 2*h**3.\nAnswer: -h**3 + 46*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15116 times 1?\nAnswer: 15116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmloozol. Give prob of sequence zmm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2210)\/39)\/((-3599997)\/1800000 - -2). What is v rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 359 + 0*j**2 - 9*j + 374. Let u be w(-10). Solve 2*b + u*m = -0*b - 2, -2*b - 2 = -m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/14*-1 + (-720)\/(-1260)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 0 + 0. Let k(v) be the first derivative of 0*v - 15 - 3\/2*v**2. Determine n(k(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 2:45 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5688 - -2210. Let f = h + 236529\/68. What is the common denominator of f and 23\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 0 + 0*b + 3*b**2 - 1\/12*b**4 + 0*b**3. Let d(f) = f**2. Calculate d(v(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -901 + 903. What is the third biggest value in -0.01, p, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h + 2. Let p(i) = -i**2 + 16*i + 8. Let b be p(17). Let k be (1 + 0)*b*(-1)\/9. Solve -2*n - k = h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) + sqrt(5)*2) + (sqrt(20)\/sqrt(4) + sqrt(5))**2*5 - -6*sqrt(20)\/(1*sqrt(36)).\nAnswer: 7*sqrt(5)\/3 + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.15, 0.5, 0.1, -1\/13, -3, 1.\nAnswer: -3, -1\/13, 0.1, 0.5, 1, 22.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Let r = 5.0000032 - c. What is r rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let h(g) = -60*g. Let m = -19129 - -19128. Determine m*h(r) + 3*z(r).\nAnswer: 57*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4968.685ml to litres.\nAnswer: 4.968685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-2 + 5 - 1)*(-3*k + 2*k**3 + 3*k + (0 + 2*k + 0)*(3*k**2 - 4*k**2 + 0*k**2) - k**3 + 0*k**3 + 2*k**3 - 2*k**3 + k**3 + 3*k**3).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -0*y + y. Suppose y*w = -3*u + 1836, 4*u = w + u - 616. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98336288629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c - c - c + (-2 - 2 + 0)*(-3 + 3 - 2*c) + 0*c - c + 8*c.\nAnswer: 17*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29 and 6153?\nAnswer: 178437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 60 + 41 - 18*t + t - 5*t to s*t + i and give i.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*p + 4, -3*p = 2*b + 3*b + 3. Solve b = 3*g - 5*n + 40, 10*g - 5*g - 5*n = -50 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6129080.\nAnswer: 2, 5, 73, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 50*y - 48. Let j be l(-23). Let t = j - -363. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*c = 2*c - 0*c. Let 0 + c*t - 1\/5*t**2 = 0. What is t?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44326 (base 10) in base 3?\nAnswer: 2020210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/7, 43?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -50.\nAnswer: -38\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - k + 1. Suppose -3*q + 0*q - 3*z - 36 = 0, -q - 3*z - 14 = 0. Let d(t) = -17*t**2 + 3*t - 3. What is q*o(f) - 4*d(f)?\nAnswer: 2*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 518451275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -16612?\nAnswer: 16608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - sqrt(88)*-1)\/sqrt(4) + sqrt(154)\/(sqrt(21)\/sqrt(3)))\/(-5*sqrt(11)*1 + (sqrt(198) - sqrt(22))\/sqrt(2)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 117*u - 122*u + 1495. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 3*u - 1. Let n be q(-3). Is -2 - (1264\/(-3) - n\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 1549*w + 5693. Does 75 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13984 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*s = 34962 - 8912 - 5507 + 39229 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -1) + 786 + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -2*sqrt(117)*-1)\/((sqrt(576) - 1*sqrt(576)) + sqrt(576)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from yynsrbyyblsb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/205 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, v: 2, j: 1, i: 3, k: 1, x: 3}. What is prob of picking 1 i, 1 z, and 1 x?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 q when two letters picked without replacement from {q: 6, t: 1, g: 5, d: 2, j: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*r - 345, -5*g + 8*r + 1725 = 9*r. Suppose -o = -342 - g. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 3*i**2 - 2*i**2)*((1 + 4 + 1)*(1 - 2 + 0) - 3 - 1 + 3)*(-3*i - i + 6*i)*(-11 + 5*i - 1 - 3*i).\nAnswer: 56*i**4 - 336*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from mdhda?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u - 8554417 + 8548805 = 0 for u.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(384)*1 + sqrt(384))\/((sqrt(3) - (sqrt(3) - sqrt(24)\/sqrt(8)))*-2).\nAnswer: -8*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o**2 + 0*o)*(3*o**2 - 4*o**2 - o**2) + (0 + o**3 + 0)*(-25 + 12*o + 25).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4183?\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -24?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**3 - 44*f**2 + 8*f - 12. Calculate n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4269.026 kilometers?\nAnswer: 4269026000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -48 - 64222?\nAnswer: -6426a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -2*h**5\/5 + 117*h**4\/2 - 7186*h**3\/3 + 9975*h**2 - 12996*h + 1311. Factor l(o).\nAnswer: -2*(o - 57)**2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*b**3 - 1020482*b**2 + 111870837*b wrt b?\nAnswer: -90*b - 2040964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 417044929 to the power of 1\/3, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - (1 - 5) - 43) + 42?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(-58)*24\/1416?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:09 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010010 - 11010101000?\nAnswer: -11001010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 176428 divided by -28\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2180.79.\nAnswer: 2180.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 >= 576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1, 2.1, -2\/335 in increasing order.\nAnswer: -1\/2, -2\/335, 1, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15538 - 3587. Is 18 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (827 + 28\/(-7))*1.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q + 3. Let b be z(-6). Let l = -26 - b. Suppose -3*g + 502 = 4*y, -2*y - 2*g - 616 = -l*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530360488?\nAnswer: 2, 7, 877, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -213\nAnswer: 1\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**5 + 14*n**4 - 4*n**3 + 33*n**2 + 65.\nAnswer: 240*n**2 + 336*n - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267 + (-5 - (5 + -9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 - 34*h**2 - 15*h**5 - 300 - 115*h**3 + 597 + 4*h**2 - 80*h**4 = 0. What is h?\nAnswer: -3, -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104.6 + 1430157\nAnswer: 1430052.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 20 = 0, -5*f + 0*f - c = -21. Suppose -f*d - 68 = 142. Let m = -25 - d. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177 - -4. Let c = s + -203. Which is greater: c or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9672240 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -25, -16, 7, 50, 119, 220?\n\"Answer: u**3 - 2*u**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -74*j**2 - 36*j - 1. Let b be h(-21). Let v = -3634231\/114 - b. What is the common denominator of -127\/12 and v?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 + 7485.70447?\nAnswer: 7353.70447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6476221?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/5*(-1)\/2. Let x(l) be the first derivative of 2*l**3 - 4*l**3 + l**3 - j. Let a(g) = -2*g**2. Give x(a(r)).\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*a + 4 = 0, 3 = 3*f + 3*a - 0. Let t be ((-1)\/f)\/(1\/(-2)). Calculate the greatest common divisor of 3 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/14, -1\/1105, 19?\nAnswer: -1\/1105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 10*d - 12 = 0, 3*h = -d + 27089. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 5*g + 2. Let z be 2\/(-4) - (-13)\/(-2). Let d = z + 13. List the prime factors of n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - (0 + 2)) + 1. Suppose 0 = 2*v + 1 + 9. Let y = 10 - 7. Sort y, v, k in descending order.\nAnswer: k, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1 + 2\/4). Suppose 5*z = -5*o, 3*z + 0 = -b*o - 2. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8804*j**3 + 8780*j**3 - 17578*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - 2*m**2 + 3*m + 3*m + 1 + 1. Let z = 391 + -395. What is b(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 116, 197, 338, 545, 824, 1181, 1622?\n\"Answer: u**3 + 24*u**2 + 2*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 11*j**2 - 3. Let p be c(11). Let f = p - -2. Let u be (6 - 3)*(2 + f). Solve -5 = u*t - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 43. Determine a(-8).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 23, -0.07, -4\/57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5925684 is divided by 1857?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q**3 - 13*q**3 - 193 + 386 - 120*q**2 - 124*q - 193 = 0 for q.\nAnswer: -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-3)\/383*(-51)\/306). Which is greater: h or 765?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89342 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -299 from 25.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -5. Let n(d) = d**2 - 2*d + 1. Let u be n(1). Suppose -x = 5*j - t*j - 13, -5*x - 2*j + 33 = u. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.24 + -0.04. Let t = 0.5 - n. Which is the third biggest value? (a) 1\/6 (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3907 * -155.757\nAnswer: 608542.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*s - 21*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 10. Determine z(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 10*k**2 - 11*k + 10. Let t be b(5). Let r = 655 - t. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2944 divided by 736\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + -85*37\/(-740). Sort -5\/737, 0.1, z in increasing order.\nAnswer: -5\/737, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**3 - w + w + (-w**2 + 0*w**2 + 0*w**2)*(0*w + 2*w - 3*w) + (2*w**2 - 3*w**2 + 0*w**2)*(-3 - w + 3))*(0*w**2 - 2*w**2 + 0*w**2).\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 245218?\nAnswer: 3\/245218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3036492 millilitres in litres?\nAnswer: 0.0003036492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/7 and -35\/408326946.\nAnswer: 2858288622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 146401, 292861, 439343, 585853, 732397?\n\"Answer: a**3 + 5*a**2 + 146438*a - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 10*t + 2*t**2 + 15 - 13 + t**2 as l*t + p*t**2 + r and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -2\/13, 4, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 5*t - 71 = 0, -2*r + 22 = -146862*t + 146865*t for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7965 - -7960. Which is the closest to 2? (a) v (b) 2 (c) -9\/5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -11\/527?\nAnswer: -11\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(-2*q + 1 - 1) - 4*q - q + 2*q - 2*q + 7*q - 3*q + 20*q - 34 + 58 - 27.\nAnswer: 15*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1)\/(1\/9). Let q = 13 - 22. Let v be (10\/6 - 2)*q. What is the highest common factor of v and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**2. Let j(h) = 2*h**2 - 2*h - 2. Let w(u) = 10*u**2 - 11*u - 11. Let a = 43 - 41. Let l(g) = a*w(g) - 11*j(g). Give t(l(z)).\nAnswer: 32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjhowohjvvjvojvihvo. Give prob of sequence hwjo.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*i)*((-2*i + 6 - 6)*(0 - 4 - 5) + (3 - 4 + 2)*(-3 + 3 - 2*i) + 3*i - i - 3*i) to r*i + y + u*i**2 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*w + 3*w + 52, 6 = -3*w. Calculate the remainder when (0 + z)*56\/10 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -3 + 0*m + 10\/3*m**3 + 0*m**2. Let k(p) = -3*p**2. Let j(o) = 5*i(o) + 16*k(o). Let a(t) = 2*t**2. Calculate j(a(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 267836429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(4)*3)\/sqrt(5).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 971419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 5 (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 greater than or equal to -977169\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1126 or -6.2?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1720 and 61\/2150.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + (-186)\/18. Let a = o + 24. What is the remainder when a is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4*(1 + sqrt(304) + 1*sqrt(304) - (sqrt(304)*2 + -3)) + 1))**2.\nAnswer: 10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 3*a**2 + 6*a**2 + (4 - 3 + 10)*(-6*a**2 + 0*a**2 + 4*a**2) as b + i*a + c*a**2 and give c.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*p + 1122 = 831 - 6488 - 12886 for p.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -149\/2 - -1479\/20. Let f = c + 4\/5. Find x, given that -1\/4*x**2 + 1\/2 + f*x = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*u + 15. Let p(c) = 22*c - 3*c**3 + u + 0 + 5*c**3 - 3*c**3 + 8*c**2. What is the tens digit of p(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 808 divided by -3234\nAnswer: -404\/1617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5345819.\nAnswer: 5345819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -37, 0.1, 2\/131, -4448?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77716271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Is 1268108633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least as big as 47\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**2))\/p)\/((p*p\/((p*p**7)\/p))\/p))\/(p**5*p**4) assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 912 and 52032?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, t: 1, g: 6, r: 5}. What is prob of sequence rx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/28 and -123\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 480, 479, 478, 477, 476?\n\"Answer: -y + 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 20 + (1 - 1). Let y be (-2 - 2)*(-6)\/8. Suppose -y*o = -4*o + 7. What is the highest common factor of o and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, h: 12}. Give prob of sequence hhh.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 126\/19, 0.073, -0.0391 in decreasing order.\nAnswer: 126\/19, 0.073, -0.0391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 7*t + 10. Let n be x(6). Suppose 24 = 2*o + n*o. Solve -14 = -3*y - 0*w - 4*w, 0 = o*y + 4*w - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3540?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -234.33 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1489.806 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1)*(-2 - -1). Let u be -5*-3*(-2)\/(-15). Let p be ((-1)\/6)\/(u\/4). Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 25285*z**2\/2.\nAnswer: -z**2*(z - 25285)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.7 + 149.7. Let p = l + -131.0952. Let z = p + 0.1. Round z to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*s + 324, 0*s - 540 = -5*t + 4*s. Let y(o) = -2138*o + 10870. Let f be y(5). What is the greatest common divisor of t and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/93157 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + 0 + sqrt(117) - (sqrt(117) - (sqrt(117) + (sqrt(117) - 2*sqrt(117)) + sqrt(117))*6)) + -4)*-1)**2*1*4.\nAnswer: -1296*sqrt(13) + 17172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67043 = -326*q + 519937 + 34150. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(0 - (-2)\/(-1)). Let o = -0.6 + 0.3. Let x = 538 - 537.6. Which is the closest to p? (a) o (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -15. Let w be (h - (-9 - -4))\/(3\/2). Let l = 12 - w. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -5*q. Let z = 30 + -31. What is the smallest common multiple of 1 and 8 + 0\/q + z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/6 + (-1)\/3. Suppose 3*l = -5*i + 25, -5*l + 0*l = -q*i - 17. Solve -5*s = -5 - l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j - 142. What is the remainder when 31 is divided by m(38)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8981580 divided by -5.\nAnswer: -1796316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 298378571 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -18*v + 28. Let k be (-1)\/((-1 + v)*(-3)\/12). Solve -5*s - 5 = 0, -k*d + 4*s = 3*s - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.7 and -88?\nAnswer: 853.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((84\/110)\/(-3))\/(10128\/2954) and 5\/2288?\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z - 2*z - 19. Let u be ((-6)\/4)\/((-6)\/(-8)). What is the closest to 0.1 in -1\/8, u, z?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 4\/3*c**3 - 7*c - 4*c**2 + 0 - 1\/6*c**4. Factor a(w).\nAnswer: -2*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/11*d**3 + 0*d - 1\/11*d**2 + 0.\nAnswer: -d**2*(d + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.617 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/729 and 46\/945?\nAnswer: 25515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + (sqrt(242) + 0 - sqrt(242))**2)*-3*3 + (5 + 2*(0 + sqrt(242) - sqrt(242)))**2)*-6*3.\nAnswer: -450 + 1782*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 21*i**2 + 67*i + 881. Calculate l(-20).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let i(s) = -s. Let k = 16 + -17. Let o(g) = -g. Let a(t) = k*i(t) + 2*o(t). Calculate a(b(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 3*h**2 + 6*h**2 + (11*h**2 + 16*h**2 - 8*h**2)*(-6 + 2 + 2)*(3 - 7 + 14) + h**2 - 5*h**2 + 3*h**2 in the form b + t*h + d*h**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxixxiiiijiyxhii. Give prob of picking 1 y, 1 j, and 1 b.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*u = -65, -r + 0*r + u + 25 = 0. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.0141, -0.08636, 5, -2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-24))\/((-112)\/144)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 20*n**2 + 103*n - 30. Let o be s(11). Let v = -77\/260 + 9\/20. What is the third biggest value in o, v, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/20 + d**4\/6 + d**3\/2 - d**2 - 2*d. Suppose -a + 2*a = -2. Let s be (-18)\/15*5\/a. What is g(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + c + 179 = 0, c = 4*c + 9. Calculate the remainder when z is divided by (-21762)\/(-1860) - 6\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17595)\/1863 + (-92)\/(-207).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.215 plus -44240.88672?\nAnswer: -44242.10172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0.164, -2, -1, 0.4, 1, -20 in decreasing order.\nAnswer: 17, 1, 0.4, 0.164, -1, -2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -415*n**2*p**3 + 75*n**2*p - 7*n*p**2 - 2*p**3 wrt p?\nAnswer: -2490*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3303979?\nAnswer: -4\/3303979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 + 7*x**2 - 5*x + 57. Let q(w) = 2*w**3 - 4*w**2 + 3*w - 29. Calculate -3*h(k) - 5*q(k).\nAnswer: -k**3 - k**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/13, -28, -1\/11, 387?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjvpprpkrrrprdrr. What is prob of sequence rvdp?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**3 - 4. Let k(q) = q. Determine n(k(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -25. Suppose 8 = s*b + 2. Solve -b = -n - 0*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 41 = 2*v - 3*v, 0 = -2*w - v + 73. Let x = w - 6. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1969.\nAnswer: 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 4 (c) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 + 18497?\nAnswer: 18497.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 73.527\nAnswer: -29.4108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149513 and 2281279.\nAnswer: 70719649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -8. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 0. Let n = -298 + 895\/3. What is the smallest value in y, n, 3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0, -264, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1041, 3, -4, 0, -33 in ascending order.\nAnswer: -1041, -33, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 14. What is the units digit of (-14)\/77 - 453\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-26) - 41\/((-46371)\/(-36018)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1798, -3565, -5342, -7135, -8950, -10793?\n\"Answer: -w**3 + w**2 - 1763*w - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g**4 - 1\/120*g**5 + 0*g**3 + 0 - 9*g**2 + 0*g. Factor d(s).\nAnswer: -s**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -995 and -109.8.\nAnswer: 109251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 660659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5087 + -5075. Let f(w) = -2*w**2 + 10*w. Let u(q) = -q + 1. Let h(d) = 7*d - 6. Let k(s) = h(s) + 6*u(s). Give a*k(t) - f(t).\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 3873 - 240*j**2 + 1941 + 1933 + j**3 as v*j + q + l*j**2 + u*j**3 and give l.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 218 = 2*m, -3*n = 2*n - 5*m + 225. Let k be (n\/6 - -2)*-3. Suppose 2*q = 2*v + 11 + 5, -3*q - v + k = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + 27. Let y = 14 + a. Let o = y + -87.999987. What is o rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, -1407, -3815, -7201, -11565?\nAnswer: -16907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z**3 - 3*z**2 - 15*z + 15. Let c(p) = 9*p**3 - 7*p**2 - 29*p + 31. Let u(k) = 6*c(k) - 11*o(k). Is u(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1\/2 (c) 20 (d) 1\/5 (e) -2066\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-5))\/(-1)*(-180)\/27\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409894.8t to micrograms.\nAnswer: 409894800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 57*f + 1295. Calculate the remainder when 50 is divided by a(74).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.173442 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 + 1.3. What is the second smallest value in c, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**5 + 1257812*h**4 + 2*h**3 - 12*h**2 + 13*h - 306931 wrt h.\nAnswer: -300*h**2 + 30187488*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14 - 1 = 3*a, 0 = -a - 5. Suppose -d*x = -2*x - 55. Calculate the lowest common multiple of x and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -492 - -496. What is the second biggest value in 13, -6, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*((-23490)\/2673)\/145?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-16)*-2*-2. Solve 4*x = -11 - n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3688388 is divided by 3166.\nAnswer: 3164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3.1. Let s = -8 + 13. Let f be -2*((-10)\/4 + 2). What is the closest to f in y, s, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29228199509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 281879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b053 - -26b?\nAnswer: b2c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 412*t - 415*t + 780. What is the units digit of 3\/(((-39)\/t)\/((-94)\/8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31927\/12 + 2653. What is the common denominator of k and -5 - (-10 - (-237)\/96)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/3)\/k*k\/k**12*k\/(((k*k**(2\/13))\/k*k)\/k)*k*k**(1\/13) assuming k is positive.\nAnswer: k**(-419\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 41*q\/4 - 39\/2.\nAnswer: -(q + 2)*(q + 39)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-14))\/((-54)\/756)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 + 2*z**2 + 6*z. Let j be o(-2). Solve -b - 5*u = 25, 13 = 4*b - 5*u - j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0 + 0)*(-14 - 42 - 30 + 19).\nAnswer: 134*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -28207\nAnswer: -28207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20053421*v**3 - 20918034 wrt v?\nAnswer: -60160263*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 92 = -5*h, -3*h - 10 = q + 25. Let x = q - -176. Let a = -86 + x. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*x**2 - 56*x**2 + 77*x**2 + 14*x**4 wrt x.\nAnswer: 336*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -9)*(0 - (2 + 1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*k + 57, k = -5*r - 3*k + 79. Suppose 140 - r = -5*t. Let w be t\/(-2 + -3) - 3. Solve 4*n - 20 = 2*g, -w*g = 3*g + 3*n + 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -30*z**3 + 5*z**2 - 17*z - 40. Calculate y(-2).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320.3317 rounded to the nearest 10?\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 12922 = -4095. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50434310 (base 8) to base 7.\nAnswer: -156236146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w**3 + 3*w**2 + 4. Let b(q) = -23*q**3 + 5*q**2 + 7. Let k(x) = 3*b(x) - 5*c(x). What is the derivative of k(y) wrt y?\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1161 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 252 + -1006. Let l = c - -771. Suppose -150 = -4*n + n. What is the remainder when n is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 14. Let n be 1 - (d\/1 + -3). Suppose -38 = n*m - 43. Which is the closest to -0.1? (a) m (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-50)\/(-13) - 24\/(-156). Let w(p) = 33*p - 21. Let z(x) = -17*x + 11. Let r(m) = 6*w(m) + 11*z(m). What is the tens digit of r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from llddldldltqxh?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {e: 1, h: 2, z: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - -15160233?\nAnswer: 15160336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -3*((0 + sqrt(1584))*5*3 - sqrt(1584)*1*5*6))**2.\nAnswer: -1080*sqrt(11) + 3207601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2 + 49)*(-7 - 3*y**2 + 7).\nAnswer: -213*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1634564 and 321110?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (0 - -4 - (-9 - (-7 - -1))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 7 + -18 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -51*q + 4. What are the prime factors of y(-1)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/19 - 6*w**2\/19 = 0. What is w?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -a - 12, 5*w - 2*a - 9 = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 4, h: 3, b: 2, n: 1, z: 3}. Give prob of sequence zhz.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(1\/11))**(1\/45))**(-3\/13))**14)**(-5\/7) assuming i is positive.\nAnswer: i**(8\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 253 - -9258?\nAnswer: 9500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 85?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2598, 10455, 23544, 41859, 65394, 94143?\n\"Answer: -y**3 + 2622*y**2 - 2*y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Suppose -3 = -q + i*b, -2*b + 5*b - 3 = -q. Suppose -3*m + 5*c - 3 = -5*m, -4*m = q*c + 1. Let k(h) = 5*h + 1. What is k(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199604977.\nAnswer: 11, 13, 1395839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*v + 5*v - 2415, 5*v - 25 = 0. Let n(c) = -800*c + c**2 + p*c. Let b(x) = -6*x + 5*x - 7*x. Give n(b(h)).\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**2 - 10*v - 5. Is h(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-2))\/((-40)\/16).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*t + 54 - 46 - 974*t in the form p*t + s and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:20 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 - 2279767567.58\nAnswer: -2279767567.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + t + t - 6, -5*i + t - 3 = 0. Suppose -6*x = -i*x. Solve -5*a + 7 + 8 = x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h\/((h\/h**(-1)*h)\/h))))**(-1\/27))**(4\/7) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 3\/7 (c) -1\/18291 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-1 - (0 + -1)). Let m(h) = -h**3 + 7*h**2 + 31*h - 11. Let b be m(10). Put b, t, 6 in decreasing order.\nAnswer: 6, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/3 - 24*g**3 + 22*g**2 + 140*g\/3 = 0 for g.\nAnswer: -1, 0, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(8)\/sqrt(4) + -1)**2.\nAnswer: -10*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 576795.101 rounded to the nearest one hundred?\nAnswer: 576800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5949363 is divided by 283300.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1977\/41517*56\/(-3)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 15*g + 33. Let o be n(8). Suppose -3*f + 4*z + 196 = -260, z = f - o. What are the prime factors of f?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + 2*r**2 - 5*r**2)*(-7*r + 4*r - 4*r).\nAnswer: 49*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*w**3 - 174*w**3 + 359*w**3.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*i - 50 = 0, i - 36 = 4*j - 2*i. Let k(g) = -g**2 - 11*g - 15. What is the units digit of k(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -320\/17 or 2\/10243?\nAnswer: -320\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.93 - 6. Let c = -0.03 + x. Let m = -31.122 + 28.122. What is the third smallest value in -2\/3, -0.5, c, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-105))\/((-57)\/684)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -2*o - 23. What is the greatest common divisor of o and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -3.1. Let a = -2.16 + -0.84. What is the closest to r in 2, a, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 65*n + 42. Let g(l) = -33*l - 20. Let m(s) = -5*g(s) - 2*i(s). What is the first derivative of m(t) wrt t?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 16, 14?\n\"Answer: -2*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3993)\/6)\/11*(0 + 2). Let j be b\/(-44) + 3\/(-4). Let u**j - 11*u + 19*u + u**2 = 0. Calculate u.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from {d: 1, c: 2, s: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*p = 1411, 0*w = 2*w + 2*p - 2846. Suppose -2*f - w = -5*d, -d + 242 + 45 = -2*f. List the prime factors of d.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = -21*x - 41 + 166 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1120 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 16*k + 20. Let z be y(17). Suppose -z*o = -9*o + 138. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -2.2. Let v = -0.19 - -0.09. Let d be (-4)\/(-6) + (-12)\/180. Which is the nearest to g? (a) d (b) v (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/20*(-1)\/14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 0, 4*f + 60 - 180 = n. Let j = n - -131. Solve 4*d + j = m - 0*m, -5 = 5*m - 5*d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28063\/6 + -4676. Let y(c) be the second derivative of w*c**3 + 16*c + 0 + 0*c**2. Let n(h) = -3*h**2. Calculate y(n(d)).\nAnswer: -21*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 25735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - 1099?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 831648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m + 3. Let b(s) = -s**3 + 3*s - 3. Let f be b(2). Let n(k) = 7*k - 4. Give f*u(c) - 4*n(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 3*a + 0*a)*(0*a + 2*a - a)*(-15 + 5 - 2).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 368 - 233. Calculate the highest common divisor of r and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + m + 6. Suppose 5*v + 2*h = v + 32, 0 = -v - h + 6. Suppose -15 = -3*d, -4*z - 2*d + v = -0*d. What is the units digit of w(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.58444 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 185329 to the power of 1\/2, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -3 + -2 - -75. Let d = p - 43. Let n be d\/2 - (-2)\/(-4). Solve -n = 5*i + 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110582 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -16*h - 15510. Let m = -797 - h. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/336*6\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/32467 - -64964\/97401. Factor 2\/9*c**4 + 10\/9*c - 2\/9*c**3 - 4\/9 - s*c**2.\nAnswer: 2*(c - 1)**3*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3 + 2 + 13*u + u**2 - 2*u. Let k be o(-11). Suppose 4*f = k*f + 2. Is f less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 20 = -4*u, -19*j = -18*j - 3*u - 16. Suppose 13*d + 4 = 9*d. Sort 6, d, j in ascending order.\nAnswer: d, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 8390 = 3*k. Suppose -2*m = 3*m - k. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*r**2 - 14 - 3*r**3 - 1 + 15.\nAnswer: -3*r**3 + 120*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/100*1\/(-3)*-4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 183836276.\nAnswer: 183836273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**1*b)\/b)\/b)**(3\/5)\/(b**1)**30)**(-5) assuming b is positive.\nAnswer: b**150","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 12*m**2 - 6*m - 11. Calculate p(14).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = s. Which is smaller: 4 or s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 22976.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264181?\nAnswer: 67, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2*-11534160\nAnswer: 23068320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1204 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 14*b + 3. Give f(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/101 - -196\/303. Let d = -4 + 2. Let z be -2 - 6\/8 - (5 + -8). What is the closest to t in -0.4, z, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g - 31*g = 85. Let z = g + 1. Solve -5*k = -b + 23, -k - z = k + 4*b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 1:40 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29694 and 1721664?\nAnswer: 173888064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -67*l + 6. What are the prime factors of m(-4)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3344 divided by -836\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gyyrrrgggggryrygg?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 44738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -13*q**2 - 47\/12*q**4 - 38*q + 0 + 0*q**3. Find the first derivative of z(l) wrt l.\nAnswer: -94*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -115.2 - -795.2. Let z = s - 607.2. What is z rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89154?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -408\/7 - 2\/7*i**3 + 814\/7*i - 404\/7*i**2.\nAnswer: -2*(i - 1)**2*(i + 204)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (86\/6)\/(2\/(-6)). Let m = 698 - 720. Let g = m - f. What is the highest common divisor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 + 24. Suppose -o*w + 27 = -3*d, -17 = d - 5*w + 2*w. Let z(s) = -s - 3. Calculate z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823825811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 152485369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680105 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42103 and -1?\nAnswer: 42103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*1 + 6 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13371.0865 to the nearest one hundred.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.162755, -0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -302 + 206. Let x be h\/15 + 2\/5. What is the units digit of 252\/8 + 9\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 2*f**4 + 2*f**3 + 37*f + 64*f - 2*f**2 - 4*f**3 to x*f**2 + r*f**4 + o + q*f + c*f**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**7\/175 - k**6\/12 - 21*k**5\/50 - 9*k**4\/20 + 18*k**3\/5 - 49*k**2. Factor f(v).\nAnswer: -2*(v + 3)**3*(3*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 447 - 190. What are the prime factors of a?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n - 108. Give u(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20110010012 (base 3) to base 13\nAnswer: 45a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:12 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 7*f - 9*f - 14, -z + 5*f + 24 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-70) - (-5)\/(175\/8). What is the second biggest value in -2, p, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5534, -5539, -5546, -5555, -5566, -5579, -5594?\n\"Answer: -k**2 - 2*k - 5531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 172 = -p - 4*k, -k = -5*p + 860. Let o = 123230\/171 - 16956\/19. Let i = p + o. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Let d be (8\/(-14))\/((-20)\/70). Suppose 111 = l - d*f + 37, o*f = -l + 46. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -158\/7 in -3, -0.1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 12:38 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**2 + 30*c + 12. Calculate r(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {w: 2, i: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -1019?\nAnswer: 132.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*c = -57, c + 4*c = -q + 56. What is the remainder when 2866 is divided by q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z - 29*z = -21. Suppose -8*k + 2*k = -1578. Let c = 431 - k. Calculate the greatest common divisor of c and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {f: 2, i: 1, z: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3320 - -4125. Do 803 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340\/(-170)*46\/14*(-7)\/6?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 12) in base 8?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155966 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31375?\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.820279ug in nanograms?\nAnswer: 1820.279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 15*a + 7. Give d(-6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 278 - 263. What is the lowest common multiple of m and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 442 - 2207\/5. Let i = -0.05 - -0.35. Let s = -0.2 + i. Which is the second biggest value? (a) -0.4 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:53 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153945894?\nAnswer: 2, 3, 3643, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -249 and -0.038?\nAnswer: 248.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*r**4 + 0*r**4 + 4*r**2 - 3*r**2 - 5 + 4*r**3 + 3*r**3 + 9 as i*r**4 + h*r**3 + y*r + g + a*r**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 4*n**2 + 5*n**2 - 5*n**2 + 881 - 218.\nAnswer: -n**2 + 663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 12:03 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*u - 2 + 4 - 3.\nAnswer: 54*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104*x - 35 - 55*x - 55*x)*((0*x - x + 0*x)*(1 - 1 - x) + x**2 + 0*x + 0*x + x - 3*x - x**2 - 3*x**2)*(2*x - x + x).\nAnswer: 24*x**4 + 164*x**3 + 140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64272 divided by -25.\nAnswer: 64272\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 117, 232, 347, 462, 577?\n\"Answer: 115*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 6*w + 0*w - 9*w - w. Let g(a) = -1326*a**2. Give p(g(o)).\nAnswer: 6630*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114605 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 21. Let l(d) = 4*d + 21. Give 5*f(i) + 6*l(i).\nAnswer: -i + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 192\/(-72)*(-10)\/160*-8*(-3)\/332?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27525506 - 8752.\nAnswer: -8752.27525506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from rsrrsrasrrssssrsssss.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 237\/15 + (22\/10 - 2). Solve -14*a = -100 + t for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (0 - -1))\/(-3)*-1. Suppose -3*s + 80 + 136 = o. Calculate the greatest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 15. Let p(z) = 2*z + 14. Let v be p(m). Solve 0 = 2*x + 4*j + 4, v*x + 2*j + 0*j + 6 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 79.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -11 + (-4 - -11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 2 - 6. Suppose p*n + 3 = 3*s, -4*s + 31 + 4 = 5*n. Solve 0 = -o - 1 + n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 6 + -3 + -3. Suppose 4*s + 3*p + 47 = 0, 4*s - 2*s + 31 = -a*p. Which is bigger: s or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 34614*d - 36366*d.\nAnswer: -1752*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -0.1, -0.4, -0.009, -3?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r - 310. Calculate d(21).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/35)\/((-8)\/(-56)) - 3. Which is the closest to -1? (a) i (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186753.\nAnswer: 3, 7, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.9 + -0.1. Let w = b + 0. Let v = -2.8 + 2.5. What is the closest to w in 1, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 3009 = -3063. Suppose 4*d + 4*l + 18 - 66 = 0, -4*d - 2*l + 42 = 0. What is the greatest common factor of d and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 58712020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59940 and 28687284?\nAnswer: 143436420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -20, -1, -5 in decreasing order.\nAnswer: 1\/4, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 7 + 6. Let h(p) = 2*p**3 - 13 - 5*p**3 - 13*p - 15*p**2 + p**3 - 5*p**3. Let b(c) = -3*c**3 - 7*c**2 - 6*c - 6. Calculate k*b(n) - 6*h(n).\nAnswer: 3*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**5\/u**4*(u\/(u\/((u\/(u*u*u**(1\/3)*u*u))\/u)))**(-1\/23) assuming u is positive.\nAnswer: u**(82\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p - 1. Let g(h) = 5*h**2 - 3*h**2 + 118 - 118. Calculate g(f(b)).\nAnswer: 98*b**2 + 28*b + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6540, 13084, 19640, 26214, 32812, 39440, 46104, 52810?\nAnswer: 59564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Let h(f) = 1 - 3*f - 3 - f. Let p be h(q). What is the highest common factor of p and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 471802, 471775, 471748?\n\"Answer: -27*i + 471829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-16) - (-62)\/(-4) - 0. Let i be ((-9400)\/s)\/((-1716)\/855 - -2). Round i to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0523 times 0.5273\nAnswer: -0.02757779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, -5, -329, 106 in ascending order.\nAnswer: -329, -5, -3, -0.1, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**3 - 17*z**2 + 5*z - 56. Let j be t(6). Sort 5, 4, -3, j.\nAnswer: -3, 4, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1613? (a) -0.3 (b) -2 (c) 1\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8783 + 17567\/2. Which is the third biggest value? (a) -2\/5 (b) n (c) -5 (d) 3 (e) 1\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = p + 4*l, 4*p - 4*l + 0 - 16 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + y**2 - 2*y - 6*y. Let i = 56 + -51. Let g be n(i). Which is the closest to g? (a) -0.4 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2682728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*s + 7 - 7.\nAnswer: -141*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l - 4*l**3 + 6*l**3 + 2*l as s*l + b*l**3 + x*l**2 + y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t + 1)*(-5*t**3 + t**3 - 6*t**3) + (1 - 1 - 1)*(1 - 1 + 2*t**4) - t**4 - 4*t**4 + t**4 + 4*t**4 + 3*t**4 - 4*t**4 - t**2 + t**2 + t**4.\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11045, 11044, 11045, 11048, 11053, 11060?\n\"Answer: n**2 - 4*n + 11048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-85)\/(-34) - 7\/(-2) - (-4 + 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 6 in decreasing order.\nAnswer: 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 - 58 = -5*d. Suppose -50 = -5*f + 4*b, 0 = -3*f + 2*b + 15 + 15. What is the highest common divisor of d and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(6) + 4)*3)**2.\nAnswer: 72*sqrt(5) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 957.104l to millilitres.\nAnswer: 957104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from qfrwqvvffrrrrrqw.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 1 + -4 + 1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 33*y**2 - 36*y - 62. Let o be r(-34). Suppose -749*x + 746*x + o = 0. Solve -3*w + 5 = x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 30 = -5*d, -453*d + 449*d + 21 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/464008 and -43\/2552044.\nAnswer: 5104088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -4\/51 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/11 and 10\/160*93\/6.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3812741mm in meters?\nAnswer: 0.0003812741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q**3 - q + 1. Let z be 1\/(-9 - -6 - -4). What is a(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 0 + 2 + 2*k - 2.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ror when three letters picked without replacement from {h: 2, o: 7, t: 1, r: 6, c: 2}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 969056 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*d = 0. Let a = d - -12. Suppose 0 = -5*y + 3 + a. Solve 3*s = 6*s - y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, -6, -1270, 3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 162 = -44*i. 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: Expand (-15*w - 21*w + 12*w)*(-1 + 1 + 2*w**3).\nAnswer: -48*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 268861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/32 and -25\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14562 is divided by 4749.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 18*b**2 + 12*b - 21. Suppose 35 = 5*u - 55. What is the units digit of v(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + v**3 - 6*v**3)*(0*v**2 + 17*v**2 - 4*v**2).\nAnswer: -52*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/1 + 25*4\/20. Let w be (-7)\/((g\/2)\/(90\/60)). Let a(j) = j**3 - 8*j**2 + 7*j + 5. Determine a(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 183038 and -3.\nAnswer: -549114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 18, t: 1}. Give prob of sequence hhhh.\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + 3*d + 1. Let a(m) = m**3 + 11*m**2 - 7*m - 3. Calculate -3*a(w) - 7*g(w).\nAnswer: -3*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 92, 90, 88, 86, 84?\n\"Answer: -2*r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11593246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 7 - d - d)*(2*d - 6*d - 7*d)*(-1 + 1 + 4)*(6*d - 6*d - 2*d**2) as v*d**4 + z + k*d**2 + b*d + w*d**3 and give w.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 5. Let v(g) = 2*g - g**2 - 2*g - 1. Give v(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78*b**3*k + 2*b**2*k + 77*b*k - 5*k + 11424 wrt b?\nAnswer: 234*b**2*k + 4*b*k + 77*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -720, -720, -718, -714, -708, -700, -690?\n\"Answer: g**2 - 3*g - 718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**3 - 19*q**3 - 7*q**3 + 0*q**3 + 53*q**3.\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 35\/78 (b) -0.1 (c) -3\/5 (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wipwwwiwoiwwywopooo. Give prob of picking 2 p and 1 y.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 8*d - 10. Let x be o(-6). Solve -k - 3 = 5*h, -x*k - 6 = -4*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 909*f + 4 + 2 - 5 to the form j*f + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0*l = -136. Let g be l\/96 + (3 - (-10)\/(-3)). Suppose 3*u = 4*j + 13, -5*j + u - 2 = 2*u. Do g and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -31\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, h: 12}. What is prob of sequence hyh?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4203\/2 + -2101. Let s(j) be the second derivative of h*j**2 - j + 0 + 0*j**4 + 0*j**3 - 2\/5*j**5. Differentiate s(l) wrt l.\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -164*f + 3. Suppose 152 = -2*b - 56. Let j = b + 103. Does 58 divide y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0786*573158.\nAnswer: -45050.2188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 277 + ((-12)\/6 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 878, 875, 872, 869, 866?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(630)\/(sqrt(10) - sqrt(160)) + sqrt(63) + (sqrt(441)*-1)\/sqrt(7) + sqrt(567)*-3 + 2.\nAnswer: -28*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100, 121, 138, 145, 136?\n\"Answer: -u**3 + 4*u**2 + 16*u + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 1370*v + 254826. What is u(-186)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((-7)\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 + 345*a**4 + 12084*a**3 + 90240*a**2 - 1245312*a + 1142640 = 0?\nAnswer: -46, -30, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 + p**2 + 25 - 28. Let l(h) = 0 + 3*h**2 + 2 + 3 + 0*h**2. Let f(u) = -3*l(u) - 5*w(u). Let b(k) = 10*k. Determine f(b(i)).\nAnswer: 100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19766.38 - 19939. What is k rounded to 0 dps?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a**2 - 3. Let u be t(2). Let j = u - -34. What are the prime factors of (-2052)\/j - (-18)\/117?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7994 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 1708*x + 0*x**3 + 1703*x + 18*x**3.\nAnswer: 19*x**3 - 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -2*u**3\/3 + 2*u**2 + u. Let n(z) = 7*z - 7. Let w(t) = 6*t - 6. Let v(k) = 5*n(k) - 6*w(k). Give -s(l) + 5*v(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.2. Suppose 0 = -n + 6*n. What is the closest to v in 2, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1648\/(-515)*(-1190)\/112?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -482 - -130. Let r = 256 - t. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364480685 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 7. Let u(l) = -183*l**2 + 16. Give u(h(q)).\nAnswer: -1647*q**2 + 7686*q - 8951","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1248, -1253, -1280, -1341, -1448, -1613, -1848?\nAnswer: -2165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -31 + -2 + 14 + 10\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -5. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 110 = 105. Suppose -2*a = s + 207. Let m = 216 + a. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mem when three letters picked without replacement from ummmeqeeeemqeeummm?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 15) to base 13\nAnswer: -58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 4, -201, -2, 2 in descending order.\nAnswer: 7, 4, 2, -1, -2, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188 + 2*c**2 - 3*c**2 + c**3 + 187 - 5*c to h*c**3 + r*c + i + f*c**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 2623. Let d(w) = 165*w + 4. What is d(x(i))?\nAnswer: 165*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140098132?\nAnswer: 2, 37, 467, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108546.\nAnswer: 2, 3, 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25896070.\nAnswer: 2, 5, 2589607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10914 + -10913. Solve -6*d = v + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*c - 921. Is c*(3 - (-3 - -5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72629584 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -14. Let q = w + 0. Suppose -q*d + 2*d + 31 = 2*r, 0 = r + 4*d - 13. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (9 + -5)) + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111262*c**2 - 877629.\nAnswer: -222524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 2*k + k**2 - 3*k + 5 + 0*k**2. Let i be (-1)\/(-1) - (-8)\/2. Calculate u(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20303 and 297909?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-7473)\/265*(-8)\/(-12))\/((-12)\/15))\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 5*g**2 - 4*g + 12. Suppose -33*a + 6 = -34*a. Let b be y(a). Suppose b = -4*x - l + 186, 4*l = -5*x - l + 225. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228125 is divided by 2921.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 104769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61861*i**2*w**3*z - 6*i**2*w**2*z + 2*i*w**2 + 2*i*w*z + 696*w**3*z wrt i.\nAnswer: 123722*w**3*z - 12*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.98 + -1.87. Let k = 17 + -17.11. Let l = k + o. What is the closest to l in -3, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-6*(2 + sqrt(468) + -2)*-1 + 1)*-5)**2.\nAnswer: 3600*sqrt(13) + 1684825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -722*v - 195. Let z = -81 + 67. Is i(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11143279 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. What is the closest to -2 in d, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(((-20)\/(-2335))\/(-4)). Let u = 10 - 6. Is i*(3 - u\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9667 + -0.0353. What is f rounded to one dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252*-43.01.\nAnswer: 10838.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290501983*g**3 + 2*g**2 - 181819*g - 135 wrt g.\nAnswer: -1743011898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -5*6\/10 + 73 and 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/7 (b) -1 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*u - 101, 69 = 2*u - 2*x + 3*x. Differentiate 442*y**4 - 60 - 453*y**4 + y - u wrt y.\nAnswer: -44*y**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5122624 and 41396.\nAnswer: 404687296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (16470\/2318 + -1*7*(-11)\/(-11))\/14?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 500921795 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 659897650 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-4)*-5*(-3)\/15. Suppose t*m + 1169996 = q - 0*q, 0 = -4*m - 3*q - 1560012. What is m rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, c: 3}. What is prob of picking 1 j and 1 c?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 7031*m - 3557334. Give t(-474).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -25*o**3 + 3*o**2 - 1. Let s be w(2). Let z be (s\/12)\/(3\/(-36)). Let n = z - 124. List the prime factors of n.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/3116547 and 23\/28.\nAnswer: 12466188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - -0.36. Let s = -1 - 4. Let y be (-18)\/(-12)*(-2)\/s. What is the nearest to r in 5, -0.3, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -585355, -585374, -585391, -585406, -585419, -585430, -585439?\nAnswer: -585446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/30)\/((-2)\/10). Solve 10*i**4 + 0*i**l - 3382*i**3 + 5*i**2 + 3357*i**3 + 10*i = 0 for i.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 260170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 - 12 = 0. Factor -1 - 66*s**2 + 1 - 93*s**3 + 14*s**4 + 5*s**h - 10*s**4.\nAnswer: 3*s**2*(s - 11)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102843, 411349, 925525, 1645371, 2570887, 3702073?\nAnswer: 5038929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (40 + (-20)\/(-5))*14?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**3 + 11*x**2 + 11*x + 9. Let s(c) = 4*c**3 - 6*c**2 - 6*c - 5. Suppose -5*g + g = j + 26, -2*j = -3*g - 3. Give j*h(i) - 11*s(i).\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122366, -247664, -372962, -498260?\nAnswer: -623558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(45\/4))\/((-4)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 14*p. Suppose 1366 = 10*r + 466. Let s(k) = -r - 3*k + 186 - 96. Give s(m(n)).\nAnswer: -9*n**2 - 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -19.6. Let w = -136 + 78. Let d = -286\/5 - w. Sort d, u, -1 in descending order.\nAnswer: d, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(20) + -1)*-6.\nAnswer: -18*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/sqrt(6)*-3)\/sqrt(2))**2 - ((sqrt(2268) - (5 + sqrt(2268))) + 1).\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.0724824418 and -1.29?\nAnswer: 0.7824824418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((9 - 6 - 8)*(o + o - 3*o) + 4 + 13*o - 4)*(2*o - 1 + 1)*(4 + 0 - 2) to the form d*o + u + l*o**2 and give l.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20195279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**6 + 54*w**3 - 29*w**2 + w.\nAnswer: 240*w**3 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let x be z(2). Is ((-7)\/x)\/((-13)\/2522) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/9)*w*w\/(w\/w**(-3))*w*(w*w*w*w**(-5))**(42\/11) assuming w is positive.\nAnswer: w**(-943\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/11, -67, -433 in increasing order.\nAnswer: -433, -67, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 798492 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - 28 + 3*c - 30.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 51*h - 14. Suppose 0 = 3*k - 41 + 23. List the prime factors of f(k).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v + 448 = -278 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 != -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -117717 (base 9) to base 2\nAnswer: -10001011010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a + 109. Let b be x(6). Solve 29*i - 29 + b = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 25 = -2*b, -5*t + 12 = -3*b - 13 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13570 and 742810.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 23*r + 910 = -8*r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1240583 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 54 = -6*d. Let y = -8828 - -8954. Calculate the smallest common multiple of d and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18095845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 7*n - 20 = -3*h - 30 - 33, 0 = 10*n + 55 - 5 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-52)\/(-624))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -28, -30, -32, -34?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3851*z = 3851*z + 3*c - 15, 360 = -10*z + 4*c for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 4*b**2 + 1440*b.\nAnswer: -b*(b - 36)*(b + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/48 in 0, -30, 0.05, -2.131?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 12*n + 116 = 0. Let g be 10\/((-10)\/n) + 1. Solve 6*s - g = -9*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/16)\/(2\/92). What is the greatest common divisor of 23 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) -2\/7693 (c) 1.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, g: 2, m: 2, u: 1, n: 1, k: 3}. What is prob of picking 2 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/(0 - -5) + -3337*82\/(-3854)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295109318027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2876661.295 rounded to the nearest one hundred?\nAnswer: -2876700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 113 = -5*g, 2*g - 3*h - 50 = -5*h. Suppose 23 = k - 5*i, 7*k - 3*i = 4*k + g. What is the highest common divisor of 15 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/12 + 3\/(-12). Which is the closest to 8? (a) 1\/8 (b) -0.5 (c) q (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 + 33*j**3.\nAnswer: j**3*(j + 132)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 18, e: 1}. What is prob of picking 3 u and 1 e?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1272 and 7\/1851.\nAnswer: 784824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*o + o. Is (-10870)\/(-35) - o\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 427*w - 384*w - 1296622. List the prime factors of w.\nAnswer: 2, 15077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/((-2)\/12). What is the tens digit of d\/3*42\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/63 and ((-90)\/27)\/(-5) + 2544\/(-2898).\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/3*15\/(-12). Let o(r) = 2*r - 6. Let k(z) = -z + 6. Let v(d) = -6*k(d) - 5*o(d). Is v(a) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/15, 47\/3, -1, -9?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 37.\nAnswer: -30\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 6. Let g(j) = -4*j**2 - 4. Let w(q) = 3*g(q) + 2*x(q). Let o(p) = 18*p**2. Determine w(o(d)).\nAnswer: -648*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39667 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151511, -302954, -454333, -605654, -756923, -908146?\nAnswer: -1059329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-2 - -4)*36\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, o: 2}. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - 1. Let l be (-3 - 0)*c\/(-57). Let m be (-8)\/(-42)*2\/(-4). Which is smaller: l or m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:49 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3116*t**3 - 3*t**2 + 14*t wrt t?\nAnswer: -18696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 18*q**2 + 19*q - 32. Determine o(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i + 32*i - 2*i)*(3*i - 4*i + 2*i) - 5*i**2 + 4*i**2 - i**2.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2268))**2 + -5.\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2438436.888 to the nearest 1000.\nAnswer: -2438000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/13, -307, 24, 0.6, 3?\nAnswer: -307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 5, p: 2, f: 1}. What is prob of picking 2 p, 1 f, and 1 d?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 - 74 = -32*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**3*m**2*t - l**3*m*t + 528431*l**2*m**2*t - 919*l**2*t + 61*m*t - 5 wrt m?\nAnswer: 18*l**3*t + 1056862*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*b + 2*w - 45, -5*b - 4*w = -120. Let t = 0 + b. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 530ed4 (base 15) to base 12\nAnswer: 13a7117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13 and 52.3.\nAnswer: -679.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.92 - 0.92. Let v = -259\/3 + 87. Which is the biggest value? (a) m (b) v (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83807, -83852, -83911, -83990, -84095, -84232?\nAnswer: -84407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93837232.\nAnswer: 2, 139, 42193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/18 - (-320)\/(-144). Let v(r) = -r**2 + 10*r + 7. Let z be v(11). Put z, o, -1 in increasing order.\nAnswer: z, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75812 divided by -44.\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 2. Suppose 5 = -c + 1, -k - 3*c - 11 = 0. Suppose 0 = -p - k - 2. Sort -2, p, a in decreasing order.\nAnswer: -2, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -53.42 + 51. Let p = 2.52 + s. Let y = 1.7 - -13.3. Which is bigger: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**5 + r**5 - 4*r**5 - 2*r**4 + 2*r**5 + 2*r**4 + (-r**3 - 4*r**3 + 2*r**3)*(-2*r**2 - 3*r**2 + 7*r**2).\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218613*b**3 - 32 + 32.\nAnswer: -218613*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 4.7.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 14. Let f be p(-9). Suppose -3*h = -2 - f. Let b be h + (1*(-5 + 3))\/(-2). Solve -3*d = -4*d - b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 137, -3, 4.\nAnswer: -5, -3, 4, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13086 - 10221. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4*u = 3, 5066*t + 2*u = 5071*t + 3*u + 4*u - 30 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 2\/5, -27 in ascending order.\nAnswer: -27, -1\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cczcczzczzccc?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010010100011 (base 2) in base 8?\nAnswer: -152243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*p*t**3*y - 6585228*p*t*y**2 + 389790*t**3 + 3*t**2*y**2 - 37*t**2*y wrt p?\nAnswer: 18*t**3*y - 6585228*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20836108 is divided by 7842?\nAnswer: 7756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -2.4. Suppose 0 = 2*j - 1 + 9. What is the nearest to -1 in j, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -6*x**3 + 2*x**2 + 8. Let m(n) = -n**3 + 1. Suppose 11*l - 8 = -19. Suppose 20 = 3*i - 5*w - 24, -i + w = -12. Calculate i*m(g) + l*f(g).\nAnswer: -2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2581 + -1287. Calculate the remainder when g is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4, 0.2, -1, -5, 1373?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2*s + 2. Let v be w(-3). Let b(r) = 8*r**3 + 2*r**2 - 1. Let n be b(v). What is n rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -73, 0.4, -3\/19, 5, 0.0071?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 111 = 5. Suppose -8 = -31*h + o*h. Suppose 37 = 5*t + h*w + 1, 24 = 2*t + 4*w. Calculate the remainder when 5 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 12:30 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638*c**2 + 550 - 693 + 143 - 383*c**2.\nAnswer: -1021*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -96 - 86534?\nAnswer: -8661a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7*x - 65 = 0. Let p = x + -18. Let c(j) = -2*j - 9. Let h(b) = -3*b - 13. Calculate p*h(i) + 7*c(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 445, 6, 21 in increasing order.\nAnswer: -54, 6, 21, 445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3612)\/(-93912) + 94\/260?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1)*(2 - 2 + 2*o) + (-71*o**2 + 7*o**2 - 6*o**2)*(-88 - 85 + 131).\nAnswer: 2938*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 9, m: 2, q: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 13*v - 4*x = -44, -20 - 1 = -3*v + 3*x for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p**2 + 4*p + 2. Let c be a(4). Suppose 5*g - 18 = 3*d, c*g - 8 = -2*d + 12. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drd when three letters picked without replacement from {x: 1, d: 5, s: 2, r: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*sqrt(91)*-1 + 4*(1*sqrt(91) + sqrt(91)) + sqrt(91) + sqrt(91)))\/(-6*(sqrt(343)*2 + sqrt(343)) + -1*(sqrt(847) + -2*sqrt(847))).\nAnswer: 24*sqrt(13)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73cd11 (base 15) in base 16?\nAnswer: 54171d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 7*g**2 - 5*g + 15. Let f be u(6). Let k = -45 - f. Calculate the smallest common multiple of 24 and ((-1080)\/k)\/(-1*(-2)\/14).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -3)\/96*(32\/(-4))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**7\/105 - f**6\/120 + f**4\/24 + 7*f**3\/6 + 3*f**2. Find the second derivative of c(p) wrt p.\nAnswer: 24*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -60\/97 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - 3) + (-3 - -19). Suppose 4 = -3*a + q. Suppose -a*c + c + 8 = 0. Is c greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 57351?\nAnswer: 10\/57351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*m - 635 + 651, -q - m = 2. Let w(z) be the second derivative of -25\/12*z**4 + 1\/4*z**q - 25*z - 65\/6*z**3 - 35\/2*z**2 + 0. Factor w(y).\nAnswer: 5*(y - 7)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-5)\/(u*u*u**0)*(u*u**(1\/6)\/u)\/u**(-1))**(-1\/2))**(1\/14) assuming u is positive.\nAnswer: u**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3273632293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -n - 10*n. Let j(y) be the second derivative of 0*y**4 + n*y**3 + 6*y + 0 - 4\/5*y**5 + 2\/15*y**6 + 0*y**2. Determine b, given that j(b) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.169163632 rounded to 3 decimal places?\nAnswer: 0.169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3817836232 to the nearest integer?\nAnswer: 61789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 19 + j - 23 + 13*j**3 to i + o*j + l*j**3 + a*j**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1813 and 131535.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + z = -29, 14 = 3*x - 2*z - 11. Suppose -x = 22*p - 55. Solve p*q + q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6079 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 22610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.17819 times 2?\nAnswer: 166.35638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 5.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - a = -57, -x = -2*x - a + 9. Let l = x - 4. Suppose 2*v - 26 = l. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3347057, -3347055, -3347039, -3347003, -3346941, -3346847, -3346715, -3346539?\nAnswer: -3346313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Find the common denominator of 48\/935 and -49\/235.\nAnswer: 43945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/((26 + -10 - 17)*-2). Determine r, given that 12\/5*r**2 + 0*r + 0 + 6\/5*r**4 + 18\/5*r**m = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 3\/2 (c) 0.12 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 3*j**2 + 2*j + 4. Suppose -34 = 5*r - 9, -2*m + 44 = 2*r. Let h = 8 + m. Calculate the remainder when h is divided by t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2b0 + -2?\nAnswer: 2ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcr when three letters picked without replacement from {c: 5, r: 14}?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 192 = -3*f, -4*f + l = -2*f - 122. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + -2 - (-1 - 4). Suppose -3*l + f + 17 = 0, -4*f = 3*l + 13 - d. Solve -1 = l*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40318 and 3183.\nAnswer: 120954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.097 less than 104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 + 105*o - 543. Give w(-22).\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8 and 14489.\nAnswer: 11591.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 830\/(-83)*1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*b - 8, -4*b - 4*y + 6 = -2. Suppose b + 4 = -2*n. Let m(i) = 3*i - 2. Let x(l) = -16*l + 11. What is n*x(d) - 11*m(d)?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**3 - 6*c**2 + 2*c + 5. Suppose 2*n = -u + 22, 682*u = 5*n + 677*u - 10. Let x(d) = 10*d**3 + 9*d**2 - 3*d - 8. Determine n*m(p) + 5*x(p).\nAnswer: -6*p**3 - 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g. Let w(x) = -2*x**2 + 34334*x - 2. What is z(w(n))?\nAnswer: 18*n**2 - 309006*n + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 68295474 to the power of 1\/2, to the nearest integer?\nAnswer: 8264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 5) to base 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -b93?\nAnswer: -b90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 0)*(-6)\/54. Let b = -3 + 3. Put -0.1, j, 1, b in increasing order.\nAnswer: j, -0.1, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 1326 = -5198. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124.875 - 125. Let q = t + 0.12772. Round q to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 + -1709.3767915?\nAnswer: -1546.3767915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**5\/4 + 35*v**3\/6 - 15*v**2 - 32*v. What is l in z(l) = 0?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 122175 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1 + 0*r + 2 + r - 2. Let v be c(-7). What is the units digit of (76\/v)\/((-4)\/6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.78 - 1.78. Which is the nearest to -0.09? (a) -1 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 94*u - 1789. Calculate f(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:40 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 0, -3791 = -5*v + q - 3*q. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -309*i**2. Let z(c) = -3*c - 1561 + c + 1561. Determine z(q(u)).\nAnswer: 618*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-6))\/(-7))\/((-29)\/(-696))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*h + 24. Let v(d) be the third derivative of 7*d**h + 0 + 0*d + 2\/3*d**3 - 1\/8*d**4. Give v(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10686 + -9408. Calculate the highest common factor of 36 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*q - 2 = 0, 3*t + q - 2 = 5*q. Let k be (t\/(-28))\/(5\/30). Let v be ((-1)\/2)\/(5\/15). Sort v, k, 4 in ascending order.\nAnswer: v, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 40 = -92. Let z be 236\/(-6)*99\/b. Let y = z + -1. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -751, -1710, -3217, -5548, -8979, -13786, -20245, -28632?\n\"Answer: -46*g**3 + 2*g**2 - 643*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908864.\nAnswer: 2, 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(2*w**2 - 4 + 4) + 34*w**2 - 46 + 46 - 3*w**2 + 2*w**2 + 2*w**2.\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (1 - 2\/(-1)). Suppose x*h - 28 = 4*z, 2*h - z = 5*h - 1. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*i + 4*o = 19, 0 = 5*i + o - 26. Solve -k + 2*k = -i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 4, o: 2, j: 2}. Give prob of picking 1 y and 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 69*q - 28*q. Suppose 5*d - i - i = 28, 0 = 5*d + i - 16. Let a be 1*(5 - (2 + -2)). Put q, a, d in decreasing order.\nAnswer: a, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087573 to 6 dps.\nAnswer: 0.000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 - (1 + -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -448960\/7 or -64138?\nAnswer: -448960\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10135012, 20270054, 30405098, 40540144, 50675192?\nAnswer: 60810242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5947239437 to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -18 - 18. Let y(v) = v**3 + 5*v**2 - 10*v - 21. Let p be y(j). Solve -7 = 5*r + p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 468 in 2\/9, 3\/5, 9, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14091045 is divided by 2818206?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, u: 7}. What is prob of picking 1 d and 1 u?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 55*g**2 + 1254740*g - 698855040 = 0.\nAnswer: -256932\/11, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j. Let b(r) = 44*r**2 - 5. What is s(b(q))?\nAnswer: 176*q**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, t: 1, n: 1}. What is prob of picking 1 t and 3 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -58 (b) 2\/3 (c) -0.022 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -33641, -3 in ascending order.\nAnswer: -33641, -6, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -n - 0*n - 365, 5*n = 5*w - 445. Let f = w - 84. Suppose 0*q = 3*q + 2*t - 17, -t - 2 = -2*q. Solve -z + 3*v - f = -0*z, 0 = -q*v + 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 + 45*p - 126. Give c(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -90*t**3 + 12*t**2 - 6*t + 16. Let a(m) = 364*m**3 - 46*m**2 + 23*m - 63. What is 6*a(b) + 23*p(b)?\nAnswer: 114*b**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 - 2*v**2 - 4*v - 4. Let q be h(-2). What is the common denominator of (-1 - 755\/q)\/((-45)\/(-2)) and 11\/28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1983\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(180)*2)\/sqrt(9) + (sqrt(80)*-4 - 2*(sqrt(5) + -1 - sqrt(5))) + 5.\nAnswer: -12*sqrt(5) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5331 + 2*z - z - 4915 - 5328 + 20903 - 5329.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**3\/6 - 2*q**2 + 2*q. Let n be t(2). Let r be (-4*(n - -1))\/2. Solve -o - 5 = -r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3834520 (base 9) to base 8\nAnswer: 7761411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15341 by -667.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6*12\/(-234)*7\/(-4) and -8\/11?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f**3\/3 - 205. Let y(a) = -5 + 5 - 23*a**2. Calculate y(m(z)).\nAnswer: -92*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1579269874 and 1652.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 884 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 16*g**2 - 3*g + 2. Suppose 3*z - 9 = 2*o + 4, 4*o - 14 = -2*z. Let p be l(o). Factor -3*u - p*u**2 + 27 + 10*u**3 - 7*u**3 + 8*u + 4*u.\nAnswer: 3*(u - 3)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8072 = -1230*k - 4228 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 18*i**2 + 22*i - 1. Let m be r(17). Suppose 0 = -3*t - 81 + m. Solve -3 = k - t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - t - 12 = 0, 22*x - 17*x + 4*t = 37. What is the remainder when 6 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 3*l**2 + 5*l - 3. Let r(a) be the third derivative of a**5\/30 - a**4\/24 - 3*a**2. Let x be r(-1). What is s(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370229 - 39561?\nAnswer: -1409790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2\/3, -1, 66, -2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**2 + 9*o**2 - 17*o**2.\nAnswer: -23*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((z*z*z*(z\/(z*z\/(z\/z**(-1\/2))*z))\/z)\/z)\/z)\/z)\/z)**(1\/4))**(-13)\/(z*z*z**(5\/3)*z\/z**(-4\/7))**(-39) assuming z is positive.\nAnswer: z**(11895\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 2*d + 4, 20 = 5*r + d. Suppose 222 = r*w + 70. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*n + 1364 = 0, 4*c - 196 - 2522 = 5*n. Is c 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 {y: 6, e: 1, d: 2, k: 1, n: 2}. Give prob of sequence nn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*v - 5*v + 34*v to the form y + c*v and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 13) to base 11\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 20*p - 121. Factor p*g**3 + 4*g**3 + g**3 - 39*g - 55*g**2 + 56*g - 37*g.\nAnswer: 5*g*(g - 4)*(3*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 10:42 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -35. Suppose -4*g = -4*t - z, -3*g + 8*g + t = 35. Let o = -2 + g. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 100*l**2 - 2115*l - 427. What is v(69)?\nAnswer: 1229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let l(j) = -6 + 7*j**2 + 0 + 8 - 24*j**2. Calculate l(w(x)).\nAnswer: -17*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssssjsjsj. What is prob of picking 1 j and 3 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-252))\/(45276\/6174)?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1531 + 294 = 371*o - 30 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 - 3375166*q**4 - 2847926256372*q**3 + 17087652043000*q**2 - 22783572059168*q = 0. Calculate q.\nAnswer: -1687586, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.8 - 3. Let r = 0.33 + -15.33. Let j = r - -15.4. Which is the second biggest value? (a) j (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49165 - -49201. Suppose -m = m - 24. Calculate the least common multiple of m and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*h - 77*h - 3372. Suppose 12*b + h = 16*b. What are the prime factors of b?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 9. Let x(i) = 3 - 25*i - 4 + 9*i - p*i. Is x(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6211 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 658163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 464\/(-18)) + 600\/2700.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/108 and -121\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122 - -119) + (1 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 456442309 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 15 - 15 + 2*p - 3*p**2 + 0*p.\nAnswer: -2*p*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 250 + 1 + 13\/(52\/(-24)). Let z = 265 - v. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.459031 micrometers to kilometers.\nAnswer: 0.000000006459031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**5\/6 + z**4\/8 - 2*z**3\/3 + 3*z**2. Suppose -3*l + 4*h = -2*l + 2, -6 = -2*l - 2*h. What is the units digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 - 2)*(-j - 2 + 2).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*v + 14. Suppose d - v = -1. Solve -r + 3 + d = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**4\/12 + 5*d**3\/3 + 23*d**2. What are the prime factors of y(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + 8*x**3 - 33*x**3 - x + 10*x**3.\nAnswer: -7*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-12 + 207\/18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.909927 rounded to three decimal places?\nAnswer: -3.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68456 not equal to 68458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 3*x - n, -2*x + 0*n + 2*n + 134 = 0. Suppose 2*p - x = 6*p. Let v = p - -49. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - c - 31 = -2, -10 = -2*g - 4*c. What is the highest common factor of g and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8680238 - 4254752. Let f = -97412773\/22 + z. Let a = -2368 - f. Find the common denominator of 17\/22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(5\/4))**5)**(-24))**(-1\/2))**(-16\/9) assuming x is positive.\nAnswer: x**(-400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -14523797 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.597 + -2.597002934. Round p to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z**2 + 2*z + 0*z - 8 + 1 + z**3. Does 6 divide r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - 16. Let h be 6 - (n + (-6)\/2). Let u be 25\/(-5)*4\/(-10). Solve 5*w = -u - h for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1)*t)**(-10))**0)**(-47) assuming t is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 23 + 103. Calculate the remainder when h is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-136)\/14 - 12\/42. Let l(g) = g - 4. Calculate l(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**5 + 3*s**5 + 13*s - s**5 + s**5 wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 4*p - 13*p**2)*(p + p + 6 - 2).\nAnswer: -26*p**3 - 52*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166079?\nAnswer: 19, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -79320 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8505020.\nAnswer: 2, 5, 425251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 148 + -155. Put -5, 4, u in ascending order.\nAnswer: u, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20.48 + -20.4. Let f = a + -0.0800001. Round f to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7609027 divided by -15497\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15657646 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d - 6. Let q be m(6). Suppose q = 5*g - 2*g. Suppose j - g*t - 22 = 0, 4*j - 3*j - t - 27 = 0. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1177\/4 - -52967\/180. Let p(w) be the third derivative of 0*w**4 + h*w**5 + 0 + 0*w + 0*w**3 - 1\/180*w**6 + 2*w**2. Factor p(v).\nAnswer: -2*v**2*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 22 + 14*t - 6*t - 9 - 1. Let k(i) = -2*i**2. Calculate s(k(j)).\nAnswer: -16*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(315)\/sqrt(81))\/sqrt(5) - ((sqrt(7) + (sqrt(7) - (sqrt(7) + -1)*4) - sqrt(7)) + -5 + (sqrt(35)\/sqrt(5))**2))*-2 + 0).\nAnswer: -40*sqrt(7)\/3 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) - (-2 + sqrt(19)))*1 - sqrt(114)\/(sqrt(864)*4).\nAnswer: -sqrt(19)\/48 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6720 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10369 is divided by 88?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/6 + -6 + (-632)\/(-12) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 4*k**2 - 3*k**2 + 1 + k - 5*k**2. Let x be a(-2). Let c be (2*x)\/((-6)\/12). Calculate the highest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 60. Let f(s) be the first derivative of 5\/2*s**4 - 2\/3*s**r + 0*s - 1\/2*s**2 - 5. What is f(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26672 is divided by 8889?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/439156 or -1?\nAnswer: 5\/439156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**2. Let n(z) be the first derivative of -23*z**3\/3 - 242. Calculate n(g(q)).\nAnswer: -1863*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629530 and 84002.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q*q*(q*q\/q**(1\/18)*q)\/q)*q)\/q*q**(-15)\/q)\/(q**(9\/5))**25)**(-5\/2) assuming q is positive.\nAnswer: q**(5665\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5545*b**4 + 5967*b**4 - 17*b - 109*b wrt b.\nAnswer: 5064*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6906946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1082 - -99714. Let w be a\/14 - (-18)\/63. What is w rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -535 * -0.07.\nAnswer: 37.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -107. Let b = -30 + f. Calculate the highest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5761, -28, -7, -3 in decreasing order.\nAnswer: -3, -7, -28, -5761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/3)\/g)\/g)**(-3\/8)*g**7\/((g*g**1)\/g*g))**30 assuming g is positive.\nAnswer: g**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102870126?\nAnswer: 2, 3, 907, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 23, 9, -33, -109, -225?\nAnswer: -387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 185823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n - 23. Let j be i(3). Let r = 4 - j. Let h(y) = y + 6. Let c be h(r). Solve -25 = -5*k - c*x, k - x - 2*x = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -24, -64, -130, -228, -364, -544?\n\"Answer: -u**3 - 4*u**2 - u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 - j - 4. Let g be w(1). Let a be (0 - 2)*(-4)\/8. Suppose -g*t + 43 = -a. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/630 and 23\/44244009?\nAnswer: 3097080630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/((-2650)\/159))\/(6\/(-195))*10\/3.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 82159 = 18*f. Suppose 21*k - f = -2170. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51057\/(-4392)*4\/18*-3\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)*(0\/5)\/(-2). Suppose -3*u = 3*u - w*u. Solve u = 2*t + l + 6, -3*t - 5*l = -8*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.2 - 23.1. Which is the closest to z? (a) 5 (b) 49 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295876 is divided by 1978.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*s + 13 = r - 115*s, -r = s + 7 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -57*4\/(-112). Let m(h) be the third derivative of -p*h**4 + 0*h + 2\/21*h**3 + 1\/420*h**6 + 0*h**5 + 0 + h**2. Find c, given that m(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 159*o - 13*o**3 - 19*o**3.\nAnswer: -31*o**3 + 159*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1117920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 greater than or equal to 0.0301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 4*z**2 + 5*z + 6. Calculate b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 4284891.\nAnswer: 29994237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*i - 3*u = 3, -3*u = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 11. Let d(w) = w**2 - 15*w + 15. Let n be d(9). Let o = 233\/6 + n. What is the closest to -1 in o, 3\/5, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13\/2 (b) 3\/7 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10 - 2*c + 9 - 7. Let p be o(5). Let a = 11 - p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:16 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 13. Let z(p) = -g*p - 10*p + 16*p. Let y(v) be the second derivative of v**3\/3 - v. What is y(z(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*x - o, -168*x - 164*x + 336*x + 4*o = 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - ((-19 + 1 - -7) + 7)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2172 + -737. Round r to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a day?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -9 - 2 + 4 - 3*n. Suppose 20 = z - 6*z. Let t be j(z). Solve 21 = 5*x - 3*k, 0 = -x + 5*k - 4*k + t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -647 (b) 162 (c) 0.4 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1117355\/18 or -62075?\nAnswer: -62075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.1 - -16. Put 0, q, 4 in increasing order.\nAnswer: q, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/3, -2, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 36*m - 892. Let u be g(53). Sort -3, u, -14, 3, -2 in decreasing order.\nAnswer: u, 3, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1\/10, -2\/5, -0.7 in increasing order.\nAnswer: -0.7, -2\/5, 1\/10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05 + 0.17. Let q = g + -6.12. Let d = -9 - q. Which is the nearest to -2? (a) -2\/3 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let h = -260 + 272. Let y = -1.7 + 2.2. Sort 0.3, y, t, h in descending order.\nAnswer: h, t, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 - g - 1. Let v(c) = 5*c**3 - 3*c**2 - 3*c - 4. Calculate -v(h) + 3*y(h).\nAnswer: -2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:53 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(637)*1 + 2 + 4) + 4*(-2*(1 + sqrt(637)) + -3))*-4)**2.\nAnswer: -3584*sqrt(13) + 163328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {u: 1, m: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 19. Suppose 0 = 4*r + i - 17. Suppose 5*l - 3*q = -2*q + 65, -r*q + 26 = 2*l. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - r - 4 = 0, 4*i - 6*r + 8*r - 4 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 11896271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3382 divided by 4\nAnswer: -1691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 111867900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 794 - 1126 = 0. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n - 921 = 0. Let m = -183 - n. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12415.\nAnswer: 5, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 131753061 divided by 11?\nAnswer: 11977551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 25 = -47. Let m = j + -20. Sort -3, m, 1 in decreasing order.\nAnswer: 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 278 - 220. Suppose -u - 5*f = -t, 5*u - 4*f + 8*f = 395. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + -3 + -3 + -2*(sqrt(99) - ((0 + sqrt(99))*-2)**2 - (sqrt(99) - 3*sqrt(99)*-2)**2).\nAnswer: -6*sqrt(11) + 10491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17652350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 0.11488.\nAnswer: 5.11488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (2 - 8 - ((-13 - -1) + 8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -906 >= -9972\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 360222279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7602 and 105885?\nAnswer: 1482390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 2*h. Suppose a = -l + 161, -3*a + h*a - 4*l = -488. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -1\/2, -1, 1, 2\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y. Let z(l) = 3*l. What is -3*i(o) - 2*z(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 51 = 3*p, -4*p + x + 4*x = -70. Suppose 0 = 3*m + 2*m - p, -5*m - 650 = -5*z. Suppose 3*a = 4*a - z. Does 27 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157909 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 453725577 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -72, -2, 1, 4399?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 472 + 254 = 0. Let w = s - -81. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (85 + -43 + -55 - -70).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {i: 2, p: 7, j: 1, h: 1, u: 1, f: 8}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 327185, 1308696, 2944547, 5234738, 8179269, 11778140?\n\"Answer: 327170*i**2 + i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 greater than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 64. What is the smallest common multiple of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {v: 1, w: 5, j: 3, i: 4, f: 5}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 345 + -338. Solve -4*r = -x - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/7))**(-2\/43))**(-45) assuming y is positive.\nAnswer: y**(540\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 - f**2 - f + 1. Let d be z(1). Suppose -5 = d*a - 1. Suppose -v - v - 2425 = -2419. Put a, v, 8 in decreasing order.\nAnswer: 8, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1078 + -1054. What is the highest common divisor of 32 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 30 and 217528035803.\nAnswer: 217528035833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 324, 0.6, -1\/10, -1.6, 5\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 21074391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1120 - -133?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 8. Let s be m(7). Let u = s - 23. Let t be (-4)\/u + (-56)\/66. Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 0*y - 8. Suppose -4*g = -0*g + 2*x - 382, y = -4*x. Suppose 53 = l - g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 55 = -3*p, 8*k = 2*p + 3*k + 31 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(4 - 27146\/6786). Let p = 118739\/54288 + h. Find the common denominator of p and 87\/((-3 - -5)*4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2653932 is divided by 3137.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10022617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**2 - 4. Let w(t) = -2*t**2 - 3*t. Determine w(h(g)).\nAnswer: -72*g**4 - 78*g**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 10. Let g be t(-12). Suppose 64 = -2*h + g. Let y(o) = 2*o + 56. What are the prime factors of y(h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i - 1. Let u(d) = -11*d**3 - 5*d**2 + 5*d + 5. What is 5*p(o) + u(o)?\nAnswer: -11*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -261, -274, -271, -246, -193, -106, 21?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 401.2 + -401.1. Which is the nearest to t? (a) 5 (b) 2\/7 (c) 21\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*a + 118*a - 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 1668*x + 567372. Calculate p(-476).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -316512455 + -1?\nAnswer: -316512456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5461144*d + 4658305 wrt d?\nAnswer: 5461144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 2*a**4 + 3 - 27)*(-2*a + 0 + 0).\nAnswer: -4*a**5 + 82*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 135*k - 1682 - 2098 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g**4*k + 67*g**4 - 5*g**3*k + 520*g**3 - 2*g**2*k - 4*g**2 + g*k + 5*g + 2761*k - 5 wrt g.\nAnswer: -72*g*k + 1608*g - 30*k + 3120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 7:26 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66099 is divided by 6203?\nAnswer: 4069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 - -3?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 313, 2, 1 in ascending order.\nAnswer: 1, 2, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 = -0*z. Let b = z - 1. Suppose 3*n = n + 8, -160 = -b*o - 5*n. What is the greatest common factor of o and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 699 and 5315429.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - o + 13 = 0, 0 = 4*g + 5*o - 41. Suppose -172 + g = -4*y. 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: Let w = 58.033 - 58. Let m = -0.012 + w. What is m rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.031726 to one dp.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lljl when four letters picked without replacement from {j: 1, l: 5, r: 2, m: 1}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/5, -5, -495?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3014809 rounded to the nearest 10000?\nAnswer: -3010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56 + 29 + 26 - (-19 - 1 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2537 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9 and -151\/186.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1731070 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -180. List the prime factors of p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 15 = 3*x. Suppose 0*o - t - 342 = -x*o, -5*t + 15 = 0. Suppose 0 = -0*j + 3*j + o. What is j rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 113\/116?\nAnswer: 113\/116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54) + 2*sqrt(1350) + sqrt(54))\/(2*sqrt(128)).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174041, 174040, 174037, 174032, 174025?\nAnswer: 174016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.013 and 7?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**5\/100 + 7*v**4\/30 - v**3\/30 - 7*v**2\/5 + 33*v - 2. Factor m(u).\nAnswer: (u - 1)*(u + 1)*(u + 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + l. Let p be w(1). Let a be (-7)\/((0 - 4) + p). Solve -a = 3*y - 3*q + 5, 4*y + 5*q - 20 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -3\/8, 2\/107?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*j + 5*u - 104 = 0, 0 = u - 4. Suppose 30*p - 11*p = 2090. Calculate the remainder when p is divided by j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y - 3. Let b be r(-2). Let q = 8 - b. Let h(l) = l + 2 - q + 0. Calculate h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2564701 and -1.16.\nAnswer: 2975053.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 + 35*m - 85. Calculate o(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124595, -249823, -375051, -500279?\nAnswer: -625507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1\/4)))\/(p\/p**(-1\/3)))\/(p**(-3)\/(p*p*p**(-5)))*(p**4*(p*p**8*p)\/p)**(1\/18) assuming p is positive.\nAnswer: p**(-13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.057 times -2.9\nAnswer: -0.1653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97*a**2*p*x - 13*a**2*p - 3*a*p - p*x + 12 wrt x?\nAnswer: -97*a**2*p - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjagjzjpjgggjg. What is prob of sequence pj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*t - 26. Suppose -9*m - 15 = -5*i - 4*m, 0 = -3*i + 4*m + t. Let j = 62\/7 - 9. Sort -6\/7, i, j in ascending order.\nAnswer: i, -6\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*d + 29, 3*h - 2*d = -h + 20. Let c(f) = f**3 - 4*f**2 - 4*f - 1. Let z be c(5). Solve 0 = 5*p + h*s + 11, -4*s - 4 + 0 = z*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3 + 2*n - 5*n - 5. Let t be p(-2). Solve t*y = -3*k + 11, -5*y + 0*k + 13 = 4*k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knnknnnnknnnnnmmn. Give prob of picking 1 n and 1 k.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/3989454 and 5\/1139844.\nAnswer: 7978908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -30, -106, -252, -492, -850, -1350?\n\"Answer: -4*h**3 + h**2 - 5*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.004, 28, 0.2876, -1\/2 in decreasing order.\nAnswer: 28, 0.2876, -0.004, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 2*o**2 + 17. Give a(-3).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y - 100*y = -50. Let n(p) be the second derivative of 5*p + 0*p**2 - 3\/2*p**3 + 0*p**4 + 0 + 1\/4*p**y. What is the second derivative of n(d) wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 12*m**2 - 9*m + 10. Determine g(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcfj when four letters picked without replacement from {i: 2, f: 1, c: 2, j: 2, k: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/(u\/(u\/u**(-2\/21))*u))\/((u**(1\/5)\/u)\/(u**0*u)) assuming u is positive.\nAnswer: u**(94\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 0.017?\nAnswer: 3.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119 and 342377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -712, -834, -956, -1078, -1200?\nAnswer: -1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 + p**3 - 5*p**2 + 1 + 6*p + 2*p**2. Suppose -r + 6*r - 30 = 0. What is the units digit of y(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvssvs. What is prob of sequence vv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1815273*r*u - r + 2*u - 62217 wrt r.\nAnswer: 1815273*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 14\/9*z**4 - 24*z - 8\/15*z**6 + 4\/15*z**5 + 2\/3*z**3 - 4\/3*z**2 - 2\/9*z**7 + 0. Determine v so that a(v) = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 60*c**2 - 65*c - 1. Is n(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -463, -445, -413, -361, -283, -173, -25?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93 - 404\/5. Calculate the common denominator of l and (2\/(9\/(351\/10)))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.203 and 697099876.\nAnswer: 697099875.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 277.\nAnswer: 13.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + d**2 + 2 + (2*d - 6*d - d)*(2*d + 0*d - 3*d) + (-40 + 40 - 7*d)*(d + 0*d + 0*d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10011011 (base 2) to base 13\nAnswer: -bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11729 + 11728 - 20*n + 4*n.\nAnswer: -16*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + (-1*2 - (-4)\/4). Suppose k*a + 113 = 317. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-93)\/(-248))\/((-3)\/(-24)))\/4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 7)*1411\/(-3). Let s = -1306 + f. Let w = s - -66415\/12. Calculate the common denominator of 39\/2 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*((j\/(j*j**(6\/11)))\/j)\/j*j**(-2\/5))\/(j\/j**(2\/7)*j)**24)**(1\/65) assuming j is positive.\nAnswer: j**(-16589\/25025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:40 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166.51 + -167. Let t = c + 0.79. What is the third smallest value in t, 2, -4\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -81050658, -162101315, -243151972, -324202629, -405253286, -486303943?\n\"Answer: -81050657*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 765609385381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1000013 + 3?\nAnswer: 1000022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 + -57. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 9*c**2 + 8*c + 4. Let j be m(8). Solve 13 = -j*g - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10426999229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22039*f**2*v - 211*f*v + 2*v + 8 wrt f.\nAnswer: -44078*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w\/(w\/w**(-3\/10)))*w*w*w**(-3\/10)*(w*w\/(w**(-9\/2)\/w)*w)\/w**3 assuming w is positive.\nAnswer: w**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1377541300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2484, 2483, 2482, 2481?\n\"Answer: -q + 2485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b. Suppose -3 = -d, -a + 6 = -2*a + 2*d. Suppose 5*y + a*y = -3*k + 23, -k = 4*y - 17. Sort -2, b, y in increasing order.\nAnswer: -2, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -33*b**4\/4 + 2*b**3 + 67. Determine n, given that w(n) = 0.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*i - 744 = 1938, -2116 = 4*l + 5*i. Let w = -376 - l. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 - 376 = 2*l. What is the common denominator of 2*(l\/(-12) - 3) and -1\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, -2.3, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-150)\/35 - (-2)\/7. Find the common denominator of -1 - g*(-34)\/(-44) and 14\/4*6\/28.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d - 50*d = -6142244. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2619 = -5*n + 9654. Let a = 1982 - n. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2 + 4. Suppose 3*n + k*g - 17 = 2*n, -g = -5*n + 133. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-35)\/(-5) - 11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*j - 60, 3*j + 22 = -h + 2*h. Suppose -s - h = -i, 5*i - 75 - 15 = -3*s. Suppose 0 = -2*p - 3*n + 57, i = 2*p - 2*n - 17. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 2*a**2 + 3*a - 1\/3*a**3 - 6. What is j(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047808665 rounded to 5 dps?\nAnswer: 0.04781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4\/5, 3, 2\/25, -4, -45, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 75*d - 242. Give t(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2853 divided by -19\nAnswer: -2853\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45969 by 231.\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + sqrt(13) + -1.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14*i - 28. Let r(p) = 9*p - 19. Let o(k) = 8*r(k) - 5*s(k). Let q be o(7). Suppose u + 4 = 5*u, 0 = d + q*u - 37. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s - 23*s + 65*s - 16*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + m**4 - 40 - 19*m - m**3 + 12 + 26 as r + l*m**3 + t*m**2 + y*m + i*m**4 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3 - 107*t**2\/4 + 693*t\/4 + 45 = 0.\nAnswer: -1\/4, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38831, 38825, 38815, 38801, 38783, 38761, 38735?\nAnswer: 38705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 66835 - -3?\nAnswer: 66838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8118.56 * 62\nAnswer: -503350.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + 16. What is the remainder when f is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2015*b - 6029. Determine t(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 0*i**5 + 0*i - 3\/70*i**7 - 2*i**2 + 0*i**3 + 0*i**4 - 1\/20*i**6 - 1\/112*i**8 + 0. Factor u(x).\nAnswer: -3*x**3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = 3*n - 10, 3*n = -3*y + 21. Let u be (5 - 6)\/(3\/y). Let h(g) = -3*g + 3. Let t(s) = -s + 1. Give u*h(r) + 4*t(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -201*k + 203*k + 10, -5*j + k = -25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f + 94. What is q(-10)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -636, -4, -109 in ascending order.\nAnswer: -636, -109, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2120\/3 - -707. Let r(m) be the first derivative of -3*m**2 - 7*m - 2 - b*m**3. Calculate r(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 - 9*p**2 - 3*p. Let g be (1\/2)\/((-1330)\/(-23940)). Let q(f) = -2*f**3 - 4*f**2 - f. Let r = -11 + 7. Give g*q(c) + r*n(c).\nAnswer: -2*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-10)*(-120)\/90. Sort 7, r, -4, 2 in increasing order.\nAnswer: -4, r, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 plus -809188055985?\nAnswer: -809188055984.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*m**2 + 3 + 431*m - 443*m to w*m**2 + q + c*m and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nseepenesrsnannrnsne. What is prob of picking 1 r and 1 n?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 143820955, 287641912, 431462869?\n\"Answer: 143820957*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2297053189?\nAnswer: 2297053189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164165879.\nAnswer: 67, 373, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*m + 173*m - 90*m + 21*m.\nAnswer: 146*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u - 2*a - a, 4*u + 4*a - 24 = 0. Suppose -u + 7 = 2*p. Solve -3*y - 1 - 1 = -p*q, -5*y + q = 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/18 and 25\/37731.\nAnswer: 226386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*a - 15*a + 36*a)*(14 - 32 + 6).\nAnswer: -876*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236786*c**2 + 23646*c**2 - 67029*c**2.\nAnswer: -280169*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*-29 + ((-4715)\/820 - -38)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 57016 = -30*y + 34*y, 42750 = 3*y - q. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(1\/(-3))\/((-77)\/(-33)))\/((-82)\/14).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 76. Is 10 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 2*l + 2*l - l. Let o(p) = p**2. What is o(u(m))?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 62, 120, 282, 602, 1134, 1932, 3050?\n\"Answer: 9*m**3 - 2*m**2 + m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 68, 106, 142?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 2*w + 0*w + (w - 3*w + w)*(1 - 5 + 3) + 10*w - 116 + 116)*((0 + 1 + 1)*(-1 + 0 + 3)*(1 + 0 + 1) + (-4 - 1 + 2)*(-2 + 4 - 1)).\nAnswer: 65*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-14))\/(((-954)\/(-24))\/53). Let b = -0.3 + 6.3. Put -3, 1\/5, g, b in increasing order.\nAnswer: -3, 1\/5, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 16*s**2 + s + 133. List the prime factors of m(-30).\nAnswer: 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*j - 735 = 9*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 22. Let k be o(5). Suppose -29 - k = -4*a. Solve 8*q = v + 3*q + a, v - 2*q = -6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021694 rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2*f + 13 = 19, 2*f + 8 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67979 is divided by 6797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -10 in decreasing order.\nAnswer: -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 59*x**3 - 91*x**3.\nAnswer: -152*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g - 2. Let j be t(-1). Suppose 0 = -s + k - 1079, -j*s + k = -s + 2158. Let z = -334 - s. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94143567 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (1 - 2))*1. Let s be 2 + 5 + -2 + -3. Suppose b*u - s*j = 59 - 19, 0 = -4*u + 3*j + 82. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k - 10*j + 8 = -43*k, -3*k + 5*j - 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 967732 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus -5648074916395?\nAnswer: 5648074916405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.113 times -2392901\nAnswer: 270397.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005912561886 to 7 dps.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*y**2 + 2*y**3 + 6*y + 245*y**2 in the form w + n*y**2 + t*y + v*y**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.337 + 0.337. Which is the closest to o? (a) -0.04 (b) 0.5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -198*l**4 - 650*l**3\/3 - 695. Find the third derivative of i(a) wrt a.\nAnswer: -4752","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 5*m**2 + 5. Let w be u(5). Let h be (-90)\/(-24) - (-45)\/(-60). Suppose -3*k = -w*j + 11, 0*j + k = -5*j + h. Solve -j = -4*x - 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/((-16)\/28*(-7)\/(-2)). Suppose 3*n - s*o = -5*o + 62, -12 = -n - 5*o. Let t = -66 - -98. What is the lowest common multiple of t and n?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1130.8 - -1131. Which is the closest to -4? (a) g (b) -2\/5 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200297 + 29\nAnswer: 200326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -619 < -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3077951 is divided by 262?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1 + 2*t - 3*t - 1 + 2*t. Let g(o) be the second derivative of 0 + 1\/6*o**3 + 2*o + 0*o**2. What is g(w(n))?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6100764571 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -56691 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -285621603*c**3 - 153719298*c**2 + 1 wrt c?\nAnswer: -1713729618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-b - 3*b + 2*b)*(4*b**2 + 5*b - 5*b + (-4*b**2 - 5*b**2 + 5*b**2)*(0 + 4 - 2)).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (1 - 13*7)\/((-10)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8586 + -17746. Does 18 divide l\/(-24) - 1\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234476 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2254922.86 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 223123 (base 4) to base 2\nAnswer: 101011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * 110.0166.\nAnswer: -99.01494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 358773 divided by 1?\nAnswer: 358773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77298?\nAnswer: 2, 3, 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-821)\/(455655\/(-40404)) + 14\/(-5)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 8107392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -165196.64 - -2686.64. Let v = -162530.00013 - n. Let s = -20 - v. Round s to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 4*v**2 - v + 4. Suppose -c + 122 = 4*j, 2*c + 3 - 7 = 0. Suppose -4*f + j = f. What is the least common multiple of f and m(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27223b (base 15) to base 5\nAnswer: -440133011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72815259 is divided by 740.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/4*32\/10. Let x = -11 + c. Let t be (-1)\/x - (-11)\/3. Solve 3*m + 3*z = -0*m, -3*z + 1 = t*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = d - 5*d - 96 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = 3*o - 0*o. Suppose -12*x = 628 + o. Let q = x + 94. Solve 2*m = -5*k + 6, q = m + 4*k - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27 + -53. Let u = -23 - b. What is the third derivative of -4*t**2 - t**u + 0*t**3 - 2*t**2 + 9*t**3 wrt t?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.095 + -0.035. Let h = x + 0.1116. Round h to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3226501 and 4244?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 79506949 to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/10*-3*12\/63?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237909?\nAnswer: 3, 7, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + sqrt(13) + 2).\nAnswer: -6*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*((5*sqrt(252)\/sqrt(4))\/(sqrt(225) - 2*sqrt(225)) + -4)**2.\nAnswer: -552 - 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*v + 3 - 11, 4*v - 11 = -3*j. Let f(z) be the first derivative of 18*z**2 - z - 1. Is f(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.919 rounded to 2 decimal places?\nAnswer: 1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7*q = 8. Let k(u) = 3*u + 4. Let j(y) = 8*y + 12. Let n(f) = q*j(f) + 11*k(f). Determine n(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x + 14. Let z(s) = s + 1. Let t(d) = m(d) + 4*z(d). Let g be t(11). Suppose 2*u - 10 = g*u. Which is the smallest value? (a) 2 (b) u (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 + -90. Suppose -5*f + 5*w + 475 = 0, 0 = -2*f - v*w + 5*w + 175. What is the highest common factor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**2 + 15*f - 73 - 78*f - 120 - 41*f - 11 = 0.\nAnswer: -102, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + 1 + -3)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/5 of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 9 (c) -0.4 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + 13 + (-31 - (31 - 76))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 353 + (6\/6 - (-1 - -3)). Let g = 520 - h. What is the greatest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -43950, 2\/17, -2\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42265 and 1485.\nAnswer: 12552705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1354+0.07\nAnswer: -1353.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.28 + 102?\nAnswer: 222.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -467295 divided by -2?\nAnswer: 467295\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-52)\/(-12) + (-1)\/3. Which is the closest to 1? (a) h (b) -3 (c) 1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-3) + (-460)\/(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -5, 46, 12\/13, 2\/7 in ascending order.\nAnswer: -5, 0.01, 2\/7, 12\/13, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r - 4. Let z(u) = 4*u - 4. Let w(t) = 18*t - 17. Let v(o) = 6*w(o) - 26*z(o). Calculate 2*g(s) + 5*v(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -377*k + 7*k**2 - k**3 + 361*k + 16 + 9*k**2. Let l be u(15). Solve -4*v - 3 - l = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 + 21 - 13)*(16*q**2 + 70*q**2 + 47*q**2)*(0 - q**3 + 0).\nAnswer: -6517*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m**2 + 2*m. Let k(z) = 29*z**2 - 5*z. Give -2*k(n) - 5*p(n).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7031 + 4?\nAnswer: 7035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4698 - 4601. Solve 101*m = p*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**4 - 5*o**3 - 11*o - 31. Let r(c) = -2*c**4 + 10*c**3 + 20*c + 61. Let z(h) = -7*i(h) - 4*r(h). Find the second derivative of z(x) wrt x.\nAnswer: 12*x**2 - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 9*a**2 - 115*a + 38. Calculate u(16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/5)\/y))**24\/(y**(-1)\/y)**(-2\/53) assuming y is positive.\nAnswer: y**(15244\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - 1) + (-55 - -44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 142)\/((-2)\/(-107)). Suppose 4*c = -770 + l. Suppose -11*z + 4*z = -c. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 5*c + 141 = 0, -4*j + 1401*c = 1400*c - 45 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 839, 1266, 1695, 2126, 2559?\nAnswer: 2994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 395975947 to the power of 1\/2, to the nearest integer?\nAnswer: 19899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 610080 and 184605.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(-1\/9))\/o)\/o)**(-30\/13) assuming o is positive.\nAnswer: o**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -164*p**2 - 5*p + 5. Let j(d) = 245*d**2 + 8*d - 8. Calculate 8*h(n) + 5*j(n).\nAnswer: -87*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -10. Let y be (t - -5)*4\/3. Sort 0, -3, y.\nAnswer: -3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -98.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 308 - 1f?\nAnswer: 2e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520656189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2)\/((-1)\/3). Suppose m*q - 18 = -2*d, -d - 2*d + 44 = -4*q. Let p = 12 - d. Solve 3*o - 4*l = 0, p*o + 3*o = l - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 10*d**2 + 5*d + 2. Calculate q(8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -bb?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*y - 4*y + 38, 3*y - 3*r - 30 = 0. Let a(u) = 4 - 9*u + 0 + 0*u + y*u. Determine a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 7*m**2 + 7*m - 7. Determine s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -6*y - 44 - 36, -5089*t = 3*y - 5086*t - 96 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(16\/(-1260)*7)\/((-12)\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 169318488 divided by -6\nAnswer: -28219748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 448.1 and -20.\nAnswer: -8962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11031130 (base 4) in base 13?\nAnswer: 9937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 - 3 = 0. Suppose -4*q - 11 = -3*g, -3*q - 5 + 2 = 3*g. Sort -5, x, q.\nAnswer: -5, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.1, -0.2, 374?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + 0.04. Let l(q) = q**2 + 5*q - 2. Let j be l(-6). Which is the second smallest value? (a) h (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2898*u = -770*u + 322784 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41896970, 41896947, 41896924, 41896901?\nAnswer: 41896878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 167000 rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 0 + 1 + sqrt(12))**2 + -3.\nAnswer: 10*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 320.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -233443.6287 rounded to the nearest 1000?\nAnswer: -233000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 8*q - 1100. Suppose -14*i = -9*i - q. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 1. Let m be z(5). Let k be ((-6)\/(-4))\/(m\/52). Suppose -k = -3*p + 5. Calculate the smallest common multiple of 20 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-8) + 132\/(-352). Which is bigger: h or 15\/7?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, j: 2, p: 1, b: 2}. What is prob of picking 1 c and 1 j?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69356395871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-1 - 0) + 1. What is the third smallest value in -3, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l - 10*l + 14403*l**3 - 1023*l**2 - 31*l**2 - 14404*l**3 + 3 to the form d + u*l**2 + s*l + k*l**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.2 (b) 17 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 68\/(-85) + (-818)\/5. Let t = -531129657\/80 + 6638957. Let w = t - b. Calculate the common denominator of w and 58\/5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 5) + -13 - -17 - (-2 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 - 4431655*g + 4431660 = 0 for g.\nAnswer: -886332, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 147\/4 + 3\/12. Suppose i - a = -g, -6*g + 49 = i - g. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 8 = 17*w. Which is the smallest value? (a) -3 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/o**0)\/o))**(2\/161)*(o**(-8)\/o)\/o**(-4)*(o**(-4)\/(o**(-2\/19)\/o))\/(o**(-4)\/o**8) assuming o is positive.\nAnswer: o**(78\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (137\/(-6))\/(6\/27)*12. Let v = z - -6121. Suppose v = 6*b + 202. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -86. Let m be 3 + 0 - 4\/2. Let g be 5 - m - (-4)\/(-2). Calculate the greatest common divisor of g and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 13*s + 19 + 12*s + 14.\nAnswer: 2*s + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -z**6\/120 + z**5\/20 + 7*z**4\/24 - z**3\/6 + 3*z**2. Let d be 75\/(-9)*-12*1\/20. Determine s(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (4 + -3) - 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5830\/809 < -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyylyyywwywlyyymyryy. What is prob of picking 2 m and 1 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*r**2 + 168*r?\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-four fifths of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -52*p - 2. Let y be u(-5). Suppose 5*x - y + 803 = 0. Let a = 188 + x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.5 + 4.5. Let u = -936\/7 - -134. Put -1, 5, u, p in descending order.\nAnswer: 5, u, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*t + 10*t + 5*j + 1162, -5*t + j = -1442. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 9:45 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3 + 7*q**2 + 11*q + 5 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -66. Let z(s) = 5*s**3 - 4*s**2 + s + 2. Let l(d) = d**3 - d**2. What is c*l(h) + z(h)?\nAnswer: h**3 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 - 0.19. Sort k, -2\/17, 1\/6 in increasing order.\nAnswer: k, -2\/17, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 4*n + 21. Let h be g(0). Let x = -19 + h. Solve -5*a + 5 = j - 4*j, 7 = -x*a + 3*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -4 + ((-2537)\/54 - -1). Let f = -1150\/27 - n. Find the common denominator of f and 107\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 20 - 28 = t, -f = -5*t - 246. Let l = 226 + t. Suppose 3*d + 4*a - l = 0, -4*d + 4*a + 295 = d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 10283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3882552 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1736 by -11.\nAnswer: -1736\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2) - 0)\/((-265)\/6890) + -5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -32*d - 4. Let p(j) = -31*j - 3. Let l(z) = 5*p(z) - 4*v(z). Is l(-1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2. Let w(t) = 4*t**2 - 3*t + 3. Let s(v) = 0*v**2 + 2*v**2 - 4 + 8 + 3*v**2 - 4*v. Let p(f) = -3*s(f) + 4*w(f). Give p(j(a)).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 39*l + 344. Give x(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (540*b - 755*b - 526*b)*(0 + 0*b + 0 - 3*b) in the form j + a*b + q*b**2 and give q.\nAnswer: 2223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 506, 527, 566, 629, 722, 851, 1022?\nAnswer: 1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130) + (sqrt(130) - (sqrt(130)*4 - sqrt(130))))*-5)\/(sqrt(60)\/sqrt(6)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + i = -0 + 5, -2*v - 2 = -i. Let n = 3 + v. Let w(x) = 2*x**3 - x**2 + 2*x - 1. Let d be w(1). Solve -n - 2 = -d*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(432) + (sqrt(432) + -1 + sqrt(432))*-6 + (4*sqrt(243) - sqrt(15)\/sqrt(180)))**2*-1.\nAnswer: -187921\/12 + 866*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(280) - 1*sqrt(280))*-6)\/sqrt(10))\/((sqrt(80)\/sqrt(10))\/sqrt(2) + sqrt(144)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 5, -w = -4*u + 14. Suppose 0 = -2*s - 5*x + w, 4*s + 5*x = -s. Let t(a) = -9*a - 10. Let z(j) = -4*j - 5. Give s*t(m) + 5*z(m).\nAnswer: -2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*j**4 + 2187453*j**3 - 390*j**2 + 268479 wrt j?\nAnswer: 792*j + 13124718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 2. Let u be s(-3). Suppose 2*i + u = -3. Suppose -5*k - 3*w - 17 = 0, -12 = -0*w + 3*w. What is the third biggest value in -5, k, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 f, and 1 e when three letters picked without replacement from fzsjffffesjfffeefss.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 13bd5?\nAnswer: 13bcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 + -11. Suppose -3*i = 5*i - g. What is the remainder when 47 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-five halves of a tonne?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + y = 29, 19 = 3*v - 4*y + 3. Suppose j + 3*j = v. Is 13 a factor of (5 - j)*(-26)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16327, 13289, 10251, 7213, 4175, 1137?\n\"Answer: -3038*k + 19365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k + 4*k - 5*k**2 - 5*k**2 + 2*k**2 to u*k + h + r*k**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1442548*t**3 - 4 - 5356730*t**3.\nAnswer: -6799278*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*v - 610, -3*v + 472 + 23 = -4*f. Find the common denominator of 5\/(f\/426)*-1 and -31\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 5*i + 3*i)*(134 + 11 + 54 + 30).\nAnswer: 458*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 3401331.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(-1\/3)*v)*v)*v*v)\/v*v**4*(v\/v**(1\/9))\/(v**(-3\/8)\/v))\/((v\/(v**(-1\/6)*v))\/(v*v**3))**(38\/3) assuming v is positive.\nAnswer: v**(3995\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138481, -138612, -138911, -139462, -140349, -141656, -143467, -145866?\n\"Answer: -14*g**3 - 33*g - 138434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -19*z**5\/480 + 17*z**4\/192 + z**3\/24 + 21*z**2. Factor w(f).\nAnswer: -(f - 1)*(19*f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/11961 and -38\/341553.\nAnswer: 3073977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b - 35 = -48*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m - 48. Let b = 58 + m. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 14) in base 11?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00059731 rounded to five dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -172, -276, -392, -520, -660?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 + -26. Let q = t + -4. Let y = 3\/94 - 119\/47. Which is the nearest to 0.2? (a) y (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -52. Sort 1\/11, -0.4, p in descending order.\nAnswer: p, 1\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 114*b - 109*b - 8 = 0, -4 = -2*f + 2*b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/27)*r*r**(-5)\/r*r)**(-46\/5))**1)**49 assuming r is positive.\nAnswer: r**(49588\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-536)\/12. Suppose 0*h - 3*h = -y. Solve 3*n - h = -2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-48)\/48)\/((-3)\/(-1 + -20)). Which is bigger: j or -123\/17?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 6. Let h be (12\/(-6))\/(2\/(-9)) - 2. Let g = h - z. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6292890*h**3*u**3 + 4*h**2*u**3 - 4*h**2*u**2 - u**3 - 4271 wrt h?\nAnswer: -37757340*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/14826 and 113\/6354?\nAnswer: 44478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/7 - 292*w**3\/7 - 13306*w**2\/7 - 200600*w\/7 - 100800 = 0. What is w?\nAnswer: -72, -49, -20, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1342*s**3 + 5*s**2 + 5*s + 364. Let n(p) = 670*p**3 - 3*p**2 - 3*p - 179. Let z(m) = 3*l(m) + 5*n(m). What is the derivative of z(q) wrt q?\nAnswer: -2028*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byturqq. What is prob of picking 1 r, 1 y, and 1 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/4)\/((-4401)\/216 + 23). Let q = 6 + -8. What is the closest to -0.2 in i, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-6)*2*-5. Suppose -2*a - i = -7*a. Let u(r) = r**3 - 18*r**2 + r - 7. What is the smallest common multiple of u(18) and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 55, 94, 151, 232?\n\"Answer: s**3 + 20*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31\/5 + -6 - 584\/(-5). Calculate the greatest common divisor of t and 156.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -36*u**4 + 115*u**3 - 146*u**2 + 108*u - 41. Let c(v) = 6*v**4 - 19*v**3 + 24*v**2 - 18*v + 7. Let z(f) = -34*c(f) - 6*w(f). What is p in z(p) = 0?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - -349. Let v = -263 + i. Suppose -12*k + v = -9*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21510 - 12297. List the prime factors of d.\nAnswer: 3, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11707)\/(-69) + -3)\/((-1252)\/(-30)) - 4. Suppose 3 = -5*b + 8. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**2 + 2*h - 8. Let y be u(-4). Let t = -181 + y. Solve 4*o - t = 2*a + 15, -15 = 3*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, r: 4, b: 2}. Give prob of sequence rb.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 136*i**2 - 1092*i + 32 = 0.\nAnswer: 1\/34, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307318 and 33550?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4 - (-1 + 1). Suppose 0 = -i*h + 14 - 2. Suppose 708 = 5*z + u - 393, -3*z + 651 = h*u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -163 + 434. What are the prime factors of c?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*p**3 - 5*p**3 + 17*p**3 - 6*p**3.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*d + 188, 5*c + 4*d = c + 800. Calculate the greatest common divisor of 68 and c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 293, 1, -13, 0, -2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrhhhht. Give prob of sequence tr.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -494387.\nAnswer: -2\/494387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17393.\nAnswer: 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 32 = -5*j, 3*j + z - 32 = 6*z. Let m be 1 + (-1 + j - -76). Suppose o + m = 5*o. What is the remainder when 59 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676326353 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 3:20 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 7. Let f be c(3). Suppose 2*x - 28 = -5*s, -f*x + 5*s + 92 = -x. Is x a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -67*r**6\/30 - r**5\/4 + 59*r**4\/2 + 3*r + 12. What is the third derivative of v(c) wrt c?\nAnswer: -1608*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**28\/(f\/(f\/((f*f**(1\/18))\/f)*f))*(f\/((f\/(f\/(f\/f**(-3\/2))))\/f))\/((f*f*f*f**28*f)\/f) assuming f is positive.\nAnswer: f**(-23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2394579 to the power of 1\/3, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 85246043035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(0*i + 7*i - 5*i)*(-2*i + 2*i + i + i + i - 3*i + (6*i - i - 3*i)*(-1 - 4 + 3) + i - 5*i - 3*i + 1 + 2*i - 1).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**0)\/f))**7\/((f**(-1)*f*f)\/f)**(11\/3) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = -23334 + 4754. Let m = v + 939. Solve 9*c = 7*c + m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -637 - -639. Suppose -2*k + 3*d = -83, l*k - 5*k + 115 = 5*d. Calculate the least common multiple of 20 and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 29*p - 26. Let b = 1 + 1. Solve -7 = b*z + p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 781 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1397113 or -1397117?\nAnswer: -1397113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9\/(q\/(q**(-8)\/q)))**46 assuming q is positive.\nAnswer: q**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*f + 586 = 5*f - 1428 - 114 for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3791, 4303, 5157, 6353?\nAnswer: 7891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1903421802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 135 and 0.8?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (9 - 5) - 0) + -38.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-100)*1336\/501. Let y = 3 - -1. Which is the third smallest value? (a) y (b) t (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153) - (sqrt(153) + 2 + -3) - sqrt(153)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/3 + 29*z**2\/3 + 224*z\/3 + 196\/3 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1031\/35 or 28?\nAnswer: 1031\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 458 (b) -0.8 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l**(-9\/5)\/l)\/l*l)**(-14) assuming l is positive.\nAnswer: l**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71.52607 * 0.5.\nAnswer: -35.763035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2132, 2131, 2134, 2141, 2152, 2167?\nAnswer: 2186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from innninnnnnnninnnnnnn. What is prob of sequence ii?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/24 and -103\/10236.\nAnswer: 20472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 214208 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 5.095662ms?\nAnswer: 5095.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79536334.\nAnswer: 2, 39768167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaz when three letters picked without replacement from {z: 2, m: 5, c: 3, a: 6, s: 2}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) + (-12)\/7. Let k = -107\/270 + 8\/27. Which is the second biggest value? (a) k (b) z (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2009098 + 0.2?\nAnswer: -2009097.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8133831 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 + -147. Suppose 2*f - 3*g - 1575 = 0, n*f - 3*g + 3159 = 7*f. Is 70 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 4\/10 - 546\/(-15). Suppose 5*q - u = 2*q. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 10.97. Let q = x + -1.03. Which is the closest to q? (a) -2\/3 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -108. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61178.\nAnswer: 2, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let g(m) = -274*m - 16. Let j(n) = -g(n) - 12*z(n). Let r be j(6). What is r rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -238 - -239. Let c(n) = -1. Let l(s) be the third derivative of s**2 + 0*s**4 + 0*s + 0 + 1\/30*s**5 + 1\/3*s**3. What is j*l(a) + 3*c(a)?\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3\/2 - 4957725*r**2\/2 - 6*r + 9915450 = 0.\nAnswer: -2, 2, 1652575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 591.9 and -1.69388.\nAnswer: -1002.607572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/10, -2.1, -1100 in decreasing order.\nAnswer: 19\/10, -2.1, -1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -15. Let w = -4 - k. Let j = 2.713 - -0.287. Which is the second biggest value? (a) w (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -7*z**5\/5 - z**4\/6 - z**3\/6 + 5*z. Let o(x) = -2*x**3 + 2*x**2 - 2*x + 1. Let v be o(1). Does 9 divide n(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zszs when four letters picked without replacement from {z: 5, s: 15}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q - 2795 = 189*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -92 (b) 6716 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951531.\nAnswer: 3, 7, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 3*a - 5*u - 30, 4*a + 6 = 2*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2631194 to the power of 1\/2, to the nearest integer?\nAnswer: 1622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*s + 19*s + 11*s)*(3 - 1 + 1 - 2) to l*s + d and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (111\/(-108))\/(-2*2\/8) and -89\/78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -27*o - 203 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b - 6. Let o be c(4). Suppose 0 = -f - t + 4, 5*f - f + o*t = 24. Let i be (-2)\/8 + 26\/f. Solve i*j - 8 = -4*p - 1, 0 = -4*p + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*x + 13776 + 3281. Let u = 470 + x. Calculate the remainder when 16 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 10*v**2 - v. What is the units digit of k(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 44 = -5*h. Calculate the remainder when 42 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*k = b - 93, -3*b + 5*k + 48 = 0. Solve 9 = -3*h + i, 3*i + b = -h - 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -10. What is the remainder when (-2)\/5 + 1468\/20 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000011110011010001 (base 2) to base 8.\nAnswer: 6036321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)\/c**(-5\/3))\/(c**(1\/4)\/c**(-6))*((((c**(-6)*c)\/c*c)\/c)\/(c*c\/(c\/((c\/(c*c*c*c**3))\/c))))\/(c**(-1))**(-1\/5) assuming c is positive.\nAnswer: c**(-2549\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 432086*a - 432084*a + 116 for a.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30387.6 + -30388. Sort g, -0.8, 7, -3.\nAnswer: -3, -0.8, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*x - 1. Solve -g = -x + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 2*h**2 - 4832*h + 9660*h - 4828*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 355298 and 37760?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxt when three letters picked without replacement from {h: 1, t: 1, i: 1, j: 1, x: 1, k: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100565 divided by 6?\nAnswer: 100565\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14199*-562.7.\nAnswer: -7989777.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11731*a**2 - 11704*a**2 - 18*a**4 - 4*a + 23440*a**2 + 3*a**3 as h*a**4 + c*a + f + i*a**2 + b*a**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 + 9 - 4*i - 2*i + 2*i + 17*i**2 - 10*i**2. Let v(k) = k**3 - 43*k**2 + 2*k - 39*k**2 + 79*k**2 - 4. What is -4*j(y) - 9*v(y)?\nAnswer: -y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = -n + 17, 2*n - 4*s = -26. Let h = 0 - n. Find f such that 1\/2*f**2 - 1\/4*f**h + 1\/4*f - 1\/2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 207\/560 + -5\/16. Let q(n) be the first derivative of -2\/21*n**3 + 0*n - 1\/14*n**4 + 1\/7*n**2 + v*n**5 + 2. Factor q(y).\nAnswer: 2*y*(y - 1)**2*(y + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4*(g*g**(-2\/9))\/g)\/((g\/g**(1\/5))\/(g**(-2\/11)\/g)) assuming g is positive.\nAnswer: g**(889\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -250\/7. Let x = 166 - 166.3. Which is the closest to w? (a) 0.5 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - 2\/(-4). Let l = -49631\/13 - -3820. Find the common denominator of l and (-195)\/(-9) + -2 + p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/3, -6, -1, -2, 0.027.\nAnswer: -6, -2, -4\/3, -1, 0.027, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 654257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3773165 - -2?\nAnswer: -3773163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8585230339 + -0.14711?\nAnswer: 8585230338.85289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10941\/8 + -1378. Find the common denominator of b and (-3)\/(-6) - (-122)\/32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2012 divided by -4\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 + 8*l**2 - 19 + (l + 2*l - 2*l)*(-l + 1 - 1) + 0*l + 0*l - 2*l**2 - 3*l**2 + 1 - 1.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1845173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((25*c - 17*c + 13*c)*(0 + 1 + 0) - c - 1 + 1 + c + 2*c - c)*(13*c**2 + 4*c**2 - 7*c**2) in the form m*c**2 + g*c + n*c**3 + h and give n.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7862623 is divided by 57.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/3*(-4)\/8. Suppose -z + 0*z + 11 = 2*b, i = -3*z + 2*b + 1. Suppose -5*j - 115 = -3*a - 15, -107 = -z*a - 2*j. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/67 + 155\/1407. What is the closest to 0.2 in 10, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -83, -346, -753, -1304?\nAnswer: -1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87754345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*a**2 - 81*a**2 + 64*a + 44*a**2 + a to g + i*a + y*a**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.865 + -0.065. Let f = x - 19.8. Which is the closest to 2? (a) -8 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 - 299. Let d = -137 - -140. Solve n - b = -d*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**3\/f))\/(f\/f**(-1\/4))*f\/(f*f**(-2\/27))*(f\/(f*f\/(((f*f*f\/(f\/(((f*f*f\/f**(-6\/11))\/f)\/f))*f)\/f*f)\/f)*f))\/f)**23 assuming f is positive.\nAnswer: f**(-17227\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3212057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9954\/13 not equal to -767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 6593?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10*o - 692 = 15*o, -4*h + 900 = -o. Let t = h - 169. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.9 - 8.6. Which is the third smallest value? (a) -0.2 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249434976865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 - 3*w + 6 - 40 + 9*w**2 + 8*w**2.\nAnswer: 17*w**2 - 3*w - 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16462 (base 7) in base 9?\nAnswer: 6401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 3\/5, -20\/9, -2\/3 in descending order.\nAnswer: 3, 3\/5, -2\/3, -20\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1236*u = -1251*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 8. Let g be 7*(-8 - (-9 + 0)). Suppose g*p - 33 = u*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19072 - 328?\nAnswer: -1939a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3 = -27. Solve 3*j - h = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 313652c?\nAnswer: 313652b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2367 + -409483\/173. Is 0 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q. Let c be w(-3). Let f(h) = -42*h + 60*h**2 + c*h + 1 + 19*h. Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/210 and 67\/252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -17 + 3 + (-15 - -4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4089, 4076, 4043, 3990, 3917?\n\"Answer: -10*l**2 + 17*l + 4082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/884 and 18\/1547.\nAnswer: 6188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.132.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252354 is divided by 126004?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.158 + 0.042. Suppose 1 = 5*q - 14. Suppose 4 + 5 = -q*z + 3*w, 2*z = -2*w + 10. Which is the second smallest value? (a) -0.5 (b) z (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4 - 2*l**3 = 0. What is l?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(-3*(-1 + (sqrt(2299) + sqrt(2299) + sqrt(2299) + 1)*2))**2*-2.\nAnswer: 14256*sqrt(19) + 8938618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -0.1. Is v < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49734372.\nAnswer: 2, 3, 23, 367, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**4\/24 + 2*c**3 + 6*c**2. Let x be 3*-1*-2*1. Does 6 divide t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49759887 is divided by 366?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32540.\nAnswer: 2, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119 and -36.3875.\nAnswer: 4330.1125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200437.\nAnswer: 7, 171491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 123695 < 494775\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.054 + -122.946. Let t = 219708.063 - 219831. Let a = t - y. Round a to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-3)\/3*-1*(-3 - -268)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*f + 8 - 7 + 43, 6*h - 93 = -4*f + 37 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173463*c**2 + 180818*c**2 + 169414*c**2.\nAnswer: 523695*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + 13 + 5 + 28 + -40 + -17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -14, -38, -82, -152, -254?\nAnswer: -394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4) + (-225)\/(-6). Suppose -y = z - 190. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/2)\/j**(2\/7)*((j*j\/j**(-2))\/j)**11 assuming j is positive.\nAnswer: j**(479\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88958276.\nAnswer: 2, 11, 2021779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 160001, 319983, 479965, 639947?\n\"Answer: 159982*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/5*(-5 + 115). Let a = n - 6. Let f = a + -53. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let r = -1.03 + 0.53. What is the nearest to v in r, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let a be 5\/((-10)\/4)*z. Find the second derivative of 5*w - 3*w - 3*w + a*w**5 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58\/17 - 413\/136. Put 0.89, n, -1, -3, 2 in decreasing order.\nAnswer: 2, 0.89, n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31 and 22301745.0448.\nAnswer: 22301776.0448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-20)*60\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659 a factor of 142742794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, l: 1, z: 1, u: 4}. What is prob of sequence vz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65861694 to the nearest integer?\nAnswer: 8116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 20 = 9*u. Find the second derivative of -16*s + 0 + 0 + 2*s**u + 14*s wrt s.\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9, n: 10}. What is prob of picking 2 n and 1 j?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -4*i**2 - 3*i - 4. Calculate n(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*q - 21*q = 330. Let l(d) = -d**3 - 3*d**2 - d - 52. Is l(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i - 8 = -16*i. Let x be 6\/(-15) - (-855)\/31000. Let l = x - 2\/775. What is the fourth smallest value in 1\/5, i, -16, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -652 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1190 or -3892?\nAnswer: -3892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 60 - 60 - 26*x**2 as m*x**2 + c*x + h and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 - 210*a**2 + 9455*a - 59640 = 0 for a.\nAnswer: -71, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -664*v**2 + 6641*v - 18. Determine j(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 - 119 + 9*a.\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/11 - 593180\/(-220)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**3 - 4*w**2 - 2*w. Let t = 6 - 8. Let a be f(t). Suppose -2*q = k - 9, 3*k = -a*q - 15 + 42. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -506714 - -506776. Let p(a) = 23*a**2 - 3*a - 2. Let f be p(5). What is the greatest common factor of f and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-938))\/(54\/7). Let j = c - -445\/21708. Let t = j + -3113\/1620. Find the common denominator of -89\/2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 160\/3*b**3 + 5\/42*b**7 + 0*b**2 + 0 - 60*b**4 + 97\/4*b**5 - 3*b**6 - 21*b. Factor a(c).\nAnswer: 5*c*(c - 8)**2*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = a + 5, 2*r + 4*a + 20 = -3*r. Let i = 1\/18 - -13\/9. Find m, given that -i*m**4 - 1\/2*m**5 + 0*m - 3\/2*m**3 + r - 1\/2*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - (-109 - -201)) + 83.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*j = j + 24, -o - 4*j = 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6815779 to the power of 1\/2, to the nearest integer?\nAnswer: 2611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10) - 1\/(-15)*-6. What is the second smallest value in 0, j, -2\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, w: 3, y: 1, x: 1, n: 1}. Give prob of sequence ywfn.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjpypyyy. What is prob of sequence yjyp?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49058 is divided by 1001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 13. Suppose 5*u = 3*b + 133, -43 = -2*u + 2*b + d. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115133292 divided by 6\nAnswer: 19188882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13056197669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.722 and 0.275?\nAnswer: -0.47355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r**2 - r. Let n be x(-3). Suppose 2*t + 0*i - i - 16 = 0, 4*t = -4*i + 44. What is the remainder when 2\/6*-1*n is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 24*m**2 + 2*m - 2. Let t be r(-2). Let v = 97 + -154. Let a = v + t. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from {d: 4, e: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1077*q**2 + 114*q - 6. Let j(m) = -453416*m**2 + 48013*m - 2527. Let l(o) = 2527*d(o) - 6*j(o). Let a(w) = 8*w. What is l(a(v))?\nAnswer: -69312*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1699.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 3 + 6*p**3 - 6*p**2 - 5*p**3 + 2*p. Let q be z(5). Solve 3*x - 18 = 2*c + c, -3*c - q = -2*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*u**2 - 548*u**2 - 71*u**3 + 374*u**3 wrt u.\nAnswer: 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 786, 764, 756, 768, 806?\n\"Answer: i**3 + i**2 - 32*i + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*5\/10 + 19 - 18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -28. Let y(m) = -m**3 - m**2 + m + 9. Give y(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -509817968*i - 146611581 wrt i?\nAnswer: -509817968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216943764 minus 0.3?\nAnswer: 5216943763.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 + 2*b**4 + b**3 - b**2 + 16*b + 69 + 6*b - 39 in the form a*b**3 + m + k*b**4 + x*b**2 + g*b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 36 = 2*k - d, 6*d - 7 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(104) - ((sqrt(104)*-2 + sqrt(104))*-1 - sqrt(104)))\/((sqrt(32) - sqrt(32)*-3)\/sqrt(4)) + -4)*2)**2 + -3.\nAnswer: -8*sqrt(13) + 245\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1144 - 1151. Let u(r) = 13*r**3 - 4*r - 7. Let k(f) = 6*f**3 - 2*f - 3. Give x*k(s) + 3*u(s).\nAnswer: -3*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35706493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 12?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 196*b**3 - 2*b**2 + b + 489 wrt b.\nAnswer: 1176*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from 1.3345016796.\nAnswer: -2.6654983204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*s**2 + 303*s**2 + 26*s**3 + 6*s**3 + 299*s**2 - 927*s**2.\nAnswer: 32*s**3 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 - 630*p**2 + 31929*p + 66402 = 0. Calculate p.\nAnswer: -2, 93, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 21223914\/13 and 1632610 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) 2\/7 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*d - 732. Suppose p - d = -p. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n + 5*n**3 - 28*n**3 - 1 - 5*n + 6*n. Let c be 4\/(-6) + 1\/(-3). Is h(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -7*l**3\/3 + 18*l - 10450. Let c(q) = 16*q**2. Calculate o(c(b)).\nAnswer: -1792*b**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3050002406.\nAnswer: 2, 11, 138636473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 110224 and 111859 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/5 + 3 - -1. Let o be ((-2)\/(-2))\/((-3)\/6). Put o, w, -4 in descending order.\nAnswer: w, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 12*l. Let x be g(5). Suppose 5*f - x = -4*b - b, f = -4*b + 48. Suppose -b*k = -16*k + 12. Put -5, k, 4, 6 in decreasing order.\nAnswer: 6, 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493043546 to the power of 1\/2, to the nearest integer?\nAnswer: 22205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/3*(77 + -4).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 29501*x**2 + 147*x**3 + 106*x**3 + 29531*x**2 wrt x?\nAnswer: 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 11*l - 22. Let o be g(-7). Let a(c) = 5 + 2*c - 2 + o. Give a(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - ((0 + sqrt(76) - sqrt(76)) + 5)) - ((2 + sqrt(76))*-4 + sqrt(76)))**2 - ((1*sqrt(76) + 0 + -6*1*sqrt(76))**2 + -1).\nAnswer: 10 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-3))\/(-7))\/2*4080\/(-272).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - v**2 + 1. Let h(s) = -39*s**3 + 7*s**2 - 1. Let j(r) = h(r) - 3*p(r). What is the third derivative of j(d) wrt d?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 708320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*d + 8 - 8 + 2 - 2.\nAnswer: 155*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 8. Let o be 1728\/180*(c\/(-3))\/(-1). Suppose -25 = m - o. What is the remainder when m is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + (-15 - (-11 - -5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w**2 - 7*w**2 - 133*w + 154*w + 9*w**2.\nAnswer: 16*w**2 + 21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5610)\/(-264) + 1*5\/(-4). Suppose -3*f - 3*y - 13 = -4*y, -4*f - 14 = 2*y. Is f bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287603424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -0.12.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 13324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -y - 8 + 3, 0 = 2*y + 3*i - 2. Calculate the lowest common multiple of y and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 287 and 26.\nAnswer: 7462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**3 + 1. Let d(r) = -r + 3. Let z be d(2). Let i be v(z). Let x be 51 - 9\/6*-2. What is the highest common factor of i and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -550 + 322. Let g = -425\/2 - n. Calculate the common denominator of -55\/7 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = 2*r - 6120. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -1844?\nAnswer: 17\/1844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*n - 930, 4*g + 926 - 14 = 4*n. Let q be -12 + 10 + (0 - (g + 0)). Suppose -5*h = 4 - q. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 + -18. Suppose -4*m + 17 = z. Solve q + 6 = m*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20143, 20045, 19901, 19729, 19547?\n\"Answer: 3*a**3 - 41*a**2 + 4*a + 20177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0528 - -0.0128. Let c(s) = -s**3 - 10*s**2 - 10*s - 11. Let d be c(-9). Is f less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let m(l) = 161*l**3 - 115*l**2. What is -115*j(v) - m(v)?\nAnswer: -161*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.05, -0.1, 3, -1\/7?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by -75.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1735*l**4 + l**3 + 1887*l**2 + 16171812*l + 2 wrt l?\nAnswer: -20820*l**2 + 6*l + 3774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 35\/3847729 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - p - 14 = 0, z - 1 = -3*p - 3. Suppose -3*q + 5*k - z = 0, 6*k - 5*k = 5. Solve -4*f + q = -5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 + (-4 - -2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 5*r**2 + 4*r**2)*(-5*r**2 + 5*r**2 + 2*r**2)*(-2*r - 6*r + 4*r).\nAnswer: 16*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 700234135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 6*h**2 + 7*h. Let i be r(7). Solve 25 = -5*a - i*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m**2 - 7*m - 10. Let z(q) = 991 + 90*q - q**2 - 988 - 88*q. Calculate -6*n(r) - 21*z(r).\nAnswer: -3*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = -1518*w + 1552*w. Sort 1, 5, -2, w in descending order.\nAnswer: 5, 1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2336413 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20660 - 19319.7. Round u to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b - 2*b**2 + 3*b**2 - 1 - 1. Let i be a(7). Suppose 4*q**2 - 2*q**4 - 3*q**5 - 3*q**i + 0*q**4 - 2*q**4 + 6*q**3 = 0. What is q?\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/3*-1*(-670)\/111220.\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -60039052 > -60039051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2 - 60*h - 2*h**2 + 64*h to k*h**2 + t*h + y and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p - 48 = -223 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 12 + -12 + 5 - (-1 - -23)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13272316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67781 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v. Let l(g) be the second derivative of -g**3\/6 + g**2\/2 - 24*g. Let m(t) = 3*k(t) + 6*l(t). Give m(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)\/t)**(-48)*t**16\/(t\/t**13) assuming t is positive.\nAnswer: t**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-272)\/(-48) - (-12)\/3)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2428277 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q - 443. Give p(-22).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -354173 divided by -1.\nAnswer: 354173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g + 235. Give x(-43).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -36?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2564 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5150877 weeks to days.\nAnswer: 3.6056139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - k. Let r(m) = -5*m**2 + 3*m + 9. Let w(u) = -5*o(u) - r(u). List the prime factors of w(-5).\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5367 and 672.\nAnswer: 1202208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -27\/2*w**2 + 1\/7*w**3 + 1\/210*w**5 - 1\/21*w**4 + 0 + 24*w. Let o(y) be the first derivative of i(y). What is m in o(m) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -1)*-1 + -1. Let z(u) = -u + 4. What is the remainder when 9 is divided by z(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 6\/200769547?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1606234 - 2?\nAnswer: 1606232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.8 - -0.8. Let x = 0.1 + -0.06. What is the biggest value in x, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 226\/4 + (-510)\/204.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 - -365249597\nAnswer: 365249596.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5\/3 (b) -4 (c) 3\/5 (d) 0.027 (e) -8056\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -130880 divided by -1\nAnswer: 130880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*c + 162*c = p + 3*p + 24, -c - p + 24 = 0 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 112\/193 smaller than -31\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 184 = -2*s. Calculate the common denominator of s and (2*2 - 1)*10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 3*x**2 + 95*x - 68. Let m be q(11). Solve -8 = -s - 2*p - m, 2*s - 3*p - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) - (-1036)\/6. Suppose 0 = 3*t - r - 20. What is the units digit of ((-7)\/(-14))\/(2\/t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4\/705, 1, -5, 3?\nAnswer: 4\/705","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2398*r - 21075. Give p(-9).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3199, -12070, -26611, -46822, -72703, -104254?\nAnswer: -141475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = 4*j, 0 = 3*o - j - 3 + 2. Let i(g) = g**2 - 2*g - 6. Let h be i(o). Is 14 a factor of (3*6)\/(h\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/182039 and -45\/3484.\nAnswer: 728156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56 - -32. Let h be (120\/28 - 4) + j\/(-14). Suppose h*s - 170 = 18. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -620.76525 to the nearest ten.\nAnswer: -620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 854 + 655. Let h = k + -4199. What is h rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2251 is divided by 281.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, -6, -2.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z = -2*s + 2, 4*s - 12 = 0. Let u(t) = 4*t**2 - t + 2. Let b be u(-2). Solve -5*c = -z*h - 25, -h + 4*c = -2*h + b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 17. Suppose -3*d - 4 = -v - 7, 0 = -4*d + 2*v + 6. Suppose 5*k + 134 = 7*k. What is the remainder when k is divided by u(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0518 + 604.9.\nAnswer: 604.9518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4 + k**3 + 394*k**2 - 238503*k.\nAnswer: 24*k**2 + 6*k + 788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/180*9\/78.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-66)\/24*(-2 - -22). Let m be (4488\/y)\/12 + 4 + 3. Suppose -2\/5*f**3 + m*f - 2\/5 + 1\/5*f**5 + 4\/5*f**2 - 2\/5*f**4 = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 5*b**2 - 9. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzs. Give prob of picking 1 z and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-2*10\/(-20). Suppose 0 = -a - s*z, 13 - 35 = -5*a + z. Solve 10 = a*c - 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 16 + 8. Suppose 0 = -j*c + 6886182 - 37286182. What is c rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n. Let w(x) = x - x - x + n. Let a(j) = j - j - 3*j. What is a(w(u))?\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 36. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/382 and -11\/4.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*q**2 - 3549*q + 84023 wrt q?\nAnswer: 40*q - 3549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-70)\/(-4) + (-357)\/(-238). Solve 13*j + 42 = d*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8915 and -0.01?\nAnswer: -89.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11229, -152, -2, -5.\nAnswer: -11229, -152, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - 9.9. Let k = -1.06 + -23.44. Let q = k + 25. Which is the third smallest value? (a) -1 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**4\/4 + 5*q**3\/3 - 7*q**2\/2 + q - 19. Let v be m(3). What are the prime factors of ((-846)\/(-3))\/(v - (-6 - -2))?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, k: 6}. Give prob of sequence kkzz.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19825844 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 21186*g + 190598. Calculate d(-9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 264. Calculate d(0).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 24*n + 29*n + 100 - 64*n. Let q be c(9). Solve 3*r - 16 = -q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 12677872?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 36. Solve 4*w = c*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -4*u - 18, u = 50*b - 45*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/1)\/((-18)\/24). Let u be (-3)\/(-12) + (-190)\/n. What are the prime factors of (-3*2)\/((-18)\/u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -50?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**5 + 695*z**4 - 29890*z**3 + 466480*z**2 - 2568480*z + 2131200 = 0. Calculate z.\nAnswer: 1, 12, 40, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhseyehheeheeeehhe. What is prob of picking 2 h and 1 y?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*b - 224 + 712 = 390*b, -2*b = u + 2*b - 36 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**4\/6 + l**3\/3 + 7*l**2\/2 - l. Does 22 divide b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 366 + -364. Suppose 412 = 3*h - 2*r - 39, -4*r - 306 = -j*h. Calculate the remainder when h is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-28) + 32\/7 + 0. Let o(t) be the first derivative of -1\/2*t**2 - 1\/4*t**m + 2*t - 4\/3*t**3 + 1. Give o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1257371.1s?\nAnswer: 349.26975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -446\/25419?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53\/4 in 1\/5, -0.3, 0.5, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 21 - 51. Let a be (324\/y)\/(3\/(-15)). Let q = a - -29. What are the prime factors of q?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r + 3*x - 2 = 0, 4*r - 4*x = 0. Let o(n) = -5*n**r + 3*n**2 + 19*n - 19*n. Let u(l) = l**2. What is o(u(b))?\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -3. Solve 2*o + 9 = j*f - o, -4*o = 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 28 = -5*c + 12, -4*a + 17 = -c. Suppose -c*f - f = -264. Does 22 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.7 - -0.7. Let z = -35 - -50. Let v = z - 10. What is the second smallest value in 3\/2, y, v?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**2 + 0*w**2 - 331 + 242 - 5*w**4 wrt w.\nAnswer: -20*w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -20. Suppose -u - 2 = 4*q - 23, -l = -q - 3*u. Solve -t + q*t = 4*o + 12, -t - 5*o = 15 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, a: 2}. Give prob of sequence yy.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*p + 14*p + 12. Find the third derivative of -6*v**6 + 51*v**p - 63*v**2 + 19*v**6 wrt v.\nAnswer: 1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/((-42)\/7))\/((10*24\/(-15))\/(-6))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20752*f*m**4 - 6*f*m**2 + f*m + 3*m**2 + 21*m wrt m?\nAnswer: -498048*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1068150331?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(10\/11)\/b)**43 assuming b is positive.\nAnswer: b**(-43\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2335700 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 + 4*g**2 - g + 5. Suppose 3*c = -7*c - 40. Let m be z(c). Let v(f) = -393*f + 7*f**2 + m*f. Let i(x) = 2*x. Calculate i(v(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 343*l - 3. Let u(c) = 27*c - 1. Determine b(i) - 2*u(i).\nAnswer: 289*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1026 - -2116. Suppose 5*j - d = -5*v - 0*j, 5*v + 3*j = 1092. Does 35 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-165)*5*27\/15\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, -95, 0.5, 5, 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 49419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*l**2*w**2 + l**2*w - 41*l*w**5 - 1362*l*w wrt w?\nAnswer: -138*l**2 - 820*l*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:32 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 136*x - 129 + 141.\nAnswer: 136*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-23))**(2\/9)\/(y**5*y**38))**28 assuming y is positive.\nAnswer: y**(-12124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u + 9 = 0. Let j = 58 + u. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h + 1. Calculate b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3700607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p - 2*p + 3*p + d = 143, 13*p - 9*p - 2*d = 50 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 4) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 - 4675*a - 4679*a + 9335*a to the form q + m*a and give q.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 6*y**2 + y. Let n(t) = t**3 + 6*t**2. Let l(x) = -6*n(x) - 5*q(x). Let s be l(-5). Which is the smallest value? (a) -0.2 (b) 0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, 40, 112, 178, 238, 292, 340?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**2\/7 + 627*n\/7 - 28542\/7 = 0?\nAnswer: 67, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 3*r. Let j be c(5). Let f = 3 - j. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57613.\nAnswer: 17, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1044 (base 5) to base 9.\nAnswer: -175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2 (c) 2 (d) -1 (e) 0.041 (f) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29300?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 696538 a multiple of 873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) - sqrt(42)\/sqrt(6)) - (sqrt(35)*-1)\/sqrt(5))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*(-28)\/(-21). What is the third derivative of 3 + 10*y**3 + 4*y**i - 5 + 2 wrt y?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6 + 2 + 0*k - 3 - 6*k. Is z(9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.339102278 - -463.388408982. Let y = 461.727506 - c. Let s = 4 + y. What is s rounded to 7 dps?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42282*u**5 - 53730*u**4 + 17276*u**3 + 26652*u**2 - 2034*u + 38 = 0. What is u?\nAnswer: -1, 1\/27, 19\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*t - 39. Let u(a) = -a + 6. Let b be u(-15). Let p = 43 - b. Calculate the least common multiple of p and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.764 - -12.664. What is the closest to -21 in -2\/7, 2\/7, o, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15\/28 - 3\/14. Let n(m) = -m + 5. Let s be n(5). Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17694 = -586*m - 405*m + 52379 for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 6. Let j = 0.185 + -0.101. Let l = j - 0.084. What is the closest to -0.1 in b, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6165 + -18218\/3. Let h = w + -91. What is the common denominator of 111\/10 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 105\/(-25) - 1. Let r = 780 + -783. Let g = 0 + 0. Which is the closest to g? (a) r (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23*160\/(-464) + (27 - 64 - -29).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from qqrwwcawwaqaswsaqw?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*v, -v = 5*x - 39. Let h(w) = x*w**2 + 22*w + w**2 - 9 - 11*w. Let b be -1 - -2*(-12)\/4. Let d(t) = 4*t**2 + 5*t - 4. Give b*d(y) + 3*h(y).\nAnswer: -y**2 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26031 divided by -26031.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/(1\/4). Let c be ((1 - -2) + h)*1. Suppose -2*v + 40 = 4*d, -3*v + d = -c*v + 37. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a factor of 55114026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -31548, -0.05, 1.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**5\/30 + 2*k**2. Let q(x) = -2*x**2. Calculate a(q(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 189271122 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2122*s**4 - 164 wrt s.\nAnswer: 8488*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39 and 312.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-7)\/(-21))*815\/56235?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/2 - 38*i**4 - 759*i**3 - 1406*i**2 - 1369*i\/2.\nAnswer: -i*(i + 1)**2*(i + 37)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5853 rounded to 2 dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11996 or 10722?\nAnswer: 11996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2048000 rounded to the nearest 100000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.46 (b) -2 (c) -0.17 (d) -0.4 (e) -0.21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b - 27. Let x be l(9). Let z = -19 + x. Is (-78)\/(-9)*(z - (-5 - -4)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.5 (b) -1\/5 (c) -523\/383 (d) -3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 19*g**3 - 6*g**2 - 2. Let x(h) = 10*h**3 - 3*h**2 - 1. Suppose 248*f = 246*f + 2*q - 2, 3*f + 4*q = -24. Calculate f*l(n) + 7*x(n).\nAnswer: -6*n**3 + 3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 5. Let j be x(3). Solve o - a + 4 = 3, j*o = 3*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/160 and 63\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 4*t**2 + 6*t + 9. Let w be a(-4). Suppose -35 = -w*y + 44*y. Suppose 0*h - h = 3*d + 11, 5*h - 21 = 4*d. Solve 0 = -3*s - y + h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f - 1. Let t(w) = 3*w. Determine -5*s(u) + t(u).\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 + -53. Suppose -3*l = j*k - 747, k - 265 = -4*l - 1. List the prime factors of k.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s - s - 1052*s**5 - 221*s**5 + 90*s**5 + 109*s**2 wrt s.\nAnswer: -70980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 592*r**3 - 14*r**2 + 22*r. What is the tens digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*o + 121134 = -238*o. Does 193 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3711, 3701, 3677, 3633, 3563?\n\"Answer: -v**3 - v**2 + 3713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 258 + 4a97?\nAnswer: 5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-27)\/24 + -4)\/(300\/720) and 91\/1275.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.996 - -0.004. Let m = 0.46928 + -0.06928. Which is the closest to -0.3? (a) h (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(448)*-1 - sqrt(448))*-1 + sqrt(448))**2 + ((sqrt(448) + 0 + sqrt(448) + sqrt(448) - sqrt(448))*3)**2) + -3.\nAnswer: -120963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220110 (base 3) in base 16?\nAnswer: 56d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 3*z**2\/2 - 6*z + 1. Find the first derivative of o(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-12)*72*(-10)\/1180. Let m be 2\/(-3)*(-6)\/4. Is m >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (0 + 12)*(-105)\/252*-424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let o(w) = w**3 - 6*w**2 - 3*w + 6. Let z be o(7). Let i(g) = -30*g - 4 + z*g + 4. Give i(k(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 22262 (base 11) to base 2\nAnswer: 111110111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 3046*k + 3049*k - 14 = 0, k + 1 - 2 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 461028990*d**2*m**3 + d**2*m + 286*d**2 + 16*d*m**2 + 28*d*m - m**3 - 3 wrt m.\nAnswer: 2766173940*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 3038.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j + 2. Calculate v(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 2*k + 0*k)*(0*k + 3*k - 4*k) - 212*k - 4*k**2 + 212*k + 0*k**2 - k**2 + 4*k**2 + (3 - 3 + k**2)*(-2 + 5 - 2) to b + c*k**2 + x*k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 8*j**2 + 3*j + 5. Suppose 4*a - 29 = -5. Is x(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(165\/(-6)) + 14\/44. Let w(b) = -b**3 + 3*b**2 + 6*b - 6. Let j be w(4). Let t be (j\/(-28))\/((-1)\/2). Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1151.9 + -1152. Which is the nearest to -0.014? (a) 0.1 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 41506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = -v - 3*g, 0 = -v - 2*g + 10. Suppose 0 = -v*l + 5*l + 143. Suppose 563 = l*k - 1472. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3025 + 1326 = -168*k + 151 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(-4))\/(140\/1017520).\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 72*v - 392. Suppose -2*a + a = 2. Put a, 4, v in descending order.\nAnswer: v, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 489 and 1851.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 600 - 533.9. Let m = 64.3975 - d. Let o = m + 1.7. Round o to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7432588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -325 + 329. What is the second biggest value in 3, x, -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-4))\/((-96)\/623 + (275\/77)\/25)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*m**2 + h**2 - 217*h*m**2 + 988*h*m + 9*m**2 wrt m?\nAnswer: 4*h**2 - 434*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102 from -41305.\nAnswer: -41203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + 5\/(-2))\/((-3)\/(-18)). Suppose c*q + 12 = 108. What is the remainder when q is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4979 is divided by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (33 - 7) + (1 + -8 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 613 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*g + 8, 3*q - 24 + 8 = -4*g. Which is smaller: 1\/1556 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 - 225. Let o(p) = -29*p - 190. Is 10 a factor of o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 508755 and 2074155.\nAnswer: 26964015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3311301 - -1013?\nAnswer: 3312320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3985e7 (base 15) to base 11.\nAnswer: 1617223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3382 + n**2 - 4*n + 2*n**3 - 2*n**3 + 3516 + 0*n**3 + n**4 as f*n + g*n**2 + p*n**4 + l*n**3 + o and give o.\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4*u + 20, u + 5*c = -2*u - 9. Let w = -7 - -21. What is the highest common factor of u and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2515, -3.\nAnswer: -3, 2\/7, 2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -c + 7, 5*t - 8*c + 4*c + 2 = 0. Let y(j) = -j + j**3 - 8*j - 6 - 8*j**t + 13 + 1. What is y(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 4, q: 2, v: 3}. Give prob of picking 2 v and 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = -2. Let n be (-1)\/((0 + u)*1). What is the remainder when 35 is divided by (12\/10)\/(n\/10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + 3 - 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*q + 52 = -113*q. What is the closest to 0.2 in -2\/7, q, -20?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2.642, -0.4, 1\/3, 0 in descending order.\nAnswer: 1\/3, 0, -0.4, -2.642, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79651, -159222, -238769, -318292, -397791?\nAnswer: -477266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*q - 14*q + 11*q + (0 + 3 + 1)*(2*q + 1 - 1) + (-2 - 2 - 2)*(-2*q + q + 3*q) - 2 + 2 - q.\nAnswer: 29*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 248 = 30*a - 1067 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/4 (b) 2 (c) -2 (d) -6.6 (e) -0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -12*k + 28. Let p(c) = -2*c**3 + 7*c**2 - 5*c. Let w(d) = -3*d**3 + 10*d**2 - 7*d. Let q = 11 - 16. What is k*p(a) + q*w(a)?\nAnswer: a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/77 and 73\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170674 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/3 - 133*o. Let l(h) = 18*h. Determine l(u(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102423302 + 1?\nAnswer: -102423301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279 and 1139002?\nAnswer: 10251018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 858079063.439 - 858079440.438999379. Let r = z + 377. What is r rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 129. Let w(y) = -y - 9. Let z be w(-7). Let u = 94 + -88. Put u, z, v in increasing order.\nAnswer: z, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 3*g + 6. Let b be i(4). Solve -6*t + b*t = 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178221 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o. Let z(m) = -2*m**2 - 189*m. Calculate z(p(u)).\nAnswer: -18*u**2 - 567*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 n, and 1 f when four letters picked without replacement from xxnnbfxxxbbnfxn.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**3 + 33707748*a + 186381736.\nAnswer: 6*a**2 + 33707748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 984 and 492?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*c + c. What is the common denominator of 49 and c + (-51)\/21 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 554 - 144 = 0. What are the prime factors of a?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1033662 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {c: 1, d: 2, q: 2, l: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4171?\nAnswer: 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1710 - -2.29.\nAnswer: -1707.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 9*u**2 - 3*u - 7*u**2 + 5*u**2 + 4*u**2 - 2*u**2 + (0*u + 0*u + u)*(4*u - 6*u + 3*u) to the form w*u**2 + g*u + j and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3334272 is divided by 839.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 + 9*g - 12. Let i be h(3). Solve 4*j + i = 9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12305204 (base 6) to base 5.\nAnswer: 100211412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44289 to the power of 1\/2, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -27*r + 3176. Is h(75) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((-5 + ((-3*sqrt(5) + 1)*-1 + -3)*-1)**2 + 5).\nAnswer: 36*sqrt(5) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30424 + 300?\nAnswer: 31124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/(-3))\/(4\/(-6)). Calculate the lowest common multiple of 8 and 92\/6 + h - (-4)\/6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/15 + 2\/2. Let m(x) be the first derivative of f*x**5 + 0*x + 0*x**2 + 1\/9*x**3 - 1\/6*x**4 + 1. Factor m(k).\nAnswer: k**2*(k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n**2 + n + 4. Let b be o(0). What is the common denominator of 151\/6 and 298\/24 - b\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*x + 16 = 0, x + 8 = -3*x. Suppose 1 = m*f - 3. Calculate the lowest common multiple of f and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**2. Let u(o) = 262*o**2. What is u(l(i))?\nAnswer: 26200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-32)*q)\/(q*(((q\/(q\/q**4*q))\/q)\/q)\/q)*(q*q*q**(11\/5)*q)\/(q*(q\/(q\/q**4))\/q) assuming q is positive.\nAnswer: q**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -14 - (82 - 77).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 767.7988 minutes?\nAnswer: 46067.928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.19097*-0.007.\nAnswer: -0.00833679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, 0.1, 5, 1\/6 in descending order.\nAnswer: 5, 1\/6, 0.1, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 49*h = 45*h + 48, -5*h = -2*w + 39. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704044 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 4*d**3 - d**3 + (6 - 1 - 3)*(3*d**3 + d**3 - 5*d**3) + 2*d**3 - 5*d**3 + 0*d**3 + 13*d**3 + 174*d**3 + 41*d**3.\nAnswer: 225*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 35. Let r be q(0). Let b = r + 42. Suppose 0 = 5*j - 7*j + 4*u - 6, 5*u = 3*j + 6. Solve -j + b = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n - 25*n + 72*n - 339696. What are the prime factors of n?\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-5)\/2))\/((-81)\/(15795\/(-78)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146300 by -1540.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -11 (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54035169?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(6 + -3)\/(-33). Let w = 8\/33 + h. Let p = 22\/5 - 24\/5. What is the nearest to p in w, -1\/10, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -28*a**3 + 57*a - 25. Let d(l) = 10*l**3 - 20*l + 9. Give -11*d(w) - 4*k(w).\nAnswer: 2*w**3 - 8*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/5)\/w*w*w**(-9)*w)**1 assuming w is positive.\nAnswer: w**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19454 is divided by 1609.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -18745.\nAnswer: -18743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/15))\/h)\/(h\/(h*h\/h**(-3\/7)))*h**(2\/9)*h\/((h*h**0)\/h) assuming h is positive.\nAnswer: h**(793\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) - 3*sqrt(245)) + 4 + (2 + sqrt(80) - sqrt(5)) + -4*sqrt(15)\/sqrt(3))**2.\nAnswer: -180*sqrt(5) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158558.7629887 - 158559. Let c = r - -0.237. What is c rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w**4\/2 - 1857*w**3\/2 - 60927*w**2 + 1571130*w + 32850900 = 0.\nAnswer: -690\/17, -15, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302 or 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 7*b - 96. Let i be (20\/5)\/(84\/(-16) - -5). Let s be j(i). Calculate the greatest common divisor of s and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 340 and 2.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.024, 1, 0.042 in ascending order.\nAnswer: -0.4, 0.024, 0.042, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14880520 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-4845)\/(-30)*72\/153\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (329\/(-329))\/(3\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 3*x - 8*x + 11776361*x**3 - 11776359*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2048 and 0.62?\nAnswer: 1269.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -11*o**3 - 4*o**2 - 7*o + 66. Let z(b) = -19*b**3 + 2*b**2 - 12*b + 131. Let p(m) = -7*g(m) + 4*z(m). Calculate p(-36).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9949, -39807, -89579, -159271, -248889, -358439, -487927?\n\"Answer: -h**3 - 9951*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away 20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 404557 times -8?\nAnswer: -3236456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1486561?\nAnswer: -2\/1486561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1102*u - o = -1107*u + 16, -5*o - 8 - 12 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z - 6. Let c be f(4). Suppose c*q - q = 4. Suppose -q*v + 144 = -108. What is the highest common factor of 9 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/5)*k*k*k)\/((k**7\/k)\/k*k)*k**(-6)*k**(4\/9))**(-1\/11))**(-2\/65) assuming k is positive.\nAnswer: k**(-698\/32175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 518, 4146, 13998, 33188, 64830?\nAnswer: 112038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 21 = -2*p - 35, 5*u + 5*p + 20 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:16 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78004875 is divided by 380?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - r + 6*r = 23, -3*c = 2*r - 5. Let z(f) = f**2 + 7*f - 3. Let y be z(-6). Is (-146 + c)*3\/y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 10804?\nAnswer: 313316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 + 87\/(-2). Let k = z - -65. Suppose k*s - 26*s + 400 = 0. Calculate the highest common divisor of s and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 3. Suppose 2*l + h*l - 4 = 0. Let r be l*2\/(-1) + 0. Is -2 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1438 and 21071014.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260 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 w(o) = -41*o**3 + 9*o**2 - 37. Let f(d) = 9 + 3*d**3 + 2*d**3 - 2*d**2 + 6*d**3 - d**3. Let s(y) = 9*f(y) + 2*w(y). Differentiate s(z) wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 3*c**2 + 14*c + 10. Calculate a(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a + 74*a**2 - 18*a**2 + 27*a**3 - 26*a**3 + 5*a + 0*a to y*a**3 + k + q*a + w*a**2 and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175.9 - 178.9. What is the closest to 1\/5 in x, -1\/7, -4\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-3.146.\nAnswer: 0.3146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 4:31 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s**3 + 5*s**3 - 24*s**3)*(7*s**2 - 7*s**2 + 4*s**2).\nAnswer: -144*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7751\/27 + -287. Let y(n) be the first derivative of 3 - 4\/9*n + b*n**3 - 1\/9*n**2. Find t such that y(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Suppose -m = -0*m. Let v(r) = m*r + 0*r + 2*r. What is i(v(f))?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -416 * -1\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*m - 11 = -34, -3*v = -m - 41. Which is greater: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - l + 3, 2*p - 6*p - 3*l = -9. Suppose p = 8*m - m - 28. Let x be -25*((5 - m) + -2). What is the highest common divisor of 225 and x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 22396310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460070.5 meters to millimeters.\nAnswer: 460070500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 + -82. Let g = q + -4. Solve 4*h = -g*w - 0*w + 1, w = -2*h - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 18. Let d = 354\/55 - 117\/11. Let u(y) = -y**2 + 32*y - 249. Let n be u(18). Put d, n, 3\/4, m in decreasing order.\nAnswer: n, 3\/4, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - b + 2 = a, 3*b = -2*a - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1328699503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 35*f + 11801. Is s(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1356)\/26 - 34\/(-221). Let g = w - -57. Solve 0 = a - g*m + 5 + 16, 12 = 3*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-8)*i)\/i*i)\/i*i**(1\/3)\/i*(i**0)**(-11\/7) assuming i is positive.\nAnswer: i**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 168*n**2. Let x(g) = -14*g. Give u(x(j)).\nAnswer: 32928*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 3\/2)*0. Is 17\/16 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006130993 to 4 decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-568*x**2 + 443*x**2 + 1700*x**2)*(-2 + 4 - 5)*(0 - 4*x + 1 + 7*x) + (-2*x**2 + 2*x**2 + x**2)*(-1 + 2*x + 1).\nAnswer: -14173*x**3 - 4725*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -159, -237?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - 15?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 59799153 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21123 + 47769 = -2*z. Let w = z - -17811. Is w\/(-9) + (0 - 4\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/51 in -13\/5, 6.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 + 195*p**2 + 226*p + 1178. What is c(50)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 1, r: 1, f: 11, a: 2, b: 3}. What is prob of sequence baf?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915083773.\nAnswer: 23, 661, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 18*s + 3*s**2 - 9*s as k*s + m + o*s**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 4?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1483451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1*v)\/((v**(2\/19)*v)\/v)*(v\/((v\/((v\/(v*v\/((v**(1\/3)\/v)\/v)*v*v))\/v))\/v))**(-3\/7) assuming v is positive.\nAnswer: v**(74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*s + 182, 11*s - 14*s + 5*m = -278. Let w = 298 - s. What are the prime factors of w?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 21. Let o(d) = d + 26 - f + 9. Calculate the remainder when 108 is divided by o(14).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*o**2 + 20*o - 20*o - 12*o**2 + (842 - 395 - 614)*(3 - 3 - 2*o**2) to g + v*o + f*o**2 and give f.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5 (b) -17.7 (c) 1 (d) -18473 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 12 = -4*g. Suppose -x = -3*x + g. Solve 4*s + 5*l = 37, x*s + l + 2*l - 30 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61\/3, 2\/5, 4, 3, 522.4, 0.3 in decreasing order.\nAnswer: 522.4, 61\/3, 4, 3, 2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456564800?\nAnswer: 2, 5, 67, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2249 + 1.2249. Let u = -0.03 + 0. Let r = -2.03 - u. Which is the smallest value? (a) p (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 2249?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a - 5. Let z(b) = -6*b + 4. Suppose 2*y + 2 = -2*j + 22, 3*y - 5*j = -10. Let s be 14\/4*(-180)\/(-105). Let d(q) = s*z(q) + y*c(q). Determine d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 8, 2, 44 in ascending order.\nAnswer: -6, 0, 2, 8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/3555 or 1?\nAnswer: -4\/3555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -779, -1175?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - 4*v + 4*v)*(3*v + 16*v - 109*v)*(6*v - 3*v - 2*v).\nAnswer: 90*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1780 to the nearest ten.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2060340, 2060544, 2060746, 2060946, 2061144, 2061340?\nAnswer: 2061534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 9 - (-59 + 52)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*(sqrt(13) - (2 + sqrt(1300)) - (1*sqrt(52)\/sqrt(4))**2).\nAnswer: -36*sqrt(13) - 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27705, -27352, -26999, -26646, -26293?\nAnswer: -25940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 10. Suppose 5*g + 25 = 0, 4*x + 0*g + 77 = 3*g. Let m be k(x). Let z = m + 188. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-25)\/(625\/930) + 22?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -454139, -453930, -453721, -453512, -453303, -453094?\nAnswer: -452885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/12879 - -17360902\/64395. Let t = -2577\/10 + i. What is the common denominator of 22\/12*8\/(-3) and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260754 is divided by 52129?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623*((-2)\/3 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1319*y**3 - 273541*y**3 - 55723*y**3 - 137130*y**3.\nAnswer: -467713*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 24 + 38 = 0. Solve 4*z - 4*x = g*z + 12, -4*x = 5*z + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r - 107*r - 6*r + 4305 = 0 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 0.06, -0.52 in decreasing order.\nAnswer: 5, 3, 0.06, -0.52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 432 = -3*b + 5*b, d - 4*b = -144. Let q = -14918 - -103420\/7. Let m = d - q. Which is greater: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-9)\/((-72)\/(-16)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 100189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5523874*r - 11047762*r + 5523874*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-3) - -2)*-6. Let y(h) be the second derivative of h**3\/2 - h**2 - h. Let k(r) = 188*r - 84*r - 88*r + 2 - 13. What is o*k(c) - 11*y(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 31*c + 52. Suppose 5*x + 10 = 3*a - 13, 21 = a - 5*x. Let r(t) = 42*t + 1. Calculate the remainder when r(a) is divided by l(30).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-3)\/((-9)\/(-21)). What is the remainder when -1 - (79\/3)\/(n\/21) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Find the third derivative of -3*i**2 - 2*i**2 - 3*i**6 + 3*i**h wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117.9 - -118. Let g = -53.1 - -53. Let i = 6.8 + -6. What is the closest to s in 5, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(4\/(-25))\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433182, 433719, 434256, 434793?\nAnswer: 435330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384843 divided by -77?\nAnswer: -43959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-4) + -2*(-1)\/8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241894 take away -9?\nAnswer: -1241885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765663308.\nAnswer: 2, 269, 711583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67.32855ng?\nAnswer: 0.00006732855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 283\nAnswer: -75\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4773139 is divided by 1193282.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 2*r + 0*r)*(-11*r - 26*r + 60*r) + (-2 + r**2 + 2)*(36 - 10 + 18) + r**2 + 2*r**2 - 2*r**2 as b*r + d + u*r**2 and give b.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8319*b**2. Let q(m) = -34*m**2 - 11*m. Let o(f) = 31*f**2 + 10*f. Let i(w) = 11*o(w) + 10*q(w). What is c(i(u))?\nAnswer: -8319*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 510 - 31. Is d < 478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8276*p - 110. Let i(y) = -y + 54. Give 2*i(m) + k(m).\nAnswer: 8274*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18317984.83 + -3\nAnswer: 18317981.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**6\/960 + f**4\/64 + f**3\/24 - 10*f**2 - 27. Let c(z) be the second derivative of b(z). Factor c(o).\nAnswer: -(o - 2)*(o + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Let l(f) = i + 12*f**2 - f - f - 13*f**2 + 3*f. Give l(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226454490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkjhhhjhlllhhihwh. What is prob of sequence hl?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/3 (b) -1\/7 (c) 2 (d) 3 (e) -0.1 (f) 12.127 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2\/2 - 2*y + 91. Give b(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 202 - ((-75)\/(-5))\/(-3). Calculate the highest common divisor of g and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-24)*192\/320. Let k = -8.89 + -0.11. Which is the biggest value? (a) 4 (b) k (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/4)\/d**0*(d**1*d)\/(d*(d\/(d*d\/d**1))\/d) assuming d is positive.\nAnswer: d**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15 (b) -0.4 (c) 119.6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 9633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Suppose -4*i + 10 = -2*u, -c*u + i + 1 = 2. Suppose -p - 7 = 5*w - 54, 3*p = 4*w - 30. Solve w + u = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/7))**(-35)*(q*q**(-2\/11))\/(q*q**4) assuming q is positive.\nAnswer: q**(-321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + 0.2. Let x = 14 + -14. Let u be 1\/(-1 - (0 + x)). Which is the closest to u? (a) r (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-459)*-17*24*(-35)\/(-10)\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 33 = -2*s. Let j(f) = 2*f**3 - 2*f**2 - f + 2. Let k be j(2). Suppose 3*w - 5*w + k = 0. Solve -m + x = -w*x - s, -m = -4*x - 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/9 (c) -707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zeqe when four letters picked without replacement from eeeqzqzz.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from uigoy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 139, 158, 177, 196, 215, 234?\n\"Answer: 19*x + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -3, -4, 9, 15, 3 in decreasing order.\nAnswer: 15, 9, 3, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98872 is divided by 805.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4926*r + 4910*r = 16. Which is bigger: r or -1\/3070?\nAnswer: -1\/3070","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -0.5 (c) 0.5 (d) -1033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - 0.1. Let k = -0.5014 - z. What is k rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*o = -75, 0*t = t - o - 18. Suppose -2*l - l = -t. Sort 3, -2, l, -3 in descending order.\nAnswer: l, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or 22.66?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109.8 + -99. Let i = j - 10.79975. Round i to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 493812 (base 10) to base 5\nAnswer: 111300222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 27 - 8*u - 2*u**2 - 13)*(7 - 7 + 2*u).\nAnswer: -4*u**3 - 16*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 49*t**2 + 45*t + 688. What is v(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**3 + 6*j**2 - j. Let l(w) = 8*w**3 + 6*w**2 - 2*w. Let f(r) = -4*l(r) + 5*n(r). Factor f(k).\nAnswer: 3*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55262 is divided by 940?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4 and (-69)\/48 + (-3)\/(-4)*4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/663 and 37\/471835.\nAnswer: 1415505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/21 + 4\/(-14))\/(583\/(-8162)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1126 (base 9) to base 7.\nAnswer: -2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/42 - 10\/(-6). Let a be (-775)\/(-30) - s\/(-12). Suppose a = 3*x - 22. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/7 + 344549*x\/7 + 3790160\/7.\nAnswer: -(x - 344560)*(x + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**3 + 604*s**2 - 2944*s + 3504 = 0?\nAnswer: 2, 3, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 24*c + 26. Determine k(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*b - 17 + 16 = 0, -4*b - 1 = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*k - 256 + 3*k**2 + 256 to u*k**2 + n*k + w and give n.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 166.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u - 15. Suppose 0*c - c + 2 = -2*q, 11 = -u*q + 4*c. Let t = -11 + 16. Solve -q + t = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 less than 1254360696?\nAnswer: 1254360426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(1 + 2) - 14266. Is 8\/(-6)*a\/30 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1725 = -1217*z - 881*z + 2023*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 4:48 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.55 - 99.55. Let s = 98.999984 + p. What is s rounded to six dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(204)*-1)\/sqrt(12).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - r**2 - r + 890. Let n be s(0). Suppose -n = -12*i + 118. What are the prime factors of i?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12814.7 - -12815. Let d = 0.3 - 0.2. What is the second smallest value in 2\/3, 5, g, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45316\/55 - 824. What is the closest to 1 in -3\/5, v, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6925020?\nAnswer: 2, 3, 5, 211, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/4)\/(1\/(-168)*35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2. Let s(g) = 940*g. What is s(j(i))?\nAnswer: -1880*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 9. Let s = y - -4. Suppose x - 2*x + 2 = 0. Put x, 1, s in decreasing order.\nAnswer: x, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*q**4 - q**3*s + 1158*q**2*s - 70*q**2 + 165*q*s - 3*q + s - 3599 wrt q?\nAnswer: 48*q**2 - 6*q*s + 2316*s - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92 and 37152?\nAnswer: 854496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11278*k - 11281*k + 9 = 2*g, -2*k - 18 = -5*k - 5*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.27 - 0.17361.\nAnswer: 20.09639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -58075*n + 348535. What is o(6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 785195773 by -9939187.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*(n\/(n\/(n\/(n*n**(-1\/4)*n))))\/n)))\/n)**36*(n\/(n**(-2\/7)\/n))**27*((n*n\/((n*n**(2\/7)\/n)\/n)*n*n)**(-12))**(-31) assuming n is positive.\nAnswer: n**(12267\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00092286347 rounded to six dps?\nAnswer: -0.000923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = 9. Let z = -1018 - -1017. Let s(t) = t**2 + 7*t + 6. Let h be s(-5). Sort h, o, z in ascending order.\nAnswer: h, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13\/11 + 15\/22. Let n = -16 - -10. What is the third biggest value in n, -3, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2102220122 (base 3) to base 5.\nAnswer: 3014200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5920*f**2 - 13*f**3 - 2012*f**2 - 1894*f**2 - 2014*f**2 + 2*f**3.\nAnswer: -11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50728 is divided by 1537.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j**3 + j. Let h(k) be the first derivative of k**3\/3 - 8*k**2 - k - 3. Let w be h(16). What is f(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -5b1624d?\nAnswer: -5b16253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001354 rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 552?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -107*b + 1. Let j be f(-4). Suppose j = 5*z + 9. Suppose 3*k + 3*m - z = -0*m, -164 = -5*k + 3*m. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.9606 to two dps.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 0.3, -5\/2, -0.1 in ascending order.\nAnswer: -5\/2, -0.1, 0.3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 13453 + 13479 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -385*y - 27*y - 412. Is -35\/178 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 250063, 250145, 250227, 250309, 250391?\n\"Answer: 82*m + 249981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-58*h**2 + 113*h**2 - 63*h**2).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25600 is divided by 220?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -168 - 2852224?\nAnswer: -2852403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -328*h*y + 1525897*h + 529*y wrt y.\nAnswer: -328*h + 529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((4\/(-6))\/1)\/((-11)\/33). Suppose 3*r - 5*g = 93, -i*g = -42*r + 38*r + 110. Calculate the least common multiple of 112 and r.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/15 - ((-4 - -9) + -8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -5*t. Let n be 5 - 3*(1 - t). What is the second derivative of 4*q**2 + 5*q**2 - 3*q**n + q - 3*q**2 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 54*n - 65*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 10:21 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 114\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -1\/120*g**6 + 0*g + 0 + 0*g**4 + 5*g**2 + 0*g**5 + 0*g**3. Factor k(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -8\/3, -241, -30, -2\/23, 0.3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 93\/4, -3, 0, -2\/337, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (2 - -1))*-5. Is 8 a factor of (-4 - -5)*(p + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6656)\/(-64) + -105)*(2 + 2 + -46)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.2.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4155360 + 41595511\/10. Suppose 3*d + 5*l - 12606 = 0, 2*d - 13443 = -3*l - 5040. Let u = f - d. Calculate the common denominator of u and -85\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -282 in decreasing order.\nAnswer: 3, -2, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/3 - p**4\/3 - 7*p**3 + 13*p**2\/3 + 80*p\/3 + 16 = 0.\nAnswer: -4, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*n - 23916 = -457*n + 5*n - 1121*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -433.9415 - -434. Let i = j + -0.0585. Which is the smallest value? (a) -0.6 (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 + -0.2. Let g = 0.09 - 0.02. Let t = q + g. Sort 1, t, 0.3 in decreasing order.\nAnswer: 1, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3024\/(-210))\/24)\/3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 - 4*z**2 - 7*z + 194. Let p(x) = -3*x**3 - 3*x**2 - 7*x + 193. Let q(f) = -4*p(f) + 3*u(f). Find the first derivative of q(i) wrt i.\nAnswer: 9*i**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 5:02 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 2949926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**(-18\/7)\/((g**(-30)*g*g*g)\/(g\/((g*g\/(g\/((g*g*g**(-1\/14)\/g)\/g)*g))\/g)*g)) assuming g is positive.\nAnswer: g**(673\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-110))\/((-5)\/(75\/(-2)))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - s + 3. Suppose -3*m - y = -m, 3*m - 4*y = 11. Let o be v(m). Solve -2*b = -2*q, 0 = -0*b - 2*b + o*q for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10525232 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -253*o**3 - 34*o**2 wrt o?\nAnswer: -1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -20.979287 in ascending order.\nAnswer: -20.979287, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -54\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36289, 36295, 36301, 36307, 36313, 36319?\n\"Answer: 6*a + 36283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/((o\/o**(-10))\/o))\/((o**11*o)\/o*o))**(-4))**13 assuming o is positive.\nAnswer: o**1092","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l + 9. Let n be o(-7). Let v(s) = -s**3 - 6*s**2 + 5*s - 10. Let b be v(-7). Suppose -b*h + 4 = 12. What is the nearest to -0.3 in n, h, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*s + 7*s**3 - 92*s - 18*s - 9*s**3 + 2 + 53*s + 3795*s**2 to r*s**3 + v + m*s + h*s**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**3 - 200*v**2 - 1081*v - 2086. Give r(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a658 + 3c8?\nAnswer: aa53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 252*f - 40 = -278 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61 by -1.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 8:04 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f + 220 - 79 - 78 + 58*f**2 - 70. Let k be x(-1). Is k at least as big as 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20220*r**4\/7 + 213014*r**3\/7 + 613656*r**2\/7 + 270510*r\/7 + 400\/7 = 0 for r.\nAnswer: -5, -8\/15, -1\/674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2605 - -2610. Let j be (-2)\/(-2) - (0 + -6). Let w = 10 - j. Solve w = -b*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 544119558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.223079km?\nAnswer: 223.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**5\/7 - 1962*a**4\/7 - 3993*a**3\/7 + 37476*a**2\/7 - 55140*a\/7 + 23616\/7 = 0.\nAnswer: -6, 1, 2, 656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -300 + 933. Let n = 735.2 - d. Round n to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 2*s + 1. Let f = -559 - -558. Give l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(228) + (sqrt(228) - (sqrt(228)*1 + sqrt(228))) + sqrt(228)))\/sqrt(12).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338.356 - 368.3. Let b = r - -30. Let x = b + -0.057. Round x to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 70, 54, 48, 58, 90?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**2 - h - 12. Let w(g) = g**3 + g**2 - 2*g + 4. Let k be w(0). Let j be c(k). What is the highest common factor of 32 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3283964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 10. Let j be b(0). Let i = 17 + j. Calculate the remainder when 25 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*j = 42 - 9, -2*p = -j - 13. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o - 23 = -163 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1531249?\nAnswer: 137, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1783 - 695. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24656200 to the power of 1\/2, to the nearest integer?\nAnswer: 4966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 1 - 1 + 6. Let v(x) = -30*x - 94. Let n be v(-4). Suppose 0 = -5*p + 5*o + 20, -3*p - 8*o = -4*o - n. Determine u(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 16. Suppose 3*u = -3*m - 3, -7*m + 2*m = -4*u - 31. Solve -w*f + g + 15 = 0, f + 5*g - m = 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-3)\/(-2 - (3 - 1))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 171\/45 + (-2)\/(-10). Solve -2*p + 13 = v - k*p, 0 = v + p + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 8. Let k = z - -12. Let q be 7\/2 - (1 + 1). What is the smallest value in q, 3\/7, k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -9*d + 3. Let w(j) = -17*j + 6. Calculate -6*w(c) + 11*x(c).\nAnswer: 3*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/6 + (-3798)\/(-54)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*q - 70 = 0, -5*q + 21 = 4*l - 92. Find the first derivative of -13 - l + 58*t**2 - 12 - 5 wrt t.\nAnswer: 116*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + -2*(-3 + (2 + sqrt(1008) + sqrt(1008))*4*3)))**2*-3.\nAnswer: -111542448 - 2045952*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 297 - -54. Let g = a - 351. Factor 3\/7*n**3 - 3\/7*n**2 + g*n + 0.\nAnswer: 3*n**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 27*m**2 + m - 1. Let i be q(1). Differentiate 13*s + 16 - i*s + s**4 + 14*s wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 10, -4 in descending order.\nAnswer: 14, 10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11020 (base 3) in base 14?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 57*a - 76. Give o(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41538973451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4659 is divided by 1544?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 221260, 221247, 221238, 221233?\n\"Answer: 2*r**2 - 19*r + 221277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2 - -6)\/1. Suppose -501 = -5*s - 11. Suppose t*m = s - 98. Solve 0 = a - m*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/252 and 125\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g - 2*g + 3*g + (3 + 2 - 4)*(0*g + g - 3*g) - 3*g - 3*g + 5*g + 0*g - 6*g + 17*g)*(1 - 1 + 1) in the form h*g + u and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 23) + (-13 - (-5 - -2)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*t = -3013 + 274 - 3969. What is the remainder when 533 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7865416057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from zzzdzdzzdzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1242\/(-72))\/((-42)\/(-16)) + 7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 2830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*s - 15 = 0, -4*m + 5*s - s = -20. Suppose 65 = 5*z + m*b, b = -z + 2*b + 7. Suppose 20 + z = 2*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + k = -18, 18 = 5*r - k - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {p: 3, j: 6, d: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 3:47 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -29*j**3 + 3*j**2 + 12*j + 4. What are the prime factors of d(-3)?\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*((-1925)\/(-10))\/7. What is the greatest common factor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2. Suppose l + l - 4*s = 0, -3*l = 6*s. Let b(o) be the third derivative of l*o + 0 + 0*o**3 + 0*o**4 + 4*o**2 + 1\/30*o**5. Determine z(b(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9686582.1702758 + 9686532. Let u = j - 670.8297581. Let g = 721 + u. Round g to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v + 88. What is k(-6)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 53*w - 193. Let q be a(4). Let j be -2*9\/(-4)*2. Suppose -j = 2*f - q. Solve s = 1 - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -262*v - 104. Let d be o(-5). Suppose 5*t + 2060 = 6*y - y, 3*y + 3*t - d = 0. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 32*f**2 - 35*f - 64. Let j be x(-31). Let y be (-3)\/j*2*(-2 + 4). Suppose -9 = 2*q + 1. Which is the closest to 0.1? (a) q (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let r(t) = -1 + 4 + 12*t - 5. Give r(o(b)).\nAnswer: -24*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1710)\/4*(20\/20 - (0 + 3)). Solve 860*b - x*b = 30 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1462 + -1448. Calculate the remainder when 78 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 6380574.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + -1*(-1 + sqrt(1331) + (0 + 0 + sqrt(1331) - sqrt(1331)) + 5) + 5)**2.\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*o - 24. Let s be (-6)\/o - (-8)\/(-10). Let c = -18 - -20. Sort 2\/9, c, s in descending order.\nAnswer: c, 2\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25419297.2 - -2.2015?\nAnswer: 25419299.4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2375 = 4*r - 2*b - 2207, -100 = 2*r + 3*b for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*w + 10*w. Let h(t) = -2*t**2 + 0*t**2 - 3*t**2 + t**3 + 5 - 2*t + t**2. Does 4 divide h(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p. Let r = 421 - 418. Determine y, given that 2*y**r + p*y + 2\/3*y**2 + 2*y**4 + 0 + 2\/3*y**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8114.768 milligrams in grams?\nAnswer: 8.114768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130259 is divided by 32375?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1470 by -147.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 less than -9152202170?\nAnswer: -9152202017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twwv. Give prob of picking 3 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-5))\/((-3)\/15). Let o be ((-4)\/k)\/((-8)\/60). Solve -10 = -5*w, -5*c - 35 = -o*w - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 14) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -80766439.\nAnswer: -80766438.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 3, g: 1, k: 3, e: 3, o: 2}. Give prob of picking 1 z, 1 x, and 1 o.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19550, -19558, -19564, -19568, -19570?\nAnswer: -19570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -21962628 divided by -12644\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 220.0835 meters?\nAnswer: 0.2200835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 3:03 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3392801 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6, -4*z - 19*h + 16*h = -26. What is the least common multiple of 166 and z?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260 + -351. Let c(p) = -2*p**2 - 2*p + 91. Let g be c(9). Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1033265 (b) 2\/23 (c) -6.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*x + 47 - 13*x - 6*x + 55 + 7*x**2 - 6*x**2 as g + b*x**2 + a*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3.2 (c) 0.34 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*x - 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 12. Let v(i) = -2. Let u(l) = -l + 1. Determine m*u(s) + v(s).\nAnswer: -4*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 3, c: 4}. Give prob of sequence cfc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1503.675619 to 1 decimal place.\nAnswer: 1503.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 2*x**2 + 2*x + 3. Let o be 10 + 3 - 9 - (-1 + 7). Give g(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 2*m**4 + 2*m**4 + (3 - 3 - 1)*(4*m + 0*m - 2*m)*(-3*m**2 - m**3 + 0*m**2 + 4*m**2) in the form k*m**4 + a + u*m**2 + v*m + h*m**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -766 divided by -12?\nAnswer: 383\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -3 + (-75)\/(-5) - -1. Let m be (-4)\/(-6) + (-40)\/a + 13. Suppose 4*i - m = -2*n + 11, -5*i + 25 = 0. Which is greater: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78864 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 608 = 3*d - 181, -d + 5*w + 259 = 0. Let q = -1845\/7 + d. What is the closest to q in -5, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 - 3*y - 1. Calculate the remainder when 5\/(-20)*-3 + ((-4908)\/16)\/(-3) is divided by w(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 119*a**5\/30 + a**3\/6 + 3*a**2. Is h(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -84, 37, 206, 423?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 108223*h - 53 = 108228*h, -11*l - h = -303 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668072622.\nAnswer: 2, 3, 7, 151, 105341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/28289745 and -17\/22110.\nAnswer: 56579490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.8539 + 2.1461. Which is the third biggest value? (a) 4 (b) -4 (c) 84 (d) i (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:49 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -2 (c) 31\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4\/4 + 102*d**3 + 7491*d**2\/4 - 65055*d + 368775 = 0.\nAnswer: -33, 10, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*z + 269*z = -38256. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 0, -m + 3*m = 4*l + 8. Let i(b) = b - 2. Determine i(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 195463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 12*w**2 + 11*w + 1. Let j be q(11). Let c be -10*(-2)\/4 - j. Suppose 5*g + c = 89. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(1\/4)*o)\/(o*(((o**(-8)*o)\/o)\/o*o)\/o))**(-36))**19 assuming o is positive.\nAnswer: o**(-6327)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34) - sqrt(34)*-2*6)*-5)\/(sqrt(200)*-1 + (sqrt(2) - sqrt(4)\/sqrt(2)*-2) + sqrt(2)))**2.\nAnswer: 71825\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjfjjjjfj. Give prob of picking 2 j.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 55*v**3 + v. Let b be l(1). Is -5 + (-6)\/(-3) + b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(5 - 1)*-4. Suppose -4*i - 3*k = 96, q*i + k = -69 + 21. Let b be 2\/6 + i\/(-9). Solve b*v + 20 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -66 + 167. What is the remainder when a is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/115741 or -3961?\nAnswer: -1\/115741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2653*g**2\/2 + 169*g - 157. Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3809, 7805, 11987, 16355?\n\"Answer: 93*q**2 + 3717*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 4*o - 7. Let l be v(-6). Suppose 4*q = -j + 3*j + 8, -l*q = -j - 19. What is the greatest common factor of 66 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1440 - -1461. Suppose -3*w = -4*n - 827, -2*w + 3*n = -3*w + 267. Calculate the greatest common factor of w and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140544 minus -0.12?\nAnswer: 140544.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/14)\/(o*o*o**(-40))*(o**(4\/27))**36)**33 assuming o is positive.\nAnswer: o**(19987\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**3 + 372*j**2 - 360*j - 736 = 0.\nAnswer: -1, 2, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 519?\nAnswer: 6228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + 8)*18\/24. Let q be (6\/t)\/(14\/63). Suppose 2*c - 2 = 2*p, 0 = -2*c + 3*c - 4*p + 2. Solve -q = c*b + b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 196327613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - 4*j**3 + 5*j**3 + (1 - 2*j**2 - 1)*(-2*j - 3*j + 3*j))*(-54 - 77 - 59).\nAnswer: -380*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*v**4 + 198*v**3 + v**2 - 6*v + 29210633.\nAnswer: -320*v**3 + 594*v**2 + 2*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51534.\nAnswer: 2, 3, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 3*s**2 - 4*s**2)*(0 + 7 - 2).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 22. Is 1\/3 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 3*(sqrt(3) + 1) - ((sqrt(3) + -4)*5 + sqrt(3)).\nAnswer: -2*sqrt(3) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*q**3 + 0 + 0*q + 0*q**2.\nAnswer: 3*q**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 22 = 3*g + 2, 5*b + 30 = 5*g. Let u = 7 + -5. Let j(r) = r + u*r - g*r. Let w(o) = o. Determine j(w(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -2\/7 (b) -5 (c) 0 (d) 4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {h: 6, e: 4}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sseeseeeeessssessese. Give prob of picking 1 s and 2 e.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 13 = 2*b, -10*b + 5*q = -8*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -48+0.21\nAnswer: -47.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 + 61394*k**2 + 1595030*k + 4232598.\nAnswer: 2*(k + 3)*(k + 23)*(k + 30671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/52 - (38\/8 - 0). Let r be ((-44)\/33)\/(p\/(-3) - 2). Let z(u) = u**3 - 3*u**2 - 4*u. Let k be z(4). Put r, k, 3 in ascending order.\nAnswer: k, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2248 + 72005\/32. Find the common denominator of v and -113\/1760.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(102)\/sqrt(3))\/sqrt(2) - sqrt(612)*3*6)**2.\nAnswer: 213248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 794 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m - 4*m + 0*m + (0 + 2 - 1)*(-m - 2*m + 5*m) + 2*m + 3*m - 3*m + 138*m + 8*m - 3*m + 0*m - 3*m + m + 7*m + 1 - 1 to the form w + r*m and give r.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 1377, -8\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389732221 by -2.\nAnswer: 389732221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.53 + 0.07. Let z = 2.6 - t. Which is the closest to z? (a) -6\/7 (b) 1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 25 = -3*x. Suppose x - 1 = -2*r. Let w(h) = -2*h + 2. List the prime factors of w(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/2 (b) 70702\/461 (c) -2 (d) 0 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 5\/2, 119, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) -5\/6 (c) -6 (d) 1 (e) -9 (f) 11\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 652925439*w**3 + 65547*w**2 + 4664?\nAnswer: 3917552634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53103072 divided by 26551536.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j - 30 = 5*x, 2*j - 4*x = 16. Suppose -5*y + 74 = h, -j*h + 76 = 4*y + 20. Solve -3*p = -5*n - y, 4*p = 3*n + 2*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqjjqjihqqqqq. What is prob of picking 1 q, 1 j, and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(45) + 2.\nAnswer: -2 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1372 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4602026129 to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 5*p - 9. Give l(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -83 - (-78 + -6 + 81)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2628\/78)\/6 + 3 + -8. What is the smallest value in -2\/21, w, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10580000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 53. Suppose -2*k - 16 + 20 = 0. Let c(o) = -32*o**k + 4*o**2 + 7*o**2 + 12*o**2 + 11*o**2. Give c(p(b)).\nAnswer: 18*b**4 - 636*b**2 + 5618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, -44.7 in decreasing order.\nAnswer: -2\/7, -3, -44.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4a + 1?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 2*s - 30 - 44, -l + 29 = -3*s. Let k be 1\/3*6 + l. Is 6699\/k*(-2)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 798608 and 1136?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 24*i**2 + 2*i - 12. Let w be (14\/35)\/(4\/30). Is 23 a factor of p(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1130*p + 1529 with respect to p.\nAnswer: 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7, 2, 0.05, 2\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 77*y + 1. Let x be u(28). Let p = -190 - x. Solve -1 = m + l, 0 = -m + p*m + 5*l + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**4 + 3084*j**3 - 20360*j**2 + 9408*j = 0.\nAnswer: -392, 0, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 1\/18 in decreasing order.\nAnswer: 3, 1\/18, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1732 and 6?\nAnswer: 5196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1704*h + 2067*h + 2541 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 10*h**2 + 5 + 0 + 4*h + 3*h. Does 6 divide f(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 2\/3, -2, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30*h**3 - 30*h**3 + 5*h**4 + (3 - 4 - 1)*(-2*h**4 - 2*h**4 + 2*h**4).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2. Suppose 3*b + 0 = 4*z - 6, -z + 4*b = -8. Let x(w) = 0 + z + 0 + 2*w. Calculate x(f(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**4 + 2*t**3 - 2*t**3 + (3 - 3 + 2*t**2)*(3*t**2 + t**2 - 2*t**2).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 144?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from iryiriyyyii?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - x**2 + 30*x + 7. Let l be j(0). Solve l = -2*y - 3*p, 1 = -y + p + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25)\/(-10)*(-718)\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4122 (base 10) to base 3\nAnswer: -12122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 6*d + 8. Let z(u) = u**2 - 8*u + 4. Let r be z(6). Let o(f) = -2*f**2 + 4*f - 5. Determine r*o(c) - 5*t(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(((m\/(m*(m*m*m**(-19)\/m*m)\/m))\/m)\/m))\/m))\/(m*m*m**(-21)))\/(m*m**(-6\/5)*m**(2\/31)) assuming m is positive.\nAnswer: m**(5601\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 2*h - h)*(-h - 2*h + 4*h) - 2*h**2 + 0 + 0 - 14*h**2 + 6*h**2 + 18*h**2 + (0*h - 2*h + 4*h)*(h + 2 - 2).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*j**3 + 144 - 16*j**3 + 136*j**2 + 284*j - 58*j**3 + 83*j**3 = 0. What is j?\nAnswer: -1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-3)*1113\/(-42) and 1274\/39*(-9)\/48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*(-1 + (sqrt(612) + sqrt(17) + 3)*-5))**2.\nAnswer: 17920*sqrt(17) + 337292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -4*s + 3*s - 4*x, -145 = -3*s - 5*x. Suppose -2*h + 249 = -5*v, -s = 4*h + 3*v - 530. Suppose 2*l - h - 46 = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 85.655?\nAnswer: -1627.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2. Let y(l) = -l**3 - l**2 - l + 1. Let v be y(-1). Let n(x) = 6*x - v*x - x + x. What is w(n(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 4*o + 5. Suppose 0 = -2*q - q + 15. Let a be c(q). Suppose m - 4 + 0 = a. Solve -n = -2*n - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -7 - 4) + -2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3371270 and 2380.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 6. Suppose -10*h = -8*h. Let r = 24 - 16. Suppose 3*f + r + 4 = h. Determine n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, h: 6, o: 2}. Give prob of sequence yy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1230401, -2, 2, 3, -5, -1 in decreasing order.\nAnswer: 3, 2, -1, -2, -5, -1230401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197.9, -2\/19, -2 in descending order.\nAnswer: 197.9, -2\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**5\/20 + 17*u**4\/8 - 100*u**3 + 2324*u**2. Factor d(w).\nAnswer: 3*(w - 8)*(w + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7655.27576 + -7655. What is g rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 8, 5, 0, -7?\n\"Answer: -b**2 + 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, -0.1, 2, 142\/9, -0.09, -1, -3\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.6 - 17.24. Let h = l + 3.5. What is the closest to -1 in h, 4, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**3 + 5*j**2 - 5*j - 17. Let r(k) = -18*k**3 - 16*k**2 + 16*k + 50. Let w(a) = 16*f(a) + 5*r(a). Find the first derivative of w(g) wrt g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.23 - 20.23. Let h = 28 + l. Let w = h - 8.000028. What is w rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -206*k + 224*k. Let w(l) be the third derivative of k + 11*l**2 + 1\/24*l**4 + 1\/2*l**3 + 0*l. Give w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62562, 124230, 185898, 247566, 309234, 370902?\n\"Answer: 61668*n + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 27 = 6*b. Suppose -27 - 17 = 4*n. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (16\/(-6))\/((-56)\/16800) is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/(d\/(d\/(d**(-2\/5)\/d)))*d**5\/d**(1\/2))\/((d**3*d*(d**2*d)\/d*d)\/(d**0)**(5\/2)) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**4 + 4*l**3 + 4*l - 3. Let x(f) be the second derivative of f**5\/20 + f**3\/6 + f**2\/2 + 8*f. Let j(g) = b(g) - 4*x(g). Differentiate j(w) wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/247368 and -127\/330.\nAnswer: 1236840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 15*b**8\/14 + b**4\/4 - 2*b - 28. What is the third derivative of f(o) wrt o?\nAnswer: 7200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9691 and 766?\nAnswer: -7423306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*p - 2*p + 44, 65 = -5*p - 5*d. Let g = p + 32. Suppose u = -u + 2*l + g, 4*l + 39 = 5*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 100? (a) -4\/5 (b) 0.74 (c) 0.054 (d) -6 (e) -1 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26216 divided by -904.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 121 + -248. Let c = 112.8 + s. Round c to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffrrpfffff. What is prob of sequence frrp?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 17 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9697324, -9697328, -9697332, -9697336, -9697340?\nAnswer: -9697344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 243136297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12451 - -12452. Is 2\/1447 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 28. Suppose -b = 4*b - 2*z - 20, h*z + 21 = -2*b. Factor 2\/3 + 2\/3*i**b + 4\/3*i.\nAnswer: 2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 5 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (17 - 3) + 14 + 6 + 2 + -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 0*s + 0*s)*(2 + 2 - 3)*(-17*s**2 + 6 - 9*s**2 + 25*s**2).\nAnswer: -5*s**4 + 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*d**2 - 2 + 2 + 4 - 2.\nAnswer: 47*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10475106 divided by -6\nAnswer: -1745851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 4*a - 224. Let p be w(13). Sort 0.5, 0.07, p, -0.007 in ascending order.\nAnswer: p, -0.007, 0.07, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*k = -22, -2*x + 45*k = 49*k + 24. Solve -4*n + x*g = -5*n, -3*g = -4*n - 11 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 2 + 3 + 8 + o - o + 5*o + 3*o - 3*o + o + 0*o - 5*o + 3*o + (3*o - 3*o - o)*(-2 + 2 + 2) + 5*o - 2*o - 2*o in the form n*o + r and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10334 - 434202?\nAnswer: -423313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.097, 5, -1\/3, -0.4?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1433*t - 704*t + 18225 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546 + -2 + (-4)\/(-16)*0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23395*h**3 + 33642*h**3 + 19*h**2 - 19*h**2.\nAnswer: 57037*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-20))**(-22) assuming p is positive.\nAnswer: p**440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 0. Let j be 46 - -4*(-1)\/t. Calculate the highest common factor of 66 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -89*x**2 - 748*x - 21. Determine p(-8).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2959 + 5931\/2. Let v(i) be the first derivative of -5 + 0*i**4 - i**6 + 0*i + 0*i**3 - w*i**2 + 0*i**5. What is the second derivative of v(n) wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**2\/7 - 156*d\/7 = 0.\nAnswer: 0, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 9 (c) 3\/8 (d) -0.111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t - 20*t + 11*t + 27*t - 10.\nAnswer: 32*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 10*r**2 - 8*r + 12. Let f be h(-9). Suppose -o + 38 = -2*t + 7*t, o + f*t = 28. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ece when three letters picked without replacement from {c: 1, d: 5, e: 5, k: 9}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + 0.9. Let x = -34283 - -171413\/5. Which is the closest to x? (a) o (b) 0.6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1818*l - 8976 = -1290*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 12*w**2 - 16 - w**4 + w**3 + 16*w - 9*w**3 - 3*w**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 2. Let g be j(2). Let a(y) = -22*y**2 - 44*y + 34. Let t(h) = -2*h**2 - 4*h + 3. Let l(u) = g*a(u) - 68*t(u). Factor l(i).\nAnswer: 4*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303321094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 473790749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156733?\nAnswer: 41, 89, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*f - 7628 = -2*p, -5*p + 12724 = -4*f. Is p a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621124 divided by -4?\nAnswer: -155281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 6*w**2 - 19*w + 28. Let s be v(8). Let y(z) be the second derivative of 1\/48*z**s + 0 + z + 1\/4*z**3 + 9\/8*z**2. Factor y(b).\nAnswer: (b + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (4 - 6) + -2 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f + 4. What is s(4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 55. Let x(n) = 54*n - 5. Give l(x(c)).\nAnswer: -2916*c**2 + 540*c + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -92. Let q = 61 - u. Suppose -5*a = z - 27, 0*z - 3*z + q = 4*a. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/24 - (-2349)\/6804.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4032 + -0.058105907?\nAnswer: -4032.058105907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.6 (b) 2\/5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 261 - 21 = 0. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 724, 1310, 1894, 2476, 3056, 3634?\n\"Answer: -o**2 + 589*o + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88591 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: -140 - ((-24 - 133) + 116)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 7. Let j be u(6). Suppose -t = -5*q + 76 + 4, 0 = -t - j. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6451, -6571, -6879, -7459, -8395, -9771?\nAnswer: -11671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 4*j + 2*j**2)*(j**2 + 0*j**2 + 4*j**2 + j**2 - 3*j**2 + 3*j**2 + (-2 + 2 + 2*j**2)*(1 + 2 - 2) + 12*j**2 + 13*j**2 + 15*j**2).\nAnswer: 96*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvx when four letters picked without replacement from vxvvvvxvvvvvv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)\/((i\/i**(-1\/4)*i)\/i))\/(i*i**1)**27*((i*i*i\/(((i*i*i\/(i\/(i*i\/(i\/i**(-2\/7)))*i))\/i)\/i)*i)\/((i*i**(2\/13)*i)\/i))**(6\/7) assuming i is positive.\nAnswer: i**(-141581\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 b when three letters picked without replacement from hsshssbqsnbqsqbhbn.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 5:44 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -10 - 2 - (1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 82 = -2*t, 2*t = -5*v + 3*v + 70. Let r(o) = -2*o**2 + 43*o + 133. Calculate the remainder when r(24) is divided by t\/6 - 2\/(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (0 - (-6 + 1)) + (1096 - 982)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 9*q - 12 + (33*q - 13*q + 3*q)*(-6 + 1 + 1) to the form m*q + x and give m.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(1456\/(-212)) - 6\/14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 15 = -3*a, 0 = -3*b - 3*a + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7.1*-14087363\nAnswer: -100020277.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 63, -1987, -7553, -18393, -36265?\n\"Answer: -293*z**3 + z + 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18764840 and -5.\nAnswer: -93824200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-11)*j\/(j**13\/j)*(j*j**(-2\/5))**(2\/15) assuming j is positive.\nAnswer: j**(-523\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5829*s**2 + 91*s**3 + 593*s**5 - 591*s**5 - 2568*s**2 wrt s?\nAnswer: 120*s**2 + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149715880.\nAnswer: 2, 5, 1699, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5)*(-15)\/4. Let y = 0.02 - 3.02. Let t = -2.9 - y. What is the closest to t in -3, 5\/6, z?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 4\/3, 11, 3, 0.049, 1\/7, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k**3 + 14 + 29*k**3 - 11*k**3 + 2*k**2 as y + q*k + u*k**2 + g*k**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 218 + -218.306. Let s = 0.006 + r. Which is the second smallest value? (a) -2\/3 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6 - -7 - -16) + -26)*236\/(-18) is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5355.8 - 5356. Suppose -15 = 4*c - 35. Put 3, c, -0.5, x in descending order.\nAnswer: c, 3, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - (-3)\/((-9)\/(-3)). Let h = d + 8. Solve 2*z + 3*j + 21 = -2*j, -4*z + 3*j - h = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2183.\nAnswer: 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2, 0, 14, 46, 102, 188, 310?\n\"Answer: p**3 - 5*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-605)\/(-150) + (-3)\/((-27)\/(-6)) and -107\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 0.2 (c) 0.01 (d) 1217.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 11:01 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 + 29 - (-1)\/(1\/4). Let d(w) = i*w + 53*w - 82*w. Let a(m) = 3*m**2. Determine a(d(g)).\nAnswer: 867*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -383924 (base 10) to base 5.\nAnswer: -44241144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2757136?\nAnswer: 2, 172321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1\/5, 0.2, 2\/29 in increasing order.\nAnswer: -1\/5, 0, 2\/29, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1 = 6. Let j = 24 - x. Suppose 2*b + 0 = -i + j, 0 = -b - 3*i + 2. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b**2\/5 - 7774*b\/5 + 22708 = 0 for b.\nAnswer: -4055\/12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 570051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i + 95. Determine q(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17 * -0.03\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -215 divided by -1\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 + 1.6. Round f to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 296276 divided by -17\nAnswer: -17428","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 21*v**2 + 43*v - 1751. What is the thousands digit of d(60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 31. Let d = b + 16. Calculate the remainder when (-2)\/d + (-1)\/((-8)\/202) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2420 - 2418. Which is the second smallest value? (a) -4 (b) s (c) -937\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1900) - sqrt(1900)*-1*-3) + -2*(-5*sqrt(1216) + sqrt(1216)) + 4)**2.\nAnswer: 352*sqrt(19) + 36800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1268 and 126483?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 935 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = 2*b + 72. Let o be (-66)\/b - (-2)\/(-3)*-1. Let k be 814\/(-270) + 8\/(o\/3). Is k equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25022 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -218 + 221. Let x = -336\/5 - -67. Which is the closest to 0? (a) r (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 24*w - 3*g = 24, 21 = 5*w - 4*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:20 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 13.3. What is the closest to o in -1, -4, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**4\/3 + 60*z**3 + 464*z**2 + 3520*z\/3 + 768 = 0. Calculate z.\nAnswer: -36, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 48152?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14 - 105\/(-7))*-17*-2383. Round q to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*h + 1089, 0*h - 3*h + 1086 = 3*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let s(w) = 20261074*w. Give j(s(t)).\nAnswer: -40522148*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/9 - 1460*y**4\/9 + 976*y**3\/3.\nAnswer: -2*y**3*(y - 2)*(y + 732)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 401, 410, 425, 446?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1254 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/8))**(-1\/2) assuming b is positive.\nAnswer: b**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -794 + 794 + 40*b**2. Let c(j) = 2*j**2. Give n(c(p)).\nAnswer: 160*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) 3 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 6205680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5027 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, k: 1, l: 1}. Give prob of picking 1 l and 1 g.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1506)\/(-10890) - 5\/((-750)\/(-20)). Which is smaller: p or 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 6250\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 12393?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -27*b**2 - 2*b - 1. Determine z(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3988 (base 15) to base 8.\nAnswer: -27766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*m - 4*m + 8, 0 = -3*m + 6. Suppose 0*d + d = w. Suppose -5*c = -3*o - d*c + 1764, -4*o - 2*c + 2364 = 0. What is o rounded to the nearest 10?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2593158 divided by 30153?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/(-5) + 3)\/((-2)\/(-240)). Calculate the highest common factor of u and 2048.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -7 + 5*z**2 + 0*z**3 + 1\/24*z**4 + 0*z. What is b(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**2*u*v - 176134*r**2*u - r**2*v**3 + 4*r*u + r*v + 657*u*v**3 - 2*u + 42*v**3 wrt r.\nAnswer: -2*u*v - 352268*u - 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z**2 + 24*z + 1334. Determine h(21).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 13*k**2. Let t(a) be the second derivative of a**5\/30 - 7*a**2\/2 - 8*a. Let z(h) be the first derivative of t(h). What is f(z(c))?\nAnswer: 52*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -3.582.\nAnswer: -1.4328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 3*v - 116 = 0, -4*v - 96 = -4*m. Let t = m - 12. What is the tens digit of ((-24)\/t)\/(2\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 - -115. Suppose -16 - 26 = -f*v. Suppose 2*a + 3*o - 1568 = 0, 0 = a + 4*o - v*o - 793. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203773198?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3674 (base 12) in base 5?\nAnswer: 144021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 59650, 59649, 59648, 59647, 59646, 59645?\n\"Answer: -s + 59651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f - 4. Let o(h) = -23*h + 23. Let n(c) = 4*c - 4. Let p(z) = 34*n(z) + 6*o(z). Let t be p(4). Let m(u) = 9*u + 17. What is t*m(b) - 26*g(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 249 - 247. Sort 0.07, q, -0.3, 4 in decreasing order.\nAnswer: 4, q, 0.07, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 0)*(-9*f + 7*f - 2*f) + 4*f + f - 3*f + (-1 + 4 - 5)*(-f + 2*f - 2*f) + f - 2*f + 7*f + f - f - f)*(0*f - 4*f + 5*f).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*f - 195*f + 14*f**2 + 2*f**2 - 14*f**2.\nAnswer: 2*f**2 - 138*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88653.3*0.4.\nAnswer: -35461.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.06 (b) -0.5 (c) 1 (d) 21 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**3\/3 - 8. Let p be (-4)\/(-18) + 280\/(-45). Let f(o) = -20*o**2 + 16*o**2 - 4*o**2 + 3*o**3 + 2*o. Give p*w(n) - f(n).\nAnswer: -3*n**3 + 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**4\/2 - 291*g**3\/2 + 441*g**2\/2 + 727503*g\/2 + 8823675 = 0.\nAnswer: -49, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 1 - 0 - (-31 + 18 - -30)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1416553 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/44, -1\/11, -715, -8, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 35 = -10*f. Suppose 5*v - f*v + 148 = 0. Calculate the remainder when v is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 308 + 88 = 0. Let d = k + 46. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2709 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 627*k**2 + 12*k - 13. Let x(j) = -1254*j**2 - 22*j + 24. Calculate 11*l(h) + 6*x(h).\nAnswer: -627*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2260718 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/9 - 164*f**2\/9.\nAnswer: -2*f**2*(f + 82)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-15)*u**(-10\/9)*(u*(u\/u**(1\/2)*u*u)\/u)**(-3\/8) assuming u is positive.\nAnswer: u**(-2455\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - ((26 - 10) + -13362).\nAnswer: 11, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3 + 7. Suppose -59*m + 4 = -58*m. Solve -6 - 5*n**i + 16*n - 10 - 3*n**2 + m*n**2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/(t\/((t*t**(-6))\/t))*t)*t)\/t**(1\/7)*t*(t\/t**(2\/17))\/t*t\/t**7 assuming t is positive.\nAnswer: t**(326\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2198 divide 69356037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**2 + 3*z + 3. Let v(y) = 9*y**2 - 3*y - 5. Let f(q) = 7*c(q) + 4*v(q). Calculate f(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3129, 3550, 3969, 4386?\n\"Answer: -j**2 + 424*j + 2706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, d: 4, b: 1, o: 1, f: 5}. Give prob of picking 1 d, 1 u, and 2 f.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**4\/24 + 2*t**2. Let q(i) = -2*i - 14. Let d be q(-6). Let h(c) = -3*c. What is d*h(a) - 9*n(a)?\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50112 and 1630032.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 6*i + 5. Let o be 0 - -1*(-8)\/2. Calculate a(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, c: 13}. What is prob of picking 1 i and 2 c?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2430429 and 14968.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 6*a**2 + 2*a. Let p be w(-8). Is 624 not equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1143500 to the nearest ten thousand.\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 90, 180, 306?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*0 - 20\/(-70).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1800))\/(sqrt(1089) - (sqrt(1089)*2 - sqrt(1089) - sqrt(1089) - sqrt(1089))).\nAnswer: -5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - d. Let h be u(3). Suppose 0 = 5*f - 11 - 4. Solve -f*c + 0*c = h for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48, -67, -498, -1401, -2932, -5247, -8502, -12853?\n\"Answer: -26*h**3 - 2*h**2 + 73*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2284037.6 - -751212. Let f = 1532821.59999885 + y. Let b = -4 - f. Round b to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -12267?\nAnswer: -49068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**2 - 5*b + 7. Let n(o) = -3*o**2 + 2*o + 7. Let i(t) = -t**2 + t + 1. Let m(z) = -4*i(z) + n(z). Calculate 2*d(y) - 5*m(y).\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 1. Let y(s) = 5*s**2 - 6. Let t(z) = 6*u(z) + y(z). Let i(k) = -5*k. Give i(t(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/30 + (9\/((-315)\/(-1484)))\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d28c (base 15) to base 3.\nAnswer: -100222022120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(-2\/39)))*l)\/l**0)\/(l**(-17)*l**(-16)) assuming l is positive.\nAnswer: l**(1367\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -811 (base 10) to base 2.\nAnswer: -1100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/2)*i)**(6\/13))**(1\/16) assuming i is positive.\nAnswer: i**(9\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-1)*4\/(-52)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(70) - (2*sqrt(70)*5 - sqrt(70))))\/(sqrt(810)*2 - (sqrt(10)*-1*-2 - sqrt(10))).\nAnswer: 32*sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 47*h. Let p(q) be the first derivative of q**3\/3 + 23. Determine c(p(j)).\nAnswer: 47*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/7 and -0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4564 and -0.050854.\nAnswer: 4563.949146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 494324197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + 2.71. Let y = s - 2.21. Let x = 3.83 - 3.53. What is the closest to 0.1 in 3, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 521791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 5263296?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 2*h**2 + 5*h + 6. Let z be d(-6). Let o = z - -304. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {r: 1, z: 1, l: 2, b: 2, f: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -49, 0, -5, -4, 12, 83.\nAnswer: -49, -5, -4, 0, 5, 12, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 225314, 225319, 225328, 225341?\n\"Answer: 2*t**2 - t + 225313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 486091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n - 17 + 5*n**3 + 0*n + n**3.\nAnswer: 6*n**3 - 5*n - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -4 + -12 + 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52755705 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40*w - 218*w + 3*w - 291*w)*(7 + 5 - 4) as u + r*w and give r.\nAnswer: -4368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*((sqrt(1900) - (sqrt(1900) + sqrt(1900)*1)**2) + sqrt(1900) + 5) + -4.\nAnswer: -15194 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-72)\/2)\/((-15)\/(-10)). Let h be s\/(-9)*6\/8. Determine y so that 6\/5*y + 6\/5*y**4 - 2\/5*y**5 - 4\/5*y**3 - 4\/5*y**h - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-18) + (-1 - (-4 - -3)). Factor n*w - 1\/3*w**2 + 0.\nAnswer: -w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 0.3. Let d = -2183 + 2126. Which is the closest to -0.1? (a) 0.2 (b) d (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1122\/65 or 18?\nAnswer: 1122\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3327*k**3 + 3543*k?\nAnswer: -19962*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2723817 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*p + 23 - 63 + 21 - 2*p**2 + 19 to the form c + l*p**2 + m*p and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691524898.\nAnswer: 2, 2459, 140611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 2*v**5\/45 - 2*v**3\/9 - 2*v**2\/9 + 7. What is b in p(b) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/35 - 18\/35. Is 0 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 57992 = -0*s. Let l = -3365 - s. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 4 - (-12 - -26)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-104)\/(-6)*9\/(-720)*-10 and 1\/(-12)*(-318)\/(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22322 + -10?\nAnswer: 22312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.35 in -0.2, -8, 0.1, 0.402, 5\/2?\nAnswer: 0.402","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89831.\nAnswer: 7, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13 - 0.07. Which is the closest to 2? (a) u (b) -3 (c) 3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**2 - i - 1. Give s(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 909 - 913. Let l be n - (-15)\/(1215\/342). Find a, given that 20\/9*a**2 + 0 + l*a = 0.\nAnswer: -1\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -48. Suppose -b - b = -o. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -12681.\nAnswer: -12680.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 7*s - 4. Let d be j(6). Solve 0 = 3*c - 1 - d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -478 - -3821\/8. What is the nearest to -6.5 in -1\/8, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-20169896)\/(-1380) - (4\/40)\/((-9)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -794730 divided by 132455.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4, 34, 98, 188, 304?\n\"Answer: 13*s**2 - s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*sqrt(2736)*1*5 - (sqrt(2736) + 1 + sqrt(2736) + -4 - sqrt(2736) - sqrt(2736) - (2 + sqrt(2736) + -1 + sqrt(2736))))**2 + -5)*1.\nAnswer: -1248*sqrt(19) + 462396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-42)*-1*(196\/(-21))\/(-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -136 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-80)\/60)\/(2\/(-3)). What is the second derivative of -h + 4*h**5 - 3*h**5 + t*h**5 - 10*h wrt h?\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-99)\/(-198))\/((-9)\/4). What is the closest to j in -2, -5, 2\/5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 - 10*w - 11. Let o be h(-8). Put -1.4, o, -5, 0.2 in decreasing order.\nAnswer: o, 0.2, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + 32 + 161 - ((0 + 2 - -10) + -5).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16490, 16153, 15816, 15479?\n\"Answer: -337*t + 16827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/7)\/j*j*(j**(-2\/17)*j)\/j*(j\/(((j**(-2\/15)*j)\/j)\/j*j)*j)\/(j*(j**(-2\/11)*j)\/j) assuming j is positive.\nAnswer: j**(31928\/19635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 3:00 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75412.\nAnswer: 2, 17, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -24*a**2 + a. Let k(o) = -o**2 + 4*o. Let j(g) = g**2 - 5*g. Let u be 1*((-30)\/(-7) - 52\/182). Let l(n) = u*j(n) + 5*k(n). Calculate l(r(q)).\nAnswer: -576*q**4 + 48*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3525 and 1815?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 14*j + 31. Let z be w(-13). Suppose 0 = -2*u + 26 + 2. Let m = z + u. Calculate the greatest common factor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3159.8 and 0.03204.\nAnswer: -101.239992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -82, -124, -166, -208?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-45))\/((-1)\/(-5)). Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -834 by 3.\nAnswer: -278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 2*c**3 + 7 + 16 + 13*c + 13*c.\nAnswer: -2*c**3 + 28*c + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.667 and 0.3472.\nAnswer: -0.2315824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 15*q + 55. What is the remainder when a(23) is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d38d (base 14) to base 10.\nAnswer: 228465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 5*v**3 + 19*v**3 - 5*v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from {k: 4, v: 6, p: 7}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 83)*(-1 - 0). Let n = m + 84. Solve -3*u + 4 - n = -3*a, 2*u = 3*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-3) + (-347948)\/(-6) + (-1 - -8).\nAnswer: 3, 19333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*u + 885 + 1518 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81645 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 - 10*p + 7. Calculate f(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6317634 (base 8) to base 6.\nAnswer: -55554204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86077 is divided by 369.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {c: 2, x: 2, p: 4, m: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96305 is divided by 665.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let f(q) = 1360*q**2 - 25626*q - 1. Determine j(f(w)).\nAnswer: -4080*w**2 + 76878*w + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from jfyjffjjfy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 1537, 2315, 3093, 3871?\nAnswer: 4649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**4\/s)*s)\/s**(-2\/17)*(s\/(s**(-6)*s))\/(s\/s**(2\/19)))**32 assuming s is positive.\nAnswer: s**(33312\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 313 = -v, -4*y + 254 = 893*v - 892*v. Let k(t) = t**3 + 10*t**2 + t - 2. What is the lowest common multiple of y and k(-9)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v - 1. Let a(y) = -y - 1. Suppose 3*k = -0*u + u + 9, 0 = u - 5*k + 17. What is u*a(g) - 3*m(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, w: 5, n: 1}. Give prob of picking 1 n and 2 u.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d + 53. Let k be j(3). Calculate the highest common divisor of 496 and k.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/84 + -2 + 68\/7. Let s(q) = -q**3 + 7*q**2 + 11*q - 19. Let y be s(m). Which is the closest to -1\/3? (a) y (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b68d2 (base 15) to base 8.\nAnswer: -10001320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42147?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 6 + (-3 - -13).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4902809*f**3 + 14340334 wrt f.\nAnswer: -14708427*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9*g - 4. Let q(f) = -27*f + 12. Calculate -17*i(x) - 6*q(x).\nAnswer: 9*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 1250, 2013, 2772, 3533?\nAnswer: 4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/7 + 16312200*a**2\/7 = 0.\nAnswer: 0, 8156100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28695566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 4:04 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 0.03422 (c) 2\/3 (d) 2\/9 (e) 4 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95 in 17.9, 1.5, -0.4, -5?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 227 + -160. Let w = -60 + b. Solve w = -4*z - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 170.8 and 1.439.\nAnswer: 245.7812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bzbzbb?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (3*100\/30 - -3) - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -13\/5, -12, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 170031, 170040, 170049, 170058, 170067?\n\"Answer: 9*c + 170022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000684171 rounded to six dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/5 + 51\/(-2 + 19). Solve -5*h = 3*t - 26, 6*h - q*h = t - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.5*-0.451.\nAnswer: -2.9315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4252 + 3?\nAnswer: -4249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let o be h(-5). Suppose 132 = o*p - p. Suppose 5*m - 49 = 2*m - 4*d, 5*d - 20 = 0. What is the greatest common divisor of m and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 10. Suppose -8 - 1 = -3*t + 2*d, -2*t - u*d = -6. What is the third derivative of -3 + 0*z**2 + 2*z**6 + t + 3*z**2 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(2*u**3 - 4*u**3 + 0*u**3) - 2*u**3 + 0*u**3 + 3*u**3 - 2 - 4*u**3 + 2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 - -150. What is the least common multiple of 39 and h?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25027 >= 25027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4\/3 + 400*j**3\/3 - 150*j**2 - 1200*j + 1215 = 0.\nAnswer: -81, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*q - 27, h + 8 + 0 = -3*q. Let i = -7 - h. Is ((-76)\/(-16))\/(1\/i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/6*(-30)\/20\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 49*n - 18*n + 8 + 3*n**3 - 14*n + n**3 to the form v*n**3 + k*n + t*n**2 + u and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -236186, -236954, -238224, -239990, -242246?\n\"Answer: w**3 - 257*w**2 - 4*w - 235926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3, 11.\nAnswer: -3, 3, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-60) - 208\/210. Let d = 0.4 + -0.4. What is the nearest to d in -0.3, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 52 + (130 - 106) + (-12 + -1 - -2).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + ((-3*(sqrt(432) - (sqrt(432) + 0)))**2 - (sqrt(432) - (sqrt(432) + 1)**2*-5)) + -1.\nAnswer: -2163 - 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - f. Suppose 3*x - 87 + 78 = 0. Let n(b) = -8*b**3 - 3*b. Suppose 3*k + 6 = 3. Calculate k*n(y) + x*v(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/120894 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 37*y + 5182. Give l(-90).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1857.\nAnswer: 3714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*w - 2*x - 1600, 5*x = -3*w + 960. Is 40 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7319 is divided by 75?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29096893 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*z - 30*z + 351 - 111)*(1 + 1 + 0) to the form h*z + w and give w.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dyef when four letters picked without replacement from ofdye?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(49)\/(2*sqrt(7)))**2 + (-4 + 2*sqrt(28))**2.\nAnswer: -35*sqrt(7) + 555\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 11:46 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 34868 = 5402. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 + 842*t - 3 + 2*t**2.\nAnswer: 2*t**2 + 842*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -15891620 and -0.098.\nAnswer: -15891620.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -602 - -369. Let j = i + 233.129. Round j to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 5*l - 15 = 0. What is the second derivative of -6*t**l + 1 - 3*t**3 + t + 3*t**2 + 3*t**2 - 2 wrt t?\nAnswer: -54*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*g - 5*w, 6 = 4*w - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -965712, -965721, -965744, -965787, -965856, -965957?\nAnswer: -966096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -5*b - 2*f, 3*b + b + 3*f + 20 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/336 + d**7\/210 - d**6\/120 - d**5\/60 - 31*d**2. Find b, given that w(b) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/400 and 69\/7081184.\nAnswer: 177029600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 17664256751.\nAnswer: 17664256746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -3)*(-11 + 6). Round s to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -10*a - 2. Let u(c) = -15*c - 27. Give u(k) - 5*x(k).\nAnswer: 35*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-2)\/10) + (-38 + 28 - -14)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49518.\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -96*f**2 + 1280*f - 59. Calculate v(13).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5225\/(-30))\/(-11)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4904694923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjrzz. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10388 and 3977862?\nAnswer: 55690068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4*(997 + -84). Let q = 461 + b. Factor q + 3*p - 3\/2*p**2.\nAnswer: -3*(p - 3)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -23*k. Let n(u) = 44*u - 26*u - 13*u. Determine n(h(q)).\nAnswer: -115*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2, -0.3, -20205, -5, 0 in descending order.\nAnswer: 0.1, 0, -0.3, -2, -5, -20205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 b, and 1 z when three letters picked without replacement from {l: 2, z: 2, t: 7, x: 1, b: 2, o: 1}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodooro. Give prob of sequence or.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-80) + 58\/5. Differentiate 18*b + 8 + s*b - 2*b - 37 wrt b.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -6. Let n = o - 4. What is the units digit of 2 + (4\/n - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 - -376. Suppose 8*m - l = -10. Let c be 2\/4 + 7\/2. Calculate the greatest common factor of c and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -212*g**3*j**4 - g**3*j - 66*g**3 wrt j?\nAnswer: -848*g**3*j**3 - g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 8}. Give prob of sequence gl.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o + 22*o = 100 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -2\/3, 0.2, 1458, -2.5?\nAnswer: 1458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 527013 divided by -393?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2266, -4533, -6800, -9067, -11334?\n\"Answer: -2267*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17218866 is divided by 6205?\nAnswer: 6196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2873 is divided by 2532?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 2*r**2 + 2*r**2)*(-54*r + 526*r + 76*r + (5 - 1 - 2)*(-r + 4 - 4) + 2*r - 2*r - r + (2 - 2 - 2)*(0*r - 3*r + r) - r + 4*r - 2*r).\nAnswer: -1650*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 2}. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 7 = -4*g. Suppose 34 + 36*o**4 - 10*o**4 - 50*o**g - 55*o - 45*o**5 - 44 + 34*o**4 + 100*o**3 = 0. Calculate o.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 4*s - 5. Let j be l(4). Let c(g) = 7*g**2 + 11*g + 5. Let q(p) = -p**2 - p. Let i(r) = -c(r) - 6*q(r). Give i(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -3*q + 28. Let d = 6 - q. Let 2\/7*f**3 + 2\/7*f + 0 - 4\/7*f**d = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 - -4.5. Let j = 9 - 5. Suppose -4 = 3*d + s, -j*s - 4 = -3*d - 3*s. What is the second smallest value in b, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ncnc when four letters picked without replacement from {c: 4, n: 7, v: 1, i: 6}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 - -2.3. What is the nearest to y in -5, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439926, -439929, -439932, -439935?\nAnswer: -439938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from adhpars. What is prob of picking 1 r, 1 h, and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j + 24*j - 5*z = 36*j + 457, -3*j + z + 95 + 0 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f**3 - f**2 - 2*f - 2. Let j be p(-1). Let i(q) = -j - 2*q + 3 + 0 + 2. Calculate i(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8235 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115220518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - (768\/(-366) + -2) and -85\/6.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i. Let p(a) = -2*a - 14. What is the least common multiple of f(-2) and p(-12)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 143 + -134. Solve -3*s + 6 = -0*u - u, 2*s - 5*u = -c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.148 + 0.148. Put 0.3, t, -0.039 in descending order.\nAnswer: 0.3, -0.039, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-6))\/(15\/(-40)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/h**(3\/5))*h*h**0 assuming h is positive.\nAnswer: h**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:23 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1444549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -3, 0, -24 in increasing order.\nAnswer: -24, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*n - 3, 5*j + 14 = 19. Let z(i) = i**3 + i + 1. Let c(q) = 34*q**3 - q - 1. Give n*c(m) + z(m).\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1031 + -1031. Determine l, given that a*l + 2\/7*l**2 - 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2722955054 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38855 is divided by 925.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 827 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 63. Is 4700\/8 - x - (-1)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-3)\/6)*(-6)\/24\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-8 - (-24 + 16) - -21) + -114)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1976.1 + -1976. What is the fourth smallest value in -282, -2, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.7 + 0.7. Let n = 3.04 - 0.04. Let o = f + n. Which is the second smallest value? (a) 4 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1219.31 - -1219.3. Which is the third smallest value? (a) 0.5 (b) -2\/275 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3693.39 and 0.009.\nAnswer: -33.24051","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114 + 2*w + 405*w**5 - 813*w**5 + 690*w**5 + 905*w**5 wrt w.\nAnswer: 23740*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 777 or 778?\nAnswer: 777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125153015 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82.7*-0.2.\nAnswer: -16.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 1648518.\nAnswer: 46158504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -14*m + 1. Calculate q(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from gggjqqgghdqggd?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(0 + 3 - 1). Suppose 11*p - 12*p = -a. Solve 4*r - 5*j = -18 - 1, 5*j - p = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8 of a century in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*(52\/65*-5)\/(-4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4543, 18488, 41731, 74272, 116111, 167248, 227683?\nAnswer: 297416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/12 - (-25)\/4. Suppose q = -4*q - 2*c + 16, 0 = q + 5*c + k. Calculate the highest common factor of 32 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.00504, 1, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -0.00504, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1679*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-8)\/(-32))\/(4\/48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-165)*-55*(-6)\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:00 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71073*1769.\nAnswer: -125728137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1035*k + 441012. What is j(426)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -832*i**2 + 3*i + 248. Let x(z) = -2498*z**2 + 8*z + 749. Let w(f) = 11*b(f) - 4*x(f). Find the second derivative of w(o) wrt o.\nAnswer: 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6698.5 - 3420.3. What is q rounded to the nearest 100?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 17*a**2 + 4*a - 57. Let s(b) = b**3 - 16*b**2 - 3*b + 56. Let q(j) = 5*s(j) + 4*z(j). Is q(12) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53495951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46371 and 130.\nAnswer: 463710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 4:05 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 144398377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -10\/3*l**3 - 34 + 0*l - 33\/2*l**2. What is the second derivative of h(m) wrt m?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -12, 5, 1 in descending order.\nAnswer: 5, 4, 3, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/3))**(-36)*s**2*s**(-1))**(1\/2) assuming s is positive.\nAnswer: s**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 27*v**2 - 35 + (3*v + 3*v**2 - 3*v)*(1 + 0 + 0))*(-3 + 6 - 1 - v) in the form p*v**3 + y*v + f + s*v**2 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 19*i**3 + 20*i**2 - 19*i - 6. Let p(z) = -13*z**3 - 12*z**2 + 13*z + 4. What is -5*k(o) - 7*p(o)?\nAnswer: -4*o**3 - 16*o**2 + 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 + 8*y - 3. Let k be c(-6). Let i = -2269 + 2278. Is 4 a factor of i\/k - (-1494)\/42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {a: 4, j: 1, e: 8}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/37)*l**(3\/44)*(l**(-1)\/l)**(-49) assuming l is positive.\nAnswer: l**(159567\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*z + 575, -4*g = 5*z - 9*z + 760. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Let d(f) = 0*f**3 + v*f**3 + 10*f - 3*f**3 - 15*f**2 + 7*f. What is the units digit of d(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-25)\/20)\/((-2)\/(-8)). Let t = -2 - j. What is the tens digit of (-3 - -15)\/(t\/14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (((-36)\/90)\/(10\/1350) + 6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(363) + 1*sqrt(363) + -3 + (sqrt(363)*-1 + -1 + sqrt(363))**2 + -5)*-1.\nAnswer: -22*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 4*h. Let j be c(5). Solve 2*p - j = 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/6 (b) -3 (c) 0.2 (d) -1\/66 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 16 = 8*b. Let h(x) = -x**3 - 2*x**2 - 4*x - 3. Let r(f) = 3*f**2 + 3*f**2 - 5*f**2 - f - 1. Let g(k) = h(k) - 2*r(k). What is g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82521297?\nAnswer: 3, 2411, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from mxoxojxmmjjnlox?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/132 and -103\/95084?\nAnswer: 285252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*z**3 - 268665*z**2 - 590664*z + 128880 = 0. Calculate z.\nAnswer: -3580, -12\/5, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005998 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + u + u)*(0 + u + 0) + u - 6 + 13 - 15*u**2 - 5.\nAnswer: -17*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.9 + 2.6. What is the nearest to -2\/3 in g, -0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 2 (c) -4 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 470308 * 2.\nAnswer: 940616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + -1 + 4)\/1. Suppose -4*n - n + 880 = w. Let u be 4\/(-10) + 492\/30. Calculate the highest common divisor of n and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1547.528t to kilograms.\nAnswer: 1547528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 2:26 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*(-1)\/2)\/(((-6)\/1)\/6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 904344?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319 - 809 = 52*p + 42*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r**2 - 15*r + 48. Let y(b) = -2*b**2 + 2*b + 1. Let h(q) = -d(q) + y(q). What are the prime factors of h(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.66142 rounded to 2 decimal places?\nAnswer: 16.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6, 23, 86, 219, 446, 791, 1278?\n\"Answer: 4*k**3 - k**2 - 8*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80\/11 in 0.3, 120, -65?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/3, -1028.6, 9\/7, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2 + 2 - 5*r + 0. Let h(z) = 443*z - 224*z - 218*z. What is h(s(o))?\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 21660*w**3 + 23501060*w**2 + 93744480*w + 93657920.\nAnswer: 5*(w + 2)**2*(w + 2164)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 134606307.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/12 + 25*l**3\/6 + 17*l**2\/2 + 17*l. List the prime factors of f(21).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 616\/(-14) + 3.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 - 8026*w**2\/5 + 146898*w - 3323430.\nAnswer: -2*(w - 45)**2*(w + 4103)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828926 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 m be ((-2)\/(-5) - 2)*-5. Let c = 22 - m. What is the smallest common multiple of c and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-424)\/371)\/((-16)\/28). Which is smaller: q or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = 5*x + m, 5*x + 4*m = -0*m - 446. Let r = -102 - x. What is the remainder when -4*2\/r - 325\/(-10) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75229 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108 + -75. What is the first derivative of -32 + 77 - 12 - k*g wrt g?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -49 and -2088932.\nAnswer: 102357668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 441*m - 6. Suppose -g = i - 7, 3*i = -g - 0*i + 13. Let l be w(g). Suppose 2*u = 8*u - l. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(1\/(96\/(-9))). Let x be l\/6 - (-10)\/15. Solve -x*g = -2*g + 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 7*p**5\/60 + p**3 - 7*p**2\/2 - 5. Let w(o) be the second derivative of m(o). Differentiate w(g) with respect to g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5386200870 rounded to the nearest one hundred thousand?\nAnswer: -5386200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19827 divided by 3?\nAnswer: -6609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwqlwwqw. Give prob of picking 2 w and 2 q.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1069 - -1078. Let n(c) = c + 1. Let k(t) = 3*t - 3. Give q*n(w) + 3*k(w).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9*f = -11*f + 16, -j - 4*f = -2. Solve j*r + 26 - 2 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1048484 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 + (-10)\/42?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.9. Sort -9, -2, z in ascending order.\nAnswer: -9, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 502 - 462. Calculate the greatest common factor of 430 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c**2 - 10. Let h(w) = 24*w. What is h(m(x))?\nAnswer: 120*x**2 - 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1262, -5058, -11382, -20234, -31614, -45522, -61958?\n\"Answer: -1264*r**2 - 4*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/3 (c) -1561089.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369226.\nAnswer: 2, 359, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-19 - (1 - 10) - (4 + -7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 41 - 5. Let i be 1\/((-62)\/(-220) + s\/(-66)). Solve 0 = -5*w + i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.085, -0.33, -19, 2\/7?\nAnswer: -0.085","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 5 + (sqrt(325) + 1)**2 - (5*(sqrt(13) + 2*sqrt(13)*1) + 0).\nAnswer: -5*sqrt(13) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37028947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14910*c + 102620 = 17842*c for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -w + 16, 5*w = -5*q - 0*q for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 - d**2)*(0 - 2 - 3) + (-4*d - 2*d - 3*d)*(d + 2 - 2).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89.6 - 90. Sort 0.2, 1.1, x in ascending order.\nAnswer: x, 0.2, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 200 = -248 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(171)\/(sqrt(9) - sqrt(9)*1*-4) + ((sqrt(19) - (sqrt(209)*-1)\/sqrt(11))*-3 + 2)**2 + 4.\nAnswer: -124*sqrt(19)\/5 + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 267515418 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5015?\nAnswer: 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 254*s**2 + 9*s - 1. Let t(v) = 53*v. Give t(w(x)).\nAnswer: 13462*x**2 + 477*x - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 21000376 divided by 4\nAnswer: 5250094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2 + sqrt(76) + sqrt(171)\/sqrt(81) + sqrt(19))**2.\nAnswer: 52*sqrt(19)\/3 + 3247\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 5346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93553*q - 93549*q = v - 50, q + 8 = -5*v - 15 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -519 (base 11) to base 8.\nAnswer: -1161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d - 33*d = -224 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -1288?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-4)\/t**5*(t*t\/t**(2\/11))\/t*(t**(3\/4)*t)\/t assuming t is positive.\nAnswer: t**(-327\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from uxaauaxxuua.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k - 3. Let q(s) = -s + 6. Let x(g) = g - 18. Suppose 0 = -42*n + 45*n - 3, 2*t - 5 = n. Let o(f) = t*q(f) + x(f). Give o(a(c)).\nAnswer: -16*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**31\/(j*j\/(j*j**17*j*j)))\/((j\/((j*j\/(j**(-2\/117)*j))\/j))\/(j*j**26)) assuming j is positive.\nAnswer: j**(8777\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times 3.6\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -3 + -2 + 1 + 3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 41768*i - 16 = -41767*i, -3*g = -20*i + 95 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(66)\/sqrt(6) - (sqrt(99) + 3).\nAnswer: -4*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - o + 1. Let j(i) = -i**3 + 3*i**2 + i. Let z(u) = j(u) + 3*v(u). What is the units digit of z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 1\/12*d**6 - 9\/8*d**4 + 2*d**2 - 1\/10*d**5 + 3 - 6*d + 13\/6*d**3. Determine p, given that a(p) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 - 11311*f\/4 - 7890057.\nAnswer: -(f + 5004)*(f + 6307)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39127 = -1157*v - 561*v + 12413 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266242 = 250*z - 155758. Calculate the smallest common multiple of z and 72.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6))\/((-3)\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6*c - 2*c + 6*c in the form x*c + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488169 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 385492 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 318 - 328. Let l = -10.2 - y. What is the closest to -0.7 in 1\/4, -2\/5, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2232391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*150\/(-15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2 = -2*l - 3, 0 = v + 2*l - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 15*h**2 - 30*h + 60. Let k be j(22). What is the second derivative of -2652*b**4 + 2*b + k*b**4 - 5*b + 33 wrt b?\nAnswer: 1632*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 59*o + 32 = 62*o, 0 = -n + 5*o - 44 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143 - -143.000295. Round u to 5 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -30. Let z = 0.034 - -0.966. Which is the closest to -2\/7? (a) z (b) h (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + 4*m**4 + 2*m**3 + m**2 + 5*m**4)*(-2*m - 9*m + 0*m).\nAnswer: -99*m**5 - 22*m**4 - 11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138b9 (base 12) to base 7.\nAnswer: 142224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*k + 114 = -166*k - 16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 784 and 14.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 11:52 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278.9816ml to litres.\nAnswer: 0.2789816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 2. Let x(r) = 3*r - 5. Let w(v) = -5*m(v) + 3*x(v). Let a(g) = 2*g - 3. Suppose 961*b = 956*b + 25. What is b*a(f) - 3*w(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1)*(1 + -4)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1000213221 (base 4) to base 3\nAnswer: -111110002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 33 (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -538422.\nAnswer: 1\/179474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -15*w**2 - 211*w + 375. Give s(-14).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*p - 3*g - 10, -2 = 2*p - 5*g. Suppose -4*v + 2*b = -176 + 18, -5*v + 165 = p*b. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1264, 3, 0.\nAnswer: 0, 3, 1264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4085 - -3857. Which is the nearest to 1? (a) 5 (b) -1\/5 (c) t (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + j - 1. Let k(w) = -6*w**4 - 16*w**3 - 6*w**2 - 12*w + 8. Let p(z) = -8*g(z) - k(z). Find u such that p(u) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1340, 2677, 4014, 5351, 6688, 8025?\n\"Answer: 1337*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -43, -75, -125, -199, -303, -443, -625?\nAnswer: -855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - -3 - ((-21)\/9 + 46\/(-69)). Suppose -5*q + 7*p = 2*p - 300, -5*q = 4*p - 273. Put z, q, -5 in decreasing order.\nAnswer: q, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 0 + (31 - 28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 0, 635, -3.\nAnswer: -3, 0, 5, 6, 635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n + 0*n - 4*n + 5*n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94 + -54?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13701690 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*n = -24, 4*o = -0*n - 3*n - 30. Let j(k) = -2*k. List the prime factors of j(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4)\/(h*h\/(h\/(h*h\/h**(-2\/19)*h)))*h**(1\/5)\/(h\/(h**(-5)\/h)) assuming h is positive.\nAnswer: h**(-1416\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkhmkpppkkcmcka. What is prob of sequence mk?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -324257, -324307, -324357, -324407, -324457, -324507?\n\"Answer: -50*z - 324207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 686323 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1163496, -2326992, -3490486, -4653978, -5817468, -6980956?\n\"Answer: x**2 - 1163499*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*r**4 + 401*r**2 - 27159*r.\nAnswer: -552*r**2 + 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 779760 and 14.\nAnswer: 5458320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18002483 rounded to the nearest ten thousand?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2957 = 211*y + 1293*y + 26668 + 59009 for y.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3355*d**3 - 3*d**2 + 15*d - 33. Let u be s(3). What is u rounded to the nearest 1000?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2764.25, 2.\nAnswer: -1, 2, 2764.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -2\/7, 5, 1, -31\/2, 28 in descending order.\nAnswer: 28, 5, 1, -2\/7, -31\/2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 25080 divided by -570?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q - 7 + 2 + 13. Let c = 8 - 1. List the prime factors of y(c).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 96*z + 97*z - 1 = 0, 4*o + 5*z + 13 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3836?\nAnswer: 3836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 548369291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.089, 0.18, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102180*f**4 - 68285?\nAnswer: 408720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 39.09. Sort -1, 3, w in decreasing order.\nAnswer: w, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -37. Which is the third smallest value? (a) f (b) -1 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(80) + 1 + ((sqrt(5) - sqrt(5)*2 - sqrt(5))*-5 + -3)**2.\nAnswer: -56*sqrt(5) + 508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -62\/11, 3, 5\/9?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*y + 4*o - 56, 15 = -5*o. Calculate the highest common factor of y and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96522 = 178*f + 27188. Which is greater: f or -698?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/88*((-112)\/(-819))\/(-8)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6485 - -6490. Solve 0 = -q + 2*i - 7, 5*q - 29*i = -25*i - j for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -366, -324, -282, -240, -198?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 586151 (base 10) to base 6.\nAnswer: 20321355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24487920 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17680.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1506245 is divided by 1506096.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t - 25 - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-864)\/39 - 54\/(-351). Let d = u - -80. What is the remainder when d is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6475465307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 6*v**2 + 6*v + 3. Let w be g(-7). What is the common denominator of (-10)\/(-4)*7\/w and 164\/(-48) - (-1)\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 846 - 4?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130 + 14 + 47)*(9*g + 14*g - 3*g - 5*g + 23*g - 8*g - 4*g - 3*g + 6*g + (-3*g + 2*g + 3*g)*(0 + 1 + 1)).\nAnswer: -2277*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*b**3*n**3 + 11084*b**3*n - 1837*b**2*n**3 - 2*n**2 wrt n?\nAnswer: 120*b**3 - 11022*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-15)\/45*-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3410 and 79\/1776590.\nAnswer: 605817190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2247 + 2319. Calculate the highest common factor of 792 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9031, -24, 134 in increasing order.\nAnswer: -9031, -24, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 11*a**5\/10 + a**4 + 13*a. Find the third derivative of b(k) wrt k.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - (1 + sqrt(288))**2 - -1*sqrt(50))*-5 - (4 + 0 + -2*sqrt(2) + 3)) + 2 + -3.\nAnswer: 37*sqrt(2) + 1437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 8*h + 24750 = 0. Let w = h + -13761\/10. Find the common denominator of 2\/1 - (-11)\/(-20) and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trttrsttcssmr. What is prob of sequence smss?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 5*i**2 - 6*i - 8. Let p be h(-6). Let v = 8 + p. Sort 8, v, 3 in decreasing order.\nAnswer: 8, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*n - 28, n = 4*n - r - 13. Suppose 4*d + 181 = -n*z, -3*d = -0 - 6. Find the common denominator of (255\/20)\/(z\/(-24)) and -145\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Suppose -s + 0 + 2 = 0. Suppose -4*k + o*f + 29 = 0, -23 = -3*k - f + s*f. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -1, -4425.\nAnswer: -4425, -31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -6900.49693 to the nearest one hundred.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 12308 (b) 55 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1834674 or 1834669?\nAnswer: 1834674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 424\/2119 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h - 7. Let o be d(-2). Suppose -4*n + n + o = 0. Suppose n*f - 254 + 2 = 0. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/18*(-6)\/(-4). Let n be -2 + 3 - (4 + l). Let u be 3 - n*2\/2. What is the highest common factor of u and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-144)\/(-60))\/((-6)\/(-380)). Let y = h + -436\/3. Factor -y*q + 4\/3 + 25\/3*q**2.\nAnswer: (5*q - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 45*w**2 - 71*w**2 + 35*w**2 as l + f*w + g*w**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = b + h + 4, b + 5*h = -29 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87*h**3 + h - 32 - 87*h**3 + 47*h**4 + 109 wrt h?\nAnswer: 564*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/16 - 37\/80. What is the nearest to o in 2\/7, -0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(1\/9)*w)\/w)\/w**(-1))**(-1\/8) assuming w is positive.\nAnswer: w**(-19\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 99.8 - 100. Sort -2, 1\/4, p, 0.3 in increasing order.\nAnswer: -2, p, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*5*(sqrt(243) + -1 - sqrt(243))**2.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + 15*u - 4. What is the units digit of x(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z - 5*r - 15, 4*z + 33*r - 22*r = -42 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48966.36 months in millennia?\nAnswer: 4.08053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16216717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*c**2 + 117*c**2 - 54*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -226*o**2. Let v(s) = -2729*s. Give v(p(l)).\nAnswer: 616754*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 - 68*w**2 + 800*w = 0. What is w?\nAnswer: -25, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 416 - 142. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 4. Let w be 1 + -1*(-3 - -6). Let x = w - 2. Let f(r) = 15*r**3 - 21. Determine x*f(c) - 21*d(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1200\/(-5040))\/(5\/6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.4000076 - -13.4. Round j to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 341\/878*3205\/(-1230). Let i = p + 83\/82. Let u = i + -2561\/878. What is the common denominator of u and 65\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1364*a**2 + 8180*a**2 - 1375*a**2 - 1362*a**2 - 1359*a**2 - 1365*a**2 - 1357*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/13 - 34\/221. Solve d + 1 = -v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 117, 485, 1097, 1953, 3053?\n\"Answer: 122*a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - (22 + 23 + -41)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l + 2*l**2 - 5*l + 0*l**2)*(-142*l + 20*l + 57*l)*(-l + l + 11*l) as f*l**3 + x + y*l**4 + b*l**2 + w*l and give y.\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 58 + 9 = 0. Solve -b + 8 = i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 26 = 22. Let w(b) be the third derivative of 0 + 1\/420*b**6 + 0*b - 1\/84*b**4 - b**2 + 1\/105*b**5 - 2\/21*b**x. Factor w(z).\nAnswer: 2*(z - 1)*(z + 1)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -96.3240618 to 2 decimal places.\nAnswer: -96.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 94960180 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1157836.\nAnswer: 2, 17, 17027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 291 and 43.3?\nAnswer: 12600.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 149415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*m - 917 + 436 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -564, -15, -44 in increasing order.\nAnswer: -564, -44, -15, -10, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 107729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -19.021 (c) 6 (d) -590\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 6*k**2 - 6*k. Let g be r(7). Suppose 3*o - 64 = -g. Calculate the remainder when 73 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -217 - -217.2. Which is the closest to p? (a) 0.5 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3623 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 v(z) = 16*z**3 - 15*z**2 + 17. What is the hundreds digit of v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-33) - (-41)\/(-105) - (25230\/(-525) - -24)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 1517 + 477. What is the highest common divisor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(4\/1))\/(-2))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -438, -458, -464, -450, -410, -338, -228, -74?\n\"Answer: q**3 + q**2 - 30*q - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22949264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxknn. Give prob of picking 1 k and 2 v.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1537000 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 216*n - 223*n + 49245. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1213*o - 68 = 4*n + 1210*o, 8 = 2*o for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 538 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, -4, 14\/9, -2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 19. Let k = q + 52. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Suppose 2*o - 15 = -o. Sort o, q, -1 in ascending order.\nAnswer: -1, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 327*i**3 + 6*i**2 + 8*i - 402. Let t(s) = 109*s**3 + 2*s**2 + 3*s - 133. Let z(f) = -3*r(f) + 8*t(f). Find the third derivative of z(y) wrt y.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 - -1152867\nAnswer: 1152913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -0.2, 156974, -0.4 in decreasing order.\nAnswer: 156974, -0.2, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 25 = 0, 5*y - 6*h = -8*h + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2833653865 to the power of 1\/3, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 1:33 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:45 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t + 5. Let z be r(0). Solve -4*i - 24 = -z*n, -3*n - 2*n = 2*i - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7994521?\nAnswer: 7994521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -87*g + 89 - 582 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2403780376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19498\/3 - 6500. Which is the fifth smallest value? (a) 0.3 (b) -11 (c) 14\/9 (d) n (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1620)\/sqrt(10).\nAnswer: 1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + (-7 - (-3 + -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 0*b + 5*k, -4*b + k - 3 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/54868869 and 53\/69?\nAnswer: 54868869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 - -44333?\nAnswer: 44244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 85291709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/39)\/(k*k\/(k\/k**24))*k**(7\/4)*k\/k**(-2\/85) assuming k is positive.\nAnswer: k**(-295403\/13260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 39?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 289834003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -4, -1.702, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 19, 10, -3, -20, -41, -66?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 1\/4 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 67. Solve -2 = -n*g - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 5*w - 5022*z + 5027*z, 6*w = 9*w + 2*z + 109 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -204*h**2. Let s(c) = -24663*c. Calculate s(q(v)).\nAnswer: 5031252*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 119, 297, 475?\n\"Answer: 178*v - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -122, -256, -390?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.845 * -3\nAnswer: 2.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/84, 356, -2, 6\/107 in increasing order.\nAnswer: -2, -1\/84, 6\/107, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**4\/2 - 201*o**2\/2 - 238*o - 675. Differentiate r(i) with respect to i.\nAnswer: -6*i**2 - 201","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -11 + 23)\/((-8)\/2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1404400201 (base 5) to base 4\nAnswer: -31230220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62847?\nAnswer: 3, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6431 and -49\/708.\nAnswer: 77172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/8, -0.0143, 2\/5, -0.093?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-18) - 754\/(-3654)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 5*l**2 - 2*l - 7. Suppose -4*h + 4 = -3*h. Let w be n(h). What is the units digit of w*1\/(-2)*-14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -55 - 65. What is the least common multiple of (12\/2)\/2*6\/2 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 38\/(-4))*-23*128\/736.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaasaasaaasasaas. What is prob of sequence sss?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.1 (c) 56\/9 (d) 0.3 (e) -25.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k. Let u(i) be the second derivative of -9*i + 0 + 0*i**2 + 5\/6*i**3. Calculate u(c(y)).\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44603 and 17719.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*v + 21, -v + 4*v - 4*y - 33 = 0. Let m = 18 - v. Let g(p) = p**3 + p**2 - 6*p + 5. List the prime factors of g(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 508 - 4567\/9. Is x < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145\/(-203))\/(7\/49).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 4 - (-7 + -1) - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 250867574, 501735150, 752602726, 1003470302, 1254337878?\n\"Answer: 250867576*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 5. Let v be o(6). Let z(r) = -5*r**2 + 5. Let k(a) be the first derivative of -2 + 1\/3*a**3 - a + 0*a**2. Determine v*k(g) - 2*z(g).\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/sqrt(108) + -2 - ((-2*sqrt(891))**2 - (sqrt(66)\/(sqrt(6)*2))**2).\nAnswer: -14253\/4 + sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-28)*g)**43*(g*g**(4\/9)*g)\/((g**4\/g)\/g) assuming g is positive.\nAnswer: g**(-10445\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*v**3 + 3*v**2 - 3*v**2 - 160*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8 and -673.\nAnswer: 1884.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28941 and 92384057.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from dnnnkbdnnbkxwbn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 666967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6 = -6*p. Suppose 7*s - 120 = 2*s. Let d = s + -51\/2. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14981 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 k, and 1 x when three letters picked without replacement from {k: 6, y: 3, x: 1, l: 1, j: 2}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291164776?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xllhx. Give prob of picking 1 h and 3 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 625733, 625760, 625789, 625820, 625853?\nAnswer: 625888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12780902*t*w - 64003756*t wrt w.\nAnswer: 12780902*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8343 + 0?\nAnswer: 8343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l - 1527860 - 1317004 = -179*l. What are the prime factors of l?\nAnswer: 2, 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 62 = -2*x, -53 = -3*x - 2*q + 6*q. Suppose 0 = -5*m + 2 + x. Suppose m*d = 9*d - 36. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/72 and -95\/1176.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 32*u = 16*u + 495. Suppose -5*s + 94 - 19 = 0. What is the greatest common factor of u and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 29*q**2 - 40*q + 9. Is h(26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32496 * 1.\nAnswer: 32496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 13 = -3*j, -17 - 13 = -5*j + 5*b. Suppose 0 = -5*x + j + 59. Suppose -11*n + 6 = -x*n. Put n, 4, -1 in decreasing order.\nAnswer: 4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 56295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-20) - -3)\/115?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 455920 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16 + -77?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -324546663 + -4?\nAnswer: -324546667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 1. Suppose -2*d - 14 = 5*j - 4, 0 = 4*j + 3*d + 15. Calculate k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 c when four letters picked without replacement from zzryzfccncn?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832.74576 rounded to the nearest ten?\nAnswer: 2830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/1015 and -67\/8555?\nAnswer: 59885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -202 divided by 4\nAnswer: -101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 5, b: 9}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168.970038 + 169.19. Let n = 2777.22 - 2777. Let h = u - n. What is h rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 - 4*o**2 + o**2 + 3*o**2 - 3*o**2 + o**2 + (0 + 0 - 2*o)*(o - 2*o - o) - 4 + 4 - 4*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 124960 divided by 4?\nAnswer: 31240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 405\/(-525) - 246\/(-205). Find j such that 51\/7*j - 27\/7 - 3*j**2 - i*j**3 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4308358 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -837760 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (-61 - -43) + 50?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*h**3 + 113*h**2 + 108*h**2 - 329*h**2 + 109*h**2.\nAnswer: -40*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*(-4*(sqrt(98) + 1) - sqrt(98)*-2*-6)*-1 + 1)*3)**2.\nAnswer: 10015488*sqrt(2) + 292797828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*o**3 + 47*o**3 - 18*o**3)*(-4 + 6 - 4) + 2*o**3 - 3*o**3 + 2*o**3 + (-3*o**2 + 3*o**2 - 2*o**3)*(2 + 0 - 1) + 0*o**3 + o**3 - 3*o**3.\nAnswer: 241*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m**3 - 168*m**2 + 69*m - 5. Let r(n) = -13*n**3 - 235*n**2 + 98*n - 7. Give -17*c(w) + 12*r(w).\nAnswer: -3*w**3 + 36*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 89\/5? (a) -2\/5 (b) -3 (c) -1\/4 (d) 1\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2\/z)**(-8)\/((z\/z**7)\/(z*(z\/(z\/((z*z**(1\/2)\/z)\/z)))\/z*z))*z\/z**(-2\/7)*z**(-6)\/z*z*(z**(2\/3)*z)**(-26\/7) assuming z is positive.\nAnswer: z**(-521\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5381*q**3 + 11*q**2 + 36342*q - 3 wrt q.\nAnswer: 32286*q + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - 490\/63) + 1. Let o = -11.8 - -12. Let l = 101\/5 + -197\/10. Which is the second smallest value? (a) o (b) g (c) l (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-144)*-4)\/((-2)\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2\/10697?\nAnswer: 2\/10697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**5\/2 + 813*x**4\/2 - 3525*x**3\/2 - 62577*x**2\/2 - 96849*x - 89100 = 0.\nAnswer: -275, -3, -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-574)\/2009 + (-46)\/(-14). Solve -21 = -o*a - 39 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9541942673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*w - 8, 8 = 4*w - 0*s + s. Let o(t) = -w*t + 14*t - 4*t + t - 7. What is the remainder when o(8) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a + 3*u - 44, 0 = -a - 5*u - 20. Let n = 81 - a. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3\/5, 25, 2\/13, 4, 181 in decreasing order.\nAnswer: 181, 25, 4, 2\/13, 0.1, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11021 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4841823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2. Let o = 367.3 - 367. Which is the third biggest value? (a) n (b) o (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1502611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -59. Is w*(-337)\/12*12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*b + 67*b + 120 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 767694, 767436, 767006, 766404, 765630, 764684?\n\"Answer: -86*v**2 + 767780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5348 by -2674.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**3 - 9*t**3 + 12*t**3 - 17*t**3 - t**3.\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**3 + 402*f**2 + 384*f + 1133. Give b(135).\nAnswer: -1702","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 8*v**2 + 12*v + 2. Let y be c(6). Suppose 180 = 5*m - y*w, -m + 1 = 5*w - 8. What is the highest common factor of 153 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q - 10 = 0. Solve s + q = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -v - 9. Let a = 40 - v. Suppose -4*o + 1 = -b + 2*b, 3*o - 5*b - a = 0. Solve o + 3 = -2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = -s - 9, 5*g = -5. Suppose 4*l + 10 = -10. Is l at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -363, -4, 3 in descending order.\nAnswer: 3, -4, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3841648042 - 7*k - 3841648042.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.8 and -6729787.\nAnswer: -6729786.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.1 + 2. Let j = -0.7 - -0.6. What is the closest to j in -2\/9, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**5\/60 - 10*u**2. Let k(d) = -3*d**2 + d. What is 5*j(y) + k(y)?\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/9 - 5\/9. Let d = -9.6 + 9.5. Sort 1\/5, u, d in descending order.\nAnswer: 1\/5, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 444877911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13341026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 17 - 2)*(-5*r**3 + 4*r**3 - 2*r**3) - 2*r**3 - 29*r + 29*r - r**3 + 3*r**3 - r**3 to u + m*r**3 + h*r**2 + n*r and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -15*t. Let a = -21 + 20. Let k be o(a). Suppose 3 = 2*s + k. Is -6 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5650756 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + (19 - (16 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*a - 46 + 348*a + 964*a + 46 + 532*a.\nAnswer: 1530*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-3))\/(1323\/(-26082))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25891\/7964 + -2\/1991. Let r = 81\/17 + -837\/272. Calculate the common denominator of l and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 7*m**2 + 8*m + 7. Give g(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2. Let o be ((-4)\/(-14))\/((-2)\/(-14)). Let l(u) = -u + o*u - 2*u + 0*u. Determine t(l(a)).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 59832960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 205717 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*q - 61 = 0, 6*z = z + q - 80. Let p(u) = 2*u**2 + 22*u + 5. List the prime factors of p(z).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 4*b**2 - 6*b. Let a be (-8)\/(-6)*21\/14. Suppose 0 = a*v - 49 + 21. What is the remainder when v is divided by s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 182288, 182270, 182242, 182198, 182132, 182038?\n\"Answer: -l**3 + l**2 - 14*l + 182302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6732, -28310, -64288, -114678, -179492, -258742?\nAnswer: -352440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.165 - -0.17. Let p = 0 + 0.016. Let k = p + d. Round k to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.003 + 63. Let b = -0.397 + q. What is the nearest to 1 in b, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let t(j) = 9*j**2 - 2. What is t(w(r))?\nAnswer: 9*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 14 - 4. Let q be 18\/(-10) + 2\/p. What are the prime factors of q\/2 + (-16)\/(-1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 27*w - 1253. Calculate z(48).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/60 + 5*l**5\/3 + 179*l**4\/8 - 3*l**2 - 14. What is the second derivative of k(y) wrt y?\nAnswer: 12*y + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973.4688 nanometers in millimeters?\nAnswer: 0.0009734688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v - 7*v - 10*v + (-2*v + 3 - 3)*(-2 - 4 + 4).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 2*p**2 - p**2 - 2*p. Let x(m) = 8*m - 11. Let v be x(2). Let c be g(v). Solve 4*q - 5*r + 10 = c, q + 0 + 9 = -2*r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 198, -2, -1, 1, 5 in decreasing order.\nAnswer: 198, 5, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 8 - 6. Suppose -180 = 10*c - j*c. What is the highest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from {f: 2, y: 1, n: 5, a: 3, h: 1, e: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30*r**3 + 7956*r**2 - 52*r + 1333972 wrt r?\nAnswer: 180*r + 15912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -10. Let g(b) = 2*b**2 - b - 7. What is the tens digit of g(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3027886 and 49327?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 46. Let u = -24 + s. Let v = u - 12. Calculate the least common multiple of v and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 122 = 5*f, -u - 47*f + 42*f = -14. Solve -18*z - 32 = -u*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**2 - 4325*g + 30030 = 0. Calculate g.\nAnswer: 7, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.04, -4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s - 45 = 0. Let b be 1 + s\/(-3) + 2 - -3. Sort -1, b, 4, 1 in increasing order.\nAnswer: -1, 1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Let r = 169 - 168. Let g(l) = -l**2 + 8*l - 1. Let t be g(8). What is the closest to t in -0.4, i, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 4, g: 1}. Give prob of sequence ss.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**3 + 58*x**2 + 179*x - 139. Calculate the remainder when r(-25) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*4)\/(-2)*(-4)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/30)\/(2\/(-5)). Let c = l + 4. Solve -p - 2 = -2*p + c*g, 5 = -5*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 145649739 and 29589.\nAnswer: 4227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/(-92) - (-571)\/(-4). Let i be (42\/11 - 26\/c) + -2. Suppose -v + 118 = i. What is v rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135384 and 32268.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520226\/73 at least 20825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1*-5423\nAnswer: 5423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-340)\/(-255)*(-108)\/3888?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3) + (0 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -231836*c**4 + 112*c**2 + 857*c - 110597 wrt c.\nAnswer: -2782032*c**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -91317 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4))**(-17\/5))**30 assuming i is positive.\nAnswer: i**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqooyydddyodod. What is prob of picking 1 d and 1 o?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**6 + 954*d**3 - 8*d**2 - 763*d + 2?\nAnswer: 240*d**3 + 5724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 597 = -9*n + 5*u, 2*u + 153 = n. Let p = 84 - 50. Calculate the common denominator of 78\/n - (-796)\/33 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azsnnnnnz. Give prob of picking 1 s, 1 a, and 1 z.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9126299*a**3 - 18253108*a**3 + 9125297*a**3.\nAnswer: -1512*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/400165 and -31\/416465.\nAnswer: 204484315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8023616 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-1))\/((-2)\/8). Find the common denominator of 15\/4 and s\/48*(-68)\/3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -130335 (base 6) in base 12?\nAnswer: -69ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1 + 4*r**3 + 2 - 3*r - 2*r**3 - r**2. Let y(c) = -c**2 - 15*c + 2. Let n be y(-15). Let t be 0 - (n - 4\/1). What is z(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (-3 - -4 - 8). Solve h*a + 15 = 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 736*r - 13623.\nAnswer: -(r + 19)*(r + 717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 - 108*g + 10. Calculate h(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + 6. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(25)\/sqrt(5)) + (sqrt(72) + -3*sqrt(72) + sqrt(72))\/sqrt(2))\/(1*sqrt(1452)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -37. Solve j*l = -l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 265?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12313932 is divided by 1014.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*p + 27*p = 30*p + 68 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*b - 5*b + 100 = 0, -3*z + 3*b = -75. Let i be (1 + -1)*5\/5*1. Let n = 38 + -22. Solve 5*l + n = 5*o - 2*o, i = -5*o - 2*l - z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 + 6*i**3 - 6*i**2 - 14*i + 12.\nAnswer: 2*(i - 1)**2*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 w, and 1 k when three letters picked without replacement from rwsoozokrzso.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 0, -3, 6, 33, 84?\n\"Answer: a**3 - 10*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**2 - 10*p**2 - 8 + 28847*p**3 - 2*p - 28829*p**3 to the form y*p + m*p**3 + n*p**2 + s and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/10)\/((-1)\/(-88)). Suppose -3*p + 0*f + 4*f = -c, -3*p + 29 = -f. Let r(w) = w. Let s be r(p). Solve -5*o + s = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 2. Suppose -4*c + 68 = 4*t, 5*c + 2*t - 82 = -0*c. Suppose 9*w - w = c. Let k(u) = 1. Calculate w*n(a) - 5*k(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 77652437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1258915500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Let b(r) = 2*r**2 + 6*r + 2. Let a be b(5). Suppose j*p = -4*h + a, 3*p + 5*h - 80 = -2*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 divided by -31?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 959\/5 - 13\/(-65). Suppose -3*z = z + 4*k - t, 5*z + 4*k - 243 = 0. Let j(l) = l**3 - l + 4. Calculate the remainder when z is divided by j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-14 - (-24 - 14 - -11)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 26. Let a be y(-8). Let b = -10 + 11. Suppose b - 61 = -3*n. Calculate the greatest common factor of n and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*b = -9*b - 434 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by ((-6)\/(-2) - 2)*20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:41 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 582*d**3 - 15*d**2 - 15*d - 426. Let j(w) = -83*w**3 + 2*w**2 + 2*w + 61. Let m(g) = -2*a(g) - 15*j(g). Find the first derivative of m(b) wrt b.\nAnswer: 243*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2\/4 + 15663*l\/4 + 548475\/2 = 0 for l.\nAnswer: -5150, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312770.\nAnswer: 2, 5, 31277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z - 374. Determine j(0).\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 4*u. Let s be 5 - (1 + (-1 - 0)). Let a(d) = -11*d - 3. Let c(v) = 16*v + 5. Let r(z) = 3*a(z) + 2*c(z). Let p be r(s). Give n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 7*j**3\/3 + j**2 + 3*j - 150. Calculate m(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 + 2*z**4 - z**4)*(0 + 0 + 5) + (-12*z**2 - 9*z**2 + 20*z**2)*(4*z**2 + 2*z**2 - 5*z**2) + (2*z + z - z)*(2*z - 2*z - 2*z**3).\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76 - -10 - -1 - (-19 - (-6 - 0)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.2, -78, 1838, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -4*g + 18, -3*q - 3*g + 8*g = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - d - 2*d)*(-d**3 + 2*d + 2*d**3 + 2*d).\nAnswer: -d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-46)\/230*(-1 + -9). Suppose i*z = -11*z + 26. Solve 3*r - z*r = 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 20*t**2 + 108*t - 48. List the prime factors of o(35).\nAnswer: 2, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-6\/11)\/((d*d**(-7)*d)\/d)*(d\/d**(2\/9))**(-3\/11) assuming d is positive.\nAnswer: d**(173\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*d. Solve -h = -0*h + d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.9 + -7.9. Let d = 1 + -1. Which is the third smallest value? (a) 3 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.6 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3.673\nAnswer: 2.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*s - 1261*s = -56474 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1182 - 1661. Let s = 482 + x. Suppose 5*p - 86 = -2*l, 5*l = 4*p - 2*p - 46. Solve 2*m + 15 = -s*y, -4*y + 3*y = 5*m + p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45969243 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8891, 35562, 80015, 142250, 222267?\n\"Answer: 8891*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540180 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 3:38 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -73. What is the remainder when 208 is divided by r + 21 + (-6 - (-9 - -2))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.51 - -26.5. Let a = -2.01 + 0.01. Let d = -2.1 - a. Which is bigger: i or d?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5 + 1 = 0. Let a(u) = 1. Let z(t) = -11*t**5 + 2*t - 4. Let o(w) = g*z(w) - 4*a(w). Find the second derivative of o(k) wrt k.\nAnswer: 220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-5)\/((-5)\/1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 174 + -177. Let m be (-19)\/(-57) + (-32)\/c. Solve -m = -2*p - 1 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4283.8208 days in weeks?\nAnswer: 611.9744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 1. Let h(q) = -25*q + 30. Let x(f) = -29*f - 1. Let o be x(1). Let m(a) = o*c(a) - h(a). Let d(j) = -2*j. Calculate m(d(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*f = -173*f + 5*y - 80, 4*y = -2*f - 26. Let l be ((-2)\/(-5))\/(2\/30). Put f, l, 5 in descending order.\nAnswer: l, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 c when four letters picked without replacement from {c: 6, q: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1915\/2 + 956. What is the closest to -11 in 0.77, h, -3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*r + 40*r + 21. Suppose -r*v + 12 + 78 = 0. Calculate the smallest common multiple of v and 15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -121160 less than or equal to -121160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = x + 5*v + 162, -4*x - 5*v = -264. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3363*g**2 + 1261*g**2 + g - g.\nAnswer: 4624*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 3*z + 3. Let l = 21 + 17. Let h(y) = 9*y**2 + 112*y + 8. Let f be h(-12). Let a = f + l. What is s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47882604 a multiple of 2692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 8. Let u = 2 + -1.4. Let l = u + 1.4. Which is the third biggest value? (a) l (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1335 (b) -12357 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -0.5, 0.2, -3\/16, 4\/9, 8?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 3*p**2 + 1. Let z be j(-2). Let w be 48 + -146 - (2 - 1*-1). Let y = w - -103. Solve 2*u + c = 3*c, z*c - 15 = y*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a. Let y(d) = -d + 2. What is the units digit of y(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*f, -5*t - 5*f - 5 = -0*t. Suppose -6*h = -t*h. Suppose -a + 2*a - 7 = h. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(686) - -2*(sqrt(56)\/sqrt(4) - sqrt(14)))\/(sqrt(49)\/(-2*sqrt(7)) + sqrt(7) + 5*sqrt(14)\/sqrt(2)).\nAnswer: -42*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.4. Let t = l + -0.1. Let j be 6\/(-3)*(-1)\/8*(-104)\/130. Which is the second smallest value? (a) j (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:39 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*z - 941 + 941 - 20*z**3 - 19*z**3 + 5*z**2 + 51*z in the form y*z**3 + j*z**2 + i*z + a and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -115281 - -115318. Suppose -809 = -4*q + 215. What is the remainder when q is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**6 - 13*h**5 - 669*h**3 + 218060*h**2 wrt h.\nAnswer: -600*h**3 - 780*h**2 - 4014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1323737882.99999886 + -1323737843. Let y = -40 + p. What is y rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*k**2 + 20*k**2 - 39*k**2)*(-k + k - 2*k + (-1 - 1 + 0)*(-4*k - 2*k + 4*k) - k + k + 2*k + 3*k + 2*k - 4*k).\nAnswer: 30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3953772 = -2*k - p - 3653304, 3*k - 5*p + 11410627 = 0. Let o = k - -1803539. Round o to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8268 - -19610. Is n a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 3. Let x(f) be the second derivative of 2*f**3\/3 - 47*f**2 + 12*f - 4. Let i be x(24). Solve -w = -i*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5 = 6*s. Which is bigger: s or -2\/49?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20445811 and 19823.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 12. Let d = m - 6.6. Let h = d + -0.1. Which is the closest to -1? (a) h (b) -0.4 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b - -1b?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-30)*(-1 - 0) + 1440\/(-600).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19239, -38321, -57407, -76497, -95591?\n\"Answer: -2*v**2 - 19076*v - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (168\/(-32))\/((-8)\/(-68) - (-35)\/(-272)). Calculate the highest common factor of 986 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 68034 = -5*l + 7*l, 4*l - 3*b - 136079 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*p, 4*p - 5*x = 9*p + 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2996229639 to the nearest integer?\nAnswer: 54738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3\/5 + 154974*a**2\/5 - 62013*a - 1084860 = 0. What is a?\nAnswer: -51660, -5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 + p**2 - 57*p + 8. Let n be c(-6). What is n rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-195)\/60*21*(-13)\/(-273).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*d = 42, -4*a + 2*a + 4*d + 14 = 0. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402267574 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7919, 7953, 8007, 8081, 8175?\nAnswer: 8289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 * 0.07.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0 - 1\/40*j**5 - 1\/16*j**4 + 1\/80*j**6 + 0*j + 1\/140*j**7 - j**2. Suppose v(f) = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6794a (base 13) in base 3?\nAnswer: -100120100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = 149 - 2600. Let z = -128 + n. Solve -2*b + z = -1, 0 = -v - 2*b + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 + 12 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -d + 4*c, 2*d - c - 114 = -3*d. Let q = 18 + -13. Suppose 26 = q*n - 4*b, -4*n + 20 = -3*b - b. Calculate the smallest common multiple of n and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-3\/17)*w)**(3\/5)*w**(-37)*w**30 assuming w is positive.\nAnswer: w**(-484\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + 29 - (-2 - -9 - (9 + 3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1042*p = -1050*p + 40. Let j = 10 + -5. Is (-3)\/j - (-6298)\/p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/96508 + -5791017\/17274932. Let l = r + -9842\/1611. Calculate the common denominator of 7 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 23 + 2\/2. Suppose 20*u = r*u - 5. Suppose -2*m + 4*m = 0. Solve u*l - 10 = -m*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 0 - 11)*30\/(-9). Let f = g - 178\/9. Factor -2\/9*y + 0 + 0*y**2 + f*y**3.\nAnswer: 2*y*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51\/365 or 1?\nAnswer: -51\/365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3623 + -1986. Let q = 3258 - f. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + -1)*2 + -38. Let n = -29 - u. Let y(r) = -r**3 - 6*r**2 - 5*r + 6. What is the remainder when n is divided by y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9801 is divided by 258.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5774 + -2135. Suppose -11*f + 8*f = -x. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13916, -27827, -41748, -55679, -69620, -83571?\n\"Answer: -5*t**2 - 13896*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44*(41\/(-492)*-2)\/(5\/15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 4*f + 18. Let g(h) = 2*h**3 + 6*h**2 - 8*h - 2. Let u(c) = 5*c**3 + 12*c**2 - 19*c - 3. Let p(i) = -7*g(i) + 3*u(i). Give p(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -16\/1195, -2\/9?\nAnswer: -16\/1195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.348 - 0.052. Let p = a - -7.399969. Round p to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3381 + 3517. Calculate the remainder when d is divided by 76.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/15 + 12*i\/5 - 54\/5 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -303 + 318. What is the remainder when 48\/(-16) - (0 + -204)\/2 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31949, 63696, 95473, 127280, 159117, 190984?\n\"Answer: 15*m**2 + 31702*m + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a\/a**20)\/a)\/a*a)**33\/(a\/(a**(2\/27)\/a))**35 assuming a is positive.\nAnswer: a**(-17858\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -2*f**3\/3 - 6*f. Let t(j) = 2*j**2 - 6. Let m(c) = 1. Let q(d) = 24*m(d) + 4*t(d). What is q(b(n))?\nAnswer: 128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1067.86692 - 1064.28. Let f = 3.59 - n. What is f rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ab - 95?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - x**2 - 3*x. Suppose -20 - 8 = -4*q. Suppose 8*h - 24 = q*h. Calculate the remainder when h is divided by l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6588 - b?\nAnswer: 657d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 17*j - 20. Let f be s(14). Suppose f = -4*t + 1638. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3819250498 to the nearest integer?\nAnswer: 61800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 419707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 3*x)*(2 - 6 + 5) + 7*x + 596*x + 310*x)*(-x + 0 + 2 + 0*x).\nAnswer: -910*x**2 + 1820*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = -1127 + 6371. Suppose -2*h = -5*d + 6065, -5*d + h + j + 5633 = 0. What is the highest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxxv when four letters picked without replacement from xxrpvplrbpxplrr.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7381 + -4697. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 329502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/4*((-70)\/15 + 4). Sort -2, -1\/4, -3, x.\nAnswer: -3, -2, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 1*(5 + sqrt(17) + -1)*3*1).\nAnswer: 18*sqrt(17) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 2 (c) 6320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (1 + (-13)\/(-11)). Let v = 42 + -38. Let q be (-44)\/55 + v\/5. Which is the biggest value? (a) l (b) 0.6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-13 + 22 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -v**6\/120 - v**5\/60 - 5*v**4\/24 - v**3\/2 + v**2 + 22. Calculate the smallest common multiple of 16 and k(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 1 - -11) + -9 - 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -238 - -278. Let w(f) = 46 + i - 83 - 8*f. Let v(n) = -65*n + 25. Let s = -6 - -3. Give s*v(r) + 25*w(r).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1823483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8396, -8408, -8420, -8432, -8444?\nAnswer: -8456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/9)\/(a\/(a*a**(-9))) assuming a is positive.\nAnswer: a**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34280 + 84591. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/1152*-24)\/((-1)\/(-1)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58998632*f**2 - 107179*f + 668.\nAnswer: -117997264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gckmkbxbbbmk. What is prob of sequence gx?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*k**2 - 169*k**2 + 56*k**2 + 3785*k**3 + 55*k**2.\nAnswer: 3785*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 10290.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c - 4. Let w = 5 + -1. What is the least common multiple of b(4) and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-7)\/j*j)))\/j)\/((j**(1\/3)*j)\/j*j*j) assuming j is positive.\nAnswer: j**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 220 and 176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 700*g - 2556*g + 1856*g - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 57 - 12*o**2 - 17 + 97 + 229 + 4*o**2.\nAnswer: -2*o**2 + 366","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 j when three letters picked without replacement from rrgjwco?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3921720 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 447 = t. Let j = 304 - t. Let o be (j - 5)\/(6\/(-232)). What is o rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.052, 5.7, 5?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -9, 1, -3, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, 0.6, -0.33, 0, 1\/13, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g*g**(-1))\/g)\/g)**(1\/28)\/(g**(-2\/13)*g**10) assuming g is positive.\nAnswer: g**(-3597\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 75 = -61 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -23157119.\nAnswer: -4\/23157119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2024.5 + 2024.499989238. What is h rounded to 7 dps?\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 1, f: 3, c: 6, m: 3}. What is prob of sequence cccc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 times -10091?\nAnswer: 958645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 1056. Let l be m(13). What is the greatest common divisor of l and 472?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 28 - 18 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.5, 0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 12834120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 - 65. What is the remainder when o is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 466*z**2 - 615*z.\nAnswer: 932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-2 + 26) - (-46 + 34)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/35 + 4\/20. Let c(m) be the third derivative of -3*m**2 + 0*m + 1\/2*m**3 + t + 1\/8*m**4. Find the first derivative of c(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2003 is divided by 228.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10055795, -10055793, -10055791, -10055789?\n\"Answer: 2*l - 10055797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43093, 86190, 129287, 172384, 215481, 258578?\n\"Answer: 43097*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -602 (base 10) to base 13\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-6)*(-3)\/3)\/((-71)\/(426\/105)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, a: 2, b: 5, x: 1, c: 1}. What is prob of sequence bx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2 - 138110*k - 4768593025 = 0.\nAnswer: -69055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2092486.9983 - 1?\nAnswer: 2092485.9983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32895760 divided by 411197.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-6*(-9)\/(-12). Let x = g + 12. Suppose -5*i - a + 14 = 0, 7*i - x*i = 4*a + 16. Calculate the remainder when 13 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115 - (28\/7 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -377 + 390. Solve -3*f + 12 = -h, 5*f - 7*h + 3*h - y = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 6*z**2 - 115*z - 416. Give w(-9).\nAnswer: -353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13)*y*y**12*y*y)**(-7\/9)\/(((y\/y**2)\/y)**(1\/34))**(-11) assuming y is positive.\nAnswer: y**(-337\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0695587768 - 336.\nAnswer: -335.9304412232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phph when four letters picked without replacement from {p: 3, h: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - ((-45)\/(-6) + -2))*-26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s - 2*s)*(-1 + 2*s + 1) - 1 + 1 - s**2 + 0 + 0 - s**2 - 2*s**2 + 0*s**2 - 6*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523292 is divided by 261644.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5078 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1035 and 79549111.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 96 = -4*x. Suppose -11*m + 7*m = -x. Find the second derivative of 8*v**2 - 35*v**2 + m*v**2 - 23*v wrt v.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -626 not equal to 9.2801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*h - 33*h**2 - 9*h + 25*h + (-4*h + 2*h + 0*h)*(4 - 4 + 2*h).\nAnswer: -37*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/13890 and -11\/210.\nAnswer: 97230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2. Suppose 5*d - 2 = -22. Which is the nearest to -1? (a) d (b) n (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 2 + 2)*(-2*b - 4*b + 4*b) + 0*b**2 - 3*b**2 + 4*b**2 + 2 - 2 + 2*b**2 - 2026*b + 2026*b - 66*b**2.\nAnswer: -67*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g**2 + 3*g - 620. Let b be t(0). Let y = 623 + b. Let m = 1 + 2. Solve 0 = 2*j - y - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 8. Solve 4*y + y = x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/26*3\/(-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f + 7. Suppose r - 2*q = -3, 2*q - 4 = q. Let a be h(r). Let k(c) = -c - 3 + 2 + a. Let m(b) = -2*b + 2. Calculate -4*k(v) + 3*m(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135837313 to the nearest integer?\nAnswer: 11655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*5\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58003, 116009, 174015, 232021, 290027?\n\"Answer: 58006*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**7\/g)*g*g\/((g*(g**(1\/3)*g*g)\/g)\/g*g*g))\/(g**(-5\/2)*g**4) assuming g is positive.\nAnswer: g**(-47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 7. Let p be l(-7). Let u(j) = -j. Let k be u(p). Let d = 1 - -4. Solve d = -5*y - k*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 2:23 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*u**2 + 8*f*u + 233*u**2 - 24*u wrt u?\nAnswer: -2*f + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1632 and 1644.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 7)*((-9)\/15)\/(15\/(-10)). What is the second biggest value in 0.07, -6\/175, f?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 + 7*b**3 - 10*b**3 + 3*b**3 - b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(77)\/((sqrt(28) - (sqrt(28) - (sqrt(448) - sqrt(28))))\/sqrt(4)))**2 - (((sqrt(198) + 2*sqrt(198))\/sqrt(9))\/sqrt(2))**2).\nAnswer: -880\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/66 and 46\/77?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 7) in base 13?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-291)\/(-27) - 11 - (-14)\/9\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 25*z - 2031. Let j be y(82). Let v = -5231\/11 - -475. Which is the nearest to 0? (a) -4\/5 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.5 or -73384?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -26479649.8 to the nearest 100000.\nAnswer: -26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -9.648?\nAnswer: 4.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*h - 32. Suppose 32 = 5*s + 102. Let n = h - s. Calculate the remainder when n is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2893 is divided by 202?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -109*c**2 + 28431*c + 4651. What is o(261)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 6*t**2 - 4*t - 7. Suppose 2 = -2*v + 12. Calculate b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120*(-237)\/6320)\/((-2)\/36).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/18 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/340)\/(12\/10) + 0?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - w + 4*w**2 - 7 + 6 - w**3. Let s be k(3). Let p be (-4)\/4*(9 + (-84)\/6). Solve 4*a - 2 = -2*o, s*o + 4*a = o + p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59309 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110.9498 + -0.0502. Which is bigger: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.2675 to 0 decimal places.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/16 and 35\/148?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - -1 - (1 + -1). Let i = -778 + 768. Let n be 40\/i*(0 + -1). Solve n*o + d = -12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140250.278 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2080.204 years?\nAnswer: 20.80204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -21. Suppose -p = -0*t - t. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 101782 - 4377048\/43. Does -10 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 204157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 107481711751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:54 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 50. Solve -5*l - 3*a + 7*a + 27 = 0, i*a = -5*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1708, -6773, -15208, -27007, -42164, -60673, -82528, -107723?\nAnswer: -136252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 7*f**2 + 7*f - 1. Suppose -5*o + 25 = 0, y = o + o - 4. Let i be j(y). Find the second derivative of 718 - 718 + 6*p - i*p**2 wrt p.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + k + 3. Let l(m) be the second derivative of -m**5\/20 - m**4\/6 - m**2 + 146*m. Give 3*l(n) + 2*x(n).\nAnswer: -3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9*i = 20. Suppose -2*j - 5*q = -29, 3*j + 5 + i = 3*q. Solve j + 1 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1504.346 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*v + 14*v + 12*v)*(0 - 3 + 2) + (2 + 4 - 4)*(v - 4*v + 2*v).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*p + 467, -3*n - 5*p = n - 935. Suppose 13*x - n - 77 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -7*m**3\/6 + 41*m**2\/2 - 30*m. What are the prime factors of z(-26)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -52, -5, 4.\nAnswer: -52, -8, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29660 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.2521 times 34677\nAnswer: -8742.0717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 26*c - 22*c = 612, -255 = -2*s - 5*c. Suppose 18*t = 26*t - s. Calculate the highest common factor of t and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imirmmrmimimm. What is prob of picking 1 m and 1 r?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.5951l to millilitres.\nAnswer: 300595.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p*p**(-10)))\/p))**(12\/13) assuming p is positive.\nAnswer: p**(-96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**3 + 5*s**2 + 7*s - 3. Let p(m) = -6*m**3 + 4*m**2 + 6*m - 2. Let f(d) = d**3 + 10*d**2 + 4. Let x be f(-10). Give x*h(z) - 5*p(z).\nAnswer: 2*z**3 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 greater than or equal to -1176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12 * -0.034383.\nAnswer: 0.00412596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0)**50*(t\/(t**3\/t))\/t*t*t**7 assuming t is positive.\nAnswer: t**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-3799)\/174 + 22 + 9221\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 30 - 36)*(0 + 0 + 2*j).\nAnswer: -98*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 1 - 15 + 3 + 4*j**2 as h*j + t*j**2 + p and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -29*v - 14*v. Let o = -91\/2 + 47. What is the nearest to 2\/3 in o, 4, v, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -366 - -371. Suppose 19*l = 23*l + 2*a - 126, 2*l - 59 = -x*a. Calculate the remainder when l is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-105)*1*(-20)\/152?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*z**3 + 3391*b**3 + 3658*b**2*z + 3*b*z**3 + 3*b*z**2 + 2*z wrt b.\nAnswer: 6*z**3 + 20346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 3*x**4\/8 + 185*x**2. Let s(w) be the third derivative of -7*w**5\/60 + 14*w**2. Give s(q(a)).\nAnswer: -567*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 49. Let p = l - 7. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 582877269 and 33345.\nAnswer: 6669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 3\/409068323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/359581 and 70\/1078743.\nAnswer: 1078743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7389 rounded to two dps?\nAnswer: -2.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 14*p**2 - 14*p + 13. Let r be (40\/28)\/5 + (-321)\/21. Let g be v(r). Is (g\/((-10)\/5))\/((-1)\/(-1193)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2*o**2 - 2*o**2)*(-4 + 0 + 3) + o**2 + o**2 - 4*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121076 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2628 - -185. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.8433219423 from 363.\nAnswer: 360.1566780577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9424 + 0.0856. Let p = -0.028 + w. Sort 0.2, -1\/5, p, -4\/9.\nAnswer: -4\/9, -1\/5, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -400 (base 5) in base 2?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, 123, 155, 187, 219, 251?\n\"Answer: 32*c + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 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: Is 14137053001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144110*k**5 + 2*k**3 + 7245*k**2 - 4 wrt k.\nAnswer: 8646600*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1496 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79953 (base 15) to base 8.\nAnswer: 1363445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228 divided by -76.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*f - 15*f - 10*f)*(-3 + 4 + 1)*(-2 - 2 + 7).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 951, 1902, 2853, 3804, 4755, 5706?\n\"Answer: 951*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:57 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826 is divided by 360.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (-11298)\/(-378))*(-18)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102 and 2074.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n - 3*s - 63, -3*n = -5*s - 76. Let b = -194 + 258. Calculate the remainder when b is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11655720 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -3.26. Let g = r + -13.9. Let z = -17 - g. Which is bigger: z or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.61507 + -0.6101. Round t to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100013000 + -231?\nAnswer: 100012103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/700*-21)\/((-6)\/16)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000212616 to 7 dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6 + 9 + -1) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/10 + -2 + (-755)\/(-25). What is the greatest common divisor of 56 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 13*w + 8. What is x(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3\/4 (b) 4 (c) 73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 13 - 21 = 0. What is the units digit of ((-2)\/x + 2)*1550\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1321.9 + -1322. Let b = 0.1 + 0. Let j = -0.2 + b. What is the closest to j in 4, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2*z - n**2 + 16*n*z - 2147*n - 43*z + 28916 wrt n.\nAnswer: 4*n*z - 2*n + 16*z - 2147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2669078?\nAnswer: 2, 139, 9601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6506 + 2631 = 125*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2141.999999793 - 2142. Round q to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 2231.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3\/36*-2). Suppose -m + 5*m = 8. Let p(z) = 3*z + 0*z - 3*z - 2*z + z**m + 2. Let q(x) = 4*x**2 - 7*x + 7. Determine w*q(c) - 21*p(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, t: 4, b: 2}. What is prob of picking 1 b, 1 v, and 2 t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -31. Suppose -v - 3*j = 4, 2*v - 35 + 13 = 4*j. Let l(t) = v*t - q*t - 4*t. Let z(g) = g. Give l(z(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 9\/67, 291, 0.3, -4.\nAnswer: -4, -1\/5, 9\/67, 0.3, 291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 times -0.05243?\nAnswer: -3.30309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 721478639791.999998 - 721477613862. Let t = g + -1025935. Let q = t - -5. Round q to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -110021102?\nAnswer: 110021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9 - (0 - (-2 - -1)). Let t = -6 + j. Let b(s) = -s - t*s + 5*s. Let q(f) = f. Calculate q(b(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29572 + 29577. Which is the second biggest value? (a) 2\/7 (b) 1144 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:23 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 232065 to the power of 1\/2, to the nearest integer?\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11350 + 248. Suppose i = -33*l + 47469. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 6*a - 186 = 0. Calculate the remainder when 59 is divided by a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -18. Suppose -4*h + 303 = -785. Suppose h = 12*o - w*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y + 3. Let f(i) = -i**3 - 10*i**2 - 11*i - 20. Let u(l) = 2*l**3 + 6*l**2 - 4*l + 7. Let q be u(-4). Let b be f(q). What is k(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -m - 2, -5*m = -s - 0*s - 2. Suppose f + 13 = 3*y, 2*f - s*y = -6 - 5. Find the second derivative of -3*q**4 - 19*q**2 + 19*q**f + 2*q wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/9 and -55\/1632.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000043869914 to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44406 by 22203.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + 82. Let g be (-9)\/(-2)*(m\/(-18) + 1). Solve -g*x - 3 = 2*x - 4*u, -5*x = 4*u + 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002713 rounded to five dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -137.1 in 5, -0.1, 3017?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 3*a - 2)*(3*a**2 - 7*a + 7*a) as n*a**3 + m*a**2 + t*a + r and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5 + 48*f**4 - 84*f**3 + 40*f**2 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/27 + (-14)\/18. Let z be 36 + (3 - 1)\/x. Let f be (z\/3)\/((-4)\/(-6)). Calculate the highest common divisor of 85 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, j: 5, s: 5}. Give prob of sequence ojo.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*s + 3. Let p be (s\/(-4))\/(2\/(-8)). Let h be 5*(0 - -2)\/p. Solve h*z = 18 + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1132 + -3111000?\nAnswer: -3112132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4374 and -7027?\nAnswer: -30736098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65241 by 4.\nAnswer: 65241\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a century in months?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + (-6 - (-20 - -13)) + 28\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-6))\/(-12*7\/(-280)). Which is the nearest to -0.1? (a) -2 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -16.5. What is the closest to -3 in 1, -5, p, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*c + 28 = 0, 2*i - 3*c - 26 + 10 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 549*w**2 - 4*w - 3. What are the prime factors of y(-1)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.087, -1\/5, 4\/5, 2\/5, 0, -5, -2\/15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h = -8. Is h > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-94 - -103) + 0\/2*-1. Let v(u) = 77*u - 152*u + 76*u - g. What is v(17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50471 and 141565.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-3024)*-12*1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22107 and 1312.\nAnswer: 29004384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7563 - 7659 = -4*g. Solve g*s + 57 = 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15281653 is divided by 646.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-6) - 124\/24. Let v be 23\/(-69) - (-2 - 28\/(-6)). Sort -4, m, v in increasing order.\nAnswer: m, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41765 times 0.041?\nAnswer: -1712.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 24*q**2 - 54*q + 57. Let f be c(26). Suppose -949 = -v + f*n, -2286 = -4*v - n + 1531. What are the prime factors of v?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 23*t - 36. Let l be a(-9). Let q = 5 + -7. Let x be (11 - l) + q\/(-1). Solve z + m - 8 = 0, x*z + 2*m - 26 = -0*m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0361034 times 0.006?\nAnswer: 0.0002166204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6533.596 + 46\nAnswer: -6487.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689.\nAnswer: 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 - (18 + -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12 - (-1860)\/(-150))\/(4\/(-5)). Put n, -1\/8, -8\/15 in descending order.\nAnswer: n, -1\/8, -8\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:42 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 16. Let a = 14 + j. Let q = -0.1 + 0.2. Sort -1, a, q in increasing order.\nAnswer: -1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1305a41?\nAnswer: 1305a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28903\/2089 or 14?\nAnswer: 28903\/2089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = i, 27*i = 20*g + 28*i - 223. Sort 0, -73, g.\nAnswer: -73, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let t be (3\/k)\/((-6)\/12). Let h be ((-3)\/t)\/2*6. Which is the smallest value? (a) h (b) 1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3690 + -737026.\nAnswer: -733336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 219 = -4*c + 5*h, 124 = 2*c - 3*h. Suppose -13 = -2*u - s, -3*u + 10 = -2*u + 4*s. What is the remainder when c is divided by 82\/u + 7\/21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {w: 11, x: 1, f: 4, u: 1}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1504 + 6*g + 16*g - g + 1501 as t*g + c and give t.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -70*n - 64. Let u(m) = -14*m - 13. Let f(t) = -11*u(t) + 2*z(t). Is f(7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16397218373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6) - (4 - 70\/20). Solve b = 3*y - 5 - 10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 3911, -4, -129 in ascending order.\nAnswer: -129, -4, 8, 3911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 6*n + 3. Let s be y(6). Let a be (1\/10)\/(s\/(-126)). Is -4 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 49\/4 of a hour?\nAnswer: 735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/456 and 56\/3705?\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13499 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 203. Let t be n(66). Let x(p) be the third derivative of -p**6\/120 - p**5\/15 + p**4\/4 + p**3 + 87*p**2. Calculate x(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 8:08 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -28*h**3 - 3*h - 2. What is p(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 782*s**5 + 111323*s**3 - 156*s**2 - 14415*s.\nAnswer: 46920*s**2 + 667938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*z + 0 - 71*z + 170*z - 74*z + 0.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 12. Let i be x(-16). Suppose -3*l + 291 = -i*k - 0*k, 0 = 4*k. What are the prime factors of l?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*g + 31185 - 31171 + 37*g as f + h*g and give h.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/9 + 11\/9. What is the second biggest value in 4, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 16, 9, -4, -23?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m. Let b be c(-2). Let i = 7 + b. Let a be (i\/10)\/((-1)\/6). Calculate the highest common factor of 18 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607177*i + 5*i**2 - 2*i**2 + 607177*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 - 5*q + 3. Let s be r(-4). Let y be 20\/2*(-27)\/(-6). Suppose 0 = -2*w + s*w - y. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247774389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-5*(-2 + sqrt(704) - sqrt(704)) + (4 + sqrt(704) + 0 + sqrt(704) - (3 + 0 + sqrt(704) + sqrt(704)))**2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182 - -327. Suppose 5*i + 739 = -2*x, -x = -2*i - 147 - w. What is the common denominator of (6\/(-16))\/(i\/3164) and 31\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -561, -1902, -4505, -8790, -15177, -24086?\nAnswer: -35937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 0.007 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5.5 (b) -40\/3 (c) -1\/7 (d) 1 (e) -18 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 280*o - 282*o + 13)*(2 - 2 + 2).\nAnswer: -4*o + 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -25. What is the highest common factor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**4\/12 + h**3\/3 - 5*h**2 + 36*h. Let v be s(-6). Suppose -7*l + v*l - 1050 = 0. Does 17 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -0.2, -0.5, -0.4, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 26\/3639989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 > -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1034 - 17220*g + 17220*g - 31*g**2.\nAnswer: -31*g**2 + 1034","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9340835?\nAnswer: 5, 7, 37, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*p + 1 = -5*i, 0 = -3*p - i + 10. Let b(f) = 0*f - f + p - 1. Let t = -335 + 339. Calculate b(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 50 - 125 = 0. Let y(i) = -6*i + 97. Let f be y(w). Solve 4*n + 0*t - f = -t, -5*t - 5 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 10*r - 129. Suppose -3*o + n = -167, 4*o - 89 = -n + r. What is the remainder when o is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 154*h**2 - 160*h**2 - 13*h**3 - 22*h**3 + 320*h**2 to d*h**3 + z*h**2 + p*h + y and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 1151437.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 6*x - 6. Let v be h(6). Let f(i) = -3*i + 12. Let m be f(v). Let q = 44 - m. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from ecpsesencrcssesees.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*p + 133*p - 306445 = -96*p. Is 16 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127369 (base 11) to base 14.\nAnswer: -52cc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 385\/390 - (133\/(-42) - -4)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -72*r + 2. Let z(b) = b. Give a(v) - 2*z(v).\nAnswer: -74*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279971665 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1680 and 6202.\nAnswer: 744240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/9))**7*k**(-3\/13)*k**0)**36 assuming k is positive.\nAnswer: k**(-472\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/278 and -29\/22?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 35*b + 88. Calculate u(38).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 18*s + 48198. What is the thousands digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -0.1, 15, 2.7, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1661, 5881, 12763, 22301, 34489?\nAnswer: 49321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 37 - 9*h - 67 + 7*h + 30. Let l(g) = 35*g**2 + 59*g. Give y(l(u)).\nAnswer: -70*u**2 - 118*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086119.\nAnswer: 3, 7, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 118.8 and -5.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f + 18 = 3*m, 2*f - 14 = -4*m. List the prime factors of ((-368)\/(-20))\/4*m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 - 11*o - 9*o**2 + 12*o**2 + o**3 - 12 + 2. Determine l(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 65 = 10*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.2. Let o = 1049 + -1050. Let g = -40 - -41. Which is the closest to -1? (a) g (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.4837ms in microseconds?\nAnswer: 292483.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1055520 - -1055611.997504. Let f = o + -92. What is f rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 53*d**2 - 161*d - 350. Let z be i(56). Let r be 49\/(2\/(-12)*-2). What is the highest common factor of r and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 6*a - 14. Let v be u(-8). Suppose -7 - 3 = -v*j. Suppose -i - 15 = -6*i, 160 = j*y - 5*i. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 34 = -34 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19288*c**2 - 35461*c wrt c.\nAnswer: 38576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 504778 bigger than 504776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 14) to base 8\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.7 + -8. Suppose -2*y + 17 = -11. Let g be (-26)\/y + (0 - -2). Sort g, i, 1.\nAnswer: i, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 5*j**2 + 7*j + 6. Let d be -5*(-2 - -1*(-4)\/(-5)). Determine z(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 17 + -20 + 130\/43. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfooojoojofkz. Give prob of picking 1 f, 1 o, and 1 k.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -3. Let f(z) = z - 1. Let s be f(4). Suppose 0 = s*c + c. Solve -a*o + 5 - 2 = c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c. Let y(d) = -17*d + 1. Let v(n) = -3*a(n) + y(n). Let f(i) = 5 + 8*i - 6*i - 3*i. Let j be f(4). Calculate v(j).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 4:13 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2\/31)*j**(2\/39)*(j*j**(5\/2))**(24\/11) assuming j is positive.\nAnswer: j**(114679\/13299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/(-3))\/(8\/(-303)) and -69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 4 (b) 2 (c) 1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1. Let b(i) = i**3 - i**2 + 1. What is -2*b(j) + 2*g(j)?\nAnswer: -2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -4, -1.7, -1, -2.9, -0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = -4*p + 5*w, 2*p + 6*w - w - 103 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*z + 4 = -4, 4*u - 6 = 2*z. Suppose -3*x = 2*n - x + u, -2*n + x + 7 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(10 - (7 - -7 - 65)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1027614 and 264.\nAnswer: 45215016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -620*x**2. Let r(j) = -j**2. What is s(r(n))?\nAnswer: -620*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**5\/4 + g**4\/6 + g**3\/3 + g**2\/2 + 8*g. What is v(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 1.5. Which is the third smallest value? (a) n (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1573 and -923.\nAnswer: 145.1879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720)*-1 - sqrt(720)) + sqrt(720))*6 + sqrt(50)\/(sqrt(250) - (sqrt(250) - (sqrt(250) + sqrt(250) + sqrt(250)*3))))**2.\nAnswer: 3236401\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 16 = 36. Suppose -5*u - 669 = j*t - 5168, 4*u - 3*t = 3593. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71424?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -1.01, -9, -5, 0.03, -4.\nAnswer: -9, -6, -5, -4, -1.01, 0, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411 - 209 - 4291*p**2 - 202 - 4288*p**2 + 8583*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a**2*f**3 + a**2 + 2802*a*f**3 + 3*f**3 - f - 10294 wrt a.\nAnswer: -2*a*f**3 + 2*a + 2802*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7447000 to the nearest 100000.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 246.\nAnswer: 1\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*d - 8 - 7, u - 5*d = -13. Let q = -86 - -1804\/21. Let c = -16 + 16.3. Sort q, c, u in descending order.\nAnswer: c, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -5, -3, 0, 2 in decreasing order.\nAnswer: 2, 0, -3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 3. Is k at most as big as 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*t - 99*t - 14*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92.48 - 16.62. Let z = i - 7.9. Let m = -116.999953 - z. What is m rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 117?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -3\/8 (c) 2\/47 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23018617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5152*j. Let u(m) = -7*m - 2. Calculate -o(i) + u(i).\nAnswer: -5159*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-308)\/(-55) + 4\/(-3) and 68\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**3 + g**2 - 5*g - 5. Let w(y) be the third derivative of -11*y**6\/60 - y**5\/30 + 2*y**4\/3 + 8*y**3\/3 + 12*y**2 + 3*y. Determine 16*q(i) + 5*w(i).\nAnswer: 2*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 62. Suppose -z + 4*r = -28, 5*r = -4*z + 34 - 6. Let f be (-19)\/36 - (-9)\/z. Which is the third biggest value? (a) f (b) 8 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 20. Suppose 30 = l*i - 0*i + 3*r, -2*r + 15 = i. Let b = -19 + i. Sort 4, b, 5 in ascending order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*q = -32*q - 1736 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50687\/18 + -2816. Find the common denominator of 290\/(-24) + 5\/20 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 3:38 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*-3*(-5)\/(-150). What is the nearest to -10\/9 in 2, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1995 and 10144155?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 540\/(-162)*6\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**2 - 13*l - 11*l**2 + 7*l + 4*l + 3*l**2 + 4 to the form d*l**2 + o*l + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 4. Let x = 13 - g. Calculate the remainder when 18 is divided by -1 + (x - -1) + -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 6*f. Determine l(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38086, 76016, 113946, 151876?\n\"Answer: 37930*o + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14.7 (b) 5 (c) 1861\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -124.96 and -4.\nAnswer: -128.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 17*c = 3496. Let f = c + 537. What are the prime factors of f?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 69\/1351 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k - 2. Let y(j) = 6*j + 2*j - 5 + 18*j. Let t(x) = -17*a(x) + 6*y(x). Let h(l) = 8*l + 11. Determine -6*h(p) + 17*t(p).\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4705966 is divided by 2526.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/6 + 4\/3. Let f be -2 - (-56)\/20 - g. Let f + 32\/5*p**2 + 22\/5*p + 14\/5*p**3 = 0. What is p?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80031244.99 - 16.51.\nAnswer: 80031228.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 170 = -72*o - 22, 5*o + 4 - 13 = j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + n - 8, 5*d + 4*n - 23 = 0. Let r be 3*(0 + (-2)\/6). Let i be (3 + r)\/((-1)\/(-8)). Solve -5*h + 2*a = -20, -d*h - 2*a = -4*a - i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 30710.6 and 1.5?\nAnswer: 30709.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-7)*278\/(-2502)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3*w + 11, i + 2*w = 7 - 0. Let o = 5284 + -5278. What is the remainder when 23 is divided by (-11)\/i + -4 + o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -286 + 1b80?\nAnswer: 18fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Let n(l) = -y*l + 6*l + 8 - 3*l. Suppose -45 - 46 = -13*u. What is n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + u**2 + 3*u**3 + 7*u**4 - u**4 + u**2 - 5*u**3 in the form o*u**3 + m*u**4 + r*u + g + l*u**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 3 (c) -0.3 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420591 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91439189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -19785 divided by 3\nAnswer: -6595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 611464.1ml to litres.\nAnswer: 611.4641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 = 8*b - 3*b. Suppose 0 = -p - 0*c - 5*c + 120, 3*c + 468 = 3*p. What is the highest common factor of p and b?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 107*f**2 - 3*f - 14. Let p be z(5). Suppose 2*j = -2*a + 1672, -3*j + a = 134 - p. What are the prime factors of (4\/(-6))\/((-6)\/j)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -49495600.2 to the nearest one thousand.\nAnswer: -49496000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 b when four letters picked without replacement from {y: 3, b: 3, h: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 107*u. Let s(q) = -4*q. What is s(h(j))?\nAnswer: 8*j**2 + 428*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00028057578 rounded to six decimal places?\nAnswer: 0.000281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35490.79 tonnes in grams?\nAnswer: 35490790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 6*z. Let x be m(-6). Suppose r + 2*r - 19 = -4*d, 3*r = 3*d - 30. Let y = d + x. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16001988 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 533180, 7, -5 in ascending order.\nAnswer: -5, 7, 533180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(960) - -6*(sqrt(960)*-2 + sqrt(960)))\/((-2*sqrt(90)\/sqrt(3))\/sqrt(6)).\nAnswer: -80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12102, 24203, 36304, 48405, 60506?\nAnswer: 72607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g + 6. Let d(w) = w + 1. Let n(c) = 6*d(c) - q(c). Let v(f) = -6*f**2. What is n(v(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 101 divided by -922\nAnswer: -101\/922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f = 2*p - 27*f + 9, -15 = -5*f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2) - (-12)\/(-8). Let x be i + (-22)\/(-4) - 3. Let j = 3.4 + -4.4. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14857286 or 14857280?\nAnswer: 14857286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-400)\/(-30))\/4)\/(9\/(-378)*4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 - 2*i**3 - 9*i**3 + 4*i**3 - 3*i**3 + 11*i**3 - 5*i**3.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1491 (base 13) in base 16?\nAnswer: -baf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2)\/(b**(-15)*b*b) assuming b is positive.\nAnswer: b**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + -3 + -4 + (-82324)\/(-16). Solve 3249\/4*h + 3\/4*h**3 + 171\/4*h**2 + q = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + -54. Calculate the remainder when (y - 29)*71\/(-3) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 2*v - 22 + 88, 2*x + 232 = 29*v + 1239 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4*9\/(-18)*148383\/9.\nAnswer: 2, 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68735389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9, -5, -33, -81, -155, -261?\n\"Answer: -s**3 - s**2 - 4*s + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 2*i + 23, -3*i + 23 = 85174*u - 85170*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7578*n**2 - 3764*n**2 - 4349*n**2 + (n + n - 4*n)*(-4 - n + 4) in the form w + y*n + l*n**2 and give l.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1145?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -190\/9, -5\/11, -0.1?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7390, 7373, 7358, 7345?\n\"Answer: m**2 - 20*m + 7409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20036 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0 - 10 - 4 + 2*l. Let u be p(10). Suppose 2*a - 2 = u. Calculate the least common multiple of 1 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vdde when four letters picked without replacement from edddddddvddvdddve?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2406792 to the power of 1\/2, to the nearest integer?\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3)*((-42)\/4 + (-181 - -184))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364828 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6*a = d - 20, 3*a = -3*d. Let l = 1676 - 1681. Sort 3, d, l.\nAnswer: l, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33*(15\/(26 + -11))\/(15\/(-10) + 1).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 4, -5, -2832 in descending order.\nAnswer: 4, -5, -94, -2832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d + 228*d**2 + 19 + 3 + 12. Let i be c(14). Let n be 15\/(-35) + i\/14. Round n to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1 + 1 - 310*a + 300*a. Let d(v) be the first derivative of v**4\/4 - 3*v + 2. Let g(w) be the first derivative of d(w). Calculate z(g(b)).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*j - 6 + 5 - 3*j**2 + 1 - 3*j**3 in the form k*j + a*j**2 + l*j**3 + w and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191050 and 237190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2670 and 16138014.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -18.2. Let u = -771359.99916 - -771342. Let v = l + u. Round v to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*c + 3, -13*w + 8*w + 4 = 4*c. Solve 5*g + 9 + c = 3*y, 0 = -y + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*l**3 - 37 + 44 - 7 + 78*l**3 + 63*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*s + 354 = -3*s, -5*s = -5*a + 440. Suppose 3*l + 15 = -a. Let t = l - -36. Calculate the lowest common multiple of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 5*p, -23 = -5*p + 3*d - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 252*(-3)\/(63\/(-161000)). What is p rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 10 = -5*y, -2820*q - 3*y + 6 = -2819*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-444\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/35 - 6\/(-10). Let m = 13 + -5. What is the greatest common divisor of r and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 33.1519?\nAnswer: 66.3038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 36*p**4 - 956*p**3 + 1364*p**2 + 956*p - 1400 = 0. What is p?\nAnswer: -1, 1, 14\/9, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/38)\/5*(-40)\/30.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(200))**2 + 2 - (-4 + 0 + -2*sqrt(2) + sqrt(18)\/(sqrt(36) + sqrt(9))).\nAnswer: 5*sqrt(2)\/3 + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -8 + 4 + 45 + -32\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1195852 (base 11) to base 6\nAnswer: -112224513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 19*u - 73392. Suppose -u - 12927 = -23*b. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 297.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o. Let n(k) = 184*k**2 - 101*k + 2. What is f(n(c))?\nAnswer: 184*c**2 - 101*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3682944 divided by -1112?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 22*c**2 + 50*c + 65. Let y be s(-24). Is y at least 17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*n + 2*b, 15 - 36 = -5*n + b. Let y = -6484 - -6485. Solve n = 2*k - y for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9) + (-10)\/(-6). Suppose -p*b = -6*b - 4. Let d be ((b - 0) + 1)\/(-1). Which is greater: -4\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391 - 150*k + 391.\nAnswer: -150*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/23 + ((-198594)\/(-782))\/11?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574783586 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45935455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.002 and -70.29.\nAnswer: -0.14058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -3, 8, -2, 2039 in decreasing order.\nAnswer: 2039, 8, 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 0 - 0) + -20. Which is smaller: -14 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28186, 112664, 253462, 450580?\nAnswer: 704018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -5, -2982, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 0. Suppose -2*l - 8 = -2, -5*f + w*l + 74 = 0. Suppose -5*b = 5*y - 45, 4*y = 6*b - 7*b + 24. Solve -f + 1 = -b*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w - 153 = 64*w. What is the highest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n + 1. Suppose 0 = z - 3*d + 11, d = 3*z + 4*d - 3. Let x = -10 - -17. Calculate the least common multiple of t(z) and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from {n: 2, k: 1, i: 4, e: 3, r: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t - 28. Suppose -2*j - 2*j = -56. Let n be i(j). Let s be 15*(42\/(-9) + n). Round s to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/6 (c) 13\/10 (d) 0.8 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**2. Let y(r) = -20*r**2. Determine y(c(b)).\nAnswer: -1280*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -52.44 + 53. Let n = m - 1.56. Is -106 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(2320\/(-30))*1*5\/20*2?\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y - 5*a = -20, -3*a = 3*y + 6. Let t(l) = 6*l + 2. Let w be t(y). Let d = -9 - w. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54312 is divided by 5430.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 24 + 207*b**2 + 11 - 1497*b**2.\nAnswer: -1290*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8953, -8296, -4 in descending order.\nAnswer: 8953, -4, -8296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*l - 804 = -2265 + 759 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-20))\/((4\/40)\/(20\/30)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 15197\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or -473\/7?\nAnswer: -473\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 11. Suppose t = 6*k + 271 - 799. Suppose -112 = -10*x + k. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(2\/2)\/1. Let f(d) = -4*d + 4*d - d - 1. Let x be f(y). Solve -2*u = -4*u - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172792.\nAnswer: 2, 21599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**4 + 20*o**3 + 265*o**2 + 184*o + 4. Let q(t) = 26*t**4 - 60*t**3 - 780*t**2 - 551*t - 11. Let u(j) = -11*f(j) - 4*q(j). Factor u(s).\nAnswer: -5*s*(s - 9)*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -338, -2, -148\/79?\nAnswer: -148\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - 28) + 34 - -8) + 63?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 138. Let s = q + -15. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2)*(-132)\/(-11). Let w be 1\/3 + (-26)\/a. Let f(r) be the second derivative of r**3\/6 + 2*r**2 - 3*r. Give f(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-378)\/(-11) - 2) + (-11)\/((-484)\/(-16)). What is the greatest common factor of 18432 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 117. Suppose -4*o + 325 = -9*o. Let v = o + 91. Calculate the highest common factor of v and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -4, -1099 in decreasing order.\nAnswer: 3, 2, -4, -1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/558 and -7\/10.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1786 and 4447?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l + 13775. Let y = l + -1500. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31378765 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5*-1*sqrt(198)*-5)\/(sqrt(800) + sqrt(2) + (-4*sqrt(24))\/sqrt(12)).\nAnswer: -4 + 75*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2. Let w(m) = -7492*m. Calculate d(w(k)).\nAnswer: -56130064*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 4*b + 7651 - 7656, -4*b - 7 = 3*h for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/(l*l**20)))\/l*l)\/l**(-18))**(-6\/17) assuming l is positive.\nAnswer: l**(-240\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153372145.\nAnswer: 5, 30674429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -75. Let k = s + 64. Let q(w) be the first derivative of -w**3\/3 + w**2\/2 - 2*w + 1. Give q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8412005cm?\nAnswer: 8.412005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/2, -2, 3.8, 0.06.\nAnswer: -2, 0.06, 3.8, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449513 is divided by 223?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -152 (b) 56 (c) 1\/13 (d) -7\/6 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 2*j - 1. Let p(b) = 2*b**3 - 3*b + 5. Let w(y) = -2*n(y) - p(y). Let x(t) = t**3 + 1. Determine w(m) + 3*x(m).\nAnswer: -3*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.124 rounded to 1 dp?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) 5 (c) 36\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*48\/9. Let j be o\/(-20) - (-900004)\/(-10). What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 917, 659, 403, 149, -103?\n\"Answer: l**2 - 261*l + 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1091 - -2131. Does 65 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17820)\/31185)\/((123\/4)\/(441\/(-56)))?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((6314\/44)\/41)\/((-21)\/(-204)). Solve 0 = h + 38*p - f*p - 8, -3*p + 3 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96450184429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 4 + (1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/1274 and -77\/328.\nAnswer: 208936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2579696 and -19.\nAnswer: 49014224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*z = -19, 0*h + 2*z - 13 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69461259.\nAnswer: 3, 7, 3307679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*r)*(-r**2 - 53 - r**3 + 72*r + 51 - 200*r) in the form q + d*r**3 + y*r**2 + g*r**4 + f*r and give y.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47231.3509 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(sqrt(60)\/sqrt(5)) - (1 + sqrt(117))) + 2*(sqrt(1872) + (-1 + sqrt(1872))**2).\nAnswer: -26*sqrt(13) + 3745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**2 + a. Let x be i(1). Let r(v) = -6*v + 9. Let j(m) = -5*m + 8. Let q(y) = y**3 - 12*y**2 - 12*y - 6. Let g be q(13). Give g*j(z) + x*r(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 38*d**2 - 1. Let b(g) = g**2 + 7*g - 31. Let f be b(3). Calculate k(f).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76945 = 17*l + 12838. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7*j = 3*j - 4, -5*t + 3*j + 8 = 0. Let d = -4 + t. Let f be (0\/(-2))\/(d - 1). Solve -2*b = -f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/7 (c) 1\/7 (d) 0.5 (e) 15 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.97 + -0.03. Let s be 28\/10 - (6 + -3). Let z = -7 + 6.5. Which is the third smallest value? (a) s (b) m (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1677096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22059, -44452, -67179, -90234, -113611, -137304, -161307, -185614?\nAnswer: -210219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 264\/10 + -11 + 8\/(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let a(q) = -18*q**2 + 3*q. Let r(h) = -125*h**2 + 20*h. Let k(o) = 20*a(o) - 3*r(o). Determine c(k(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922842?\nAnswer: 2, 3, 167, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*2335\nAnswer: 700.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*n + 2, -3*n + n - 3*i - 2 = 0. Suppose -3*x - 39 = -n*j, 2*j + 3*j - 3*x - 75 = 0. Calculate the remainder when 43 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 617 - 140. List the prime factors of u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.982, 3, 0.3, -1\/3?\nAnswer: -0.982","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Is 3 a factor of v\/(-4) + 19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*g = 82*g - 56. Let q(l) = -l**3 - 9*l**2 + g*l + 0 - 3*l - 2*l**2 - 9. Calculate q(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 5*k**2 - 2*k - 3. Let a be r(-3). List the prime factors of 0 + (-237 - a)*4\/(-6).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(72) + -2).\nAnswer: -6*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7*1*8\/(-84)*3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 89009*y - 81. Let b be w(9). Round b to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1615275 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f + 3*f. Suppose 3*m - f*m = 0. Solve -3*t + 3 = -m for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4657689 = 154*v - 5502615. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075779151 times -2?\nAnswer: -0.151558302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/3 and -113\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 132 (b) 15090 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let s = -2 - l. Solve 2*r + s*r = 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 254, 68, -389 in ascending order.\nAnswer: -389, -2, 2, 68, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.3, 87, 6 in descending order.\nAnswer: 87, 6, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1925590 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 147*(-18)\/(-126) - 17 - 166\/40?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 21 in decreasing order.\nAnswer: 21, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4554396, -4554395, -4554394, -4554393, -4554392?\nAnswer: -4554391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -387190 rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -3, -5, 175, -967.\nAnswer: -967, -5, -4, -3, 3, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppgqpqpg. Give prob of picking 2 p.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4*z - 1 - 8*z + 5.\nAnswer: -4*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 8*l + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.95 - 0.05. Let r = 43.1 - 46. Let g = d - r. Which is the second smallest value? (a) -0.4 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1221723145.\nAnswer: 5, 244344629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3)*13\/((-468)\/513). Let w = -1 + 1. Let n = w + 20. Is n greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 91. Suppose -5 = -r - 2*i + i, n*r = -2*i + 31. Solve -3*u - 1 + r = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 163*c - 1200. What are the prime factors of i(47)?\nAnswer: 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11 = -0*j + t, 2*j = -5*t + 15. Let l(o) = 6*o**2 + 2*o - 3. Let d be l(2). Solve 2*c + 2*f = 4*f + 10, -2*c = j*f + d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8412 + 16788 = 0. What is a rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0460877774687 and 366.\nAnswer: 365.9539122225313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 316*h**2*x**2 + 5*h**2*x + 54*h*x**2 + 50*h*x wrt h.\nAnswer: 632*x**2 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3\/63)\/(1\/(-3))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/6 - z**2\/2 - 138*z. Let p(i) = -6 + 9*i - 1 - 14*i. What is -p(d) + 4*r(d)?\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*k**4 + 18*k**4 - 39*k**4 - 2*k**4 - k**3 + k**3 + (0*k**3 + 0*k**3 + 2*k**3)*(0*k + 2*k - 3*k) + 2*k - 2*k - k**4.\nAnswer: -7*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*y - 1. Suppose -6*f + 28 = -f - y*b, 2*f - 4 = 4*b. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 9*k**2 + 11*k + 15. Let z be o(-10). Let j = 3 - z. Let c(b) = 4*b + 1. What is c(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5118279l in millilitres?\nAnswer: 511.8279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1064)\/152*((-333)\/27)\/(7\/3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4159121?\nAnswer: 409, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 952, 1880, 2808?\n\"Answer: 928*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 2*h. Let m(j) = -4 - 7*j + 3*j - 1 - 3*j. Let l(b) = 6*b + 4. Let r(w) = -5*l(w) - 4*m(w). Determine 6*r(x) - 5*v(x).\nAnswer: 5*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*p - 81 = -75, 2*p - 2 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -479 - 476 + 956. Let d(c) = c. Determine -3*d(i) - 4*t(i).\nAnswer: -3*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 45 - 5\/3*q**3 - 30*q - 25\/2*q**2. Factor i(k).\nAnswer: -5*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -256*x**3 - 2*x**2 - 7*x - 4. Let m(z) = -1280*z**3 - 11*z**2 - 37*z - 22. What is 2*m(d) - 11*u(d)?\nAnswer: 256*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103679695743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 9:02 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36075 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 16 = 50*h. Let o be 2\/(-4)*26 - 2. Let p be 3\/(-15) - (-27)\/o. Which is the biggest value? (a) p (b) -2\/11 (c) 0 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2472 = 17*y - 45074. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 9:46 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 88 * -1\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2113121*i + 982098*i - 1632529*i.\nAnswer: -2763552*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdx when three letters picked without replacement from qxdpdppdxxdqxpq?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1631440 - -114?\nAnswer: -1631323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*n - 19*n - n**2 + (3*n + 8*n + 0*n)*(-3*n + n + n) in the form i*n**2 + a*n + x and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 31\/3*i**3 + 85\/2*i**2 - 154*i + 0. Find the first derivative of f(k) wrt k.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1689169*g**3*o*p + g**3*p + 77*g**2*o*p - 3416*g**2*p - 2*o*p wrt g?\nAnswer: 10135014*o*p + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.221 - -142.221. Let f = b - 161.6. What is the second biggest value in -2, f, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 82*d**2 - 578*d + 28. Let z be p(7). Is 1\/6940 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.140450496 less than -45.51?\nAnswer: -48.650450496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -275*a**3*c*k - a**3*k**2 + 2*a**3*k + 6*a**2*c*k + 3*a**2*k**2 + 3*a*k**2 + c*k**2 wrt a?\nAnswer: -1650*c*k - 6*k**2 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 264119789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/7)*d*d\/((d*d**(1\/4)*d*d)\/d))**(-16\/5)\/(d**(-4\/7)*d**(-1\/3))**41 assuming d is positive.\nAnswer: d**(3691\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 10*b**2 - 9*b + 5. Suppose 3*c + 24 = 2*h - h, -2*c + 3*h = 9. Let y be u(c). Solve -3*v + 4*v + y = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/4220 and -89\/40.\nAnswer: 8440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -632*b**3 - 41*b - 1.\nAnswer: -3792*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116 + -72. Sort y, 5, 0 in ascending order.\nAnswer: 0, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99\/56 - -269\/168. Which is the fourth biggest value? (a) 4 (b) -2\/13 (c) 7 (d) 0.2 (e) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546247280 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795*k = -805*k + 49810. List the prime factors of k.\nAnswer: 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257256 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: How many micrometers are there in 11\/2 of a centimeter?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 5, -4.\nAnswer: -4, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 5. Suppose -z + 2*z - 10 = t. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8*m - 31 = -5*n, -5*n - m = -23. Sort n, -11, -0.01 in descending order.\nAnswer: n, -0.01, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1015772 to three dps.\nAnswer: -3.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*t - 100 = 28, 4*t - 74 = -3*h. Suppose o - 8 = -q, 5*o - h = -2*q + 2. Calculate the greatest common divisor of q and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.13 + -4.13. What is the smallest value in -0.06, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 118 + 145 = -13*y - 535 for y.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330000 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 99 (c) -5 (d) 1\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*d - 6. Let f be ((-4)\/d*-3)\/(-14). Suppose -3*p = -8*p. Which is bigger: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**8\/560 - 4*h**5\/15 + 5*h**2. Let o(a) be the third derivative of z(a). Let m(c) = c. Give o(m(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 + 68. Let k be f(0). Suppose 5*j = 40 + 45. Calculate the highest common factor of j and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/3)))**(-39)*(c*c**(1\/3))\/(c\/(((((c*c\/((c\/(c*c**(2\/9)))\/c))\/c*c)\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-8))**(-3\/8)*(s\/s**(2\/17))\/s**(-1\/4)*((s*s**(-2\/13)\/s)\/s*s)\/s**6 assuming s is positive.\nAnswer: s**(-4439\/884)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 495077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/12 + t**3 - t**2 - 3*t. Let d be 1 - (2\/(-7) - 2627\/(-497)). Determine s(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 77992 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -142.9801225 take away -5.05?\nAnswer: -137.9301225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 2*p + 32 = 9, 0 = r - 4*p + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnmknmknmnnn. What is prob of sequence kkn?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10203 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.043 - 6.963. Let t = l + -0.68. Let d = 7.600082 + t. What is d rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232 + -0.892857764?\nAnswer: 1231.107142236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (5 - 7) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.2. Let w = 0.1 - t. Let v = 0.2 + -0.2. Which is the closest to w? (a) v (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44453?\nAnswer: 44453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01957 rounded to three decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 402\/5 - 81. Let u = -6 + -7. Let z = u + 16. Which is the second smallest value? (a) l (b) z (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 2\/5, -4, 7133, 5, -380?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1610 = -4*k - 1618 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + h + 4*k = -16, -h - 4*k - 16 = 0. Suppose -4*v + h + 8 = 0. Let m(l) = l**3. What is m(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4cb720 - 2a?\nAnswer: 4cb6c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + -1. Calculate the common denominator of ((-244)\/l)\/(8\/10) and -59\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168713375?\nAnswer: 5, 1349707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 6:17 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1201453 and 1322101?\nAnswer: 5027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1100))*-4 - sqrt(1100))**2 - (0 + (sqrt(1100) + -1*sqrt(1100) - sqrt(1100))**2)) + 4.\nAnswer: 400*sqrt(11) + 26420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24.7, 2, 0.71, -0.3 in increasing order.\nAnswer: -24.7, -4, -0.3, 0.71, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - 0. Let c(f) = -315*f + 3. Is c(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4)*g)\/g**(-14))**(-2\/27) assuming g is positive.\nAnswer: g**(-61\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 38 = 12*x. Let n be (-12977)\/(-76) + (x - 5\/(-4)). Calculate the highest common factor of n and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 314*x + 280*x - 592*x. Suppose -2*u + 45 = -5*p + 10, 5*u - 35 = 2*p. Let g(a) = a + a + u*a. Determine g(i(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*h**2 - 17*h + 18*h + 1414*h**2.\nAnswer: 1647*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21959393*x**4 + 1348*x + 7272 wrt x.\nAnswer: -263512716*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-9)\/(-2)))\/((-2)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 129.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2\/2 + 300*x + 605\/2.\nAnswer: -5*(x - 121)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13989*z**5 + 2837*z + 3 wrt z.\nAnswer: -279780*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/1)*((-3744)\/(-364))\/24.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*4 + ((-91)\/(-65) - 5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 times -17237.4?\nAnswer: -344748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 + -100010011?\nAnswer: -100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3\/10 + 11*m**2\/5 + 79*m\/10 - 51\/5 = 0.\nAnswer: -17, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 666600 times 10?\nAnswer: 6666000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -j**6\/40 - j**4\/12 + 3*j**2\/2 - 3. Let z(r) be the second derivative of d(r). What is the second derivative of z(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 + 134*x + 29. Let r be n(27). What is the nearest to -1 in -1, -1\/8, r, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.6 - 7.5. Suppose 0 = 5*r + 7*r + 48. Let h = 19 + r. What is the nearest to p in h, -3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 29. Let g(n) = n**2 + 4*n - 3. Let y(w) = -w**2. Let p(a) = g(a) - 5*y(a). Let x be p(-4). What is the highest common factor of t and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10513 + 10534. What is the remainder when 3473 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**24\/(c\/(c\/(c**(2\/5)\/c*c))) assuming c is positive.\nAnswer: c**(118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*3*(-2)\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820*y + 8 = -816*y. Suppose 4*c + 534 = 2*n, -2*c + 279 = -n + y*n. What are the prime factors of n?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(-2)\/(-3) - 4. Let q be (-1)\/(3 - 1\/f). What is the smallest value in -2, 1, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, s: 6, c: 1, e: 5}. What is prob of picking 4 s?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1342 - -1349 - (-2)\/(148\/(-514)). What is the third smallest value in g, 0.2, 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3929, -7857, -11781, -15701, -19617, -23529, -27437?\nAnswer: -31341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 189569363?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -76 + -254?\nAnswer: -2ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 4*f + 2*w - 69, 3*w - 64 = -f. What is the remainder when 190 is divided by f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2597, -5445, -8293, -11141, -13989?\nAnswer: -16837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 9. Let c be q(7). Let y = c + 31. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 280 + 70 = 0. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 0*m**4 + 0 + 3*m - 1\/30*m**6 - 1\/6*m**3 + 0*m**5 + 0*m**2. What is the second derivative of p(d) wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 118 - 1484\/13. Let n = p - 691\/156. Let y = n + 17\/36. What is the common denominator of 67\/2 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346 + 3082*v**2 - 362 - 3081*v**2.\nAnswer: v**2 - 708","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1410, 4149, 8714, 15105, 23322, 33365, 45234?\nAnswer: 58929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -416.75+-1.1286\nAnswer: -417.8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {z: 1, y: 2, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -426262 - -8.37458.\nAnswer: -426253.62542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -i + 78, -5*c + 58890 + 58879 - 117921 = -9*i for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 440563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 6*l**2 + 2 - 8*l**2 - l**2 + 9*l**3. Calculate the remainder when m(2) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssot when four letters picked without replacement from dowwsttwoodds.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 37332874 less than 37332875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 25859 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjvj when four letters picked without replacement from {r: 1, j: 2, v: 2, q: 1, h: 1, k: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2951282 and 30178?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180314.\nAnswer: 2, 3, 23, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 8:25 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-81)\/(-2) + (-3)\/(-6). Suppose -11 - 18 = -o + 3*n, -4*o - 3*n = -s. Calculate the greatest common divisor of o and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -64, -163, -354, -667, -1132, -1779?\nAnswer: -2638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - m**2 + 6*m**2)*(5 - 501*m - 6 - 301*m).\nAnswer: -1604*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -30*m + 75, 0 = -f + 2086*m - 2087*m + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -0.3, 8, -503, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 - 117. Let t(r) = 2*r**2. What is i(t(q))?\nAnswer: -8*q**4 - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 65*o**2 + 8*o + 21. What is the units digit of z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3 - 4*d + d - 29 - 26. Let b(x) = x**3 - 2*x**2 + 5*x - 4. Calculate the lowest common multiple of b(3) and h(-22).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + ((3*sqrt(208) - sqrt(208)) + 1 - sqrt(208)) + sqrt(208))**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 - -180. Calculate the highest common divisor of 90 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*304\/(-3990)*(-7)\/38.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -431\/5, 0.2, -12, -1\/6, -2 in decreasing order.\nAnswer: 0.2, -1\/6, -2, -12, -431\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-13 - -37 - 13) - -18.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 2*l + 6. Let o(x) = -x**3 - 3*x - 5. Let p be ((-3)\/1 - 42\/(-14)) + 6. What is p*o(c) + 5*r(c)?\nAnswer: -c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -20 + 5 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 d when two letters picked without replacement from dzhhvizikkhihhi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 10*f**2 + 17*f - 64. Calculate a(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 364?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*(f*(f*(f**(-11)\/f*f)\/f)\/f*f)\/f)\/f)\/(f**(-4\/17)*f))\/(f*f**(-1\/29))**(1\/5))**(3\/2) assuming f is positive.\nAnswer: f**(-44214\/2465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40172 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:58 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 860\/30*(-546)\/1820?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9795.\nAnswer: 3, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -44. Let n = -19 - q. Let x = -20 - n. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*x - 20. Suppose -5*u + 20 = 35*h - 39*h, -2*u = 2*h + 10. Solve u = 4*s - 3*s - x for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 - i**2 + (-i - 1 + 1)*(1 - 1 + i) - 3*i + 6*i - 2 - 35*i**2 - 118*i**2 - 2*i + 2*i + i**2 in the form s*i**2 + g + b*i and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238957000 and 2879.\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 0.1 (c) -1 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 7*b**2 + 4864*b - 19402. What is x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 20*y - 5*y to the form j + q*y and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**7\/105 - m**6\/60 - m**5\/15 - 63*m**2. Determine o so that y(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-11) - (41\/(-2255))\/((-2)\/(-3530))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55484503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14628 (base 9) to base 11\nAnswer: 7561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x + 45\/2*x**2 + 2 - 5\/6*x**4 + 5\/2*x**3. Find p such that v(p) = 0.\nAnswer: -3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 13*s + 18. Let p be t(14). Suppose -4*i + 25 + 5 = 2*f, -3*f - 4*i + 35 = 0. Solve f*x + 10 = 2*a, -2*a = p*x + 2*a + 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 (base 14) in base 5?\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (14 + 1)\/(-3). Let z be (-3419)\/(-3069) + 6\/(-9). Let o = 1\/341 - z. Which is the third smallest value? (a) 2 (b) y (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 2:33 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2856*f*j*s**3 + 449*f*j*s + 5*f*j + 276046*f wrt s?\nAnswer: 8568*f*j*s**2 + 449*f*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**4 - 78978296*c**3 + 236934864*c**2 - 236934856*c + 78978284 = 0.\nAnswer: 1, 19744571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239 * 0.11.\nAnswer: 26.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.4 (b) -4 (c) 0.1 (d) -2 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 5\/(55\/33))\/(2\/(-4)). Let v(o) be the second derivative of 0*o**3 + d*o**2 + 30*o + 0 + 1\/12*o**4. Differentiate v(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -9. Let r = s - 9. Suppose -39*o - 33 = -38*o - 5*j, 2*o - 54 = -5*j. What is the greatest common factor of r and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01509 - 3.98491. Let f = 3.06 - 0.06. Sort 0.2, 1, f, m.\nAnswer: m, 0.2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 - f**2 + 3*f**2 + (0*f**2 + 2*f**2 + 0*f**2)*(0 + 0 + 2) + (0*f - f - f)*(-4*f + 2*f + 0*f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-13)\/(-7))*(-109)\/((-1308)\/(-4536)). Are c and -312 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -711, -6811, -23413, -55767, -109123?\n\"Answer: -875*t**3 - t**2 + 28*t + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1800 and 133\/765000.\nAnswer: 765000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g*j**2 + 1135*g*j - 353974*g + 2*j**2 + j wrt j.\nAnswer: -6*g*j + 1135*g + 4*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:11 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (-24710)\/(-686) + (4 - 0) - (-7 - 2).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/3)*f**(1\/2)\/f*f**3\/(f**4\/f)*(f**(1\/3)*f**(-2\/5)*f)**(-2\/37) assuming f is positive.\nAnswer: f**(-241\/1110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*j + 10, 2*o + 21 = 5*j + 6. Suppose o*u - 788 = u. Is 15 a factor of u\/13 - (-14)\/(-91)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*n + 879 = 855, -2*u = 2*n + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 65*m. Suppose -1181 = -3*i - 1175. Let n(u) = -2*u**2 - 2*u**2 + 7*u**2 - 2*u**i - 4*u**2. What is w(n(g))?\nAnswer: -195*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 127041 and 1?\nAnswer: 127041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -4c?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 360*q + 2 - 2 - 365*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11722 + 17322. Round y to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102375 divided by 3\nAnswer: 34125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 68*j - 37*j + 36 + 31. Let k be w(-30). Solve 3*r + 13 - k = 5*o, 4*r = -2*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -18*v - 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 28*a + 266 = -534 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 742 = 702 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47072, 47258, 47444, 47630, 47816, 48002?\nAnswer: 48188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 10. Let x = -1 - y. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1372263300 to the nearest one million.\nAnswer: 1372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**5\/190 + f**4\/19 - 21*f**3\/19 + 108*f**2\/19 - 1310*f + 1. Factor p(h).\nAnswer: 2*(h - 3)**2*(h + 12)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -19 (c) 1\/292\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*u - 12, -2 = -2*u - i - 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/((-3)\/((-27)\/6) + -2). Which is smaller: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + 0*j)*(1 + 2 - 1 - 5 + 2 + 2 + (2 + 1 - 2)*(-2 + 0 + 3)) + j + 5*j - 3*j - 124 + 10*j + 124.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 779435652 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-five quarters of a litre?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -3. Let g(h) = h - 1. Let c(r) = -2*r + 2. Let l(v) = -2*c(v) - 5*g(v). Let f(o) = 2*o - 4. Calculate t*f(a) + 4*l(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220201 + -102012220122?\nAnswer: -102020211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by 332.\nAnswer: -247\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 12:59 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4904 + -4268. Calculate the highest common factor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -150. Suppose 0 = -2*n - 0*n + c + r, -2*c - 297 = -5*n. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 37*w**2 - 13*w - 64. Suppose 558 = 4250*p - 4219*p. Calculate g(p).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*b**2*p**3 - 3*b**2*p**2 - 23*b**2*p + 35*b**2 + 4*b*p**2 + 174*p**3 + 2 wrt b.\nAnswer: 24*p**3 - 6*p**2 - 46*p + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 988.8491l in millilitres?\nAnswer: 988849.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-12)*1*4. Let t = v - 1. Suppose -3*x + 0 = t*o - 27, 5*x - 37 = -4*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahaaauaa. What is prob of sequence hu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 6:31 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -8, -517, 3 in descending order.\nAnswer: 3, 2, -1, -8, -517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61605133?\nAnswer: 53, 1162361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x**2 - 4. Calculate p(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55890.81 kilograms to milligrams.\nAnswer: 55890810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46257740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3))**(-6\/7)*(m\/(m\/m**(-27)))\/(m*m*m**(-29)*m*m) assuming m is positive.\nAnswer: m**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:38 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 - (18 - (-8 + 18 + -2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**3 + 10*c**2 - 5*c - 10 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 21*u**2 + 224*u**2.\nAnswer: 241*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-5)\/(-3) - 2). Let b be (-1)\/((q\/4)\/(-1)). Suppose b*o = 2*o. Solve i + 2 + 0 = o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 9*x**4 - 5*x**3 - 5*x**2 - 19. Let d(z) = -18*z**4 + 9*z**3 + 9*z**2 + 39. Let s(p) = 5*d(p) + 9*k(p). Differentiate s(a) wrt a.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (44\/(-6))\/(2\/(-21)). Suppose 4*w + 2*y - 224 = 0, -w = 2*w - 5*y - 142. Let x = t - w. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 2. Let n be x(2). Suppose -g + n*g + 11 = 0. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -224 + 229. Solve -r - v = 0, w + 20 = -r - 4*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -9*i**8\/7 + 13*i**4\/2 + 5*i. What is the third derivative of t(b) wrt b?\nAnswer: -8640*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 - 2 = 0. Suppose 0 = -v*n + 3*n - 6. Suppose 4*o + s - 67 = 41, -4*o + 112 = 2*s. What is the remainder when o is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*l = 0. Solve -5*i - 4*p - 1 = 25, l = -2*i - p - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 1. Let z be y(-7). Let h(r) = 11*r**2 - 23*r - 6. Let s(p) = 4*p**2 - 8*p - 2. What is z*h(x) + 17*s(x)?\nAnswer: 2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 8 = 2*f. Let m be ((-1)\/(-4)*0)\/(12 - 11). Let l be (-1 - m) + (3099 - f). Round l to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 11 = 5*u, -10*n - 13 = -5*n + 4*u. Is 26*(n\/5 + (-12)\/(-10)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39407?\nAnswer: 157, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m - 25. What is the tens digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*p, 35*z - 18 = 31*z - 2*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(12 + (-986)\/85).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8699, 8692, 8671, 8630, 8563?\nAnswer: 8464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-8)*(10080\/(-1700))\/(-84).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793556.\nAnswer: 2, 29, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.87443 microseconds in milliseconds?\nAnswer: 0.00087443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189 = -100*s + 47*s + 1196 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89904*d**3 + 298602.\nAnswer: -269712*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -0.0558 (c) 0.3 (d) 379\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/4*(96\/(-84) - -1). Sort 0.4, -2, s, 0.064, -16 in decreasing order.\nAnswer: s, 0.4, 0.064, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -455 + 2431. What are the prime factors of 8\/(-24) - (-2 + v\/(-6))?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 234312655 + -146555028. Let g = x - 60157627. Round g to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3211\/1650 - -88\/75. What is the common denominator of 71\/22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 4, -3*s - 2*i = -s + 362. Let q = s - -208. What is the remainder when 250 is divided by q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -3, -5, -5010, -18, 1 in descending order.\nAnswer: 2, 1, -2, -3, -5, -18, -5010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 7*w**2 + 9. Let x be k(-7). Suppose -x = -5*m + 3*z, 5 = -5*m - 2*z - 1. Suppose m*d + d = 11. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2666703 and 547521.\nAnswer: 3939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/402 and -5\/3417?\nAnswer: 6834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-842*f - 1061*f + 227*f - 927*f + 357*f)*(-3 + 3 + f) as l*f + u*f**2 + v and give u.\nAnswer: -2246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1965675 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1715 and 3185.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 699 = -36. What is the highest common divisor of 35 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g + 1140. Let u be ((-2)\/6)\/(2\/g). Let t = -63 + u. What is the highest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/(-8))\/(-7))\/(2043\/(-38136)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -155, -157, -159?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = 0, 0*v - u = 2*v - 758. What are the prime factors of -1*v\/6*-2?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93)\/72*-4 + -5. Let a = -5.15 + 0.15. Put a, n, -1\/11 in increasing order.\nAnswer: a, -1\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 222 + -217. Solve l*w - o + 11 = 0, -w - w + 5*o + 14 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232 divided by 80\nAnswer: -29\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10822567549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5616 less than -5616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -212778 or -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 9:49 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**16\/b*b**(2\/19)*b assuming b is positive.\nAnswer: b**(306\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -520179 divided by 154\nAnswer: -47289\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12520 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/32?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55778, 111573, 167368, 223163, 278958?\n\"Answer: 55795*h - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -12871\/291 and -43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(-14\/11)*g*g))\/(g**2*g) assuming g is positive.\nAnswer: g**(-41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*4\/(-16)*((-585)\/(-27))\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {p: 3, l: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2987\/8 or 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 5. Let g(m) = 26*m - 26. Let k be (14 - 8) + 16\/(-8 - -6). Calculate k*g(t) + 11*c(t).\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 3*a - 5. Suppose -3*u = s - 17, u - 23 = 3*s - 4. Suppose -2*p + 6 = 4*k, -4*p = 5*k - p - 6. Let q = k - u. Calculate m(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 15 - 52 = 11*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520149752 a multiple of 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1. Let m(k) = k - 3. Suppose -3*p + 47 = -5*t + 2, -4*t - 63 = 3*p. Let b(s) = t*a(s) - 4*m(s). Let g(j) = 2*j**2. Give b(g(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*n**3 + n**3 - 2*n**3 + 0*n**3 + (13*n**2 - 20*n**2 - 13*n**2)*(-7 - 14*n + 7).\nAnswer: 282*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 12. Suppose -q*j + 10*j - 100 = 0. Let z = j + -14. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from sodcdtccdswcdds?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -12*n**2 - 2*n - 174. Let s(d) = -5*d**2. Determine z(s(a)).\nAnswer: -300*a**4 + 10*a**2 - 174","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3094 or 2858?\nAnswer: 3094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34205*a*n - 28454*a wrt n.\nAnswer: 34205*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153728825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 4*q + 3*q)*(-4*q + 4*q + 2*q) - 2*q**2 - q**2 + 5*q**2 + (-2 - q + 2)*(-3*q + q + 0*q).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**10*x*x\/(x**8\/x)*x)\/(x**(3\/5)*x\/x**1) assuming x is positive.\nAnswer: x**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 952*d + 201*d - 10377 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 13*d + 10. Calculate m(-5).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 11*c**2 - 6*c + 10. Let z be n(6). Suppose 4*k - 13 = 3*q, 1 + z = 4*k - 5*q. Solve 2*m = k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = 3*x + 2, 2*y = 3*x + 7. Suppose 4287 = 11*f + 4298. Sort f, y, -5, 4 in descending order.\nAnswer: 4, f, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17545720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1525\/7 in -68, 98, -4?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-58) + (-15934887)\/(-783).\nAnswer: 47, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1293 and -52\/99?\nAnswer: 42669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000595115 rounded to 5 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 81, -102, -391, -822, -1431, -2254, -3327?\nAnswer: -4686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of -5*w**4\/24 - 2*w**3\/3 + 3*w**2\/2 - 6. Let a(v) be the second derivative of k(v). Find the first derivative of a(p) wrt p.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 180 - ((-1188)\/(-306) + (-2)\/(-17))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 20 = m. Let j(r) = -r**3 - 3*r**2 + 5*r - 2. Let a be j(m). Let g = a + 10. Calculate the remainder when 10 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h**2 - 4*h + 7. Let y be d(-4). Let v be -2 + (y - 3)\/(-4). Suppose -3*m + v = x, -4*x + 9*x + 5 = -2*m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -587.5 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71229.68nm to micrometers.\nAnswer: 71.22968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 12*t**2 + 5*t. Let y(l) = 23*l**2 + 9*l + 1. Give -5*m(n) + 3*y(n).\nAnswer: 9*n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -10942159 at least -10942156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16da7 (base 14) in base 7?\nAnswer: 326600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 6*k + 5. Let z be (-16)\/6*(-11 + 8). Suppose -7*b - 4 = -z*b. Suppose -4*u + 5*m = -b, 4*u - m - 15 - 5 = 0. Determine s(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/(-25) - 21\/5. Let w be (504\/(-90))\/(2\/v). Suppose w*m + 6462 + 594 = 0. Round m to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 277*p**2 - 10454*p + 85. Calculate q(-45).\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/(3024\/(-90))*80.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 3*o - 3. What is z(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2086?\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from -294.9503936.\nAnswer: -294.3503936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1190, 2397, 3614, 4847, 6102, 7385, 8702?\n\"Answer: i**3 - i**2 + 1203*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 6*b**2 - 6*b - 7. Let n be p(-5). Let c(z) = z**3 - 14*z**2 + 11*z + 16. Let o be c(13). Let m be (-8)\/o + (-234)\/(-195). Sort -4, n, m.\nAnswer: -4, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66617, -266483, -599589, -1065935, -1665521?\nAnswer: -2398347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**0*d)*d\/d**(2\/3)*(d**8*d)\/((d**4\/d*d)\/d) assuming d is positive.\nAnswer: d**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.5 + 2. Let w = -0.39 - -0.562. Let h = w - 0.072. Which is the third biggest value? (a) o (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 2, 14081668?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1004 (base 11) to base 14\nAnswer: -6b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*f**2 + 12*f + 64*f**3 - 122*f**2 + 2*f**3 + 0*f + 209*f**2 to k + s*f**3 + l*f + g*f**2 and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 6*n = -2*n + 13*n. Which is smaller: n or -3\/1826?\nAnswer: -3\/1826","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -5 (c) -2067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 2*s**2 - 3*s**2)*(3*s - 4*s + 2*s) + 2*s**3 + s - 3 - 5 - 15.\nAnswer: 3*s**3 + s - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 - 7*u + 27. Let f be p(-5). Suppose f*z + 6*z + 252 = 0. Which is the third biggest value? (a) 0.01 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 307*p**2 + 126*p + 4255. Give i(153).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) - (5*(sqrt(130) + sqrt(130) + sqrt(130)*-2) + sqrt(130)))*5)\/(sqrt(90)\/(sqrt(9) - (sqrt(9) + sqrt(99)\/sqrt(99)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 49*a + 2*t, -583 = 4*a - 3*t - 598 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) -0.01 (c) 4 (d) -3 (e) -1556 (f) 0 (g) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**9\/60480 + h**8\/10080 + h**7\/5040 + h**6\/360 + h**5\/6 - 12*h**2. Let q(u) be the third derivative of g(u). What is q(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 53. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -657 (b) 3\/11003 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508517 take away 15.54?\nAnswer: 1508501.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 36. Suppose -2*u - c = -5*i, 3*i - 3 + 1 = -u. What is the common denominator of (u\/12)\/((-6)\/(-82) + 0) and 11\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-4 + 3)*(128 + -2). Let x = b - -386. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118.3 + -118. What is the closest to -4\/5 in -1, c, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i + 133. What is q(12)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 + 87 - 63)*(-14*b + 12*b + 5*b - 3*b**3).\nAnswer: -315*b**3 + 315*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = 4*w + 9, 3*j = -5*w + 125. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-450)\/(-1300)*2)\/((-9)\/3)\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, p: 1, b: 2, q: 1, s: 3, u: 7}. Give prob of sequence qu.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x - 10. Let z be u(-4). Let b(y) = -y**3 + y. Let a be b(-1). Suppose a = 3*w - 6*w + 36. What is the highest common divisor of w and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 0 - 3\/4*h**2 + 0*h - 1\/4*h**4.\nAnswer: -h**2*(h + 1)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -u + 13, 0 = -5*u + 17*r - 15*r - 3. Let d be (-10)\/u*(-186)\/620. Let -3\/5*b**4 + 3*b**d + 12\/5*b + 0 - 24\/5*b**2 = 0. Calculate b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 9*k - 57. What is the remainder when 93 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054 is divided by 86?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 307070.\nAnswer: 307070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.6 in 8, -2\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -218, -864, -1940, -3446, -5382, -7748, -10544?\n\"Answer: -215*f**2 - f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11017, -11009, -11003, -11005, -11021, -11057?\nAnswer: -11119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g - 12. Suppose -4*s = -9 - 3. Calculate the lowest common multiple of s and i(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/336 + l**6\/40 - l**5\/30 + 4*l**2. Factor b(r).\nAnswer: -r**2*(r - 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1026960 and 97\/4107840.\nAnswer: 4107840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 < 3604?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.7. Let f = -115 + 115.5. Which is the closest to l? (a) -2 (b) f (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41850 + -284870. Let a = t + -1246980. What is a rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*m = 1403*m - 62239 + 19445 - 42067 for m.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1319 - -397. Let s = 269 + r. Let p = s + 653.000000303. Round p to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -27*d**2 + 3 - 64*d**2 - 3 - 24*d**2. Let h(k) = 34*k**2. Calculate h(i(n)).\nAnswer: 449650*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5 - 5. Let q = h - 140. Let k = q + 230. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/1*(-1)\/(-2).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 33\/8 (c) 3 (d) -0.2 (e) 1\/2 (f) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = b + 3*s, -5*b = -0*b - 2*s - 5. Let j(c) be the first derivative of -11*c**3\/3 - 1. Give j(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d - 14. Determine f(-6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2931 - 1949 = 310*x + 1630 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkkkokkookok. What is prob of sequence oo?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -97*s**4\/8 + 24*s**3 + 2*s**2 + 154*s. What is the derivative of a(f) wrt f?\nAnswer: -291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -75. Is a a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7615 (base 11) in base 2?\nAnswer: 10011101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196 - 220. Let v be 1 + (-2)\/1 - (j + 29). Let a(u) = -7 + 2 + 6*u**2 - 1 + 3*u + u**3. What is a(v)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 14 = -8. Let q(t) = -t**3 - 7*t**2 - 7*t - 1. Give q(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 10:34 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 324458107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/5 of a millisecond?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2758*v**2 - 2*v - 5532*v**2 + 2767*v**2 - 2 to x*v**2 + k + m*v and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011089981171 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 381261354 to the power of 1\/2, to the nearest integer?\nAnswer: 19526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/3185 and 89\/70070.\nAnswer: 70070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1900478546?\nAnswer: 2, 23, 61, 127, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*c = -296*c - 1930 - 1015 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 4*x + 28 = 51*t - 105*t + 56*t, x = -3*t + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7167787 is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + sqrt(245) + -1*sqrt(245).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14698144823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2625, 5237, 7853, 10473, 13097, 15725?\n\"Answer: 2*a**2 + 2606*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/23 - 43\/69. Suppose 20 = 4*t, 0*t = 5*h + 5*t - 50. What is the nearest to 2\/5 in 4, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u)*(1 - 2 + 3)*(15*u - 165 + 165) + u**2 + u**2 - u**2.\nAnswer: 61*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 786 + -762. What is the least common multiple of v and 258?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 523027, 1046053, 1569079, 2092105, 2615131, 3138157?\n\"Answer: 523026*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31601 - -37745. Does 128 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2)*(5 - 4 - 3)*(4079*i - 11984*i - 15*i - 10570*i - 23629*i) to the form h*i + f and give h.\nAnswer: 168476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 37*t + 94 = -36*t, t = 2*q - 191. Suppose -p - 4*p = -q. What is the remainder when 284 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/9 (b) 2 (c) 1\/2 (d) -0.03 (e) -1 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.899 + 0.101. Let z = 2436 + -2436.2. Which is the nearest to z? (a) -3 (b) 0.1 (c) r (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 10*t**2 + 6*t + 10. Determine w(-10).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 - (3 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.22, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29885 + 47843. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/141)\/(283\/(-79806)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4714*m - 4709*m + 2*b + 7 = 0, -39*m - 41 = 2*b for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112215 divided by -22443.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -134*w + 8*w**3 + 2*w**2 + 6405 - 6*w**3 - w**4 - 6406 as k*w**4 + p*w**2 + m*w**3 + o + z*w and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven eighths of a millisecond?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}