diff --git "a/data/dm_maths/full_data_2/10884_11255.jsonl" "b/data/dm_maths/full_data_2/10884_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10884_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of (-903)\/(-11223)*96\/56?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -25788 (base 15) in base 7?\nAnswer: -1006232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 5. Let f(t) be the second derivative of -1\/2*t**2 + 0 + 7*t. Let s(p) = -p**3 - 3*p**2 - p + 2. Let x be s(-3). Give x*f(a) + z(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*g**3*j*q - 2*g**3*j - 46*g**3*q + 85*g**3*z - 2*g**2*q*z - 12*g**2 - 3*g*j*z + 251*q*z wrt g?\nAnswer: 204*j*q - 12*j - 276*q + 510*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/31, -172396, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swsq when four letters picked without replacement from wwwwqwqnswsw?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16485 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, 102397 in decreasing order.\nAnswer: 102397, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 2:43 AM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k. Suppose -2*j - 10 = -g - 4*j, 5*g + 4*j = 20. Let w be l(g). Put w, -1, 9 in ascending order.\nAnswer: -1, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -204, -203, -202?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 22 = 5*t. Calculate the remainder when 41 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 43 = 37. What is the closest to -0.5 in 0.3, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -71, -4\/3, -2, -17.6?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*s = -712308, 18*r + s + 890385 = 23*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u**3 - 7*u**3 - 21*u**3.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 + -0.63. Let o = -0.28544 + -0.11456. Which is the nearest to 3? (a) m (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 27. Let l be (10\/25)\/(1\/10). Suppose d + 5 = -0*r - r, -5*r = l*d + 24. Sort o, r, 2.\nAnswer: r, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/3 + 178*a**3 - 53822*a**2\/3 - 178*a + 17940 = 0. What is a?\nAnswer: -345, -1, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 162*q - 7372. What is k(199)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 16*n + 38. Let u(t) = t**2 - 3*t - 16. Let l be u(0). Calculate the remainder when 186 is divided by z(l).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t*t\/(t\/t**(-1\/4))*t)*t*(t\/(t**(-2\/9)*t*t))\/t)**15 assuming t is positive.\nAnswer: t**(-635\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -1.6. Let z = 4.9 - w. Let y = z - 3. Which is the smallest value? (a) 0 (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**2*((o\/(o\/(o\/o**(-7\/3))*o))\/o)\/o)\/((o\/o**8)\/((o\/(o\/((o**4\/o)\/o)))\/o)) assuming o is positive.\nAnswer: o**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 522, 1, 2, -3\/2, -14, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*c + 262*c - 132*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.60299 to 0 dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -23*l + l**2 + 16 + 26 + 0*l**2. Let p be v(17). Let f = p + 56. Sort 3, -0.4, f.\nAnswer: f, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 35?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*z + 1936 + 2729 = -62*z + 1515 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100322\/5 + 20172. Let r = -108 + u. Is r equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 797 - 788. Solve 3*h - f*h - 6 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1232, 2431, 3604, 4751, 5872, 6967?\nAnswer: 8036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 314085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1897*b**3 - 1897*b**3 - b**6 + 198*b**2 + 98*b**5 wrt b?\nAnswer: -120*b**3 + 5880*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -784*i**4 - 31472*i**3 - 369380*i**2 - 1024144*i.\nAnswer: -4*i*(i + 4)*(14*i + 253)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3572235 and 317532.\nAnswer: 14288940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 - 4*w - 20160*w**4 - 1 + 20180*w**4 - 1 to the form l*w**2 + j*w**3 + y*w + p + o*w**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/298 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -20668 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12576 or 12564?\nAnswer: 12576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18)*z**(-15\/8)\/z*z)**41 assuming z is positive.\nAnswer: z**(-6519\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/40)\/(6\/45).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 573*b**2 - 333*b**2 + 1493*b**2.\nAnswer: 1733*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 + 52*o\/3 - 46.\nAnswer: -2*(o - 23)*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 - 2.4. Let h = 2 + g. Let x be 1\/11*-2 - 0. Which is the closest to 0.2? (a) h (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*i = -1229 + 1280, -4*i = -g - 93 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-3))\/(6\/(-9)). Suppose 65 = 4*i - 5*v, 2*i + 19 - 62 = -v. Solve -5*s = 2*b + i, -2*b = -2*s - y - 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -3\/76, 5, -250 in ascending order.\nAnswer: -250, -1\/6, -3\/76, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 4 = 10*h. Differentiate -s**h - 29*s - 2*s**4 + 36*s + 2 + 12 with respect to s.\nAnswer: -12*s**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050423 (base 10) in base 12?\nAnswer: -427a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/9, 4, 422, -5, -80 in decreasing order.\nAnswer: 422, 4, 2\/9, -4, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 53, 112, 185, 266?\n\"Answer: -o**3 + 16*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 1:30 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - q - 6. Solve -5*s = -2*o - 21, -4*o - 25 = -5*s + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 10. Let o = 18 - a. Suppose -i + 0 + 1 = 0, 2*t - 4*i = o. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -112\/117 or -1?\nAnswer: -112\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023313212 - -33?\nAnswer: 1023313311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 2. Let g(w) be the first derivative of 7*w**3\/3 + 1321. Determine i(g(u)).\nAnswer: 7*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzzjppz. What is prob of sequence jz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -10 - -24 - (-2703)\/(-212).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*j - 169*j - 190*j + 118*j**2.\nAnswer: 118*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -1733?\nAnswer: -1729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**2)**(-9)\/(n**8*n*n**4) assuming n is positive.\nAnswer: n**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o + 64. Let c(a) = -3*a + 64. Let r(p) = -4*c(p) + 5*i(p). Let m be r(0). Is 67 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -18, 51 in descending order.\nAnswer: 51, -18, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 2.73, 1.\nAnswer: -6\/11, 1, 2.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 2\/7 (b) 3 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1565, -3144, -4737, -6344?\n\"Answer: -7*q**2 - 1558*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -41\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 0*i + 7*h = 29*h + 127, 77*i + 1299 = 2*h for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Suppose 3*s - 8 - 10 = v. Suppose -k + 4 = -s. Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3150?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5116486.\nAnswer: 2, 2558243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122\/5 less than -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0514 and -0.1419?\nAnswer: 0.00729366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 967, 982, 1007, 1048, 1111?\n\"Answer: s**3 - s**2 + 11*s + 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -581261?\nAnswer: -581265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21 greater than or equal to 222061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.076 and 144.123?\nAnswer: -10.953348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -83, -79, -73, -65?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30651, -63061, -95481, -127917, -160375, -192861, -225381, -257941?\nAnswer: -290547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 - 18*x + 32. Let k(n) = n**3 - 9*n**2 - 46*n - 88. Let g be k(13). Give o(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**27*((k\/k**(1\/6))\/k)\/k**7)\/(k**(-4)*(k**4*k*k)\/k)**47 assuming k is positive.\nAnswer: k**(-325\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 2:52 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/250*-5 + (-22)\/(-30). Let y = 42.58 + -44. Let i = y + 0.12. Which is the biggest value? (a) w (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.1305, -34\/109?\nAnswer: -0.1305","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1424?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -5, -3.34, -3\/4, -22307?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -293*x - 5032. Calculate a(-16).\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*y, -y = -3*u - 4*y + 27. Let k = 7 + 1. What is the smallest common multiple of u and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j + 20*j - 12*j + 39.\nAnswer: 32*j + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 44494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 + -30. Suppose g + 1 = -3*k - 0, 0 = 2*g - 8*k - 68. What is the remainder when x is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w**2 - 5*w - 4. Let c(n) = 3*n + 2 - 2*n - 3 + 2. Calculate 6*c(y) + i(y).\nAnswer: 3*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1419 + -1c?\nAnswer: -1437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 2:19 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1137 - 1141. Let k = 27.5 - 21. Let m = -6 + k. Which is the nearest to -0.2? (a) 5 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 4 + 1 - o - 1. Let h(p) = -7*p**2 - 2*p - 9. Suppose 0 = -4*g - 11 - 5. What is g*h(j) + 9*s(j)?\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let v(y) = 40*y**2 - 2*y - 3. Let x(h) = 4*d(h) + v(h). Is x(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -80. Let m = 0 + 1. Let y be 3*(m\/(-3))\/t. Solve 0 = -2*r - y - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104757 (base 11) to base 6\nAnswer: 3330244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6263227 millimeters in meters?\nAnswer: 0.0006263227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -18. What is the remainder when n is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let a = -1733 - -1732. What is the closest to a in -1, -0.4, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 + -233. Let x = 121 + -126. Which is the nearest to -0.03? (a) x (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + -8 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-4) - (5 - ((-54)\/(-12))\/3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6604 and 6434582.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2593887?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*o + 27 = 64*o. Solve -3*j = 3*f - 3, 0 = -4*f + 1 - o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115709 and 51967?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -361?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -1788*t**2 - 4456*t - 1760 = 0. Calculate t.\nAnswer: -2, -220\/447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 865307320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 10\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*n = 3*n + 5, 2*b - 4*n = -2. Let p(w) = -w - 2. Let m be p(-5). Let s = 20 + -15. Put s, m, b in increasing order.\nAnswer: b, m, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1291, 1\/3, -0.5, -3, -418.\nAnswer: -418, -3, -0.5, 2\/1291, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 51459280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005174 rounded to 6 decimal places?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -14 - -19 - 4\/(-1) and (-53)\/(-6) - (-2)\/12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210685.9 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 37 - 28 = 0. Let h(q) = q**2 - 15*q - 2. Let r be h(13). What is the remainder when (-4 - 88\/r)*-28 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 128.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*2 + 1)**2 + 3*sqrt(242)*-5.\nAnswer: -121*sqrt(2) + 969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5881 + -1345. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*h - 33. Let p(f) = 17 - 2 - h + 19 + 7 - 2*f. Let v(o) = 2*o**2 + 2*o**2 - 6*o**2. Determine p(v(z)).\nAnswer: 4*z**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3 - 5*g - 9*g**2 + 31*g**2 - 23*g**2. What is a(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*y + 33665, 3*y + 40234 = 5*g + 6569. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 602 and 269395?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 575 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 2*p**2 + 0*p**2 + (-2 - 4*p + 3*p + 2*p)*(-p - 9*p - 2*p) to i + l*p**2 + s*p and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*u - 31419, -29*b + 28*b + 4*u = -31413. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1.2, -2, 9\/7, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 420370.\nAnswer: -168148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11610796.\nAnswer: 2, 17, 73, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7302960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1069 * 12395\nAnswer: -13250255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/60 + 1)*3. Is f smaller than 5\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**3 + t**3 + 2*t**3)*(-7 + 7 - 7)*(40694 + 183*t - 40694) as f*t**2 + r*t + w*t**4 + j*t**3 + o and give w.\nAnswer: -5124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.673+-230.89\nAnswer: -231.563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5\/2 + 19*r**4\/2 + 21*r**3 + 21*r**2 + 19*r\/2 + 3\/2 = 0 for r.\nAnswer: -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1266 from 63454451.\nAnswer: 63454451.1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 14*i**2 - 37*i. Let q be z(10). Let u be (-6 + (-88)\/(-12))*q\/8. Solve 0 = 4*p - 9 + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-4 - -10) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 0, -18 in decreasing order.\nAnswer: 0, -18, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - -0.11. Let p = 0.1 - i. Let u = p - -0.064. What is u rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1450107 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31079\/855 - 705\/19. Find the common denominator of y and -161\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2160, 2159, 2158, 2157, 2156, 2155?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ndb when three letters picked without replacement from {d: 4, i: 2, b: 1, j: 3, k: 4, n: 1}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 + -123\/2. Let m be -2*3\/6 - 12. Do w and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4073 equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/6)\/8)\/(12\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 407. Let y = v - -329.8. What is y rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119751 or -119752?\nAnswer: -119752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 842*u - 55 = 831*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = s - 6 + 26, -2*c - 5*s - 22 = 0. Let j = -9 - c. Are -3 and j nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 110018 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let s(t) = -19*t**2 - 29*t**2 - 27*t**2 + 74 + 76*t**2. What is u(s(l))?\nAnswer: -2*l**2 - 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*g - 29 = 0, -4*t = -3*t - 4*g - 13. Suppose 4*p + 45 - 8 = -5*l, -4*l = -4*p + 8. Does l = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 - 159*l - 161*l + 317*l.\nAnswer: -3*l - 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {o: 2, x: 1, d: 1, r: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**3*i*i*(i**(-2\/13)\/i)\/i)\/((i\/(i*i\/(i*i**(3\/2))))\/(i\/(i\/(i\/(i**5*i*i*i)*i)))) assuming i is positive.\nAnswer: i**(-251\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 749 - 902. Let g = d - -155. Solve g + 10 = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 242.\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16182745 is divided by 122?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 5) in base 8?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 45*t - 30. What is z(5)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 8*d**2 + d + 13. Let w be r(-8). Do 2\/3 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -52, 0.1, -43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*h + 140*h - 280*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -207.49 + 209. Let f = -1.57 + x. Let i = 0.3 - 0.4. Which is the third smallest value? (a) 3 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 590 and 299484?\nAnswer: 1497420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -9 - 1, 4*k = -2*r - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-9)\/5)\/((-48)\/(-72)*(-18)\/20). Solve -5*i - 18 = l, 0 = -d*i - 577*l + 572*l - 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - -6 - 17 - 12 - -7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-56)*2)\/((-4)\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -109 + 111. Suppose -m = 5*z - 12. Factor 26*n + 23*n - 19*n - 4*n**z + 35 - n**2.\nAnswer: -5*(n - 7)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42543 + -172b?\nAnswer: -43c71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.53 + -2.16. Let h = -4.19 - w. Let f = -1 - -1. Which is the nearest to f? (a) h (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 148*c + 1340. Determine d(-9).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Let q = -6675 + 6676. What is the biggest value in -0.2, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 0. Let k(u) = -u**2 + 5*u - 2. Let i(n) be the second derivative of n**4\/12 - 2*n**3\/3 + n**2\/2 + 4*n. Calculate a*i(z) - 3*k(z).\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 9*s**2 - 5*s - 519. Calculate q(-12).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 + 168 = -a. Suppose 14*s = -24*s + 304. What is the remainder when (-4)\/6 - a\/6 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.356 and -4.\nAnswer: -2.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.03391 rounded to one decimal place?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 399 - 394. Suppose -m*f + 288 = -4752. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31028.\nAnswer: 2, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9982 is divided by 122.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let b be f(4). Let w(k) = 0*k**2 + b*k**2 - 5*k**2. Let p(u) be the third derivative of -u**5\/60 + 2*u**2. Determine w(p(t)).\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28\/11 + 71\/11. Find the common denominator of -3*((-18)\/45)\/((-792)\/(-705)) and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(6) + sqrt(54)) - sqrt(55))\/(sqrt(25)\/sqrt(45)).\nAnswer: -9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 2*c**2 + 0*c**2)*(-6*c**3 - c - c**3 + 6*c**3).\nAnswer: -2*c**5 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Let w be 7*(-5)\/(-105)*f\/4. Does w = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 50*a + 340. Determine v(40).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(1 + 1 + 0)*(2 + 3 - 2*y - 4).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -19*y**7\/7 + 2*y**4 - 4*y**3\/3 - 9*y - 278. What is the third derivative of h(i) wrt i?\nAnswer: -2280*i**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.119, -9, 0, 2\/3 in ascending order.\nAnswer: -9, -0.119, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 1 j when three letters picked without replacement from {l: 1, c: 2, b: 8, t: 1, j: 1, k: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (2 - (-15 - -13)) - -13\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4)\/m**(-8))\/(m**(-6)\/m**(3\/11))*((m**(-3))**(-22))**38 assuming m is positive.\nAnswer: m**(27701\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -50, -74?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1225*j + 95800 = 38225 for j.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204) + (sqrt(204) - (sqrt(204)*-2 + sqrt(204)))))\/sqrt(12)*5 + (1 + sqrt(1377) - (sqrt(1700)*-3 - sqrt(1700))).\nAnswer: 1 + 94*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 271776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*w**2 - 143*w**2 - 132*w**2 - 181*w**2.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16277, 16290, 16323, 16388, 16497, 16662, 16895, 17208?\n\"Answer: 2*m**3 - 2*m**2 + 5*m + 16272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q - 43*q - 3*q.\nAnswer: -39*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 + -168. Let g be (24\/b)\/(30\/75). Solve -2*n - 1 = -g*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7600 a factor of 330706400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 16 = -0*p. Let d = 22 + p. Suppose 0 = v - d*v + 40. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3*z - 294. List the prime factors of n(30).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 126\/27*((-18)\/(-24) - 1). Let g = -38 - -112\/3. Let u = -0.8 - -1. What is the biggest value in f, u, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1031 - -1)*(0 - 9 - -8)?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 81*x + 75*x - 155*x. Suppose t + 2*j = -0*t + 7, -4*t + 3*j = -17. Determine d(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from xxxxxsisaiiisis?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1666 - 0.0334. Which is the second biggest value? (a) -2 (b) h (c) -1\/4 (d) 0.168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-19 + -3 + 2 - (27 - (-16 - -52))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 534, 1065, 1596, 2127?\n\"Answer: 531*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**5\/5 + 3*i**2. Let t(d) = -d - 18. Let p(g) = -13*g - 279. Let j(w) = 4*p(w) - 62*t(w). Give c(j(x)).\nAnswer: -1200*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - -31. Let c = 84 - a. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/29)*l*l\/(l*l*l**0*l))\/((l*l*l*l*l**(-8))\/l**(-8\/3)) assuming l is positive.\nAnswer: l**(122\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 6. Let b = -0.2 - -0.2. Let v = g - b. Is 3 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*z + 998 = 0, -2*a - 2*z + 1393 = -591. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 815*d - 820.\nAnswer: 5*(d - 164)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*x - 24. Suppose 24 = -b + x*b. What is the first derivative of 6 - 23*p - b + 18 + 0 wrt p?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*1 + (-11)\/(-6). Let s = -22 + 11. Let n = 6 + s. Put 3, n, m in decreasing order.\nAnswer: 3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2454 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 8*k**2 + 51. Let r(z) = -z**2 + 1. Determine 6*r(o) + x(o).\nAnswer: -o**3 + 2*o**2 + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.25144 millilitres in litres?\nAnswer: 0.05425144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560, -1114, -1668?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1794 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 4)*(i**2 - 3*i + 3*i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*z - 28 = -41, 2*z = -3*m + 14. Solve -i + w + 6 = -1, 14 = -3*i - m*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/2)*l*l*(l*l**(1\/2))\/l*l*l)**(-11))**(-4\/17) assuming l is positive.\nAnswer: l**(264\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 14. What is the closest to -5 in -0.4, y, 2\/17?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1932155*0.2.\nAnswer: -386431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18354)\/(-874))\/(10\/(-4)*6\/(-5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 22 = -25*w + 17*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/6 - h. Let u(k) = 4*k**2 + k**2 + 3*k**2. Let b(r) = -3*r**2. Let t(g) = 11*b(g) + 4*u(g). What is t(v(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-1))*c)**(-19\/2)*(c**(-1\/4))**27)\/(((c**4\/c*c)\/c**1)\/(((c*c*c*c*c*c*(c\/c**(1\/4))\/c*c*c*c*c*c)\/c)\/c)**(2\/63)) assuming c is positive.\nAnswer: c**(-341\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 699 + -714. What is the nearest to w in 0.3, 2\/3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10921 and 0.36032.\nAnswer: 3935.05472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 27 - 7. Suppose -f - 2*f + 6 = -5*o, -5*f = o - 10. Suppose f*i - 3 = 5. Solve -l + p = i*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933174732 to the power of 1\/3, to the nearest integer?\nAnswer: 1702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - x - 4. Let v(a) = 2*a**2 + 2*a + 3. Let m(h) = 2*q(h) + 3*v(h). What is the units digit of m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(18\/(-135)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 (base 11) in base 3?\nAnswer: 21111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m - 6. Let g(x) = 2*x + 7. Let u(j) = -5*f(j) - 4*g(j). Let p(o) = 6*o + 1. Give -5*p(z) + 4*u(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3*b**2 + 4*b - 4. What is the smallest common multiple of v(3) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**(-2\/23))**(-14)*l*l**(-2\/13)*((((l\/l**(-6))\/l)\/l)\/l)\/l*(l\/(l*l\/l**(2\/3)*l))**(2\/45) assuming l is positive.\nAnswer: l**(54578\/40365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbbt when four letters picked without replacement from {b: 4, t: 6, u: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0\/f)**(-48))**(-19)\/((f**(-1\/2))**(-15)*f**(1\/3)*f**0*f*f) assuming f is positive.\nAnswer: f**(-5531\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 6*y = 0, 0 = 2*i + 292*y - 143*y - 153*y + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000070348 to 7 decimal places.\nAnswer: 0.0000703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*c - 2*c - 144*c - 12 + 12.\nAnswer: 159*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10321103 (base 5) to base 3\nAnswer: -11111221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1.3 (b) -3 (c) -2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -45.1, 0.1, 0.5, -12, 4.7, 0.3 in ascending order.\nAnswer: -45.1, -12, 0.1, 0.3, 0.5, 4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/37, -42, -4, -4\/29, -1\/2.\nAnswer: -42, -4, -1\/2, -4\/29, 2\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-32 - -22)) + 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -11*z**3 + 2*z + 1. Suppose -5*x + 27 = -p, 5*p + x = -x. Let g = 1 + p. Calculate m(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94218*b**3 + 17*b**2 + 93861*b**3 - 17*b**2.\nAnswer: -357*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cppph. What is prob of picking 1 c and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**2 + 3*k**2 - 12*k**2 - 3*k**2 + 3*k**2 + k**2 + (-k + 0*k + 2*k)*(5*k - 3*k - k) + 0*k - k**2 + 0*k to o*k + t*k**2 + f and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/11)\/(b**1*b))\/(b\/(b\/b**(-1\/4)))**(14\/3))**(2\/187) assuming b is positive.\nAnswer: b**(-67\/6171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 3*k**2 - 11*k + 14. Let p be i(4). Let a = -67 + p. Suppose -4*b = -a*b + 88. Solve -4*m = g + 4*g + 8, -4*m + 5*g = b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31944041 at least -31944030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4591 to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -13. Let t = 14 - v. Let y(j) = 18*j - 3. List the prime factors of y(t).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 37. Solve -3*o - 11 = -2*g + 4*g, -k*g - 25 = 5*o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89a (base 11) in base 7?\nAnswer: -3066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 87 + -67. Calculate the greatest common factor of 15 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 7:30 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 61*z + 4062. Let t be u(-13). Calculate the highest common divisor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24582 and 105689.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 + 4*a + 4. Let v be n(-4). Let y = -27 - v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 17 = 26*l - 21*l, 0 = 3*l - 5*s + 7 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-3)*(-42)\/63.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16857786509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-583*f + 1380*f + 967*f)*(-3*f + f + f)*(0 - 2 + 1)*(-3 + 3 - 4) in the form z*f + u*f**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16350 - 42051.\nAnswer: -25701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2. Let a(f) = 6*f**2 - 9*f**2 - 6*f**2 - 5*f**2 + 37*f**2. Give a(m(s)).\nAnswer: 575*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 43*m + 37. Suppose -18 = -n - 21. Let b(y) = -16*y - 12. Let c(j) = n*s(j) - 8*b(j). Determine c(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 8*q**2 - 2*q - 10. Let l be r(7). Let h = l + -9. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 50\/(-20)*(-8)\/10. Suppose -3*j = -77 + k. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 385867225*y**2 + 78359033*y - 2 wrt y.\nAnswer: 771734450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*p - 310. What is the greatest common factor of p and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016096 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: Which is the smallest value? (a) 1.4 (b) -1\/29 (c) -2614.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-48)\/1620)\/((-4)\/20).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 49466860*s + 122348511912980.\nAnswer: 5*(s + 4946686)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c - 5. Let v(g) = 6*g. Calculate r(v(i)).\nAnswer: -144*i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddmmdmddd. Give prob of picking 2 d.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 242820076 to the power of 1\/2, to the nearest integer?\nAnswer: 15583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a**2 + 11*a**2 + 2 + 2 + 0*a + a**3 + 2*a. Let m be n(-4). Solve 2*i - m = 3*f, 6*f = 2*f - 2*i - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3949.298 meters?\nAnswer: 394929.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = -29040 - 2768. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 19*a. Let s be v(-3). Suppose 3*b + 8 = -94. Let j = b - s. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t**(15\/2)\/t)\/t)\/t))\/t)**(27\/4)\/(t\/((t\/(t**30*t))\/t)*t\/(t\/(t\/(t**(-6)*t)))*t) assuming t is positive.\nAnswer: t**(-555\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231912 is divided by 3092.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 14) to base 2\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -63*o - 16. Does 11 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/10 + 9\/((-495)\/22)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1042032220 - -5?\nAnswer: -1042032211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 2*b + 2157, 1438 = -16*u + 18*u + 3*b. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-36 - 0\/((-126)\/9 - -15))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/3)\/(-1)*-6. Let p(l) = 5*l - 4. Let d(k) = -6*k + 3. Let j(q) = 6*d(q) + 7*p(q). Let w be j(i). Solve a - 2*m = -a + 2, w = 5*a + 3*m - 37 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30799?\nAnswer: 19, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -282\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*w + 28, v - 14 = 3*w + 8. Let h be 60\/w*(-6)\/5. Suppose -m - h = -4*m. What is the remainder when 7 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 5*z + 3. Let q be m(3). Let w be (4\/q)\/((-6)\/(-18)). Suppose 26 = 4*o + 3*j + w, -j = -4. Put -2, o, -1 in ascending order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 206? (a) -5 (b) 0.2 (c) 2 (d) 1.9309\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(-1 + 1 - 2*z) + z + 4*z - 3*z)*(-8 + 4 - 2)*(-3*z - 31*z**4 + 33*z**4 - 18*z**4).\nAnswer: 384*z**5 + 72*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + -2 + 21 - (-4 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40247 and -5?\nAnswer: 201235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 992 and -0.21.\nAnswer: -208.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aowwowwvoawv. What is prob of picking 1 v and 1 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4246522 divided by 2123261\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.52 - 1.72. Which is the third smallest value? (a) 5 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15*t - 23. Let v(n) = -n. Let y(x) = -m(x) - 5*v(x). Let g(s) = -21*s - 23. Let z(l) = -6*g(l) - 5*y(l). What is the derivative of z(j) wrt j?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3147*l**2 + 13091511*l + 37440.\nAnswer: -3*(l - 4160)*(1049*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j = -36*j - 105. Let s be j\/3*3*64\/(-120). Put -4, 2, s in increasing order.\nAnswer: -4, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23 and 12201.\nAnswer: 280623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 o when four letters picked without replacement from iioiiioiiioiiioiii.\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3 - 10*p**2 + 109*p.\nAnswer: 12*p - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (735\/(-6))\/((-265)\/42930)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.021 + 59.021. Let q = f - 58.8. What is the nearest to -2\/3 in 3, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 4. Let b(s) = -s**2 - 6. Let v = -338 - -341. Let x(m) = v*h(m) + 2*b(m). Let k(l) = -l**2 + l + 2. Let w be k(0). What is x(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:40 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.8423+-38.5049521\nAnswer: -39.3472521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(605) - (sqrt(605) + -2 + sqrt(605))**2) + (-3*(1 + sqrt(605)) - sqrt(605))**2 + -1)*-2.\nAnswer: -24228 - 330*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 9. Let q be g(-8). Suppose 0 = -5*v - q - 13. Let t(l) = -l**3 - 6*l**2 - 5*l - 5. Calculate t(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 286523 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.9, 5\/2, 1.23 in ascending order.\nAnswer: -0.9, 1.23, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 9 + (65351\/4758 - (38\/(-12) + 3)).\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 1002*z + 66339.\nAnswer: 3*(z - 243)*(z - 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1958683.1+-7078\nAnswer: 1951605.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*p + 7034, -p = 2*p - 5*z - 10551. Let n = 14151\/4 - p. Calculate the common denominator of n and 131\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**7\/21 + 187*z**5\/20 - 39*z**4\/2 + 227*z. Find the third derivative of h(s) wrt s.\nAnswer: 120*s**2 + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let g(v) = -13*v - 26. Let k(w) = -w - 1. Let f(z) = -g(z) + 26*k(z). Calculate h(f(a)).\nAnswer: 338*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 131 = 6. Let r = 95 + w. Suppose 4*s - 4 = 0, -30 = -2*x + s + 25. Calculate the highest common divisor of r and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-18) - (-50)\/18. Suppose 5*g - q - 78 = 0, 0*q - 24 = -g + 3*q. Calculate the highest common divisor of g and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 97970*k - 98126*k + 5)*(-k**2 - k + k).\nAnswer: 156*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s + 2. Let a = -92 - -97. Suppose 0*f + 5*f = -b + 21, -5*f = -a*b + 45. Calculate the lowest common multiple of n(0) and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211668385?\nAnswer: 5, 593, 71389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 238 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*g**2*m + 19*g**2 + 2*g*m - 83*g - 446*m - 131 wrt m.\nAnswer: -14*g**2 + 2*g - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((12 - -1) + 1 + 3113\/(-209)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20156 - -20624. What is the remainder when t is divided by 172?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3*p**6\/10 - p**4\/12 - 17*p + 7. Let c(z) be the first derivative of w(z). Find the third derivative of c(s) wrt s.\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -449. Let z = x + 361. Suppose -5*p = -3*v - 22, 3*p - v + 6*v + 14 = 0. Put p, z, -8 in descending order.\nAnswer: p, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142.6 - 144. Let t = 1.1 + b. Let x = -0.3 - -0.2. What is the third smallest value in x, t, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2531 = 4*d + 3*p + 2*p, -2*d = 2*p + 1268. Is (-8 - d) + 0\/(-1 + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*x + 5*w + 27, 1 = x - 5*w. Let v be 2 + 3 + (160\/(-10) - -15). Let a be -3*1\/v*x. Calculate the highest common divisor of 6 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbb when four letters picked without replacement from {b: 5, i: 8}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + (-15 - 19) + -19.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -0.4 (c) 3\/61 (d) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 4*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.884 - -2.3. What is s rounded to two decimal places?\nAnswer: -0.58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1267.2417 months?\nAnswer: 10.5603475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2207403 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.002304 times 12\nAnswer: 0.027648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000621167 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -501 greater than -504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31857, -57159, -82461, -107763, -133065?\n\"Answer: -25302*r - 6555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 421.7064, 2\/3, 0.4 in descending order.\nAnswer: 421.7064, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210011202 (base 3) to base 14.\nAnswer: -cb28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cia when three letters picked without replacement from {i: 2, c: 2, v: 1, z: 1, a: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1001110000010011111010000010?\nAnswer: -1001110000010011111010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d - 13. Suppose 3*n + 5*t = 213, -t - 3*t + d = 0. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 499\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7079 - -45206.81.\nAnswer: 38127.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + 2*(sqrt(19) - (1*sqrt(152) - sqrt(152))\/sqrt(8) - (5 + sqrt(38)\/sqrt(2))) + -1)**2 + 1.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39181397, -78362784, -117544171, -156725558, -195906945, -235088332?\nAnswer: -274269719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 5*b - 136. Suppose 9*m - 52 - b = 0. Calculate the least common multiple of m and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 7 = y + 3*x, y + 5*x = -32. Let s = y - -58. Suppose -2*o - 5*q + 4*q = 8, -4*o = q + 20. Sort s, -5, o in increasing order.\nAnswer: o, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + f**2 - f**2 + (10 + 4*f - 10)*(-13*f**2 + 12*f - 12*f) as v + c*f + t*f**3 + o*f**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*w = -29, -5*w + 11 = -9*m + 11*m. What is the highest common factor of m and 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6892489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8202 + 9881. What is the greatest common divisor of a and 584?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41 - (8\/(-2) + 3). Let t = -39 + v. Solve 16*c**2 + 10*c**4 + 6*c**4 - 5*c**3 + 4*c + 28*c**3 + 4*c**5 + c**t = 0 for c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 8*g. What is a(4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7232*l**4 + 6148*l**2 wrt l.\nAnswer: 173568*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4506906 meters in kilometers?\nAnswer: 0.0004506906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1.15. Let c be (6\/(-15) - -2)*(13 + 151\/(-12)). Sort 6, c, n.\nAnswer: n, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5 = -5*v, -18*m + 15*m = -2*v - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 532 divide 27353312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -5655, -2\/5, -2, -1\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/4))**(-1\/7)*(n*n**(-1))\/(n*n\/(n**(1\/12)\/n*n)))**3)**(8\/11) assuming n is positive.\nAnswer: n**(-328\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-18)\/(-147))\/((-8)\/7).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 58.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15447*g + 14289 with respect to g.\nAnswer: 15447","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442 (base 11) to base 5.\nAnswer: -4110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4570 - 4568. Let y(z) = -4*z + 15. Let f(g) be the second derivative of -g**3\/3 + 7*g**2\/2 - 9*g. Calculate h*y(a) - 5*f(a).\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 - -0.02. Which is the closest to 2\/3? (a) p (b) 0.2 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17187 + 9*w**2 - 8590 - 8597 + 34*w - 2*w**2 - 6*w**2.\nAnswer: w**2 + 34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 9. Let g be l(-9). Let z be (-4)\/(-14) + 26\/7. Solve g*w - 2*w + 35 = 5*o, z*o - 5*w = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14380344 and 20.\nAnswer: 71901720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2701752*i**3*t + 150439432*i**3 + 14*t**3 wrt t.\nAnswer: -2701752*i**3 + 42*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 187853.\nAnswer: 187853.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 8696*g**2 - 2494 + 11137*g**2 + 2492 in the form y*g + s + o*g**2 and give o.\nAnswer: 19833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 2*i. Let d(b) = -b**2 + b. Let h(a) = 2*d(a) + p(a). Let k(t) be the first derivative of 5*t**2\/2 - 2*t + 472109. What is h(k(x))?\nAnswer: -75*x**2 + 60*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.85 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let v(j) = j - 4. Let q(u) = -1. Let t(o) = -o**2 + 5*o + 4. Let k be t(5). Let i(b) = k*q(b) - v(b). Give i(a(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g + 41. Give f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = b - 19, -61 = -4*n + 18*b - 17*b for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58338742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4443*m - 4424*m + 57 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 a, and 1 m when four letters picked without replacement from {m: 6, a: 4, c: 3, b: 1}?\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.076 (b) 692 (c) 145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 3412*q + 19 - 32.\nAnswer: 3412*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 72*a - 329*a**2 + 2*a**4 + 329*a**2 + (-a**2 + 2*a**2 - 2*a**2)*(1 - 1 + a**2).\nAnswer: a**4 + 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 3. Let x = h - -20. Let r(o) = 89*o**2 - 338*o - 9. Let l be r(4). What is the highest common factor of l and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*c**(-2\/25)))*c)\/c**7*(c\/(c*c\/c**(5\/9)))\/(c**(-6)\/c*c*c))**(-3\/5) assuming c is positive.\nAnswer: c**(118\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 625, 1315, 2007, 2701, 3397?\nAnswer: 4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4ad67f (base 16) to base 10.\nAnswer: 4904575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*f - 10*f - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91467519 and 429.\nAnswer: 91467519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - (-1 + sqrt(2736) + sqrt(2736))) + 0)**2.\nAnswer: -24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 + 19 = -5*s, 5*w + 2*s + 21 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -8, -12*t + 19*b + 5 = 21*b + 45 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uut when three letters picked without replacement from tuttttuttuu.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21674 divided by -10837.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3350?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1358 - -2118. What are the prime factors of g?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 448445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b - 21?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -23. Let z(f) = -f**2 - 10*f - 10. Let p be z(k). Factor -p*u**2 + 5*u**2 - 3 - u**3 - 12*u + 9*u**4 + 10*u**3 + 3*u**3.\nAnswer: 3*(u - 1)*(u + 1)**2*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g + 42. Let y(s) = -s**3 + 10*s**2 + 48*s - 414. Let d be y(11). Determine z(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s + 1575 + 1589 - 3164.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -4\/11 (c) 2\/339 (d) -3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 3. Let q be (2\/8*-3)\/(9\/(-24)). Put q, -4, c in ascending order.\nAnswer: -4, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630327005 to the power of 1\/2, to the nearest integer?\nAnswer: 25106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349862, -349871, -349880, -349889?\nAnswer: -349898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 437 and 10841533.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-8)\/6)*(30 + -375). Solve 11*q + 38 - p = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*w**2 - 3 + 57*w**2 + 3 in the form o + r*w + x*w**2 and give x.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o - 4*o - 4*o)*(0 + 1 + 0)*(3*o - o - o)*((-5 + 0 + 6)*(-3 - 2 + 2) + 4 - 2 + 3) in the form q*o**2 + c*o + f and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4558002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f + 5 = -239 - 494 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 11:35 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022 - -3?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 12*m + 11. Let o be 6\/(-4)*264\/(-36). Let w be h(o). Solve 0 = -p, w = 3*q - 6*q + 2*p + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 5 = -4*c. Suppose 4*o - 4*w - 312 = 0, -6*w = -c*w. Suppose -5*p + 232 = -o. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 5*z - 262. List the prime factors of z.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -5201\/3, -2, 1\/3, -0.15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -2. Let h be (1*9\/(-6))\/12. What is the nearest to 2\/7 in -2, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:58 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 14*m - 37. Let u be v(5). Calculate the greatest common divisor of u and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.14 and 6.207253877.\nAnswer: 6.067253877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 0*x**5 + 1\/6*x**4 + 1\/42*x**7 + 0*x**2 - 1\/15*x**6 + 0 - 1\/6*x**3 + 3*x. Factor n(w).\nAnswer: w*(w - 1)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*z**2 - z**2 + z**2 - 2*z**2 - 3*z + 7*z + 137 wrt z.\nAnswer: -18*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 9*g**2 - 3*g + 21. Let z be k(-9). Let p be (-1 - -5)\/(2 - 320\/162). Suppose -i - c = -z, -3*i + 3 = -4*c - p. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1 - sqrt(363) - ((sqrt(3) + -4)*3 + sqrt(3)))**2.\nAnswer: -624*sqrt(3) + 2172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 618 and 16.\nAnswer: 4944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*n - 10, -952*n = -950*n + 2*i - 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 2:12 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1891 is divided by 863.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tece when four letters picked without replacement from eeelclcleevtlevecv.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1719 = -28*d + 241*d - 15 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/36)\/(2\/16). Let y(f) = 1025001*f**3 - f**2 - 3*f + 2. Let x be y(u). What is x rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110010 (base 2) to base 6\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 400. Let y be f(0). Let h be (-2)\/(-13) + y\/104. Let m(p) = p**3 + 6 - p**2 - 3 - h. What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 - 8 = -4*o + 20*v - 10, 0 = 4*o + v + 57 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by -6?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000723 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 763695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, 2, 45, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 0*w**3 + 0*w + 1\/5*w**5 + 0*w**4 - 1 + 3\/2*w**2. What is the second derivative of j(q) wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 5:25 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 5*g**3 - 23*g**3 - 4*g**3 + 38*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9394089?\nAnswer: 3, 853, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*w. Suppose w = -o + 37 - 12. Suppose l + o = 5*k, 7 = l + 2. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67 + -64. Suppose -2*n - 2*a + 3*a - 3 = 0, 9 = b*a. Solve -5*r = -5*k - 20, 0*r - 3*r - 4*k - 23 = n for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 93, 184, 273, 360?\n\"Answer: -u**2 + 94*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6) + (-10064)\/(-222). Suppose f = -376*i + 381*i. Solve i*l = 10*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.12 and 892.3?\nAnswer: 892.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 19 = 4*q. List the prime factors of q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 571 + -1663\/3. Find the common denominator of 1\/(4 + 4 - -3) and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/(-10))\/((-42)\/20))\/(2\/(72\/(-6))).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-49)*-1*(-4)\/(-16)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*s, -r + 18 - 5 = -3*s. Let a be (-24)\/(-14) - (-2)\/r. Solve 0 = -a*i - 3*x - 15, 3*i = 5*x + 25 - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120.9933 rounded to zero dps?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81755326, 81755325, 81755324, 81755323, 81755322, 81755321?\n\"Answer: -g + 81755327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 3*a**3 + 0*a**3)*(-3*a**2 - a**2 - 3*a**2).\nAnswer: -21*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**3 + 5*r**2 - 5*r - 5. Let s(w) = -7*w + 6*w**2 + 9*w**3 + w - 5 + 4 - 5. Calculate 6*n(f) - 5*s(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-13 - -3)\/(-2). Let y(b) = b**2 + b - 4. Let h = -4 - -7. Let v be y(h). Solve 5*l = v + 2, -5*n = z*l + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 3*d + 2. Suppose -i - 3*i - 40 = 0. Is 18 a factor of b(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 0*h**3 - 2*h**3)*(-125 - 48*h + 125)*(-8*h + 5*h - 2*h).\nAnswer: -240*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/5 + 99888*s\/5 - 599256\/5 = 0.\nAnswer: 6, 49938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7617, -15236, -22855, -30474, -38093, -45712?\nAnswer: -53331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*g - 34, -5*b - 4*g - 32 + 4 = 0. Let s be 2\/b - (25\/(-4))\/1. Let o be -1 + 548\/s + (-16)\/48. What is the highest common divisor of o and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/5 - 16*j**2\/5 - 51*j\/5 - 36\/5 = 0.\nAnswer: -12, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -5*w**3 + 44*w**2 - 29*w. Calculate m(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32800770 by 747.\nAnswer: -43910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 5)*(-7)\/(-42)*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285 and 466545.\nAnswer: 466545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.3, 6332, -10, -0.041?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(833) - -2*(sqrt(833) + 2) - sqrt(833)) + 3*2*sqrt(833) - (2 + -3*sqrt(833) + 2)) + 3)**2.\nAnswer: -154*sqrt(17) + 100794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 50990 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 3 + 2 - 2*q + (-1 - 4 + 1)*(-3 - q + 3).\nAnswer: 2*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.4 (c) -4.4 (d) 5 (e) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49085 to the power of 1\/2, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 310140242 + 21?\nAnswer: 310140313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*n - 2432*n = 3242*n - 94848 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o + 6. Solve -o = g + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of m - 3 + 1\/2*m**2. Give n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8142527 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8*-1 - (-562 + 0). Let r = -552 + f. Solve 2*j - 2*b - r*b + 10 = 0, -4*b = -4*j - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 3, 5, -0.2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 - 69 + 23*c**2 - 18*c**2 - 18*c - 12 = 0 for c.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -0.10641988.\nAnswer: 0.0021283976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5396 is divided by 953?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -6.49, -14?\nAnswer: -6.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5*g - 69, 3*w - 2*g = 3*g + 8. Suppose w = -2*a + 21. Solve 0 = 5*z + a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -1000?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v - 12*v = 72 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Suppose -3*z = -4*h - 0*z + 59, i = 3*z + 15. Solve f - 4*x - 12 = -3*f, 0 = 4*f - 5*x - h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 243*o**2 - 1729. Let k(x) = 3*x**2. What is k(w(y))?\nAnswer: 708588*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -20026222*v. Let l(m) = -13*m**2. Calculate w(l(b)).\nAnswer: 260340886*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 580 (b) -2\/7 (c) 0.5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w = -55*w - 52 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2 - 7*t + 0 + 4 - 4. Let v(j) = j**3 + 3*j**2 - 7*j + 12. Let l be v(-5). Let k(q) = -4*q - 1. What is l*m(s) + 5*k(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -4)\/3 - -4. Suppose -5*a + 7 = -t. Suppose 3*k - 6 = a*z, 2*z = 5*k - 4*k - 6. What is the third biggest value in 1, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 4696239.\nAnswer: 1\/1565413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3078815 to the nearest integer?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34657872 is divided by 263?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d + 9*d + 18*d - 94 - 9*d wrt d?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j + 14. Let h be 2\/7 + (-88)\/14. List the prime factors of g(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29085012 is divided by 2077497.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2073 (b) -258 (c) 2 (d) 2\/9 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202115, -404213, -606305, -808391, -1010471, -1212545?\nAnswer: -1414613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1448 - 1445. What is the closest to 1.8 in 1, t, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*i + 3*p, 5*p = 4*i + p + 20. Solve i*r = 5*j - 2*r - 8, -5*j - 4*r = 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4269796 centuries to years.\nAnswer: 42.69796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) -5 (c) 0.2 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9194 + -2.4194. Which is the third biggest value? (a) 2\/13 (b) h (c) -2 (d) -133 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.22, -3\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0440528 + 30\nAnswer: 30.0440528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-6 + 6 + -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/6451 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*t = 22, -g - 2 - 8 = 2*t. Let v = -289.175 + 288.975. What is the nearest to g in -1\/3, v, 8\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/(-270))\/(460\/(-414)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**16*f*(f*f\/f**(24\/7)*f*f)\/f*(f**(-2\/31)*f)\/(f**(-9)\/f))**(-6\/17) assuming f is positive.\nAnswer: f**(-35814\/3689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 divided by -70?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 18 = 3*x, -4*x = s - 2*s - 21. Solve -3*w + 12 = 3*h - 0*h, -x*h = -4*w - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57378441509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56, -56, -54, -50, -44, -36?\n\"Answer: w**2 - 3*w - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3794*t + 143147 - 155399 = 473*t - 297858 for t.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-130515)\/720)\/(-113) - (-15)\/(-18)*2\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/3))**16*(t*t**(2\/7))**35)**(-20\/7))**(-39) assuming t is positive.\nAnswer: t**(43420\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3630 and 43\/15?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + -6*(sqrt(252) + 1)*2*1*3*6)**2.\nAnswer: 562464*sqrt(7) + 11804401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-615)\/3 + (-3)\/(-6)*-2. Let w = v - -390. Suppose 9*m + w = 11*m. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 385310536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) -37.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12884810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 5*f**6\/2 + 22*f**3\/3 + 19. What is the third derivative of a(q) wrt q?\nAnswer: 900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -3*r + 4*g - 77, -3*g = r. Let z(k) = -2*k**2 + 3*k - 40. Give z(r).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(2\/3)))**(2\/3)\/((y**(2\/5)\/y)\/y)**36 assuming y is positive.\nAnswer: y**(2612\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*u - 5*u + 1110, -10 = 5*u. Let j = n - 183. What is the greatest common divisor of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00516953705 rounded to seven decimal places?\nAnswer: -0.0051695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 32*i**4 + 2*i**2 + 26*i + 6. Let v(f) = 95*f**4 + 6*f**2 + 77*f + 17. Let o(w) = -17*b(w) + 6*v(w). Find the third derivative of o(a) wrt a.\nAnswer: 624*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 7 in descending order.\nAnswer: 7, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 5. Let r(s) = 3*s + 8. Suppose 4 + 1 = -q. Let a(b) = q*r(b) + 8*c(b). Let w(l) = -20*l**2. Calculate a(w(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.9 (b) -0.16354 (c) -3 (d) -1 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivxxrxrddxwrwi. What is prob of sequence iv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16677690*i**3 + i**2 + 2143*i + 380 wrt i.\nAnswer: -100066140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h - 17. Give g(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 - -102. Suppose 72*z - 135 = 73*z. Let o = p - z. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42942, 171775, 386496, 687105?\n\"Answer: 42944*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21761363.\nAnswer: 13, 1673951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*t + 31 = 0, 0 = -2*y + t - 42 + 9. Let o(z) = z**2 + 14*z + 4. Let g be o(y). List the prime factors of (g - -1)*(-27)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -120.4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqa when three letters picked without replacement from {q: 11, a: 6, y: 2}.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 26*q + 35. Let s be b(19). Suppose -21*r = 3*r - s. Let c(f) = 7*f + 11. Let t(k) = -8*k - 12. Determine r*c(i) + 6*t(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + 2002111021220?\nAnswer: 2002111021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2830.3 + 2830. Sort 3, j, -2\/7, -1\/14.\nAnswer: j, -2\/7, -1\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**15\/(u*u\/((u\/(u*u**(2\/5)))\/u*u))**(18\/11) assuming u is positive.\nAnswer: u**(609\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4532 and 2.\nAnswer: 4532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -50495?\nAnswer: 5049a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4 + 4)*(-1 + 2 + 1)*(-1 + 3 - 6)*(-109*o - 29*o - 6*o).\nAnswer: 1152*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*o - 18, o + 0*o = 5*r + 5. Let j be (-85)\/(-25) + r\/5. Let f be 4*(-5)\/(-50)*5. Solve -n = j - f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -697 from -0.2198.\nAnswer: 696.7802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251208 is divided by 214?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3 + 359422*p**2 - 4*p + 5984975.\nAnswer: -3*p**2 + 718844*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10969202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 0*c - 38. Suppose 2 = -4*g + c. Calculate the greatest common factor of g and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/3 (b) -206 (c) 16.4 (d) 9\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983527945?\nAnswer: 5, 17, 103, 112339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 c when three letters picked without replacement from pcdpwc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 4, f: 1, q: 1, j: 1, v: 4}. What is prob of picking 2 v?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1416 by -20250.\nAnswer: -236\/3375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*x = 2, 2 = -5*x - 3. Suppose 5*u + 5*v - 480 = g, -4*v - 216 = 4*u - 6*u. Let w = -13 + 23. Calculate the greatest common factor of w and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12794 and 3398.\nAnswer: 21737006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from vzwwvywiyyyz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02272 and 1010.630434.\nAnswer: 1010.607714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7469, -14293, -20471, -26003, -30889, -35129?\n\"Answer: 323*j**2 - 7793*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -23*p + 511. Let w(g) = -68*g + 1498. Let u(l) = -8*s(l) + 3*w(l). What is u(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -45. Let y(x) be the second derivative of -x**5\/20 - x**4\/2 - x**3 + 2*x**2 + x. Is 2 a factor of y(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 27. Suppose 0 = -2*x + 3*l + 39, -5*x + 41*l - 43*l + 50 = 0. Calculate the lowest common multiple of x and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -133720 and 8800 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 57872?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 3*k = 6*s + 453, 4*k - 171 = -s. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y + 1121 - 118. Let z = y + 514. What are the prime factors of z?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - -0.4. Suppose -22*j = -6*j - 144. Let i = -3.09 - -2.89. Which is the third smallest value? (a) q (b) 1\/3 (c) i (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1780030, -1780027, -1780040, -1780081, -1780162, -1780295, -1780492?\nAnswer: -1780765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2643 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16748 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*z = 507 + 405 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 10357602?\nAnswer: -10357572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -296 (base 16) in base 15?\nAnswer: -2e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**2)\/(n\/n**(-7)))**28\/((n*n*n**(-2)*n)\/n*n*n\/(n*n**(-4)*n)*(n**0*n)\/n**(-6)) assuming n is positive.\nAnswer: n**(-263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111000000101011011011 (base 2) to base 6.\nAnswer: 1003104231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.3083 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 5 - 4)*(-4*n - 3*n + 2*n + 2*n + 1 - 1 - 4*n + 4*n + n + (-3 + 2 + 0)*(-2*n + 3*n - 2*n)) to p + z*n and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3490*j**2 - 4478*j\/3 + 116\/3.\nAnswer: 2*(5*j - 2)*(1047*j - 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17715 (base 12) to base 9\nAnswer: 51388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -5*w + 27. Let f(j) = j**3 - j**2 - 5*j - 1. Let l = -20 + 23. Let i be f(l). Solve -2*g = i*g + w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6535237 = 113*p + 1011684. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24667 is divided by 3079.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1263825 take away 392565?\nAnswer: -392563.8736175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -1)\/(79\/316)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 1760 = -7*u. Calculate the greatest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y - 16. Give l(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23997 - -24000. Solve -10 = -4*v + 7*b - 6*b, -9 = -v - j*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 6*b**2 - 9*b + 4. Let h be f(4). Suppose -3*l + 9 = h, -2*k + 18 = -7*k + l. What are the prime factors of (k + -35)*-2*1\/1?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + -10) - (-181 + 190) - 6 - -25.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/13 + 15\/52. What is the biggest value in p, -3, -12, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2256)\/10)\/4)\/((-90)\/1950*13)\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -63 (b) -2 (c) 30\/7 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2 - 10 = 0, 2*o - 4*a + 2 = 0. Let f be (o\/(-15))\/((-32)\/(-20)). Factor -1\/4*c + f - 1\/8*c**2.\nAnswer: -(c - 1)*(c + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/893048 and -113\/7930.\nAnswer: 272379640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 13*k**2 + 14*k - 2*k - 5*k + k**3 - 8. What is the units digit of n(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1574.1 + 1574. Let l = 6 + -7.3. Which is the second biggest value? (a) k (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 11*x**2 - 9*x + 14. Let s be r(-10). Suppose s = -k + 49. Suppose 2*o - 119 = -k. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-30)\/(-9))\/(54\/12 + -3). Which is the smallest value? (a) -3 (b) -2 (c) v (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 + 5*k + 2. Let o be g(6). Let x be o*1\/(-2)*1. Let r = -335 + 351. Calculate the highest common factor of x and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 745198 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 193*f**2 - 4*f + 41. Is 21 a factor of j(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -5\/2. What is the closest to -1 in m, 10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a factor of 50013770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.057463 and -2892 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t\/t**(1\/6))*t*t**7)\/(t\/(t*((t**(-1\/6)\/t)\/t)\/t*t))**12 assuming t is positive.\nAnswer: t**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/j**4*j))**7*(((j**(-3\/10)\/j)\/j*j)\/j)\/(j**(1\/24)*j) assuming j is positive.\nAnswer: j**(1279\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 75 - (8 - 7 - 10 - (6 - 28))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -27, -34, -41, -48?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x. Let f(l) = -19*l. Determine f(i(o)).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 - 5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 4. Let k be (36\/15)\/(n\/(-10)). Solve 0 = -q - q - k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 1309 = -11*c. What is the greatest common factor of c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -24*o - 11 + 25*o - 3. Let i be v(13). Sort 0, 1, i in descending order.\nAnswer: 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-1)\/((-11)\/(-22)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 77. What is the hundreds digit of (-3)\/(2246\/(-3342) + y\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(sqrt(2736) + -2*sqrt(2736) + 4) + 4 + 0 + (sqrt(2736) - -4*(1 + sqrt(2736))) + sqrt(2736).\nAnswer: -8 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 7*q - 13*q. Let j(k) = -2*k**2 + 2*k + 1. Let b be j(-1). Sort q, 5, b in decreasing order.\nAnswer: 5, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnnnnnpnnnnnnnnn?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47\/6 - 151\/30. Factor a*h**2 - 12\/5 - 38\/5*h.\nAnswer: 2*(h - 3)*(7*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, -121, -181, -241, -301?\n\"Answer: -60*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 120 = 102*o - 25*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*s - 5*s - 792. Suppose -d + 4*v + 9 = -0*d, 53 = -3*d - 4*v. List the prime factors of d\/s*88\/(-2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - z + 2. Let i be w(0). Suppose 5*f - 10 = 5*c, 3*c + f = -i*f + 18. Differentiate 1 + 2*l**c + 2 - 2 wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/22)\/(38\/418)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23920 + -23920. Which is bigger: p or -2\/1167?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 4*s**2 + 8*s - 3. What is the units digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31405562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 6*t**2 - 5. Suppose -2*i - 11 = 1. Give y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129353 is divided by 2271.\nAnswer: 2177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32269*w**4 - 84*w**3 - 9045252.\nAnswer: 129076*w**3 - 252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -70719250 to the nearest 1000000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417421 is divided by 279?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -361.23 + 361.40047. What is x rounded to 3 decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 729.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3\/17 - 677606*s**2\/17 - 2032804*s\/17 - 1355200\/17 = 0.\nAnswer: -338800, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -70109*v**2 - 368*v + 1865. Let j be a(5). Round j to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 11:36 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -17*b - 18*b + 33*b. Let j(q) = -20*q. Determine l(j(k)).\nAnswer: 40*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k + 3*k**2 + 4*k**2 - 6*k + 4*k. Let n(q) be the third derivative of q**5\/60 + q**4\/24 + 12*q**2. What is 4*n(b) - w(b)?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.61 + -0.39. Is p at least as big as 2\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7314588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62608.\nAnswer: 2, 7, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3568299, -3568378, -3568457, -3568536, -3568615?\nAnswer: -3568694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 9*u + 864. Calculate c(25).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 403, 1585, 3551, 6301?\nAnswer: 9835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7}. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(-36)\/192*-2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4245 is divided by 1875.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, 10\/7, -4\/11 in decreasing order.\nAnswer: 10\/7, 0, -0.2, -4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*g - 1350*g - 325*g - 12888 = 17746 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**4 + 10119*o**2 + 1559*o - 2 wrt o?\nAnswer: 12*o**2 + 20238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-19)\/(w**(-2\/33)\/w**1) assuming w is positive.\nAnswer: w**(662\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from xjjccjjocccj?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 + 94?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 18 - 17 - 8*c - 5*c.\nAnswer: -14*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 900 and 18600.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 4*s + 5. Let u be g(-5). Suppose u = 4*z + z. Let b = -13\/56 - 1\/7. Which is smaller: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1152920 and 370?\nAnswer: 1152920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 266462333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 411569 + -285432. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 8*f + 37 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g\/(g*g**(-2\/21)\/g*g))))\/g*g**7*g)\/(g**(-2\/15)*g\/(g*g\/(g\/g**(-6))*g))*g**5\/g**(-2\/15)*(g**(-2\/3))**(-4\/7) assuming g is positive.\nAnswer: g**(271\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74238 (base 10) in base 7?\nAnswer: 426303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 0 - ((-2 - 9) + 19). Put -483, -1\/3, n, 0.4 in ascending order.\nAnswer: -483, n, -1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59480899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 69, -4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and -220.\nAnswer: -220.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*w**5 + 0*w**2 + 0*w + 0 - 1\/5*w**3 - 2\/5*w**4 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d - 8. What is the remainder when 0\/((-8)\/(-4) + -1) - -109 is divided by t(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-22)\/(-4)*1*(-8)\/4. Which is smaller: p or -10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17706 = -5*k + 18234. Let x = 14988 - k. What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -508*o + 510*o + 13, 6*o - 3*a = -9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 91?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62930 = 3*t - 5*n, n - 3*n + 62944 = 3*t. What is t rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -765*0.02555.\nAnswer: -19.54575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2. Let y be (-10)\/4*(36\/20)\/(-3). Let s(m) be the second derivative of 0 - 3*m - y*m**3 + 0*m**2. Determine s(a(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 213354005 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 29 = -2*d + 3*u, 3*d - 6 = -2*u. Suppose -3*q + d*s - 8 = 5*s, 5*s + 28 = -3*q. Let v(l) = 21*l**2. What is v(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19524 - -19593. What is the remainder when 1381 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**6\/720 - m**5\/30 + 3*m**4\/16 + m**3 - 3*m + 108. Let j(a) be the third derivative of i(a). Solve j(x) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let o(f) = -20*f**2 + 7*f + 4. Let x = -33 + 37. Let u(d) = x*t(d) - o(d). Calculate the remainder when 36 is divided by u(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 305*p - 46496. Calculate u(152).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 6*j - 12. Let y be t(-8). Let a(m) be the first derivative of 3*m - 3*m**2 + 5\/3*m**3 + 4 - 1\/4*m**y. Give a(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmozomymyzmmzmollz. Give prob of picking 1 y, 1 m, and 2 o.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 5*j + 4 = 2*o, -o + 2*j + 2 = 0. Let y = 0 - -3. Suppose -4 = -y*d + v, -3*v - 20 = 2*d + 2*v. What is the nearest to d in 5, o, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6037095 and -83\/103864.\nAnswer: 48296760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-164)\/(-176) - 1). Let j = o - -129. Let l = j + -767\/9. Which is the second biggest value? (a) -5 (b) -0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7628 in 0.2, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 757 - 754. Let r(f) be the third derivative of -i*f**3 + 1\/2*f**4 + 2*f**2 + 0 + 0*f - 1\/30*f**5. Solve r(a) = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10010100011100 (base 2) to base 7\nAnswer: 36461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1593 + -1598. Put 217, 3, n, -1 in decreasing order.\nAnswer: 217, 3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 7:57 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 285, 283, 271, 243, 193, 115, 3?\n\"Answer: -u**3 + u**2 + 2*u + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**3 + 3*g**2 + 9*g + 7. Let m(i) = i**3 + i**2 - i - 1. Let j(h) = 4*m(h) + y(h). What is the units digit of j(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438*g - 134*g - 236*g - 3672 = 0. Calculate the greatest common factor of 786 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-25) - 54\/(-15). Solve z + 0 + g = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, -5, 1, 14, -2, -4 in ascending order.\nAnswer: -109, -5, -4, -2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/(1\/((-6)\/3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Solve 5*z - 21 = 3*c - 4*c, 2*z + 2*c - 10 = s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38803526 and 2562497.\nAnswer: 271624682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-28) - 3)*7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 442 + 248023*l - 248023*l - l**2 + (2*l + 2*l - 6*l)*(3*l - l - 4*l) + 2*l - 2*l - 2*l**2 to the form o*l + m + a*l**2 and give m.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 6*m + 0*m)*(47*m**3 - 152*m**3 - 161*m**3).\nAnswer: -532*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)\/((r*r**1\/r)\/r))**(6\/7)*(r**6*r*r**(1\/3))**(-40) assuming r is positive.\nAnswer: r**(-6148\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99.4 + -91.4. Which is the third smallest value? (a) -5 (b) 22 (c) x (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 7*f**3 + 7*f**3 - 7*f**3 - 8*f**3 - 2*f**3.\nAnswer: -17*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:36 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + (22 - 23) - (5 - 90\/126)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12116, -24239, -36368, -48503, -60644?\n\"Answer: -3*c**2 - 12114*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 1. Suppose -s - 3*s = -20. Let q(t) = -s + 2*t - 5 - 7*t. Let h(y) = 10*j(y) + q(y). Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*u - 1055 = 0, i - 4*u = -122 + 333. Suppose -i = -5*y - 4*p, 2*p + 38 = 2*y - 32. Suppose -g = -y + 6. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 6*s = -w + 3, 4*s = 3*w - 9. Sort 0, w, 2.\nAnswer: 0, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.22085 - -0.34085. Let z be (-8)\/(-6)*12\/(-440). Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*j - v, 258*v = 253*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h. Suppose o + h*o = 1. Suppose 0 = 4*z - o - 19. Solve z = 2*u - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6234 less than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42*16\/(-3360))\/(2\/30*1). Which is the nearest to -2\/33? (a) 19 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m + 17. Let i(z) = 27*z. Give v(i(x)).\nAnswer: 162*x + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-63))\/((-3)\/(-42)) + -6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {x: 9, d: 2, h: 1, j: 2, i: 4, r: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - a**2 + 5*a - 7. Give k(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 738, 2500, 5934, 11598, 20050, 31848, 47550?\nAnswer: 67714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 6:46 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 3*o**2 + 2*o**4)*(-3*o + 3*o - 2*o) - 5*o**5 + 2*o**2 - 2*o**2 + 2*o**5 - 3*o**5 + 0*o**5.\nAnswer: -10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/21*-3)\/((-2)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*p**3*t*y + 21919*p**3*t + 2*p**3 - p**2*t*y - 22743*p**2*t + 2*p*t*y - 2*p wrt p?\nAnswer: 222*t*y + 131514*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 4*b - b)*(1192*b**2 - 78*b**4 - 1192*b**2).\nAnswer: -234*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*w - 314*w - 200 = -40. Suppose 3*u - 108 = -3*g, 3*u = 2*g + 93 + 25. Calculate the remainder when u is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 114079526?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 13*r**2 + 41 + 15*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1080002 and 151200280?\nAnswer: 151200280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) - (sqrt(13) + 1)) + 5 - ((sqrt(13) - -4*sqrt(13)) + 3)) + -3*2*sqrt(117) + -6*(sqrt(117) - sqrt(117)*-1))**2.\nAnswer: -118*sqrt(13) + 45254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 601, 2246, 4987, 8824, 13757?\nAnswer: 19786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16498, 33068, 49624, 66160, 82670, 99148, 115588?\nAnswer: 131984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7254 - -7254.16. Which is the smallest value? (a) 3\/4 (b) -2 (c) 3 (d) -1 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**3\/6 + m**2. Suppose 0*w = -2*w + 6. Let t(u) = 2 + 0*u + w*u**2 + 0*u**2 - 5*u**2 + 2*u. Give 2*d(f) - t(f).\nAnswer: 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 - 12*l**2 - 101*l - 94*l + 2*l**3 - 39 + 288*l - 97*l. Let o be k(-12). Solve -4 = -o*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a century in years?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3660 minus 7?\nAnswer: -3667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/30182740 and -79\/327480.\nAnswer: 181096440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 767\/(-708)*783\/(-66). Let t = -96\/11 + p. Let x = -8803\/16 + 544. Calculate the common denominator of t and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 26*n**2 + n + 2. What are the prime factors of s(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p + 7*p + 160 = 0. Round p to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktggzdk. Give prob of picking 2 k and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4773013 in ascending order.\nAnswer: -3, -2, 4773013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7.97. Let d = -0.33 - b. Let r = d - -0.30000004. What is r rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/5 + 137714*z**2\/5 + 2368920862*z\/5 - 11861824810 = 0. What is z?\nAnswer: -34441, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -7, -5, -14 in decreasing order.\nAnswer: 4, 2, -5, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 190806181 to the power of 1\/2, to the nearest integer?\nAnswer: 13813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqz when three letters picked without replacement from {q: 1, z: 4, m: 1, n: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-9)\/(-3))*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = t - 6. Find the third derivative of t*x**6 + 8*x**2 - 2*x**6 - 19*x**6 wrt x.\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 272 + -821\/3. Suppose 3*s - 3 = -0. What is the smallest value in o, s, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 18*d + 1. What is p(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 33503?\nAnswer: -4\/33503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (1 - -2)*-9. Let o = b - -31. Let u be 65 + -5 - 3*-1. Calculate the greatest common divisor of u and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.24 + -1.76. Which is the closest to -1? (a) 3 (b) p (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1075 and 67326218?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.03 + -529.97. Let y = j - -531.3. Which is the second smallest value? (a) y (b) -2\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6 = 2*k - 1, -2*i = -3*k + 25. Suppose -5*x - 47 = -3*g, -10*g + 2*x = -k*g - 72. Put g, 6, 1 in descending order.\nAnswer: g, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6311592 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34519.\nAnswer: 34519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1\/3, -428, -1 in decreasing order.\nAnswer: 8, 1\/3, -1, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -143, -327, -585, -917?\n\"Answer: -37*l**2 + l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248 - 553 + 6*s + 305.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-2\/39)*o)\/o)*o*o*o**(-2\/3))\/(((o\/(o\/o**(-14)))\/o)\/o**(-3\/4)) assuming o is positive.\nAnswer: o**(865\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 9*b + 5. Suppose 30*u = 105 + 75. What is w(u)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102331 - 1?\nAnswer: 102330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44156101 + 806.79117101. Let u = 785.5496322 - n. Let r = u + 20.8. Round r to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 12:13 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 10*y**3 - 21*y + 39. Let f(c) = -9*c**3 + 20*c - 39. Let k(h) = -6*f(h) - 5*r(h). Differentiate k(w) wrt w.\nAnswer: 12*w**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 7*f**2 + 2. Let r be n(7). Let o be (-12)\/(-2) + -3 - r. Is 7 a factor of 8\/(-12)*o*-39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)\/(h*h**(-1\/2)))**(25\/2)*((h**(-1\/2)\/h)\/h)**(23\/3)\/(h*h**(2\/5)*h)**(-43) assuming h is positive.\nAnswer: h**(-1333\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5 = 11. Suppose v*n + 5*h - 72 = 4, 0 = -5*n - 5*h + 100. Let q = -23 + n. Which is greater: q or -2\/35?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 201 - 2?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 84710 < -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m + 154*m + 608 = -166*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 12:40 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025390 is divided by 544.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430599 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*z + z = 411, -4*r + 4*z = -416. Find the first derivative of -101*v + r*v + 21 + 12 wrt v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*-1 - 5. Let p(k) = k**3 + 8*k**2 + 9*k + 5. Let w be p(s). Let t = 38 - w. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.4 and -136087931?\nAnswer: 136087928.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9609571?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 28 + 54 + 7*p**3 as s*p**2 + r*p + f + l*p**3 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279659?\nAnswer: 279659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 308011618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from ykyayaayy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 24 = 6. What is the common denominator of 35\/6 and ((-1)\/(-12))\/(b\/(-1668))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -1\/2, -1280?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 1 - 1)*(2*f**4 - f**4 - 3*f**4) + 2*f**5 - 2*f**4 + 2*f**4 + (2 - 2 - f**4)*(-2*f + f - f) - 5*f**5 - f**5 + 5*f**5.\nAnswer: 9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/5 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2773538.\nAnswer: 2, 293, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 39*v**2 + 4177*v + 383. Give b(-107).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 5 (c) 3\/2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6852 and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 9. Suppose -2*m = t + 6, -12*m - 2*t - 7 = -13*m. Sort m, s, -5 in descending order.\nAnswer: s, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94010?\nAnswer: 2, 5, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.2, -0.3395, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + -34. Let g be ((-2)\/(-10))\/(4\/c). Let w = -270.2 - -270.6. Sort -1, w, g.\nAnswer: -1, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 37*l - 5*l - 5735 = 0. Let n(o) = o + 2. Let b be n(-2). Suppose y = -b*y + l. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 90*n + 1227. Calculate c(56).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/8 (b) 1 (c) 5 (d) 0 (e) -3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -253156908, -253156910, -253156912, -253156914?\n\"Answer: -2*f - 253156906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 8 + 8)*(2 + 3 - 4) + (8*l + 0*l - 4*l)*(-1 - 3 + 6) in the form f*l + t and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55128930 to the nearest integer?\nAnswer: 7425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2031?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/195424 and 1\/97712?\nAnswer: 195424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.024 * -0.12\nAnswer: 0.00288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 14114414?\nAnswer: -14114421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 12) to base 8\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/120 + 11*y**5\/60 - 3*y**4\/8 - 2*y**3 + y**2. Let z be r(10). Sort -1, 4, z.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. What is the second derivative of -2*q**4 + b*q - 3*q**4 + 7*q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7815 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3869974*g - 8619356 wrt g.\nAnswer: 3869974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 2*x**2 - 4*x - 4. Let q(z) = -z**3 + z**2 + 1. Let m(b) = -2*q(b) + s(b). Let n be m(4). Calculate the highest common divisor of 21 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -883812085 divided by 1.\nAnswer: -883812085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349 less than -0.53846612?\nAnswer: -2349.53846612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*4032.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20390769?\nAnswer: 3, 7, 17, 79, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12574805062 from -90.\nAnswer: -12574805152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7*o = -3. Let l be 3\/1*(o - -2). Put -0.2, 1, l in descending order.\nAnswer: l, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -44?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:00 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5894665 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1542 + -1265. What is the remainder when z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510698 divided by -1\nAnswer: 510698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788479 is divided by 107?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -912 - -2403. Suppose 9*l - x = 372. Calculate the remainder when l is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1275*x + 50816 = 594*x - 80940 + 19616 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/4, -6, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 2*z - 1. Let p(a) = -4*a**2 + 11*a - 8. Let j(u) = -p(u) + 5*x(u). Calculate j(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3 = y, -1737*a + 5 = y - 1742*a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 + -4?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r - 7. Let v(k) = k - 1. Let c(d) = f(d) - 4*v(d). Give c(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3))**38\/(t\/(t*t**(3\/8))*t**(-1\/19)*t) assuming t is positive.\nAnswer: t**(11291\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8403.914 plus 142.75?\nAnswer: 8546.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 772.0284 hours in milliseconds?\nAnswer: 2779302240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**6\/120 - m**5\/20 - 5*m**4\/12 + 2*m**2 + 45*m. Solve d(o) = 0 for o.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*q - 9, 57*n + 11 = 62*n - 3*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/983? (a) 1 (b) -1\/4 (c) -4 (d) -2\/15 (e) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 8*a - 2. Let o be d(-8). Put o, -5, -11 in decreasing order.\nAnswer: o, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in centimeters?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -18. Suppose 2 - 10 = 4*q. Which is the closest to 2? (a) -5 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 7*g + 2 = -13*g, -3*r + 1 = 4*g - 63 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 10:28 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 2. Let u be 1\/((-6)\/(-8))*3. Suppose u*a - 14 = -2. Let n(l) = -2*l + 2. Give a*n(j) - 4*r(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 17*d**2 - 471*d - 1847. What is c(-4)?\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6363 (base 7) to base 3.\nAnswer: -10002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -2) + 61\/1. Let z = -7 - -15. Let b be (-70)\/(-8) - (-2)\/z. Calculate the greatest common divisor of b and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -232\/7 - 228\/7*f + 4\/7*f**2 = 0?\nAnswer: -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055204 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2364 divide 52176536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 11524785.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10206 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 199873, 399721, 599569, 799417, 999265, 1199113?\n\"Answer: 199848*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5)*o**(-2\/11)*(o*o*o**1*o*o*o)**44)\/((o\/(o\/o**2))\/(o*(o\/((o**(-6)*o)\/o))\/o))**3 assuming o is positive.\nAnswer: o**(15313\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4572 is divided by 1515?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*m = 6*m + 26, 12 = x - 4*m. Suppose 4*y + 57 - 37 = i, x*i - 8 = -2*y. Which is the closest to 6? (a) -2\/9 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, -1, -3, 5, -5, 4 in decreasing order.\nAnswer: 68, 5, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**4\/11 + 106*m**3\/11 + 1488*m**2\/11 + 4680*m\/11 = 0?\nAnswer: -6, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -13) + (9 + -18 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -22*g - 9. What is l(-2)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-203)\/(-406)*2*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 8 + -12)*(0 - -1)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-76 - 0)\/(1\/(-3)). Let v be (6 - 250\/(-15))\/((-3)\/9). Let k = b + v. Calculate the greatest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 753 divide 195834994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 0 + (-2754)\/(-1440). Let h = 5\/16 - k. Let f = 1 + -1.5. Which is the third biggest value? (a) f (b) h (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*i**4 - 14*i**3 - 2*i**2 - 7*i + 73.\nAnswer: -2928*i - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1868 is divided by 88?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-180816)\/4859430*43\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*-1*sqrt(153)*-4)\/(2*(sqrt(72) + 2*sqrt(72) + sqrt(72))\/sqrt(8)).\nAnswer: -2 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l - 167 - 4*l + 3*l + 175. Calculate d(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 10*i**2 - 3*i - 6. Let k be r(7). Suppose -3*a - a = -k. Is a + (-1 - 8)\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -250200.3, -1\/4, -5\/3 in descending order.\nAnswer: -1\/4, -5\/3, -3, -250200.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5195.132 and -0.2.\nAnswer: 1039.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76098*d*x + 8*d + 93538*x - 345 wrt d.\nAnswer: 76098*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 290 = -98. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 181217749*t**6 + 198971676*t**2?\nAnswer: 21746129880*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*i - 53. Let g(r) = -88*r**3 + 9*r**2 + 3*r - 25. Is g(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0527699 or -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o. Let s(r) = 2*r**2 + r + 1. Let u(y) = -8*y**2 + 2*y + 2. Let t(v) = -2*s(v) + u(v). Calculate q(t(f)).\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -297, -665, -1181?\nAnswer: -1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10\/3 (b) 0.2 (c) -1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15457 is divided by 15006?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(4\/6 - 1). Suppose l = 2*q + 83 + 27. Let z = 98 + q. Round z to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-44460)\/17290)\/(1\/(56\/6))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 9*l + 11. Give d(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -58. Let w be -14 + 6 - (-1 - (-1 + t)). Let p(u) = 2*u**3 + 13*u**2 - 6. Calculate the least common multiple of p(w) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kwu when three letters picked without replacement from kukwwukwuwwwwukw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((15\/14)\/((7776\/(-378))\/72))\/((-2)\/16).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7052aa (base 16) in base 13?\nAnswer: -16a9749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93095 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6161.\nAnswer: 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 40 = -5*k, -4*k + 0*j - 3*j = -35. Let y be k*5\/((-75)\/9). Which is the second biggest value? (a) -2\/19 (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -105 - -116. What is the second smallest value in -1\/4, c, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*w**5 + 40229254*k**3*w**3 + 3*k**3*w - 172*k**2*w**2 + k + 11*w**2 - 469*w wrt w?\nAnswer: 120*k**3*w**2 + 241375524*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*a - 38*a + 40. Let i = -4 - -6. Solve 8 = i*x - 3*n, 0*n + a*n = 5*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzv when four letters picked without replacement from zvvzzzzvzzzzzvzzzv.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 104 = -25*g. Solve 0 = g*n - x - 12, -n = n + 4*x - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5 + 5 - 60*p. Suppose 5*j = 5*i - 10, 5*i + 2 = -j - 18. Let v be w(i). 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: Let d be ((511\/(-14))\/((-1)\/2))\/95. Let s = d + -7\/19. Sort 5, s, -2\/17, -1\/6 in descending order.\nAnswer: 5, s, -2\/17, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 33*q**3 - 5*q + 3. Let l(k) = -50*k**3 + 8*k - 5. Let h(w) = 5*l(w) + 8*y(w). Suppose 0 = 2*u + 54 - 56. Calculate h(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14434 by -24267.\nAnswer: 14434\/24267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100*d**4*p + 22*d**3*p**2 + 204*d**3 - d**2*p - d**2 + 50*d*p**2 - 834*d*p wrt d.\nAnswer: 2400*d*p + 132*p**2 + 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = -16. Calculate the least common multiple of 16*(16280\/75)\/8 - 26\/195 and c.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5662 + 6536. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1102 - 1101.9. Suppose -24 = -5*l + 13*l. Let q be (0 - 1)*2 + 0. Which is the smallest value? (a) -2\/13 (b) q (c) l (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*(-2*-3*(-2 + (0 + sqrt(720) - sqrt(720)) + sqrt(720) + (sqrt(720) + 0)*-4)*2)**2.\nAnswer: -5602176 - 124416*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2227738 is divided by 11977.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 4. Let j(n) be the first derivative of 3*n**2\/2 + 8*n - 104. What is 3*j(g) - 7*q(g)?\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8 and -0.029551?\nAnswer: 8.029551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 9. Let d be p(7). Let t(b) = b + 10. Let m be t(d). Suppose 3*x + 3*n = 30, 5 = -4*x - m*n + 10*n. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 10. Let c be j(-5). Suppose c = 3*v + 12 - 3, -4*v = m + 11. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than or equal to -87\/74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1691687*w**2 + 846215*w**2 + 845474*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43003*r = -3*t + 43008*r - 23, 0 = -4*t + 3*r - 27 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*b - 5*b + 2*b)*(-18 - 7*b**2 + 18) + 2*b**2 - 3*b**2 + 2*b**2 - 2*b**3 as y + u*b**2 + x*b**3 + j*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-27)*-3*4\/(-24)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 2. Let q(f) = -9*f + 323. Let n(s) = -q(s) + 2*v(s). Let y be n(32). Solve -i + y = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-2))\/(2\/(-4)). Suppose 6*m = 103 + 191. Calculate the greatest common divisor of h and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5634791 and 0.1.\nAnswer: -563479.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -37.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84136 and 8899.\nAnswer: 925496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 304, 303, 302?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005249 rounded to five decimal places?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9))**(2\/39)*(a**2\/a)**(2\/5))\/((a**(-2\/27)\/a**(1\/2))\/((a*a**(2\/7)*a*a)\/(a*a**7*a*a*a))) assuming a is positive.\nAnswer: a**(-165887\/24570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + n**2 - n + 6*n - 5*n**2 - 3. Let t(l) = l**2 - l + 3. Let a be t(2). Give g(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 96, 1.\nAnswer: -5, 1, 12, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 5 - 5)*(23683*x + 1135*x - 2318*x + 18226*x).\nAnswer: -40726*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17 and 580?\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (19 - 12 - 25)) + (-1 - -11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 - 5*k**3 - 17*k**2 + 10*k + 70. What is the tens digit of z(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6679 rounded to the nearest one hundred?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/64288 and 179\/1722.\nAnswer: 192864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.5586l in millilitres?\nAnswer: 84558.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, l: 1, o: 1, i: 1, r: 2, u: 1}. What is prob of picking 1 u and 1 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 - 2*a**2 - 2281*a - 14122. Determine b(-6).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6189*q**2 - 1 + 4960*q + 2 - 4962*q.\nAnswer: 6189*q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*g*n**3 + 47*g*n*v + 99871*g*v - 6397016*n**3*v + 6*v wrt g.\nAnswer: 4*n**3 + 47*n*v + 99871*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 583732 + 7?\nAnswer: 583739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**3 - 4032*u**2 + 1354752*u - 151732224 = 0.\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = -2*r + 52, -y + r + 14 = 0. Let t = 10 - y. Let j(w) = -3*w - 8. What is the tens digit of j(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 32*i**2. Calculate p(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4760673.\nAnswer: 3, 1586891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*q - 2 - 17, -7 = 2*q + 3*m. What is the second biggest value in q, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441033320 (base 5) to base 12.\nAnswer: 773568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 999*q + 16687 - 3700 = 0 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 115 + 1513*u**2.\nAnswer: 1513*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 29\nAnswer: 17\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 - -67. Solve -2*u + 8 - f = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -6 (b) -148 (c) -118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85370176.\nAnswer: 2, 1333909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**5 + r - 68 - 2*r**4 + 4*r**2 + 6*r**3 + 66 - 8*r**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-330)\/(-1375))\/((-4)\/10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 13*o + 1. What is r(14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 286690.260045 - 286691. Let o = v + 0.74. What is o rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29318255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*t = 122, 5*a + 0*t - 3*t = 309. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - x**2 + 4 - x - 2*x**3 + x**4 + x as v*x**3 + h*x + y + f*x**2 + l*x**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -407, -727, -1047, -1367?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cf when two letters picked without replacement from {u: 1, o: 1, c: 3, y: 3, f: 4, p: 5}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 12*a**2 - 5*a. Let z(g) = -7*g**2 - 39*g**2 - 51*g**2 + 52*g + 4*g - 36*g**2. Give -56*x(c) - 5*z(c).\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30022112221 (base 4) in base 7?\nAnswer: 36045601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -253 - 307. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.5, 6\/19, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -215 - -223. Suppose -4*n + v = -4*p, n = -0*n. What is the nearest to -1\/4 in p, 2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*1\/6*(0 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17880)\/(-27 + 23) + 10. Calculate the highest common divisor of z and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 152.333406539 and -1.2.\nAnswer: 151.133406539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12186.348 plus 4?\nAnswer: -12182.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z - 2. Let b be p(-6). Let k = -2 + b. What is the third derivative of 0*o**6 + 2*o**6 - o**k + 0*o**6 wrt o?\nAnswer: 240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 14 + -2 + 1. Let k = i - 8. Let p = 118 - 113. Solve k*n = 9*n + p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than or equal to -11355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/4143476 and 61\/12.\nAnswer: 12430428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-33)\/(-6) - (-3)\/2. Suppose -p*l + 30 = 233. Let b = l + 40. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 24*j**2 - 25*j + 50. Let l be v(25). Let k be 11\/(-2) - l\/(-10). Let i = 1 - 1.3. Which is the closest to 2? (a) 0 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -149\/22 + 36\/11. Which is the biggest value? (a) 1\/3 (b) j (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*h - z + 676, -3*h + 1017 = 3*z. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = -123*q - 57*q + 12480 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -122 or -194339?\nAnswer: -122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, 1, -5 in descending order.\nAnswer: 24, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -9*c + 5*c. What is the units digit of (c\/(-2))\/(2 - (-68)\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {p: 4, z: 3, c: 1, a: 4, t: 4}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g**5 - 1396375*g**3 + 94995*g**2 - 45?\nAnswer: -420*g**2 - 8378250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*f**3 + a**3*f**2*x + 2*a**3*f*x - 5*a**2*f**3 + 6*a**2*x - 2*x wrt a.\nAnswer: -12*f**3 + 6*f**2*x + 12*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -74005*q**4 - 109692.\nAnswer: -296020*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7549799 is divided by 74017.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1*t**(1\/9))**45 assuming t is positive.\nAnswer: t**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61\/9 - -91\/9. Factor 2*n**2 + 4\/3 + r*n.\nAnswer: 2*(n + 1)*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*147\/(-1575)*((-270)\/(-21))\/5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 20 = 2*m. Suppose -6*u = -0 + 6. Sort 2, m, u in descending order.\nAnswer: 2, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6402, -25694, -57840, -102834, -160670?\n\"Answer: y**3 - 6433*y**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-40))\/(8\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-15))\/((-5080)\/60)*180\/(432\/12)\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.9. Suppose 0*x + x - 1 = 0. Let r be -3 - ((-20)\/6)\/x. Which is the nearest to -1\/4? (a) r (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9150 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1062729 is divided by 531363.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5386 and 61.\nAnswer: 328546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 7*c**2. Let m(q) be the third derivative of -41*q**4\/6 + 1347*q**2 - 2*q. Determine m(x(k)).\nAnswer: -1148*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -143833\/152700 + 247\/509. Find the common denominator of -41\/100 and c.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 8. Suppose 9*w - 165 = 195. Let f(m) = -3*m - w + 28 + 21 + m. Let k be 4\/14 + 132\/28. Calculate k*f(j) - 6*a(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 58. Let o be k(0). Let m = 189 + o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/134290 and -59\/135538?\nAnswer: 700053770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 20437390.\nAnswer: -13\/20437390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 109*i + 14230. What is y(78)?\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/7 - 90\/1050\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8817 and -8818 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {u: 4, j: 6, s: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 48 = 24*r - 16*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26.016 - 0.016. Let x = -285296 + 285269.9959. Let u = x + b. What is u rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*c - c + 5*c)*(-2*c + 0*c - 6*c) - 7*c**2 - 16*c**2 + 0*c**2)*(6 - 5 + 3) as l + h*c + t*c**2 and give t.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (6 - (20 - 14)) + (-4 - -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 2*u - 12, -4*u - 3 = -x - 0. Suppose -2 = -x*d - 17. Calculate the remainder when 17*-5*d\/25 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w - 7. Let k = 10 - 8. Suppose -4*d + 3*d - 5*u + k = 0, 0 = d - 3*u + 6. Let s be h(d). Solve 8 = -r - s*o, 0*r + r - 4*o - 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1, -4\/211, -760?\nAnswer: -4\/211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 440125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -208bab (base 14) in base 3?\nAnswer: -2001212210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and -7.26.\nAnswer: 609.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*l + 61*l + 924. Let j be 101 - (-6 + 88\/11). What is the highest common divisor of j and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 441855503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/2115385 and 13\/9804.\nAnswer: 482307780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 - 12. Determine a(7).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -p + r - 4, 2*r = 3*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 16. Let b(m) = m**3. Let v(j) = -j**3. Let d(f) = 4*f**2 - 5*f**3 - 4*f**2 + 3*f**3. Let n(w) = 4*d(w) - 7*v(w). Calculate u*n(q) + 2*b(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*((-6*o + o + 4*o)*(3 - 2 + 0) - 189*o + 4 - 5 + 186*o)*(4 - 1 - 2).\nAnswer: 12*o + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 660696964 > 660696964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*s + 667*s + 5*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14947 = 5*o - p - 49813, 0 = 3*p + 3. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 0*f + 0 + 2*f**2 - 2\/3*f**3 - 1\/24*f**4. Calculate j(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 - 262*y\/13 - 20.\nAnswer: -2*(y + 1)*(y + 130)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = -3*h. Let j(v) = v**3 + 3*v**2 + v + 4. Let q be j(h). Does 11 divide (1 - 2)\/(q\/(-11))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwwggbbxvybb. Give prob of picking 2 w and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 1188 = -12*c + 65*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34 - -1) + (3 - 5). Calculate the remainder when 3\/(-9)*p*-1 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = 84*k - 2292095. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q. Let z(p) be the second derivative of 1\/2*p**4 - 5*p + 0 + 0*p**2 + 0*p**3. What is z(b(r))?\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 3*r + 4. Let q be m(-3). Let s be q\/24 - (-7)\/14. Is -1 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 - 219 = 5*c, -u + 8 = 3*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8026 (base 12) to base 4.\nAnswer: 3120132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -188751130 divided by 11969?\nAnswer: -15770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*c**3 + 1 - 2*c**3 - 2*c**2 - 12*c**3 in the form g*c**2 + a + f*c**3 + b*c and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**4\/12 - 14*f**3\/3 - 60*f**2 - 592*f. Calculate n(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2548 and 12348.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0627613554 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2\/5 - 51616*c - 81867192\/5 = 0.\nAnswer: -128722, -318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d + 10*d - 6*d + 79*d**2 as t*d + o*d**2 + m and give o.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 4*x + 2*x + (-15 + 15 - 9*x)*(0 + 2 - 3).\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/4606056 and 25\/26676?\nAnswer: 13818168","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -415 + 422.88. Let d = -0.38 + k. Let w = 7.49999938 - d. What is w rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w - 12. Let i be k(0). What are the prime factors of (0 + i\/(-3))*3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 974306149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4211 is divided by 3\/(-4) + 0 - (6538\/(-56) + 8)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 2*d**2 + 5*d - 4. What is the units digit of s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3 (b) -2 (c) -4\/421 (d) 677\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*s - 579, -4*i = -2*i + 5*s - 379. What is the smallest common multiple of 10 and i?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + 15. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5\/59, -12.6, -0.1, 7 in increasing order.\nAnswer: -12.6, -0.1, -5\/59, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11)\/z**15 assuming z is positive.\nAnswer: z**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-405)\/42)\/5 - 0 and ((-87)\/(-10))\/((-184)\/30*111\/74).\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 82, 106, 140?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3362785 is divided by 591.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + -27. Calculate the remainder when w is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -210904418 to the nearest 10000.\nAnswer: -210900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*x**5 + 13*x - 13*x + (2*x**4 + 0*x**4 - 3*x**4)*(-3 + 2*x + 3).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 11 + 9 - 410*v + 17 in the form y*v + k and give y.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2197*b**2 + 2663404*b - 2663408*b + 2192*b**2.\nAnswer: -5*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, x: 2, w: 1, i: 1, n: 2}. Give prob of sequence xziw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.6. Which is the nearest to -4? (a) 0.3 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(40\/(-5))*-4*(-63)\/((-2016)\/256).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 16*f - 10. Let l be d(15). Let b be (2\/9)\/(3\/27). Suppose 4*z - b*a - 16 = -z, -3*z + a + 9 = 0. Solve -c = -4, -z*m - l*c = -c - 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - 7*c + 674 - 8*c**3 - 674 to the form a*c**2 + b*c**3 + x*c + q and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k. Let n(s) = 2126*s**2. Give n(o(x)).\nAnswer: 2126*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 148 = -239. What is the nearest to o in 1\/4, 0.4, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4 + 1058*q**3 - 1059*q**2 = 0. Calculate q.\nAnswer: -1059, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5*x - 29. Let f be k(-8). Suppose -2*a = -11 + f. Suppose a = -m + 13*m - 120. Solve 0*t = -2*c + 4*t + m, 3*t + 18 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0729362um in centimeters?\nAnswer: 0.00000729362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 7 - 13 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231696 is divided by 45754.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 34 (b) -45\/2 (c) -1\/4 (d) 1\/10 (e) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 1, -881, 54, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1232, 1813, 2394, 2975, 3556, 4137?\nAnswer: 4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 754 (base 9) to base 5\nAnswer: 4431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 15 = -k, -4*k + 24 = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -3b7?\nAnswer: 3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 7. Let l(o) = 3*o - 6. Let s be l(5). Let w be i(s). Suppose w*c = -0*c + 506. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.8 - 51. Let b = -7 + j. What is the smallest value in b, 3, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1.9. Suppose -18 = -4*p + 3*n, 4*p + 0*n + 2*n = 28. Let k be ((-58)\/(-54) - 1)*p. What is the closest to o in -3\/5, 1, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3500 + (-2 - (-4 - -2)). What is x rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-5 - (-4 + (-5 - -8)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**4 - 53364*w**3 + 636855*w**2 + 54764814*w + 54074592 = 0.\nAnswer: -26, -1, 39, 17776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 740696009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, z: 1, m: 1}. Give prob of sequence xm.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 74*r**2 - 6 - 56*r**2)*(131*r + 10336 - 10336 + (1 - 2 + 0)*(2*r - 2*r - r)).\nAnswer: 2376*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/21)\/(n*(n*(n\/((n*n**35)\/n))\/n*n*n)\/n)*n**(4\/13)\/(n*n**16) assuming n is positive.\nAnswer: n**(4205\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -101*n. Let j be l(-1). Suppose -4*p + 151 = 5*f, 2*f = -5*p - j + 311. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 - 4*l**4 + 2*l**4)*(-54 + 54 + 11*l).\nAnswer: -44*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*x - 19*x - 3*x**2 - 51 - 300 - 132 wrt x.\nAnswer: -6*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 88 = -262. Let o be ((-2)\/(-10))\/(k\/(-10)). Which is greater: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41015, 82029, 123043?\nAnswer: 164057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, -472, -90?\nAnswer: -472","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 6*i**2 - 6*i**2 - 5*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.49594568 rounded to two decimal places?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2319 (base 11) to base 10.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401010 + 30?\nAnswer: -400430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n\/n**(-4))\/(n\/n**(3\/5)*n*(n*n**(-3)*n)\/n*n*n*n))\/((n**(-2\/5)*n*n)**(1\/8)*(n**0)**(-4)) assuming n is positive.\nAnswer: n**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 29. Let c(r) = -r + 3. Give 4*c(f) - i(f).\nAnswer: -f - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - l + l**3)*(-13 - 13 + l + 37).\nAnswer: l**4 + 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48856111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-14) + (15 + -6 - 7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**3 + 15*h**3 + 18*h**3 - 43*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*g**2 - 69 - 59 - 1 - 9 wrt g?\nAnswer: -170*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*m + 22 = 0, 11834*i - 2 = 11839*i + m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -680000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 0*o - 3*x + 33, 5*x + 81 = 4*o. Let g = o - -21. Suppose 4*j - 5 - 5 = -2*r, 3*r - g = 4*j. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 172994 and 184 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 + 66.27.\nAnswer: 76.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/10*801 + (-2)\/20 and 110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044631115 rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of 883*g**8\/336 - 17*g**4\/8 - 5*g**3\/6 + 34*g**2 - 16. Find the second derivative of u(b) wrt b.\nAnswer: 17660*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 72.07568mm?\nAnswer: 0.00007207568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 52 = 5*x, 3*s = -x - x + 37. Let o(h) = h**2 - 7*h - 8. What is o(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 190128 + 278184 = 49*m. Calculate the greatest common divisor of m and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/((-924)\/(-33))*(-1)\/(-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80953871 is divided by 4656?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t - 13 - 22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 166, -3\/4, 0, -0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w. Let s(f) be the first derivative of 1\/12*f**4 + 4*f + 0*f**3 + 0*f**2 + 7. Let u(h) be the first derivative of s(h). What is n(u(p))?\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*s**2*y*z + 13*s**2*y + 12*s**2*z - 401*s**2 - s*z - 15181706*s + 2*y wrt s?\nAnswer: -300*y*z + 26*y + 24*z - 802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-292)\/(-365))\/((-4)\/(-190)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -36859, -1 in decreasing order.\nAnswer: -1, -11, -36859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-213)\/(-23430)*-262*4 + (-12)\/44.\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 plus -2008243648576?\nAnswer: -2008243648575.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -34. Let k = n + -36.45. Let f = k + -1.9. What is f rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*o - 765*o = -251*o - 249*o + 210 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2 + 133572*p\/7 + 248014\/7 = 0.\nAnswer: -9539, -13\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n = -5. Suppose a + 2*a - 53 = 4*u, 5*a - 3*u = 70. Calculate the highest common factor of n and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*w**3 - 20*w**2 + 816*w?\nAnswer: -78*w - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 5*f + 5*f)*((-1 - 4 + 4)*(18524 - 9261 - 9264 + 94*f) + (1 + 0 - 2)*(-3*f + 4*f - 4*f)) to o + u*f**2 + j*f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 710978648.\nAnswer: 2, 2777, 32003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 n when three letters picked without replacement from {s: 2, i: 6, u: 2, n: 3, q: 3, w: 2}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -8*c**3 - 1. What is the units digit of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*w + 137*w - 2142 = 0. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (129 - 131)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 54\/2 - (-12 - -11). Let z be (d\/16 - -2) + -4. Let j = -5 + 0. Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53860845 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 238*c - 2996. Let l be w(13). What is the highest common factor of l and 581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/11)\/n)\/n**(-1\/5))\/((n\/(n\/(n**4\/n*n)))\/n*n*n*n\/(n\/n**(-2))) assuming n is positive.\nAnswer: n**(-219\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2944264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 6*p**2 + p + 9. Give m(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z = 18*z + 40. Let s(o) = -o**3 - 5*o**2 - 10*o - 20. Let n be s(z). Let u = 381 - n. What is the highest common divisor of u and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*t - 5. Suppose -4*h + 63 + 33 = 0. Suppose -l + h = t*l. What is the remainder when 23 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/252*(-126)\/12. Solve -26 + 2 = w*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00077391 rounded to six decimal places?\nAnswer: 0.000774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**6\/o**(1\/8))\/(o**(1\/5)*o*o\/((o*o**(4\/7)*o)\/o)) assuming o is positive.\nAnswer: o**(1469\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/(-6*(-10)\/80). Suppose -2*n - 4*g - 76 = -6*n, 0 = n - 3*g - 17. What is the units digit of n*q*(7 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 2, 20, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -2. Let o be (r\/15)\/((-6)\/(-9)). Suppose 0 = -3*h - 5*q - 5, 2*h - o*q = 2 - 0. Is h > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a**3 - a**3 + 2*a**2 - 2 - 7*a**3 + 2*a**3. Let s(p) = -3*p**3 - 2*p**2 + 3. Give -4*m(o) - 3*s(o).\nAnswer: o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/30 and 67\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276457797?\nAnswer: 3, 7, 11, 367, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -13)*(-1)\/2. Suppose -c*r = 8 - 48. What is the lowest common multiple of 2 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -13*r + 6. Let c be a(2). Let y = c - -23. Suppose 0 = -4*p + o + 7, 0*p - 5*p - 2*o = -12. Solve f = 2*x + p, -y = -4*f + 2*x + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 120 and 115 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 28*f**2 + 3*f - 1. Determine n(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -22, -54 in decreasing order.\nAnswer: 4, 2, -22, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 12:05 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 50, 22, -12?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476988.\nAnswer: 2, 369247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 631*j**2. Let w(u) be the first derivative of -u**3 - 566. Calculate w(g(c)).\nAnswer: -1194483*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11647268.\nAnswer: 2, 743, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - a = -32, h - 6*h = -2*a - 40. Suppose 0 = -2*r - l + 2292, -3*r + l = -h*r + 5733. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**3. Let q(z) be the first derivative of -13*z**6\/120 - z**2\/2 + 3. Let m(g) be the second derivative of q(g). Determine -6*m(l) - 11*v(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - 2*c)*(4*c**3 - 3*c**3 + 8*c**3) - 9*c**4 - 230 + 230 + (3 - 3 + 1)*(3*c**4 + 3*c**4 - 7*c**4) + (1 + 1 - 3)*(c**3 - c**3 + 2*c**4).\nAnswer: -30*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kqkkkkkkkkkqkq?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-17)\/34)\/((-1)\/(-2)). Put -2, 10, r in ascending order.\nAnswer: -2, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 7:54 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 5*p**2 + 6*p - 2. Let k be v(-6). Calculate the common denominator of (-2418)\/648 + (-1)\/k*6 and 8\/33.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 15*l**3 - l**2 - 5*l + 6. Let b(r) = 30*r**3 - 2*r**2 - 11*r + 13. Let s(y) = -13*a(y) + 6*b(y). What is s(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.198763 rounded to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 12:05 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036051 rounded to seven decimal places?\nAnswer: -0.0000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108996844 by 836.\nAnswer: -130379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4207979*t**2*z**2 - 1495215*t*z - 2*z**2 wrt t.\nAnswer: 8415958*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**3 - 36*x**2 + 36*x**2)*(3*x + x - x) + (-x**2 + 2*x**2 - 3*x**2)*(2*x**2 - 5*x**2 + 2*x**2) - x**4 + 0*x**4 + 0*x**4 - x**4 + 0*x**4 - 5*x**4.\nAnswer: 22*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by -27610.\nAnswer: -16\/2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.823 - 303054.\nAnswer: -303053.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - -75) + -5 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.907264 + 4.96. What is k rounded to four dps?\nAnswer: 0.0527","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53084 in 0.3, -0.014, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjzzjxxjjzxjxjx. What is prob of picking 2 j and 2 x?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -3 - 1) + 47 - 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2*k - 20 + 5*k.\nAnswer: 7*k - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*y + 4 = 145*y. Put y, -7, 30 in increasing order.\nAnswer: -7, y, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50346786 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53836919?\nAnswer: 53836919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/146224 and 29\/48.\nAnswer: 438672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 p when three letters picked without replacement from {t: 12, p: 6}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 269165449 to the nearest integer?\nAnswer: 16406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/5 - 7218*h**3\/5 - 5780*h**2 + 86664*h\/5.\nAnswer: h*(h - 7222)*(h - 2)*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g - 20 = -80*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41007680 and 10.\nAnswer: 41007680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/(s*s*(s*s*s*s**(-1\/10))\/s*s*s))\/(s**(-1))**(1\/4) assuming s is positive.\nAnswer: s**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6420 and 428?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 15*h**2. Let n(x) = 15*x**2 - 5*x. Let o(r) = 8*r**2 - 3*r. Let v(z) = 3*n(z) - 5*o(z). Give v(p(l)).\nAnswer: 1125*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55704 is divided by 53571.\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 365904?\nAnswer: 365904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b72 - -60?\nAnswer: 6bd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - 3*w - 5*w**3 + w**3 + (2 - 2 - 2*w**2)*(3 - 2*w - 3) + 2*w**3 + 2*w**3 - 2*w**3.\nAnswer: 3*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -360.56 and 1.599.\nAnswer: -576.53544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/179 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 6:41 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**7\/7 - w**6\/15 - 3*w**5\/10 + w**4\/6 - 26*w + 1. Solve c(o) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082006929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f**3 - 2*f**2 + 2*f + 2. Let c be k(-3). Calculate the highest common factor of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 4. Let c be y(2). Let j(a) = a - 8 - a**3 + 5 + a. Calculate j(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14776599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -4*g - 15. Let u(t) = -2*t**2 + 2*t + 2. What is u(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19416, 39204, 58946, 78618, 98196?\n\"Answer: -4*w**3 + w**2 + 19813*w - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 30 = -3*j. Solve 2*k = j + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -6*(-5 + sqrt(22)\/sqrt(2) + -2 + sqrt(11)*-4 + 0 + 5)**2.\nAnswer: -617 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -879, -1919, -2959, -3999?\n\"Answer: -1040*t + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.134775 + 0.1343. Round o to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -40. Suppose -2*w = 3*t + n, 6*w - w + 5*t = -15. Solve 0 = w*m - 6 - 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 divided by 1206?\nAnswer: 499\/1206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3224\/744)\/(39\/6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3215*a + 2*a**2 - 7 + 1607*a + 1609*a. Let q(u) = 2*u**2 + u - 6. Give -2*b(d) + 3*q(d).\nAnswer: 2*d**2 + d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + 3 + (10 - -521).\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Let l be b + 0 + -1 - -1. Let h(w) = -83*w - 12 - 12 + 81*w + 24. Give h(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 62*u + 31. Let r(z) = -z**2 + 22*z + 10. Let c(x) = 3*q(x) - 8*r(x). Determine c(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 - 4*l + 2. Let b(u) = -3*u**2 + 3*u - 1. Let c(t) = 5*b(t) + 4*z(t). Let p be c(0). Solve -2*r - k = 3*r + 2, -r - p*k - 6 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -24992*c**3 - 30*c**2 - 10*c. Let g(n) = -8330*n**3 - 9*n**2 - 3*n. What is 10*g(v) - 3*y(v)?\nAnswer: -8324*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 306575078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 2*g**3\/3 + 4*g**2 + 18*g + 33. Let u be p(-6). Let w = 196 - u. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16438, -16439, -16440, -16441?\n\"Answer: -t - 16437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 1. Let f(q) = -20*q**2 + 5. Let m be 1 - (-62)\/(-12) - 15\/18. Give m*o(b) + f(b).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -106 + 20832\/588 + 72\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -757*m + 18*m**2 + 757*m + 23 wrt m?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -40. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 - 2*k**2 + 6*k - 4. Let u(s) = -s**3 + 3*s**2 - 5*s + 3. Determine -3*p(r) - 4*u(r).\nAnswer: -2*r**3 - 6*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 2. Let i = r + 41. Let q = i - 47.152. What is q rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 9*j + 13. What is the tens digit of m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21179700 by -18.\nAnswer: 1176650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*d**2 + 191*d**2 - 13*d**3.\nAnswer: -13*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -96, -200, -346, -534, -764, -1036?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/20 and ((-2)\/5 - 0)\/(12\/(-19)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 3*z**2 - 19 - 54 to b*z + o*z**2 + p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 611*t**4 - 9*t**2 + 15*t**2 - 2*t**2 + (t**2 - t**2 + t**4)*(-1 - 3 + 0) + 4*t**4 + t**4 - 3*t**4.\nAnswer: 609*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 15. Let q(m) = -1. Let o(x) = -6*q(x) - v(x). Suppose 5*y - 2*y - 63 = 0. Suppose 82*u = 85*u - y. Calculate o(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57 times -4?\nAnswer: -2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 159987*f**2 - 4*f - 863796 wrt f?\nAnswer: 319974*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 0) + 1 + 6. Find the third derivative of -w**2 + 2*w**l - w**2 + 0*w**5 wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 543*v**4 + 406*v**2 + 6. Let b(c) = -3260*c**4 - 2435*c**2 - 35. Let d(w) = -6*b(w) - 35*t(w). Find the third derivative of d(u) wrt u.\nAnswer: 13320*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*w + r, 2*r = 4*w - 2*r. Let g be 65\/1 + w + 0. Suppose -g = -5*x + 41. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5*i + 7)*(0*i - i + 0*i) + 8*i**2 - 5*i**2 + 4*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*v = -v + 17, 3*k - 5*v = -31. Let u = 10 - k. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 4*i - 4, 2*i = 5*x - 7*x + 6. Let r be (-1)\/2 + 2\/x. Solve 3*v + r = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 0*i**2 - 1\/3*i**3 + 76 + 0*i. Let p(w) = -7*w**2 + 5*w - 5*w. What is p(y(a))?\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + 2015\/(-156) + (-1)\/(-6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-18))\/(56\/(-66)). Let d = a + 1\/42. Solve 2\/7*k**3 + 0 + 0*k**2 - d*k = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 7*d - 2*d)*(-2*d + d - d) + (2 - 3 + 3)*(0*d**2 + 4*d**2 - 2*d**2) + d - 2*d**2 - d + 321 + 4*d**2 - 321.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 13, l: 3}. What is prob of picking 1 v and 3 l?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g**2 + g - 13. Let c be 1\/((1 - 5)\/(-24)). Let s = c + -3. Let v be 1 - (-1)\/(s\/(-3)). Calculate n(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14175 and 16443.\nAnswer: 411075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/3 and (-3532)\/(-792) - (-6)\/(-33)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 7 - 10. Suppose 2*l + 5*s = 7, -3*s + 8*s + 23 = z*l. Suppose -6*f - 85 = -5*a - 3*f, -f = 5. Calculate the remainder when a is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 + 0*h**2 + 19*h**3 + 0*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.0833\nAnswer: 0.02499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -11*z**2. Let t(a) = -1237*a. What is d(t(u))?\nAnswer: -16831859*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 101 and 9.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1234007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 101*v**2 - v - 43. Let y(a) = 51*a**2 - a - 22. Let h(b) = -3*k(b) + 5*y(b). Find the second derivative of h(f) wrt f.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5 + 5. Suppose -d + 6*v = h*v - 19, -4*d = 2*v - 166. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 - 7*g + 11. Let i be z(5). Let u = 309 - i. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.28 + -4.2. Let g = 0.919906 + t. Round g to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 not equal to 2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 58000 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-26 - -34) - 1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 11:52 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410497 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 36, 14, 0.3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22222112 - 1?\nAnswer: -22222113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 3, t: 9}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2064064 and 2.\nAnswer: -4128128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 14. Let k(g) = g**3 - 7*g**2 - 3. Let m be k(y). Let u = 5801 + -5801.04. Which is the second smallest value? (a) -0.3 (b) m (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g**2 + 2*g - 7 + 4*g**2 + 7 + (-2*g - g + 8*g)*(3*g + 2*g - 6*g))*(2*g**3 + 2*g**2 - 2*g**2).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24418 + 105817. What are the prime factors of q?\nAnswer: 3, 43, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (71 - 96) + 0 + 11 + (-1 + 4 - 19)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250258 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23063 to the power of 1\/2, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -207*i**2. Let u(p) = 16*p**2. Give d(u(w)).\nAnswer: -52992*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - u**2 + u - 1. Let w(a) = 6*a**3 + 5*a**2 - 5*a + 5. Suppose 1 = 5*x - 74. Calculate x*k(v) + 3*w(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271 = -82*p + 139. Let w(r) be the first derivative of 19\/16*r**4 - 1\/2*r**2 + 1\/3*r**3 + 22 + 0*r + 7\/10*r**p + 1\/8*r**6. Solve w(x) = 0.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1605 + -1609. Let w(j) = -43*j + 6 - 8 + 22. What is the hundreds digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 23. Let o be h\/(-4) - (-4)\/8. Suppose 132 = 4*s + o*u, -s = -3*u + 10 - 28. What is the highest common factor of s and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/(-3))\/(-7))\/((-1)\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*j**2 + 26*j**4 + 4682*j + 969*j + 2625*j - 293*j wrt j.\nAnswer: 312*j**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 576\/1536 - (-194)\/336 and -81\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 228266 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 5. Let o be d(5). Suppose v = -4*v. Find the first derivative of 3*x - 1 + 2 + o + v wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/((n\/(n*n**1\/n)*n)\/n))\/n*n*n**1*n\/(n**(1\/12)*n)*n*n*n**1\/n assuming n is positive.\nAnswer: n**(59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1023 and 11\/8577.\nAnswer: 2924757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u - 2. Let l be c(4). Let t be ((-12)\/l)\/((-2)\/(-15)). Solve f - t*s = -16, -2*s + 5*s - 4 = 2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 8494?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4\/9, 0.02, 3, -5, 2, -0.048?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 + 670 + 542 = 190*s. Solve -4 = -3*d + 5*t - s, 0 = 4*t + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*s**5\/3 - 602*s**4 - 1448*s**3\/3 + 7072*s**2\/3 + 1408*s + 608\/3 = 0. What is s?\nAnswer: -2, -2\/7, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 833*n - 78*n**5 - 833*n + (0*n**3 + 4*n**3 - 3*n**3)*(n**2 - 4 + 4) - 5*n**5 + n**5 + 3*n**5 + (2*n**3 + n - n)*(-n**2 + n**2 + n**2).\nAnswer: -76*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 4*j + j)*(j**2 + 3*j**2 - 3*j**2)*(-4 + 3 + 3).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5219, 5221, 5225, 5231, 5239, 5249?\nAnswer: 5261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15 (b) 31.32 (c) 34 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12253 - 4?\nAnswer: 1224a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 233002639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:59 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13066417*m**3 + 6533210*m**3 + 6533205*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28.99999964 - 29. What is n rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - 42459?\nAnswer: -42555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.81 and 6.\nAnswer: 10.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a micrometer in nanometers?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - 155. Let z = y - -46. Let b = z + 45. Calculate the highest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - w = 524 - 534, -4*m + 5*w + 45 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-4)*(2 + 2). Let w be 2 - (0 + 6\/3). Let q = -421\/9 + 47. What is the third smallest value in q, w, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1891 and 9?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 3668 = 168*w + 132*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -113 + 114. Solve -5*v - 2*g - c + 0 = 0, -5*g = -5*v - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 249028504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 169127 divided by -5?\nAnswer: -169127\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**4\/4 - w**3\/3 + w**2\/2 - w - 340. Let n(y) = 5*y**3 + 39*y**2 - 4*y + 2. Calculate -4*b(p) - n(p).\nAnswer: -p**3 - 35*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1027, 0.18 in increasing order.\nAnswer: 0.18, 0.4, 1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 44. Suppose 2*k - g = 5*k - 8, -5*k + o = 3*g. Let d = 0.08 - 3.08. Sort d, -1, k in decreasing order.\nAnswer: k, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 + 22*k + 1. Let v(a) = 2*a**3 - 7*a**2 - 43*a - 2. Calculate -7*d(h) - 3*v(h).\nAnswer: h**3 - 25*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 8. Let f(l) = 2*l + 17. What is 4*f(m) + 9*u(m)?\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -4\/3 (c) 22123\/6 (d) 0.4 (e) 23 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five quarters of a micrometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/8*(-3888)\/729)\/(-61)?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**4\/4 - 6. Let p(o) = -o**3 + 3. Calculate -3*b(d) + p(d).\nAnswer: 2*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2. Suppose -5*s + 80 = 5*l - 0*l, -4 = -s + 2*l. Suppose 8*r = s*r. Let z(t) = r*t**2 + 3*t**2 - t + t. Give z(x(k)).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*-1*(-30 - 7\/1). What is the greatest common factor of i and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from yyzzt.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 - 45*z - 3. Calculate the lowest common multiple of c(-11) and (10\/(-4))\/((-4)\/8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vabrx. What is prob of sequence rxb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2375740 and -4376.257.\nAnswer: 2371363.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20816, 41618, 62420, 83222?\n\"Answer: 20802*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 119577, -0.1, 2\/13 in ascending order.\nAnswer: -0.1, 2\/13, 2, 119577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 148, 156, 164?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 298\/3*d**2 + 1\/3*d**4 + 16*d**3 + 152*d + 205\/3.\nAnswer: (d + 1)**2*(d + 5)*(d + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:32 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5405 + -5?\nAnswer: -5412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 24*a = 23*a + 176 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 43381732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8028 - 42?\nAnswer: -806a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 - 1005?\nAnswer: -1055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 62 = 3*l, -s = -5*l + 145 - 30. Suppose -4*k = 3*b - 187, b + 14 = k - l. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 445*b - 911*b + 457*b + 13.\nAnswer: -9*b + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530301049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 34 = -2*b + 2, 2*w = 0. Suppose -5*g + b = -4*j - 4*g, j = -2*g - 9. What is the units digit of 5 + (j + 2 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 11. Let t be r(11). Calculate the remainder when t - 0 - 1 - -44 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(165) + -4*1*sqrt(165) - sqrt(165))\/(sqrt(495)\/sqrt(11)))\/(sqrt(75)*2 + sqrt(192)).\nAnswer: -2*sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3758735723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4872604*n - 2. Let i(a) = -2*a. Determine i(d(g)).\nAnswer: 9745208*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*d - 80*d = -4*v + 74*d - 22, 0 = 5*d + 31 - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2\/15, 109\/5, -2 in increasing order.\nAnswer: -2, -2\/15, 2\/15, 109\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4872*s**2 - 48*s + 22. Let x(y) = 3248*y**2 + 30*y - 14. Calculate 5*d(f) + 8*x(f).\nAnswer: 1624*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2483 divided by -336?\nAnswer: 2483\/336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13412 (base 5) to base 6.\nAnswer: 5043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1562.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4\/7))\/h)\/h**(-2\/7) assuming h is positive.\nAnswer: h**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 17\/2*u**2 + 3*u**4 + 0*u**3 + 8 + 0*u. Find the second derivative of a(q) wrt q.\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213111142 (base 7) to base 10\nAnswer: -12725722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**5\/20 - v**4\/12 + v**2\/2 + 17930*v. Let r(a) = 5*a**3 - 3*a**2 + a + 5. Let u be (1 - 4)*(-1 - -2). Give u*l(f) + r(f).\nAnswer: 2*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1495168 by -373792.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.8 + 815.\nAnswer: 818.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 4*x - 13, 0 = -j - 4*x - 56766 + 56783 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**3*p - 2*n**3*v*w + 3*n*p**3*w - 15*n*p**2*w - 5*n*v*w + 26*p**3*v + p**2*w with respect to v.\nAnswer: -2*n**3*w - 5*n*w + 26*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 72 = -2*b - 2*m, 5*b - m - 204 = 0. Solve 5*w = -3*k - 40, k - 5*k - b = 4*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*v - 2*a = 100*v - 10, -13*v + a + 37 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -2, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(-2)*76\/(-19)*(-5)\/(-60)?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*p, 0 = -4*j - 3*p - 1 + 13. Suppose 5*d = -y + 5*y - 85, -2*y + 5*d = -55. Let u be (-9)\/(-12) + y\/(-12). Which is greater: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.5 * -0.4.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -650, 3232, 7114, 10996, 14878, 18760?\n\"Answer: 3882*c - 4532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttti when four letters picked without replacement from {i: 11, t: 4, c: 1, l: 3}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**2 - c - 1. Let q be d(-1). Suppose -w = -q*w - 160000. What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 6*h - 17. What is the units digit of o(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 - 2716*x**2 - 21704*x\/3 - 14464\/3.\nAnswer: -(x + 1808)*(3*x + 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.5431 litres in millilitres?\nAnswer: 662543.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15.4, 125, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 1576*v - 13 - 5 + 1594*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54279962 is divided by 3119?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 0.81077?\nAnswer: 10.18923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 23?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 3 = 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -16833, -5 in increasing order.\nAnswer: -16833, -24, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 597*u**2\/2 - 88949*u\/2 - 298.\nAnswer: (u - 149)*(597*u + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 695596 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/5)\/((-2)\/(-30)). Let b = t - 0. Suppose 0 = -2*j + b + 3. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 21 = 36. Suppose -3*r + 3*f = -273, 7*r - 380 = p*r - 4*f. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*p + 14, 0 = 18*j - 13*j + 2*p + 7. Let o(r) = -r**2 + 6*r - 1. Let f be o(6). Calculate the remainder when 3401\/38*(j - f) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(-2 + (sqrt(405) - 1*(sqrt(405) + 2) - sqrt(405))**2)*6.\nAnswer: 1296*sqrt(5) + 14652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 267461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7)*2*861\/738?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -5578504\nAnswer: 5578504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/20 + z**4 - 13*z**3\/6 + 3*z**2\/2 - 47*z. Let s be a(-13). Solve 3*f = 4*p + 20, 0*f + f = -s*p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 189 = 204. What is the third derivative of w**6 + 21 - 31 + 16*w**j - 120*w**2 + 10 wrt w?\nAnswer: 120*w**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 447*m - 1784. Let t be g(4). Is 1.4 <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t. Let n(u) = u + 8. Let h(w) = -w - 17. Let k(l) = -l**2 - 3*l + 7. Let f be k(-6). Let v be h(f). Let z be n(v). Determine x(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5\/6, 12, -2, -1\/5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9, 0, 7, 12?\n\"Answer: -w**2 + 12*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -12*f**3 + 8654*f**2 - 1447*f + 3552. Calculate h(721).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 1 + q**2 + 1. Suppose -3*a - 13 = 2*a - 4*r, 9 = -5*a + 2*r. What is the units digit of j(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -879, -1753, -2627, -3501?\n\"Answer: -874*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417983 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 84312 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000118903 to 7 decimal places.\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 908.3403 years in millennia?\nAnswer: 0.9083403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 9*u + 3. Suppose 10 = 3*m + 7. Let o(f) = -10*f + 1. Let l be o(m). Let k be n(l). Solve -2 = 4*q - k*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 13) in base 5?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/14)\/((-23)\/36 - 1650\/(-7425))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s + 615 = 34*s. Let f = -496 - s. Let d = 1300 + f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/33)\/(88837\/39886)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 117*b + 342. Calculate u(-3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 27685?\nAnswer: -27681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 0) + -29 + 0. What is the common denominator of (-32)\/96 - (-164)\/(-66) and j*(-1 - 124\/(-108))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f. Let j = 8 - 5. Let b(y) = -3 + j - 4*y. What is b(i(l))?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 4*y - 24 = 0, -w + 13 = 5*y - 8. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000266 to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*84\/980)\/(10\/(-200)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1480 and 74?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7819*i**2 - 1135*i - 13 wrt i.\nAnswer: -15638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/192725 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -256*k - 3. Let n(h) = -4350*h - 50. Calculate -50*j(f) + 3*n(f).\nAnswer: -250*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 75184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111110010101 - 1000?\nAnswer: -10111110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6555 times -0.7\nAnswer: 4588.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26862, 53726, 80590, 107454?\n\"Answer: 26864*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(((o\/(o*(((o**(-4\/15)\/o)\/o*o)\/o*o)\/o))\/o)\/o)))\/(o*o**(2\/5)) assuming o is positive.\nAnswer: o**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2847, 3576, 5097, 7806, 12099, 18372, 27021, 38442?\n\"Answer: 66*u**3 + 267*u + 2514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 27 = -5*t, -5*t - 29 = -5*p - t. Which is the nearest to -0.182? (a) 2 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -441, -0.3, -23, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/5 + 938*o**4 + 618508*o**3 + 125553900*o**2 + 249256026*o + 621598482\/5 = 0 for o.\nAnswer: -1401, -471, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 - 1. Suppose 76 = y*k - 26. Suppose -6*d + d + 3*z + 66 = 0, 3*d + 2*z = k. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsbth. What is prob of picking 1 b and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r = 4*z - 10, 4*r - z - 20 = 0. Calculate the greatest common divisor of r and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2600, 286 in decreasing order.\nAnswer: 2600, 286, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 364*z**2 - 105*z + 683. Is f(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25471.907 + -8.807. What is k rounded to the nearest 100?\nAnswer: 25500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-4 + 1)\/(-3). Let l = w + 3. What is the highest common divisor of 48 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/65 or -88506?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1375)*2 + sqrt(1375) + sqrt(1375))\/(2*sqrt(176) - 1*sqrt(1100)).\nAnswer: 25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23*i**4 - 12006*i - 17*i**4 + 9*i**2 + 13778*i wrt i?\nAnswer: -480*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - (-39)\/(-6))\/2 - 30\/(-24). Are 1\/7800 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 508582250 by 6437750.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 3*f - 2. Let q be l(4). Let o = 2 + q. Suppose -7*n = -o*n - 6. Calculate the smallest common multiple of n and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*g + 86, 0 = -4*g - 5 - 3. Suppose -35*b = -36*b + h. Which is smaller: b or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + 0 - sqrt(44))*3 + sqrt(5324) + -2 - ((sqrt(396) + -1)*5 - (-2*sqrt(396) + 4)))**2.\nAnswer: -280*sqrt(11) + 4449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/5, 0.3, -213 in descending order.\nAnswer: 7\/5, 0.3, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42390599 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9128676 divided by -6\nAnswer: 1521446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c - 50a80?\nAnswer: -50a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -26. Which is the second biggest value? (a) 4 (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 262\/459?\nAnswer: 262\/459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 218895.265 to the nearest 10000.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3595\/91 - 508\/13. Sort -3.2, 22, q in ascending order.\nAnswer: -3.2, q, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8 = -4*c, 4*c - 2*x = -0*x - 12. Let h be (45\/10)\/(c\/(-2)). Is 6\/h - (-4418)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 6*j + 28. Let a be y(0). Let f be 10\/a*(-36)\/(-15). Factor -2\/7*l**2 - f + 8\/7*l.\nAnswer: -2*(l - 3)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12354 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Let k be (2\/6)\/((-9)\/(-54)). Suppose k*i + 3*r = 446, i = -p*i + 4*r + 1115. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -1 + -7 + 2 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p - 1073 - 74 = 639 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23863487 to 2 dps.\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9, -57, -137, -249, -393?\n\"Answer: -16*g**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 2914304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5162928284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1346 divide 1858826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1380 and 51?\nAnswer: 23460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12859 by -6.\nAnswer: -12859\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*j - 51 - 39. Calculate the remainder when 38 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/257 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 33. Let v be i(8). Let q be v\/(-1*(-1 + 63\/60)). Suppose -7*c = 3*c - q. List the prime factors of c.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 752 by 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 290\/1403020*236*10\/15*(-3)\/(-14)?\nAnswer: 2\/287","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**4 + 4*p**3 - 7*p**2 - 4*p - 6. Let m(a) = -4*a**4 + 3*a**3 - 6*a**2 - 3*a - 5. Let f(d) = 6*m(d) - 5*s(d). Let f(c) = 0. Calculate c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 56 = 16. Let b(i) = 40*i**2 + 3*i + 3. Let d be b(-2). Suppose -5*u - 57 = 5*t - d, 0 = t. Calculate the lowest common multiple of p and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 4*t + 6, -8*p - 4*t - 1 = 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 3. Let u(s) = s - 5. Suppose 0*i + 2*i = 16. Let c be u(i). Give j(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122331719?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13366 is divided by 6623.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/2 - 795*x**3\/2 + 19707*x**2\/2 + 41795*x\/2 + 10647 = 0.\nAnswer: -819, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 6765503?\nAnswer: -6765504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 5*j - 2. Let m be ((-12)\/10)\/((-10)\/(-25)). Let u be ((-3)\/(-6) + m)*2. Give g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 10) in base 13?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 11.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3266.614 minutes?\nAnswer: 195996840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 0.39, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1528948878 and 0.08.\nAnswer: -1528948877.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 103. Let k be t(53). Let b(f) be the second derivative of 0*f**k - 1\/12*f**4 + 3\/2*f**2 + f + 0. What is the first derivative of b(w) wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 35*l = -33*l - 28, 0 = 5*c - 4*l + 425 - 477 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 4. Let z be h(0). Let j = z + -3. Let u = 2722 - 2723. Sort j, 3, -3, u.\nAnswer: -3, u, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-11)\/(n\/(n*n**(-8)\/n)))**(-3) assuming n is positive.\nAnswer: n**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 63.554.\nAnswer: 254.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -2\/7, 4387, -2, 1625, -5?\nAnswer: 1625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a - 3. Let k(h) = -2*h - 11*h + 13*h - h. What is -3*k(p) - o(p)?\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82785 and 248355?\nAnswer: 248355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 228\/360 + 5\/(-15)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/23117 or 1?\nAnswer: -3\/23117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1880285l in millilitres?\nAnswer: 188.0285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3423, -6919, -10413, -13905?\n\"Answer: x**2 - 3499*x + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 254, 321, 396, 479, 570, 669?\n\"Answer: 4*g**2 + 55*g + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - b - 38 = -h, b = h - 10. Let p = h - 16. Let s(r) = -5*r - 7. Let n be s(p). Solve -o = -5*y + 23, -n*y + 5*o = -8*y + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b - 3*b + 0*b)*(669 + 659 - 1251) + 0*b - 2*b + 3*b)*(2*b**3 + b**3 - 4*b**3 + (2 - 2*b**2 - 2)*(-b - 2*b - 2*b)).\nAnswer: -1377*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(-41 + 1149\/28).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381546 and 125433.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(18) + 1)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 36*p**3 - 192*p**2 + 256*p.\nAnswer: -2*p*(p - 8)**2*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 58*z - 54*z. Let w(l) = -20*l. Let p be w(-1). Suppose 0 = 3*j + 5 - p. Calculate the remainder when z is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = 0, -5*h + 2*h - 3*p + 66 = 0. Suppose -24*a + h*a = -5. Which is smaller: -6\/37 or a?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*q = -q - 21, o + 15 = -4*q. Let i(t) = -4*t**3 + 3*t**2 - 4*t + 2. Let n be i(o). Let d = 3 + n. Solve 5*p + 0 + 5 = d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028563 to seven dps.\nAnswer: 0.0000286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + b**4 - b**4 + (b - 2*b + 0*b)*(-4*b**3 + 2*b**3 + 0*b**3).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -11 + 74 + (-5 - 3) + (0 - 3).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**4 + 2*f**3 + 11012554*f**2 + 263788029*f.\nAnswer: 36*f**2 + 12*f + 22025108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 4*l - 3. Let y be s(2). Suppose y*u = -7*u. Solve -4*i + 8 = -u*h + h, -2*h = 3*i - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-8 - -11)) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79843395?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(33\/30)*(-48)\/(-20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 12:16 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*o + 7 + 1, 3*b + 11 = -4*o. Let l = -2.95 + -0.05. Let h = l - -5. What is the third biggest value in h, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 7 + (1 - 4) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -91*g + 20. Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2409 - 1314. Round o to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*g - 1 = 7, -3*n + 4*g - 5 = 0. Suppose -n = -12*i + 11*i. What is the greatest common divisor of 5 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -2 (b) 0.1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96634 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 28 = -z. Let l(f) = 75*f + 108*f - 176*f - 3. What is the remainder when 134 is divided by l(z)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 225*b**2 - 2355*b + 231. What is c(214)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 461940*t**2 + 923888*t + 16.\nAnswer: 4*(t + 2)*(115485*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let r(i) = 31284*i. What is h(r(a))?\nAnswer: -31284*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 11, y: 5, c: 3}. Give prob of picking 2 c.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaayaaaaayya. Give prob of picking 2 a and 2 y.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7012 + 7013. Which is the third biggest value? (a) -4 (b) -48.7 (c) -3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 40 + 6*p - 10*p + 2*p.\nAnswer: -2*p + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110121\/5 + -12554569\/570. Find the common denominator of 14\/9 and n.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzhkzzzhzzhhkkzkzhhk. What is prob of picking 4 h?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14348 divided by -1800.\nAnswer: -3587\/450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3, 102, 13 in decreasing order.\nAnswer: 102, 13, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:00 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 11. Let f be o(10). Let d be (4 + (-44)\/12)*-2. What is the closest to d in 0, f, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 310, 268, 224, 178?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-5))\/((-12)\/(-5))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 649 and 174493.\nAnswer: 10295087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33030303 (base 4) to base 11.\nAnswer: -4285a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9*6\/20. Let g = p - -4\/15. Factor g*d + 0*d**2 + 0 - 1\/6*d**3.\nAnswer: -d*(d - 1)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24181807.35999958 + -24181807. Let c = 1.44 - 1.8. Let g = c + d. Round g to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, b: 1, m: 3, a: 2, y: 2}. What is prob of sequence yapb?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*p = 6*i + 15425, -5*p - 38525 = 5*i. What is i rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15288.5987 - 15290. Let f = x - -1.4. What is f rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oofzzofodwoed. What is prob of sequence effd?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -457*n**3 - 19*n**2 + 20*n - 4. Let z be b(-14). What is z rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 1. Let z(a) = 37*a + 36. Let v be z(-1). Let l(y) = 6*y - 5. What is v*l(d) - 6*c(d)?\nAnswer: -6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 105*k**2 - 559*k + 66. What is the tens digit of u(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254653463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 2:17 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 10*s - 20. Suppose h - 47 - 7 = -4*z, -z - 2*h = -10. Calculate the least common multiple of w(z) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-21)\/4)*9\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -11065?\nAnswer: 11063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (12 - (-3 + 9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 8*i + 27)*(i + 0*i - 2*i + (351 - 135 - 173)*(5*i - 4*i + 0*i)) in the form j*i**2 + m*i + q and give j.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 + 2*n**2 - 7*n**2 + (-n - 2*n + n)*(n + 2*n + 0*n) - n + 24 - 8*n**2 - 26 - 5*n to b*n + c*n**2 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1823, 3518, 5215, 6914?\n\"Answer: i**2 + 1692*i + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1614142 is divided by 63.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.6012 - -0.2012. What is the fourth smallest value in 3, b, -0.4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 467, 0, 2, 8, -1 in decreasing order.\nAnswer: 467, 8, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12631960?\nAnswer: 2, 5, 11, 19, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 6*y - 3. Let m be v(5). Let w(n) = -10 - 9 + 4*n + m*n**2 + 12 - n**2. What is w(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m - 7. Suppose 0 = w - 5*w - 20. Let z be d(w). Let h = -51 - z. What is h rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-2\/9)\/w)\/w**20 assuming w is positive.\nAnswer: w**(-173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1535201, -3070402, -4605603, -6140804, -7676005?\nAnswer: -9211206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 21 = 1. What is the greatest common divisor of r and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 - 10*q. Let i be z(5). Suppose -6*x - i = -11*x. Solve 3*n = x + 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1230232?\nAnswer: 1230221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 25 + 7. Let f = 0 - 2. What is the nearest to 1 in v, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a7797 (base 11) in base 10?\nAnswer: -1122986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 323 = -4*p, -2*k - 421 = -4*p - p. Is 23 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11651 - -4985236?\nAnswer: 4973585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*u - 536*u - 60 = 0. Let n be 2\/(-3) - u\/(-45). Suppose -2*c**2 + n*c + 8\/3 + 2\/3*c**3 = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y**(-1\/5))\/((y\/(y\/y**(2\/5)))\/y)**49 assuming y is positive.\nAnswer: y**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5\/2 + 9*a**4\/2 - 15*a**3 = 0. What is a?\nAnswer: -5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**4\/12 - 2*u**2. Let p(i) be the second derivative of -2*i**3\/3 + 3*i. What is p(d(n))?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -481\/92 + 126\/23. Is v bigger than -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 3, q: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*c + 230 = -46, 0 = -2*u - c + 280. Differentiate -56 - 2*d**2 - 135*d**4 + u*d**4 + d**2 with respect to d.\nAnswer: 24*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let p(h) = -137*h. Calculate p(o(x)).\nAnswer: -137*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.2. Let i = -11.9 - -11.7. Let y = -1 + 2. Which is the closest to y? (a) z (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**6\/30 - 9*j**4\/4 + 26*j**3\/3 - 2*j**2 - 1915*j. Find the second derivative of y(o) wrt o.\nAnswer: 12*o**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2070 = 5765*c - 11807*c + 5927*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 6. Suppose -100 = -13*c + t. What is the remainder when ((-19)\/2 - 0)*-2 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -57*i - 8080. Let j be a(-142). Let t(r) = -2*r**2 + 24 + 2*r**2 + r**2 - 16*r. Determine t(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3 + 15. Let s = l + 16. What is the first derivative of s*o - 7*o + 2 - 2*o**4 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 0*d**5 + 0*d**3 + 0*d + 1\/60*d**4 + 6 + 2*d**2 - 1\/300*d**6. Let s(o) be the second derivative of a(o). Factor s(t).\nAnswer: -2*t*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 737 (base 9) to base 13.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9419 divided by -256\nAnswer: 9419\/256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-236)\/(-59)*7\/12*240\/(-10).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n = -38*n - 2712. Let y = -335 + n. Solve -g - 6*w + 11*w + 11 = 0, -4*g + 4*w - y = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 84\/140 - (-12)\/5. Let h(u) = 6 - 2*u**2 + 6*u - u**w + 4 - 7*u + 10*u**2. Let r be h(8). Solve -4*t - s = 14, -4*t - r*s - 9 = 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.109, -1\/11, -0.091?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*l + 563*l - 1086 = -46 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 611*r + 14. Let c be n(6). Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.089145\nAnswer: 0.445725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75806601 and 56472?\nAnswer: 7059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 132 = 8*x. Suppose u - 2*u + x = 5*g, 2*u + 3*g - 16 = 0. Suppose -2*a = -5*f + 16, 3*f + 4*a - u = -8. Solve 14 = 4*h - f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.04, 1312?\nAnswer: 1312","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14992378 to the power of 1\/2, to the nearest integer?\nAnswer: 3872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -14. Let u = w - 2. Let p = 14.0041 + u. What is p rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 1. Let x(m) = -m - 8. Let c be x(-6). Let a be h(c). Solve 4 = -2*j, 0 = -5*g - a*j + 2*j - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*296276.\nAnswer: 296276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 q, and 1 y when three letters picked without replacement from {y: 1, a: 2, n: 1, q: 1, v: 1, s: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(5\/2)\/m)\/m**(-4\/7))**(3\/7))**(-26) assuming m is positive.\nAnswer: m**(-1131\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.001 - -68.001. Let o = v + -68.0000031. Round o to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51885236.\nAnswer: 2, 13, 997793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(38) + sqrt(1862))*-3)*-5)\/(sqrt(98) + sqrt(98)*-3*-1 + sqrt(98))*6.\nAnswer: 138*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -99. Let v = g - 19. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670865 is divided by 6452?\nAnswer: 6309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*w - 290, a - 6*a = -2*w - 280. Let n be 3\/2*8\/(-3). Let b(l) = -3*l - 6. Let y be b(n). What is the highest common divisor of y and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 3*q + 0*q - 2212*x + 21 = -2215*x - 76, -19*x - 93 = q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4064, -4062, -4060?\n\"Answer: 2*t - 4066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 44. Let d be g\/12 - 33\/6. Let b(i) = 71*i**2 + 9*i + 9. Is b(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (0 + sqrt(72))*3 + (sqrt(98) + 1*sqrt(98) + -5 - sqrt(98)*-2*-5))**2.\nAnswer: 456*sqrt(2) + 2924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 653 >= 623663\/954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 - 1317562*c**2 + 1317562*c**2 + 3 + 61*c**4 + (0 + 0 - 2*c)*(-c + c**3 + c) to z + b*c**3 + f*c**2 + u*c + a*c**4 and give a.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30056 = -8*u - 9*u. Let q = u + 3306. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3092 - 1660 = 463*j - 551*j + 616 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11648 and 240604.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(sqrt(19) - (sqrt(114)*-1)\/sqrt(6) - ((sqrt(114) - (sqrt(114)*2 + sqrt(114))) + sqrt(114))\/sqrt(6)).\nAnswer: -12*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 2076048?\nAnswer: 2076048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 7463*v + 37302. Give p(-5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-4))\/(4\/(-8)). What is the units digit of 5 - (-1 - (-2 + j))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 14) to base 13.\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.4, 5, 99, -1 in decreasing order.\nAnswer: 99, 5, -0.1, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 2*k**2 + 332844*k - 333408*k in the form r*k + n*k**2 + z and give r.\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 912?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/(-18))\/(4\/(-174)). Suppose 4*m - 64 = a. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.165? (a) 3 (b) 0.2 (c) 0.3 (d) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87997\/12 - 7340. Let g = q - -37\/6. Suppose -2 = -2*d - 12. Which is the third biggest value? (a) d (b) 2\/15 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Find the second derivative of -10*f**2 + 30*f**h - 62*f + 59*f wrt f.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*q**2 + 59*q**2 + 15*q**2 + 4*q**2.\nAnswer: 111*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*g - 148 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16, -4, 4, -7, 0.03, -2, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 80.09+-0.08417\nAnswer: 80.00583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 100102002211?\nAnswer: 100102002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 70*s - 97. What is the tens digit of u(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*v, -53*k + 56*k = 3*v + 24. Sort -1, k, -3879 in decreasing order.\nAnswer: k, -1, -3879","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, w: 3, o: 2}. What is prob of sequence ww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186536 = 4*d - 4*j, -3*j + 110045 = 2*d + 16757. What are the prime factors of d?\nAnswer: 2, 3, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 83 (b) -3\/8 (c) 6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131300 and 34416356.\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 = -3*f, 4*p + f - 6*f = 2. Suppose 0*o + j = p*o + 19, 3*o = 4*j - 31. Suppose 0 = 28*y + 103 - 19. Sort -2, y, o, -1.\nAnswer: o, y, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162 and 3186.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 16 = -2*c + 5 + 9, 0 = -c - 4*s + 4 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/5 + (3002\/(-76))\/79*(0 - 9).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5 + (sqrt(1331) - (sqrt(1331) + 1)**2) + 1*(sqrt(1331) - (-2 + 3*sqrt(1331)))**2)*-1 + 0.\nAnswer: -3998 + 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -7*w**2 + 4*w - 8. Let q(l) = -6*l**2 + 3*l - 7. Determine -4*q(b) + 3*y(b).\nAnswer: 3*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((17 - -1) + (98 - 18 - 29)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/5*o**4 + 12\/5*o - 6\/5*o**3 - 9\/5*o**2 + 12\/5 = 0 for o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 27. Let g be f(-11). Suppose 13*a - 9*a + g = 0. What is the units digit of (a\/(-12))\/((-2)\/(-564))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjmpppvpjpwmmmww. What is prob of picking 1 p and 1 w?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5 - 7. Let k = -127\/964 + 5347233\/6748. Let w = k - 786. What is the common denominator of w and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 2068 = -2216. Calculate the least common multiple of i and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 480797*r + 74124*r + 126748*r.\nAnswer: 681669*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3026812 divided by 756703.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 242989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.91 + -1826.09. Which is the third biggest value? (a) -2 (b) 0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283989313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-56)*4)\/((-1920)\/(-112)). Let f(d) be the third derivative of 0 + 0*d - j*d**6 + 0*d**4 - 2*d**3 + 0*d**5 - 12*d**2. Differentiate f(w) wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -20629256866359 and -0.17.\nAnswer: -20629256866359.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 268*x**2 + 5 + 53*x**2 - 8 to o*x**2 + m*x + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33542 - -4?\nAnswer: -33539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -815651.\nAnswer: -48939.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 646 = -89. Suppose -z = -0*z - g. Suppose 0 = 5*f - 298 - z. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -89*z + 5815. Let k be a(65). Let f be (-1 + -4)\/(1\/1). Let m(c) = 14*c**2 + 5*c + 5. Let l be m(f). Calculate the greatest common factor of l and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 - 6*v**2 - 7*v + 30. Determine n(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - h**4 + h**5 + (3*h**2 + h**2 - 2*h**2)*(-99 + 19*h**3 + 99) - h**5 + 0*h - h - h - h**4.\nAnswer: 38*h**5 - h**4 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i - 3. Let r be (i - (11 + -2))\/(-10). Sort -6, -2\/7, r in descending order.\nAnswer: r, -2\/7, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-7)\/(7\/26) - 0. Let z be 2*23 + (-2)\/(-2). Let t = i + z. What is the least common multiple of 10 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171846 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2. Let y(q) = -20*q**2 + 49*q**2 - 27*q**2. Determine y(k(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.596 less than 0.3?\nAnswer: -9.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 192740 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 3*n - 3*t, 2*t - 67 = 5*n - 186. Suppose -4196 = 23*x - n*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -17*f + 212. What is y(10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 10 + (-1 - 5 - (-57 + 37)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 734 = -3*b, -b - 4112 = -5*p - 428. Find the third derivative of -p*k**5 + 7*k**2 + 78*k**2 + 799*k**5 wrt k.\nAnswer: 3720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 32 = 8*a, 3*a = 3*v - 2*a - 38. Suppose 28*b - 36*b + v = 0. Factor i + i**b + 1\/4*i**3 + 0.\nAnswer: i*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/4 of a hour?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 841795 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: Simplify 5 + (4 + sqrt(891) + sqrt(891) + (sqrt(891) - (0 + sqrt(891))) + sqrt(891) + 5)**2.\nAnswer: 486*sqrt(11) + 8105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-56695)\/(-1334))\/((-30)\/8))\/(2\/(-3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -24, -1, 16, 69, -4 in ascending order.\nAnswer: -24, -5, -4, -1, 16, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 440 + -37. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 415 divided by 415\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 28401851*y**3 + y - 28401848*y**3 + y**2 + y - 6*y in the form m*y**2 + u*y**3 + i + o*y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -0.6, 0.1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3571073?\nAnswer: 11, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - u = 9, 5*q - 5*u = -u - 32. Let a be (-1)\/(-2) + (-10)\/q. Suppose y - 4*y - 4*g + 28 = 0, a*g = -5*y + 43. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024072081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 505 = 3*g + 2*r, 0 = -4*g + 3*r - 2020. Let y be 2746\/6 + 1 - 32\/(-24). Let t = y - g. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1771*p**3 - 21*p**2 + 21*p + 21. Let f(s) = -443*s**3 + 5*s**2 - 5*s - 5. Give -21*f(g) - 5*m(g).\nAnswer: 448*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 40*p - 159. Let j be u(44). Let z = 2 + 0. Solve 4*c = 4*q + 11 + j, -6 = z*q + 2*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1795, -2, 0.1, -59, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5200 divided by 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (805\/(-20))\/(2*3\/(-48)). Let a = 557 - y. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27244, 108610, 244226, 434098, 678232, 976634?\n\"Answer: d**3 + 27119*d**2 + 2*d + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 7. Let d be 2*(-21)\/(-6) + 0. Let z(y) = -4*y - 14. Let l(o) = d*f(o) - 3*z(o). Is l(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(9) - sqrt(144)) + ((2 + sqrt(3) + 1)**2 - sqrt(3)))*-3.\nAnswer: -36 - 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g - 1\/6*g**3 - 1\/8*g**4 - 3*g**2 + 0. Let y be (0 + 12\/(-15))*15\/(-6). Let r(u) = -7*u - 3. What is y*r(p) - 5*b(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, 5, 2\/5, 7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*d + 8*d = 10, -4*d + 20 = -3*z. What is the closest to z in 175, -2\/11, 0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6815 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p - 2. Let x be s(6). Put -4, 1, x in increasing order.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046 (base 13) in base 14?\nAnswer: -b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 1.1. Let k = 6 - 2. Which is the nearest to -1? (a) k (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150527001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 36*p**3 + 2*p + 464. Let k(r) = 2*r**2. Give k(l(y)).\nAnswer: 23328*y**4 + 864*y**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 386 - 386. Let v(i) = i**3 + i**2 - 46. Calculate v(s).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5221, 9895, 14567, 19237, 23905, 28571, 33235?\n\"Answer: -a**2 + 4677*a + 545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + 5. Let d(z) = z + 13. Let w be d(-3). Suppose 0 = p - w - g. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 0*m**2 - 4*m**2 + 0*m**2 + 5*m**2. Let x(r) be the third derivative of r**4\/8 + 2*r**2. Calculate u(x(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.1. Let l = -3 + x. What is the third smallest value in 2, l, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 256 = -0*g + 2*l, 366 = 3*g + 3*l. Suppose -5*q + 120 = -g. Calculate the greatest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-20))\/(42426\/565680)\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -422*j**4 + 4*j**2 + 6*j + 402. Let a(r) = 845*r**4 - 9*r**2 - 13*r - 803. Let s(g) = 4*a(g) + 9*m(g). Find the second derivative of s(u) wrt u.\nAnswer: -5016*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*h, 0 = -4*t + 3*h - 8 - 21. Suppose 3 = -3*z + 9. Let y(p) = p - 3 + p**z + 5*p + 5 - 3. Determine y(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1713.602832 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2052163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 3*t - 3. Let f(y) = -y - 7. Let x be f(-6). Let b(q) = 3*q + 3. Let c be b(-2). Let v(j) = -j**2 + j + 1. Calculate c*v(d) + x*a(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12263?\nAnswer: 12263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - 1)*-155*(0 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5497 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/15 and ((8*-24)\/(-8))\/155?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43799?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10245203 - -4?\nAnswer: 10245211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -52, 4 in descending order.\nAnswer: 4, 2\/19, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466016091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*m**2 - c*m - 3438*c - 68*m**2 + 6*m wrt m.\nAnswer: 2*c*m - c - 136*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 372 = 140. Find the third derivative of 6*y**2 + 87*y**6 - 62*y**2 - 30*y**2 + w*y**6 wrt y.\nAnswer: 12360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7583.446 micrometers?\nAnswer: 0.007583446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d. Let z = 376 - -2419. Suppose 14*b - z - 3183 = d. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w**3 + 4*w**2 + 8*w - 4. Let y(a) = -a**3 + a**2 + a - 1. Let v = -6 - 0. Let l(p) = v*y(p) + r(p). Factor l(k).\nAnswer: -2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897320429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12000225 - 0.12. What is t rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2182 - -2184. Which is the biggest value? (a) 1 (b) s (c) -0.3 (d) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 at most 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7222*p**4 - 2348.\nAnswer: -28888*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 153*c + 485. Calculate k(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/((h*h\/h**(1\/2)*h*h)\/h*h)))\/h*h*h*h**(10\/9)*(h*h*h**(2\/11)\/h)\/h**(-7\/6) assuming h is positive.\nAnswer: h**(788\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from kktiytk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2039 and -10.16?\nAnswer: 20716.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**6\/40 - 9*p**5\/80 + p**4\/16 + 3*p**3\/8 - 3*p**2\/4 + 4*p. Find n such that c(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 8*p - 66. Let u = p + -1. Solve -5*r - 2*h = 3, 5 = -0*h + u*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/740 and 121\/50.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 836 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 58*v**2. Let h(a) = -2299682*a. Determine w(h(u)).\nAnswer: 306735163465192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*k + 26*k + 5*a - 15, -3*a + 6 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-129)\/27 + (-6)\/27. Which is the third biggest value? (a) 4 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 9:40 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5290336 - 4?\nAnswer: 5290332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 965947 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 826848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -159.92 + 106. Let x = v + 53. Let p = x + 0.9. Is p less than or equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u + 21. Let y be f(-8). Let n(c) = 2448*c**3 - 2*c**2 + 14. Let l be n(y). What is l rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.4, 3879?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21122 (base 6) to base 13\nAnswer: 13bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26494898*s**3 + 13725336*s.\nAnswer: 158969388*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 767.22, -5.\nAnswer: -5, 0.4, 767.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = l - 19. Calculate the remainder when l is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172726 rounded to the nearest 1000?\nAnswer: 1173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + (49 + -8401)\/(-144)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 67*j**2. Let l(w) = 59059*w**2. Give l(s(i)).\nAnswer: 265115851*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 + (-2 - (-7536)\/(-2100)) and 127\/280.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -0.4276080782?\nAnswer: -0.0723919218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/(-2*sqrt(12)))**2*2 - sqrt(26)\/((sqrt(2) + (sqrt(24)\/sqrt(2) + sqrt(12))\/sqrt(6) - sqrt(2)) + sqrt(2)).\nAnswer: -sqrt(13)\/3 + 13\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 66. Suppose -y = 3*h, -3*r - 2*r - 3*h + 32897 = 0. What is r rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 15*b**3 + 4*b**2 - b - 2. What is q(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -73*l**7\/42 - 4*l**3 - 5*l**2\/2 + 48*l + 2. What is the second derivative of t(j) wrt j?\nAnswer: -1460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7221 = 4*d + 1901. Let z = -2580 + d. Round z to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*2\/3)\/((-6)\/(-27)). Let l(t) = t**2 - 7*t - 13. Give l(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 19*i**2 + 1592*i - 16004. Give g(11).\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 48 = -0*u. Suppose 0*v = -5*v + 50. Find the third derivative of 0*n**2 + 9*n**2 + v*n**2 + 25*n**u - 11*n**6 wrt n.\nAnswer: 1680*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1099464 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*b + 113 = -22, 5*a - 5*b = 135. Suppose -5*r = 4*v - a, 4*v = -3*r + 3*v + 19. Suppose 4*s + 78 = r*s. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2500240.\nAnswer: 2, 5, 31253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 135825637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g**6 + 3\/2*g**3 - 20*g**2 - 1\/10*g**7 + 0*g**5 + 0*g + 0 + 0*g**4. What is the derivative of d(c) wrt c?\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1851 = -1809. Let d = g + 5572\/3. Let q = d - 28. Put -3\/7, 3, q in ascending order.\nAnswer: q, -3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1209328 rounded to 1 decimal place?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-1)*(-7)\/(-28)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5245 + 4826*p - 5245.\nAnswer: 4826*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-3 - 2*sqrt(5)*4.\nAnswer: -41*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -5, 0.5, 87?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*s - 457*s + 1209 = 0 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47245 is divided by 2629?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/17 < 70\/1249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 23 + 22 = -5*u, -2*t - 3*u + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62778.18cm to micrometers.\nAnswer: 627781800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**5\/7 + 30*i**4\/7 - 110*i**3\/7 + 160*i**2\/7 - 15*i + 26\/7 = 0.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 10*s + 9. Let v(l) = -l**2 - 2*l - 1. Let b(a) = 6*v(a) + y(a). What is b(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9621424?\nAnswer: 2, 601339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 43. List the prime factors of (-5)\/(-2)*(-348)\/x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 8*k - 6. Solve -3*h = 5 - k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.92, 5, 1\/6, -3 in decreasing order.\nAnswer: 5, 1\/6, -0.92, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1005\/7 - -65297\/455. Is i at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tth when three letters picked without replacement from {k: 7, h: 2, t: 3, f: 5}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 366983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22282910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16743553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*q - 47*q + 40. Let y(w) = -w. Let s(r) = -8*r**2 - 20*r. Determine q*y(n) - s(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 13 = -14*d. Let x(h) be the first derivative of -3*h**2\/2 - h - 1. Determine x(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.94411 rounded to 1 dp?\nAnswer: -91.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*x + 101, 3*d + d + 3*x = 70. Suppose 3*g + 0 = q + 3, 2*g = -5*q + d. Suppose 333 = q*p - 276. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + 153\/27. Let y(o) be the first derivative of -o**3\/3 + 5*o**2\/2 + 6*o - 2. What is y(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.59 + -16.49. What is the closest to i in 2\/7, -0.43, 5\/4, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 5*u**3 - 3*u**3)*(0*u**2 - 5*u**2 + 2*u**2) + 3 + 64*u**5 + 238*u**5 + 97*u**5.\nAnswer: 393*u**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-364)\/910 + (-4 - (-64)\/10). Suppose -4*r = r - 20. Suppose r*k - 20 = -k. Sort 1, u, k, -3 in ascending order.\nAnswer: -3, 1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - 45. What is the units digit of (i\/63)\/(4\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -63*v**4 - 31*v**4 + 12*v**4 - 2*v + 0*v**3 + 0*v**3 + 3*v**4 + (-5*v**3 + v**3 + 5*v**3)*(1 - 1 - v) as q*v**3 + z + o*v**2 + s*v**4 + r*v and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - v**2 - 5*v**3 - v**3 + 3*v**2 + 2 + 3*v - 9 to i*v**3 + l*v + d*v**2 + n and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(9)*2))\/(6*sqrt(80))*-2.\nAnswer: -sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-4)*75439\/104454\nAnswer: -13\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = -15. Let u be ((-27)\/(-2))\/((-18)\/36). Let o = p - u. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 317.1704mg?\nAnswer: 317170400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/54)\/(((-4)\/6)\/(-2))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:21 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162*b - 249*b + 61*b + 531*b**2 wrt b?\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -151. What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.202 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*p = 2*p + 2, -p - 4 = 2*d. Let k be 12 + (2 - 2) + d. What is the common denominator of -4\/9 and 2\/k - (-36)\/(-55)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 2:21 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3815 + -3813. Solve 0 = t*r - 2*j + 3*j + 7, -17 = 5*r + 3*j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w**(7\/8)*w\/w**(-4) assuming w is positive.\nAnswer: w**(63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4 - 8*k + 3*k + 6*k. Let r = 26 + -20. Let z be (-14)\/r*21\/(-7). What is y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 870491.\nAnswer: 870491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 + 4*m**2 - 4*m**2. Let w be j(-1). Let f(n) = 3*n + 4*n - n - w*n. Let i(y) = -2*y. Determine f(i(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -327371 and 553?\nAnswer: -181036163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -298*d - 1190. Let p be h(-4). Solve -p*t = -t + 3*z - 10, -3*t = -z + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.22 - 0.78. What is the nearest to -0.1 in -2\/5, 0.3, l?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Let i = 0 - x. Let y = i + 5. What is the second biggest value in y, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300112*f - 145624*f - 1277031*f.\nAnswer: -1722767*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2728*k. Let a(s) = -45*s**2. Determine a(i(d)).\nAnswer: -334889280*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 146027 or 146028?\nAnswer: 146028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = -5*i, c + 3*i + 0 + 4 = 0. Let f(u) = -4*u + 26. What is the lowest common multiple of f(c) and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34119887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 6*u + 8*u)*(6*u + 3*u**2 - 6*u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j**2 - 131*j + 96. What is the remainder when g(39) is divided by 170?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 10 - 10)*(1164*q - 81*q - 490*q).\nAnswer: 2372*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 55*o**2 + 175*o + 120. Let l be (-490)\/8 + (-9)\/(-36) + -4. Let f(g) = -5*g**2 - 16*g - 11. Let n(r) = l*f(r) - 6*j(r). Factor n(z).\nAnswer: -5*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**3\/3 + 33*t**2\/2 - 32*t. Let x be j(17). Is -11\/5 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 12*c**2 + c - 18. What is d(-6)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 187\/52 - 15\/4. Which is the biggest value? (a) j (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b**2 - 2. Let w(u) = u**2. Let l(r) = -r**2. Let s(x) = -5*l(x) - 4*w(x). Calculate v(s(q)).\nAnswer: -8*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*k**3*o + 4*k**3*y**2 + 258*k**3 - 72*k*o*y**2 wrt o.\nAnswer: -6*k**3 - 72*k*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - 8. Suppose -37*z - 1479 + 184 = 0. Is b less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - -163. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 32*x - 62. Suppose 4 = -5*a + 6*h, 84*a = 83*a - 4*h - 6. What is f(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let d(x) = x**3 - 10*x**2 + 7*x + 12. Let h be d(9). What is the remainder when (-26)\/3*9\/h is divided by r(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -o + 14*p - 9*p - 65, -3*o + 4*o = p - 80 for o.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - (-3 + 0)\/3. Let p = q - -7. Suppose 0 = 4*h - p*h - 11. Calculate the remainder when 20 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 1 - -16) + (105 - 117) + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/3 (b) -0.3 (c) 1.005 (d) -175 (e) 0.1 (f) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 57, 0, 11 in ascending order.\nAnswer: 0, 2, 11, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o**2 - 4822*o + 1206 = 0.\nAnswer: -603, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*g + 2*g. Suppose g*l + 18 = 330. Let a = l + -87. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5 - 253*j**4 - j**3 - 2*j**2 - 4*j - 533 wrt j.\nAnswer: -180*j**2 - 6072*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 n when three letters picked without replacement from pnuunpuuuuupuuuunuu?\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.7503 - -0.0103. Let k = x + 8.94. Sort k, 5, -1\/3, -0.15 in descending order.\nAnswer: 5, k, -0.15, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16 + -6403904621.\nAnswer: -6403904620.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(2) + 1 + -4 + (sqrt(500) + sqrt(500)*2 + sqrt(500))\/sqrt(10) + -1.\nAnswer: -8 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 98, -2 in decreasing order.\nAnswer: 98, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*(2 - 2 - z**2)*(z - 2*z - 2*z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -2.45?\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 143.51 - 143.3. Round r to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -528 + 532. Suppose -y = -9 - 5. Sort y, b, 5 in increasing order.\nAnswer: b, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2245 (base 11) to base 2.\nAnswer: -101110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (sqrt(175) + (sqrt(175) - (-1 + sqrt(175))*5) - 1*(-1 + sqrt(175)) - (2*sqrt(175)*1 - (-2*sqrt(175) + -3)))**2).\nAnswer: -720*sqrt(7) + 33621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -127 - 8*z + 135 + 20*z. Let a(s) = -3*s - 2. Calculate -9*a(c) - 2*h(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3109 + -2098. Suppose y = 5*f - 2834. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71640 divided by -30\nAnswer: 2388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000410286499 rounded to 7 dps?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, p: 1, d: 1, v: 5}. What is prob of picking 1 p and 1 i?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afff when four letters picked without replacement from {a: 3, f: 4, i: 1, o: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 12*z + 22. Let u be w(10). Solve u = -a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -13.5 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/321 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:30 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 403868 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.044.\nAnswer: 0.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188669 to the power of 1\/2, to the nearest integer?\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72394.48ms to seconds.\nAnswer: 72.39448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-3) + ((-240)\/9)\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141147.69 months in millennia?\nAnswer: 11.7623075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 11\/10 of a microsecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.127 times 343?\nAnswer: -43.561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09848 + -24946.\nAnswer: -24945.90152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41342222 (base 7) to base 14.\nAnswer: 665782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 w when three letters picked without replacement from wgiwwgg?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 - 55*t + 34. Let v be y(27). Let d = 11 - v. Let h(f) = 3 + 3*f**2 - 6*f - 2*f**2 + 1. Determine h(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.3 (b) -3\/20 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6147259.\nAnswer: 449, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39.05 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2, 1\/310, 20?\nAnswer: 1\/310","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105917339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103330 + -3400?\nAnswer: -111130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137216026.\nAnswer: 2, 1697, 40429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -i + 7, 0 = -5*p - 2*i - 2*i - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-64)\/108*3 + 4\/2. What is the nearest to 0 in -0.4, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -9.1. Let d = -4 - 0. Let x = p + d. Which is the closest to 2\/11? (a) x (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9785115 by 51.\nAnswer: 191865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -0.2, 23, 1, 114, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-108*o + 187 - 187 + (1 + 3*o - 2*o + 0*o)*(-2 + 1 + 0))*(-32*o**2 + 32*o**2 - 7*o**3) to the form v*o**4 + j*o**3 + u*o**2 + p*o + r and give v.\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**5\/20 - t**4\/2 + 2*t**3\/3 - 4*t**2 - t. Suppose -x - x = 14. What is the remainder when 23 is divided by m(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1063359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -47 - -25848?\nAnswer: 25801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 68737191 and 12?\nAnswer: 274948764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12350958 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -3. Let t(v) = -26*v + 2*v**3 - 22*v + 47*v + 6. Let p(h) = 2*h**3 - h**2 - 2*h + 7. Let j(n) = -4*p(n) + 5*t(n). Calculate j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180520391?\nAnswer: 89, 2028319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 - -0.7. Let v = b + 1. What is v rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, w: 1, y: 10, z: 2}. What is prob of sequence zzwa?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 47*q + 27. Give j(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 60*q + 252. What is a(-7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24649201?\nAnswer: 17, 1449953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -1.2. Let n(t) = -101*t + 300. Let v be n(3). Let q = -137 - -961\/7. Put v, 3\/2, q, i in increasing order.\nAnswer: v, q, i, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19710 by 28.\nAnswer: 9855\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3308*s + 103. Let h be 1\/(7 - (-39)\/(-6)). Is u(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 13. Let x be s(-9). Let j = 2 - x. Let k be -980 + 2 + j + 0. Round k to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1048113000 to the nearest 1000000.\nAnswer: -1048000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34.97 - -3.97. Let f = r - -31. What is the closest to -0.1 in f, 1\/9, 3\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1\/12)\/c)*c**(2\/23))**(-7\/8)\/(((c*c**5*c)\/c**(2\/5))\/((c\/(c*c**(3\/4)))\/c*(c*c**(-7\/5)\/c)\/c)) assuming c is positive.\nAnswer: c**(-27929\/2208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 v when four letters picked without replacement from vmvmmm?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12935 is divided by 308.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6790 - -580?\nAnswer: -6210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from iillli?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcjm when four letters picked without replacement from {c: 3, u: 3, g: 4, j: 2, n: 6, m: 1}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 10 = 2*w - 3*r, 0 = -r + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5 + t**4 + t**3 + t**2 - 2*t**2 - 2*t**3.\nAnswer: t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 + -3.38. What is the closest to 0.1 in j, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v - 280. Let a be t(-35). Let s(w) = 9 + a*w - w - 32 + 2*w + 15. Determine s(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 257010152?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a**3 + 168*a**2 - 15?\nAnswer: 6*a**2 + 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*h - 6*h. Suppose 2*p - 15 = h*p. Which is the closest to p? (a) -4 (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 568, 1266, 1964, 2662?\n\"Answer: 698*m - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 39*q**4 - 281534*q**2 + q + 281539*q**2 - 2*q + q**3 to o*q**3 + y*q**4 + s*q**2 + n + h*q and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 5*j - 23 = -2*j, 5*j = -5. Suppose -q*t + 3 = -4*x - 4, -3*x + 3 = -t. Solve 0 = -5*s - 13 + t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/1*21\/14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 3*n + 3*n)*(0*n + 4*n - 6*n) - n**2 + 2 - 2 + (-2*n**2 - 4*n + 4*n)*(4 - 4 + 1).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by -119\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.173452 and 14.83.\nAnswer: -2.57229316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100646 and 5668013?\nAnswer: 1027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6743243195 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (32 - ((-21 - (22 + -78)) + -18)) + -42\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 614696 or -629?\nAnswer: 614696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99)*1 + sqrt(99) - sqrt(99)) - sqrt(99))\/sqrt(9) + (sqrt(1331) + 1*sqrt(1331))**2 + sqrt(11) + -2.\nAnswer: -2*sqrt(11) + 5322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (567\/2)\/7*((-4)\/10)\/((-24)\/40)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -136311 divided by -3\nAnswer: 45437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58755 + -12026. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 327, 12, 3, -15, -3 in ascending order.\nAnswer: -15, -3, 0, 3, 12, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48182.999894332 - 48183. Round d to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -10. Let g = -11 - a. Let f = g + 22. What is the remainder when 29 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in months?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:26 PM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5) + 2464\/5885. Let u = i + -115\/428. What is the closest to u in -0.4, 0.2, 0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14084 is divided by 183.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + -133 + 2 - -2. Let k be r\/(-16) - (-1)\/(-4). Let m = -7 + k. Solve -4 = 2*g, 5*j + g - m = -g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 214721 - 147156. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 + 771*o**2 + 46728*o - 365904 = 0.\nAnswer: -132, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/(t**(-15)*t)*t)\/t)\/t**(-2\/3))**(-9) assuming t is positive.\nAnswer: t**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**6\/120 + 3*l**5\/20 - 5*l**4\/24 + 13*l**3\/6 + 3*l**2. List the prime factors of w(6).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8451 - 4287 = 0. Let u = d - 4540. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 105890090*o**2 + 2197899 wrt o.\nAnswer: 211780180*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2100 divide 369104400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 2*f**3 + 3*f**3)*(-7*f**2 + f**2 + f**2) + (-3*f + 3*f + 2*f**2)*(-3*f**3 + 3*f**3 + 2*f**3).\nAnswer: 14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 25*r = 14. Suppose -39 = 6*c - 213. Calculate the remainder when c is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 + 1 + 26)*(3*v + v - v) to the form f + n*v and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -45 + 37?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685607 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 2*h**2 - 46*h + 15. Let r be c(-7). Let z be ((-2)\/(-6))\/((-3)\/(-99)). Let y = r + z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(55) + sqrt(220)))\/(sqrt(66)\/sqrt(24)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283066, 281310, 279568, 277846, 276150, 274486?\nAnswer: 272860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(720)*2*-1)**2 - (1*3*(sqrt(720) + 0))**2.\nAnswer: 7920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 6*m + 2. Let c be ((-24)\/9 + -2)*-3. Suppose -c = -3*h - 2. Is a(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (15 - -4) - 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2492.357 kilograms in grams?\nAnswer: 2492357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(5\/14)*(1025\/(-82))\/(-25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21*g - 25*g = -524, 0 = -3*s + 3*g + 411. What is the remainder when s is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -4, 3, 35, 0 in descending order.\nAnswer: 35, 20, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33042, -33035, -33024, -33009, -32990, -32967, -32940?\nAnswer: -32909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 88*i + 278. Determine b(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171*i**3 - 35*i**2 - 3312*i - 1 wrt i?\nAnswer: 1026*i - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09391 * 131.\nAnswer: 12.30221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 32, 171, 550, 1289, 2508, 4327, 6866, 10245?\n\"Answer: 20*a**3 - a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 - 26.02. Put g, -0.2, 2 in decreasing order.\nAnswer: 2, g, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.9749204 rounded to 2 dps?\nAnswer: 46.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/6 + (-15)\/(-36). Let a = 6 - 2. What is the biggest value in -0.5, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.052 (b) -3 (c) 382 (d) -1\/10 (e) 4 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3174 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: How many minutes are there between 1:44 AM and 1:48 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + u**3 + 5 + (u + 8 - 12 + 5)*(-2*u**2 - 8*u**2 + 16*u**2).\nAnswer: 7*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**6\/60 - f**5\/120 + f**4\/12 - f. Let w(n) be the third derivative of c(n). Does 24 divide w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -11, -21, -33, -47?\n\"Answer: -q**2 - 5*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4\/7 - 773*i**3\/7 + 12948*i**2\/7 - 72756*i\/7 + 19440 = 0. What is i?\nAnswer: 5, 6, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-70)*-4)\/((448\/10)\/(-4))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.737762634 to 4 decimal places.\nAnswer: 2.7378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-1)\/3*(-34 + 26)). Which is the closest to n? (a) -2\/467 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, n: 4}. What is prob of sequence nll?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/7))**30\/(s**10*s*s\/(s*s**(-2\/17)\/s)) assuming s is positive.\nAnswer: s**(-2462\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3751 - 6\/(-9)*3)*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*t + 16 = 0, 14 = 6*d - d - t. Does 17 divide d + (-2)\/(-4)*1*164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 12*m**2 - 9*m - 8. Let l be q(13). Let g = l + -13. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.5. Let g = 3591.1 + -3434. Let q = g + -157. Which is the closest to q? (a) z (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -132\/31, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 - 59*c**2 + 42*c**2 + 17*c**2 + 2*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4907 + 4143 - 6508 - 6505)*(-2*b**2 + 3 - 3).\nAnswer: 27554*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*g + 804*g + 405*g + 335*g.\nAnswer: 1458*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007863 to 4 decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -165*a**3 - 10075*a**2 - 10510*a - 600.\nAnswer: -5*(a + 1)*(a + 60)*(33*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 416656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 6*g + 15. Let q = 7 - 11. Let w be x(q). Solve -w*t = -3*t + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a day in minutes?\nAnswer: 7488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4 = -f, 49 = -1667*f + 1671*f - 5*h. Which is greater: f or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s**3 + 116*s**2 + 28538*s + 109328434 wrt s?\nAnswer: -9*s**2 + 232*s + 28538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 17*i = 22. Suppose 5*c = 5, 10*l - i*l - 4*c + 10 = 0. Solve -6*j - l = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/60*3*2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*t = 434*t - 1288 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4.64. Let x = -17106977 + 17106977.36000074. Let w = x - t. Round w to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 61 + -61. Solve p = -y - j - 9, 0 = y - 0*j - 2*j - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141081659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -28808\nAnswer: 5761.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28813 is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1050000 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**6 + v**5 + 625*v**4 + 10659*v**2 wrt v.\nAnswer: 240*v**3 + 60*v**2 + 15000*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130998 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 + 91 - 91 - 2*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 687144.2 millilitres?\nAnswer: 687.1442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 1421.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2\/6 - 237291*k\/2 - 711875\/3 = 0.\nAnswer: -2, 711875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 11:07 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*i**6 - 7*i**3 + 107*i**2.\nAnswer: 2880*i**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-22) + (-59)\/(-649).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etjoottootekvvo. Give prob of sequence oev.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28842421*p - 28842421*p - 2964*p**2.\nAnswer: -2964*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567928*r - 6*v - 8 = -567933*r, 3*v = -3*r + 6*v + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 - 2*q**3 - 2*q**4 + (-4*q + 4*q - 3*q)*(q - q + 19*q**3).\nAnswer: -59*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + (-3)\/(-84). Let c = 1389\/31 + -2747\/62. Sort g, 0, c in decreasing order.\nAnswer: c, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 869419859.2 to the nearest one million.\nAnswer: 869000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303026.\nAnswer: 2, 103, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5674243\/2529730 + -6\/36139. Let s = 1\/10 - x. Is -1 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 13 - 2*m**2 + 1\/540*m**6 + 5\/108*m**4 - 1\/45*m**5 + 0*m + 0*m**3. Factor h(l).\nAnswer: 2*l*(l - 5)*(l - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 51193479.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2817*f**3 + 2*f**2 + 5536*f - 11099*f + 5566*f)*(-1 + 1 - 2) to the form z*f**3 + j*f + x + g*f**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -7234.\nAnswer: -7233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 104*z - 56. Give c(0).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 - 5*m - 4. Let c be (1 - 2)*-2 - -4. Let b be l(c). Suppose -20 = -5*f + 5*u, -3*f + f + 4*u = -16. Solve -v = -f*v + b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 83*r + 66. Let q(y) = 28*y + 22. Let i(j) = -11*q(j) + 4*u(j). Find the first derivative of i(l) wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.00986867 to three decimal places.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 33, 0.1, 0.04, 3584?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - (1 + (11 - 4))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a**2*b - a**2 - 291*a*b - 70 wrt b?\nAnswer: 3*a**2 - 291*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.4, -0.22, -4, 73.\nAnswer: -4, -1, -0.22, 0.4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b + 40. Let n(a) = -a**3 - 9*a**2 - 10*a - 4. Let d be n(b). Solve 3*y = 6*y + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*v - 26 = 0, 2*s - 23 = -5*v + 23. Let g = 25 - s. Calculate the least common multiple of g and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5 = -i, 3*i - 2*i + 1 = -5*b. Let u = -21 - -37. Suppose -4*l = i*d - 16, -6*d - l + u = -d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/242 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**3\/3 - 8*q**2 - 70*q + 123. Let j be y(-8). Sort 2, j, 0 in ascending order.\nAnswer: j, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r + 2*r = 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*i**4 + 9573*i**3 - 671738*i**2 + 13058688*i - 47900672 = 0. Calculate i.\nAnswer: -2462, 19\/4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**5 - l**5 + 2*l**5)*(5 + 7 - 6)*(2 + 2 - 2).\nAnswer: -36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/2)\/((-3)\/(-4)). What is the third derivative of -18*l**3 - 10*l**2 - 14*l**4 + i*l**3 wrt l?\nAnswer: -336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {l: 1, t: 2, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(18))**2 + -2 + (sqrt(2)*-1 + 1 + sqrt(2))**2.\nAnswer: sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - o)*(4*o + o - 3*o + (1 - 4 + 2)*(-o - o + 0*o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151623392 and 1888?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4328420819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7707?\nAnswer: 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65468 or -67454?\nAnswer: -65468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (5 + -1) - (173 - 102 - 67)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83116 + 1541156 = 48*m - 8*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -603*f**2 - 19*f + 14. Let j(k) = -300*k**2 - 8*k + 6. Determine 2*g(q) - 5*j(q).\nAnswer: 294*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 18. Calculate b(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1953 - 1922 - (104 + 1 - 0)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = 3*y + g, 2*y + 3*g + g - 296 = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:18 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012412 rounded to five decimal places?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 972512*-0.1\nAnswer: -97251.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(175) + 1) + -2*(sqrt(175) - 1*sqrt(175))**2.\nAnswer: -15*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 5*g**3 + g + 4*g**3)*(5644 - 2570 - 2503).\nAnswer: 571*g**3 + 571*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 10*g - 11. Let t be v(6). Let n(r) = r**3 - 14*r**2 + 14*r + 14. Let o be n(t). Let d = o + -26. Is 1\/81 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-1768)\/(-16))*8534\/1255.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.045, 0, 0.04, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (507*j**4 - 2*j**2 + 2*j**2 - 841*j**4)*(0*j + 2*j + 0*j).\nAnswer: -668*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b. Let j(x) = 7*x + 1. Let s(g) = -3*j(g) + 4*n(g). Let f be s(3). What is the units digit of -4 + -1 + 3 + f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {s: 5, u: 4, f: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2809 + 2811. Let k(q) = -q**3 + q**2 + q - 1. Let r(c) = 4*c**3 - c**2 - 2*c + 6. What is g*k(j) + r(j)?\nAnswer: 2*j**3 + j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*i + 2414 = 553*i - 13306 for i.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, 11\/3, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/16 + 567\/108?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -801.45048 - 838\nAnswer: -1639.45048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 9) + (10 - (35 - 57))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjaz when four letters picked without replacement from {h: 1, e: 1, s: 1, a: 1, j: 2, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 3*i**2. Let d(x) = -12*x**3 - 58*x**2 + 62*x - 32. Suppose 5*t + 21 = 26*t. Let v(o) = t*d(o) + 10*r(o). What is m in v(m) = 0?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120032321 + -220?\nAnswer: -1120033201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 + 58. Suppose -2*s - 59 = -5*t + b, 5*t = -3*s + 96. Calculate the least common multiple of 12 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1\/n*n)\/(n\/n**(-2\/7)*n)*(n**(3\/4)\/n*n)**(18\/5) assuming n is positive.\nAnswer: n**(99\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -47*q + 2. Let h(g) = g**2 + 16*g. Let j(z) = 21*z**2 + 308*z. Let p(f) = 77*h(f) - 4*j(f). Determine p(i(c)).\nAnswer: -15463*c**2 + 1316*c - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -188123 greater than or equal to -188123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-5\/8)\/g**(-22) assuming g is positive.\nAnswer: g**(171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 424 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 10*p**2 + 72*p + 23. Calculate s(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*k = -16, 0 = z - 6*k + 5*k. Let j(h) = -169 + 0*h**2 - z*h**2 + 169. Let i(d) = -20*d. Give i(j(p)).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4379, 4373, 4369, 4367, 4367, 4369, 4373?\n\"Answer: s**2 - 9*s + 4387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 36, 37, 58, 105?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -1. Let t = -50 + o. Suppose -b + 1386 = t*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156830*b**5 + 83*b**2 + 1805.\nAnswer: -9409800*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/1368 and 127\/432.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 500, 388, 220, 8, -236, -500, -772?\n\"Answer: 2*t**3 - 40*t**2 - 6*t + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 18*y**2 + 10*y + 186. Calculate g(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**3\/3 - 15*a**2\/2 + 2*a. Let s be p(10). Let u(t) = t + 5. Let j be u(-4). Sort s, j, 4.\nAnswer: j, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 6*s + 4. Let l be c(5). Let p be (-92)\/l + 1\/(-6). Which is smaller: -5 or p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1119 + -1117.506. Let h = f - 1.21. What is h rounded to two dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 109941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4902078 - 12?\nAnswer: -4902090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -257\/7581?\nAnswer: -257\/7581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2435546*j**3 - 532888*j**2?\nAnswer: 14613276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 8.1. Let w = -3 + 3. Which is the closest to y? (a) w (b) 3\/2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 6*o + 9. Let t be u(7). Solve -h - t*n = -4, -5*n + 5 + 4 = 2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 23723009.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*1\/((-5)\/10). Suppose 4*z - z = -f*l + 38, -4*z = 4*l - 48. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147042?\nAnswer: 2, 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + l + 79 + 50 = 0, 3*v - 196 = 4*l. Suppose 41*b = 45*b - v. What is the remainder when 158 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.3369 * -0.08.\nAnswer: 0.586952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 143506, 143508, 143510?\n\"Answer: 2*a + 143504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a - 5*a + 0 + 2 + 1 + a**2. Let o be s(9). Suppose 3*v = 2*n - 33, 2*n - o*v = 2*v + 39. What is the highest common divisor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-21))\/(580\/(-90)*-3)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 48039656.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 106820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 40*i**2 + 1 - 2 + 37*i**2.\nAnswer: -3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/(-1728) - 97\/(-18)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 - 9. Let q be (-122)\/(1\/(2 - -3)). Find the common denominator of (-6)\/t - q\/224 and 53\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 5*j**2 + j - 6. Let p be i(5). Find the common denominator of (122\/9)\/((-16)\/6) and 10\/(p - -3) + (-70)\/(-252).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74645998 * -0.1.\nAnswer: -7464599.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by 18.\nAnswer: -23\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 42*b**2 - 4*b + 1. Let v be z(3). Let l(j) = -4*j + 11*j + 360 - v. Calculate the common denominator of -31\/8 and l(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 480, 39, 5\/4, 117?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - ((4 - 2) + -7). Suppose s - 5*z = 12 + 173, b*s + z = 403. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/12)\/((1 - -2)\/63). Let m = z + 50. What are the prime factors of (-22)\/(-3)*(m + 2\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125938 or -125941?\nAnswer: -125938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 241845400259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1378397843?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = b + 5, -3*f = -2*b - 0 + 12. Let p(j) = 4*j + 2*j - 2 - b*j + 7*j**2. Does 16 divide p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33394000 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/32796244 and 5\/16.\nAnswer: 131184976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 69*m = 67*m + 2, 24 = -3*o - 3*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j - 3. Let z(a) = 6*a + 4. Calculate -7*v(y) - 5*z(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589171.\nAnswer: 11, 19, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26229198979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13688 - -13689. Which is the nearest to 4? (a) -0.5 (b) w (c) -3\/5 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 275888462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 416720800 to the nearest one hundred thousand.\nAnswer: 416700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 11*m**3 - 3 + 3 + 60*m**3 - m + 2*m**2. Let n be d(1). What is the greatest common divisor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from qiiacacm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10940000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 22110856, 44221715, 66332574, 88443433, 110554292, 132665151?\n\"Answer: 22110859*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*x**2 - 524*x**2 + 798*x**2 - 6*x.\nAnswer: -224*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*y + y - 5*y)*(0 + 2 - 5) - 19142 - 8*y + 19218 + 3*y to a*y + u and give u.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10142422 (base 5) to base 9.\nAnswer: -137337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 r when four letters picked without replacement from {l: 9, r: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17501 or -63?\nAnswer: 17501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)*t*t*t*t*t**(-8\/3))**(-28\/5) assuming t is positive.\nAnswer: t**(-287\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 + 64*p - 68 = 0. Calculate p.\nAnswer: -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -18. Let b = 15 + h. What is the hundreds digit of 4432\/40 + 2\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1061343 (base 7) in base 2?\nAnswer: -100000010111100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1, -167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from qmp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22\/15 + 184\/105. Let n = 294 - 293. Put b, -3, n in decreasing order.\nAnswer: n, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1300)\/(-44) + -8 - 19)*-11\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49218258 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3*l + 687456*c**3 - 3319*c**2*l + 22*c*l + 2*l wrt l.\nAnswer: 3*c**3 - 3319*c**2 + 22*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 150582774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 417, 824, 1205, 1548, 1841, 2072, 2229, 2300?\n\"Answer: -2*a**3 - a**2 + 424*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -21. Let h be (2 - p\/(-1))\/(-2). Sort -2, h, 1 in ascending order.\nAnswer: -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-1 - -4))*(0 - -1). Let b be 1*(z + 3) - (-23)\/(-8). Let u = 2 + -1. Do b and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4737 and 4738 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*b + 23*b - 17*b + 126*b - 20*b - 25*b.\nAnswer: 137*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.343 times -0.2?\nAnswer: -0.2686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-12)\/(-9))*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:52 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 - 2*o**2 - 2*o + 1. Let d be w(-1). Let f be 6\/d + (-385)\/(-20). What is the highest common factor of 8 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84255 is divided by 28082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02148175 rounded to 5 dps?\nAnswer: 0.02148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34.1 + -36. Let k = p - -0.9. Suppose -6*u - 8 = -2*u. Which is the nearest to -2\/7? (a) 1 (b) k (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15792979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 15*x - 37. Calculate n(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 415*y**4 - 814*y**4 + 0*y**3 - y**3 - 23*y**2 + 401*y**4 + 2*y to t*y**4 + s*y**3 + x + b*y + u*y**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26.952 - -0.048. Let w = 25.538 + 0.962. Let s = n - w. Which is the third biggest value? (a) -4\/5 (b) -3 (c) 4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(24)\/sqrt(4)) - (sqrt(7) + (1*sqrt(77))\/sqrt(11))**2 - ((sqrt(112))**2 + -3 + (sqrt(7) + 0)*-5).\nAnswer: -137 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(3\/(-6)*-4). What is the derivative of 1 - m - 3*y**4 - 2*y**4 + y**4 wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2666339 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027.776 rounded to the nearest integer?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**2\/2 + 6. Let g(i) = 21*i**2 - i. What is g(a(f))?\nAnswer: 21*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 114. Suppose 59*u = 62*u - y. What is the highest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 4*x**2 - 7*x + 4. Let l be (-10)\/((1040\/39)\/(-8)). Give r(l).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18)*6\/(-15))\/(7\/(-5))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(q - 7*q + 0*q)*(-2 - 2 + 6).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4275.42825 - -3368.4028. Let p = d + 907. What is p rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -0.29.\nAnswer: 5.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 5*p**5 - 40*p**4 - 245*p**3 - 20*p**2 + 900*p + 720 = 0.\nAnswer: -3, -2, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21865 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 + 61 = 7*x + 40 + 7 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-3)*(-6)\/(-4). Let g(x) = 5*x**3 - 2*x**2 + 2*x - 1. Let h be g(1). Find the second derivative of o**4 - 3*o**4 + t*o + 4*o**h wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -1\/12*b**3 + 1\/4*b**2 + 0*b + 7. Factor h(r).\nAnswer: -r*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1304 - -4?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202 a factor of 72095089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104 - 99. Suppose -y*i - 2*c + 302 = 0, -3*c + 4*c - 241 = -4*i. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3308.32 years?\nAnswer: 39699.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 7*o - 247. Suppose o*u + 21 = 59*u. Calculate the smallest common multiple of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**3 + 2*t**2 + 6*t - 1. Let g(p) = -p**3 + p - 1. Suppose 0 = -2*n - 3*s - 5 - 2, 2*n - 3*s - 11 = 0. Let x(l) = n*u(l) - 4*g(l). What is x(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 6278?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*y = 44, -j - 5*y = j - 8. Suppose 15 + j = 12*g. Solve g*i = 4*i - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -146*h - 141. Let x be l(-1). Let o(n) = n**3 - 3*n**2 - 6*n - 3. Determine o(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 = -3*g. Suppose 4*d = -g*a - 0*a + 96, 0 = 4*d - 2*a - 80. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (1 + ((sqrt(204) - (sqrt(204) - sqrt(204)*-2 - sqrt(204)))*-4)\/(sqrt(120)\/sqrt(160) - sqrt(12)))*-4.\nAnswer: -5 + 64*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 11, t: 7, w: 1}?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2.1. Let u = 0.088 - -3.912. Suppose -2*h = -2*g, 5*g + h - 11 - 1 = 0. Which is the nearest to f? (a) -0.2 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8354, -16612, -24846, -33044, -41194, -49284, -57302, -65236?\nAnswer: -73074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 26*v - 22. Solve -3*n - v*g = 12, 4*n + 14 = -5*g - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1144, 3557, 7242, 12193, 18404, 25869, 34582, 44537?\nAnswer: 55728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -2\/21, 1785, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/364 - (-498)\/(-364) and -93\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3.226, 4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247 divided by 227367.\nAnswer: -247\/227367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-16)\/t)\/t)**(-50)\/(t**(-12)\/(t*t**(9\/4))) assuming t is positive.\nAnswer: t**(3461\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292 + 291. Is 6\/19 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*k + 366 = -10 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 10:47 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*o**3\/11 - 30*o**2\/11 - 48*o\/11 - 24\/11.\nAnswer: -6*(o + 1)*(o + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1053 + 146?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 527475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 10965 = 4*l - 7*y, l - 2736 = -y. Let i = 5338 - l. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23 + (-4 - (11 + 6)). Factor 3\/4*n + 3\/4*n**t - 9\/2.\nAnswer: 3*(n - 2)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.14 * -1.3.\nAnswer: 57.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 - -30. Let c be 2\/(-5) + f\/10. Solve 3*n = -5*z + 14, -n - c = -4*n - 3*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/5985 and 50\/7181411?\nAnswer: 2262144465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 288849.1m?\nAnswer: 288849100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -405\/7? (a) -0.5 (b) -3.2 (c) -0.4 (d) 1\/5 (e) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 times -0.6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 + k + 1. Suppose p - 1 = 2*p. Let z(q) = q**2 - q - 1. Let u(j) = p*l(j) - 5*z(j). Let u(n) = 0. What is n?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 27*g**2 - 69*g - 76. Calculate the remainder when 1311 is divided by f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 160872259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000 (base 3) in base 6?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1339, -7 in ascending order.\nAnswer: -22, -7, 1339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 67185636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:09 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3*s + 6. Let k(a) = a**3 - 11*a**2 + 6*a. Let d be k(11). Calculate the highest common divisor of d and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-105) + 4\/14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240.965 + -0.035. Let c = g - -244. What is the second smallest value in 0.11, -2, c, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77489*x**4 - 26745 wrt x.\nAnswer: 309956*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -4 - 3) + 0 + 3. Let d(g) = -13*g + 3. Let z be d(o). Let a = 83 + -55. What is the highest common factor of a and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10 = 2*m. Let n(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + r**3\/6 + r**2 - 128*r. Give n(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 6*v**3 - v**3 + 4 + v + (3*v + 4*v - 6*v)*(-v + v - v**2) + (0*v**2 - v**2 + 4*v**2)*(72 + 32*v - 72).\nAnswer: 88*v**3 + v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmknmmmmm. What is prob of sequence kn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 14*t**2\/3 - 16*t\/3 - 32\/3.\nAnswer: -2*(t - 4)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.44259 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 294, 1162, 2608, 4632, 7234?\n\"Answer: 289*c**2 + c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-49)*j\/j**(-1\/7)*j*(j*(j\/(j\/(j\/(j\/(((j\/j**(2\/27))\/j)\/j)))))\/j*j)\/j assuming j is positive.\nAnswer: j**(-9059\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27981 - 2856. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 3*d - 2*d)*(6*d - 3*d + 3*d) - 2*d**2 + 3*d**2 + 0*d**2.\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2742 + 365.3?\nAnswer: 3107.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38167 + 38167 - 3*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, t: 5, s: 5, f: 1}. Give prob of sequence sfs.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 4*u - 21, 2*u = 14*x - 12*x + 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 59*z**2 + 190*z + 288. Give d(-62).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -11\/2 + 1\/4*u**2 - 9\/4*u = 0?\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 190 = -103*w - 28*w + 134*w, w - 58 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, h: 2}. Give prob of picking 2 q and 2 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k. Determine t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307.854 litres in millilitres?\nAnswer: 2307854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 4*b + 2*b)*(12 - 4 + 2).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 4)*(-3)\/12. Let f = 0.3 - -0.2. Which is the third smallest value? (a) 2\/7 (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -422*g*z + 4079*g + 2*z wrt z.\nAnswer: -422*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6888)\/(-2772)*2013\/122.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73348, 146665, 219968, 293251, 366508, 439733, 512920?\n\"Answer: -l**3 - l**2 + 73327*l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-4)*(1 - -7). Let m(f) = 1063*f + 7442. Let x be m(-7). Let r(w) = w + 1. Let i(g) = -8*g - 6. What is s*r(h) + x*i(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1416 divided by 472?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 10 + (-73 + 73 - (12 + (2 - 5)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z + n, -5*n + n + 4 = 0. Suppose b = 4*b. What is the second derivative of j + 2*j**2 - 2*j + b*j**z wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15309675 bigger than -15309674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831360 at least 19156802\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*(-7 - 1). Suppose 5*z - 575 = -0*z + 5*u, j*z + u = 450. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s. Let z(f) = 19*f + 36. Give l(z(t)).\nAnswer: -19*t - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12479, 25351, 38403, 51641, 65071, 78699, 92531, 106573?\n\"Answer: v**3 + 84*v**2 + 12613*v - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-30)*z\/(z*z*z**(2\/5)*z*z))\/(z**(-1\/26)*z\/(z*(z*z*z*z**10)\/z)) assuming z is positive.\nAnswer: z**(-2647\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from slspsllslsplp.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(75\/6) - (-55176)\/4840 - 138\/15?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, -77, 0.4, 0.19 in descending order.\nAnswer: 0.4, 0.19, -3.2, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*r**5 - 165*r**4 - 415*r**3 + 205*r**2 + 270*r - 40 = 0. Calculate r.\nAnswer: -1, 4\/29, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 t when four letters picked without replacement from utiituitutiuuuu.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 130796 = -130853 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -470441690.\nAnswer: -470441689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -547 + 1?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19215 by 1.\nAnswer: -19215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**11\/p*p*p))\/(p**(-2\/9)*p)*(p*p**17)\/(p\/(p**20*p*p)*p) assuming p is positive.\nAnswer: p**(236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1126476 by -166.\nAnswer: -6786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1085\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187*379451.\nAnswer: 70957337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-270)\/(-2025))\/(5\/((-200)\/(-3))).\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/475 and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 24 = c. Let l = -13841 + 69218\/5. What is the common denominator of (-2)\/(-8) + (-442)\/c and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/11 + 9818*g**2\/11 + 29220*g\/11 - 96336 = 0. What is g?\nAnswer: -4906, -12, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -37 * -0.09\nAnswer: 3.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 456676.8 days?\nAnswer: 10960243.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*x + 144 = -77*x. Let d = x + 179. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226950313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -3*m**2\/2 - 1. Let g(o) be the second derivative of o**3 - 2724*o. What is g(c(t))?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjaf when four letters picked without replacement from {o: 4, f: 1, j: 2, a: 2, i: 1}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 5*g**3\/3 - g**2\/2 - 2*g. Let o be z(-1). Let n = o + 6. What is n rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16055.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*l**2 + 567*l**2 - 134*l**2.\nAnswer: 766*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -453150 divided by 3?\nAnswer: -151050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218645521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4961187 and 144.\nAnswer: 79378992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vayfbbn. Give prob of sequence bby.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, y: 4, o: 6}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - i**3 + 22*i**2 + 2*i**3 - 97*i**2 - 2*i**3 + 37*i**2 to j*i + w*i**2 + k*i**3 + a and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4e8 (base 15) to base 6\nAnswer: -5102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90408 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -39*z + 27. Let l(m) = -13*m + 9. Let j(p) = -4*a(p) + 11*l(p). Is j(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 346 times -0.168257\nAnswer: -58.216922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 89*g**2 - 500*g + 9. Let v be j(6). What is the highest common divisor of 39 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4. Let k = -1.8 - -0.8. Which is the nearest to k? (a) y (b) 1\/5 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8720617?\nAnswer: 8720617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 3.8. Let n = x - 3.6. Let f = 3 + n. What is the third smallest value in -4\/3, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 2*w**2 + 26*w + 2. Let b be l(4). Calculate the highest common factor of 26 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 86, 5 in decreasing order.\nAnswer: 86, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1238, 0.5, 6, -22 in descending order.\nAnswer: 1238, 6, 0.5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - (sqrt(135)\/(sqrt(5) + sqrt(20)\/sqrt(4)) - sqrt(27)))\/(-3*sqrt(45)\/sqrt(5)) + 2 + (0 + sqrt(675) + sqrt(675) + sqrt(675) - sqrt(675))**2.\nAnswer: -sqrt(3)\/2 + 2702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1421.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 6, i: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2. Let z = 821 + -1033. Let u = 210 + z. Let x be -1 + (6 - 2)\/2. Let y(r) = -r**3 - 2*r**2 + 3. Calculate u*s(d) + x*y(d).\nAnswer: -d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-4) - -2) + -3. Let d = 48.9 + -49. What is the third biggest value in m, 0, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 2. Let l = a + 4. Suppose -2*f = -l*o - 6, 3*o = -2*o - 4*f + 30. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53 + -213\/4. Let j = -0.1 + 0.3. Let z = j + -0.2. Does z = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2925 - 3?\nAnswer: -2928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7961544 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + -0.01. Let m = -700\/9 + 78. What is the nearest to m in 0.5, -2\/9, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - f + 5, 21 - 9 = 5*m + 2*f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 4\/(-22) + 38\/88. Let m = -2 - -1.8. Let d = -0.3 - m. Put d, 0.2, w in descending order.\nAnswer: 0.2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, e: 3, i: 2}. Give prob of sequence iiel.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 65. Suppose 2*s - 2*k + 6 = 0, -s - k = 2*k - y. Solve 0*p = p - s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -9*r + 4*r - 102, -2*g + 130 = 2*r. Let d = -25 + g. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2426\/715 + -1\/143. Is j != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3, 48, 2 in descending order.\nAnswer: 48, 19, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -24. Let c be (g\/(-10))\/(1 - 12\/10). Calculate the greatest common factor of 17 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-1*6\/(-4)). Let c(r) = 20*r - 1. Let i(z) = 30*z - 1. Let j(l) = 8*c(l) - 5*i(l). Let q be j(1). Solve -s*b + q = x, 2*b + b + 3 = 2*x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2623*s**3 + 112*s**2 - 7*s + 123060 wrt s.\nAnswer: 15738*s + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 2*m**2 + 30*m + 9. Suppose l = -4*i + 1, -4*l + 2*l = i + 12. Is 8 a factor of a(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 5*t - 20, -3*l - 338 = 3*t - 326. Factor -22\/7*y**3 - 20*y**2 + l - 200\/7*y - 1\/7*y**4.\nAnswer: -y*(y + 2)*(y + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -22.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 5\/4 (c) -2\/51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 148 = -3*z + 280, -4*t - 5*z + 420 = 0. Calculate the highest common factor of t and 580.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 5*q - 12*q)*(6 + q - 6) + (-2 + 2 + 3*q)*(-2*q + 2*q - q).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 0) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3106 or 3107?\nAnswer: 3107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 904 and 15448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 4 = 2*s, 3*u - 5*s = 2*u - 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1061 + 0?\nAnswer: -1061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 times -0.7?\nAnswer: -158.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12105091, -24210188, -36315285, -48420382, -60525479?\nAnswer: -72630576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.361 + 73474446689.\nAnswer: 73474446689.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.17 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 9. Let k(m) = 2*m + 7. Let z be k(-8). Let s be j(z). Suppose -2*d = 5*w - 35, -4*w - 4*d + 2*d + 30 = s. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1655563 by 71981.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10685, -21416, -32147, -42878, -53609?\n\"Answer: -10731*t + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*l + 10 - 0, l = -5*g + 15. Suppose -c + 3*c = 32. Calculate the least common multiple of c and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, -3825, -14369, -34903, -68757, -119261?\nAnswer: -189745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -470*p**2 - 30084*p - 206. What is n(-64)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 - 282. What is the nearest to -1\/4 in -0.1, 2, u, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.2 + -3. Let d = -80340 - -80556. Which is smaller: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**3 + 62*f**2 + 412*f + 6928. Determine q(-16).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 571060 is divided by 884.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 701612231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(3*3\/9). Let h(z) = -2*z**3 + 4*z**2 - 4. Let p be h(3). Let w = p - -32. Solve -d*r = -2*a - w, -a - 2*a = -r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2096, -4149, -6202, -8255?\nAnswer: -10308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 6*o + 4. Let t be y(-7). Let b be (38\/14 - 3) + t\/(-84). Suppose -2*d = 4*c - 2, -3*d = -c + 1 - 4. Which is bigger: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 - 53. Suppose 5*z - 413 + 388 = 0. Suppose z*u = -w + 4. Round u to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {h: 1, z: 3, r: 8, a: 1, l: 2, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(2\/37)*o)*o*o)\/o)\/(((o**12\/o)\/o)\/o))**(-2\/15) assuming o is positive.\nAnswer: o**(134\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65, 128, 177, 212, 233, 240, 233?\n\"Answer: -7*a**2 + 84*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7445.\nAnswer: 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -480936\/13 + 37016. Let x = 21 - w. Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let l be s*(-9)\/6*4. Let h = l - -12. Solve -2*i - 4 = -h*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 15 = -5*u, 5*u = -567950*i + 567947*i - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*c = 359 + 881. Solve -50*v + 30 = -c*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 81a?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23961 and 1.\nAnswer: 23961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y - 634220 = -174*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16800 and 14980400.\nAnswer: 629176800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -1969, -4565, -8199, -12871, -18581?\nAnswer: -25329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (0 - 3)) + (-911 - -925) - (0 - 7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156098 - 99.659895.\nAnswer: -156197.659895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 14*d - 24. Let y be p(11). Is y equal to -0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 120281 = -1196*u + 1195*u, -5*u = 3*f - 601456. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(96)\/sqrt(4))\/(sqrt(384)\/sqrt(3)).\nAnswer: -3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, i: 1, f: 10, e: 1}. What is prob of sequence el?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6286.9 - -51.6276111?\nAnswer: -6235.2723889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 + 32*f - 28.\nAnswer: -4*(f - 7)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvk when three letters picked without replacement from {k: 2, y: 4, v: 2, m: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3)*q)**(-31)\/(q**3\/q*q**(2\/13)\/q*q) assuming q is positive.\nAnswer: q**(-1696\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 + 72. Calculate the remainder when 79 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 - -67. Calculate the highest common factor of 85 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + b - 4 = 0, 4*w - 28 = -5*b - 12. Let r = w - -1. Calculate the smallest common multiple of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -31. Let v = 16 + x. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -13. Let l(t) = t. Let h(p) = p + 4. Let y(k) = 2*h(k) - 4*l(k). Let b be y(z). What is the highest common factor of b and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117131*v**3 - 52851*v?\nAnswer: 702786*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - o + 21 = 0, -3*r - 2*o - 1 + 8 = 0. Let s = r + -8. What is the units digit of (-1)\/(-1) - (1 + s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-123 + 113)*1*(-4)\/5. Let r(a) = 4*a**3 - 24*a**2 - 6*a - 17. What is the tens digit of r(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12223 (base 6) to base 16\nAnswer: -717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)*12\/8. Suppose 0 = -b*n - 3*n + 12. Suppose 0*g = -n*g + 56. What is the remainder when 82 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16140819427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 10*r = 388. Let s = r - 93. Suppose -2*j + 372 = s*j. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18928*y + y**4 + 0*y**2 - 18918*y + y**3 + 2*y**2 in the form k + s*y**4 + c*y**3 + g*y + t*y**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*t = -0*o + 18, -10 = -5*t. What is the remainder when o\/1 - (-9 + -6) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -27. Which is bigger: 2\/11 or v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 755 + -747. Let o(g) = -3*g**2 + g - 8 + g**3 - 3*g - 5*g**2 - g + 5*g. Determine o(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -2\/37 (c) -4.385\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*k + 87387 = 0, 6 = -3*k + 15. What are the prime factors of w?\nAnswer: 2, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-74)\/148)\/(((-1190)\/(-80))\/17).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3478 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 784312183 a multiple of 1962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3004 - 3004. Which is the closest to 0.1? (a) 4.8 (b) 9 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and (-4)\/(-3)*(3 + 9\/(-6)).\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 6:55 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c**3 - 2*c - 3. Let o be u(-4). Let d = -247 - -265. Let r = o - d. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 13. Suppose -f + l*s = 23, -3*s + 6 = 2*f + f. Let z(k) be the first derivative of -k**2\/2 - 6*k + 45. Determine z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 181767762 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 0)*(-75)\/(-675).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 957 - 10*t**2 + 10*t + 2*t**3 - 470 - 483 to the form m*t**3 + d*t + i*t**2 + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) + (-6)\/(-4). Let j be 4\/10 + 26\/10. Suppose j*n - 26 = -a - 4*a, -2*a = -4*n. Solve -4*g + 3*g + c - n = 0, -q*c = 2*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011011010011 + -11010?\nAnswer: 10111011010111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3311734, 3311795, 3311854, 3311911?\n\"Answer: -w**2 + 64*w + 3311671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - 12112022202?\nAnswer: -12112100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 29*x**2 - 42*x - 73. Is y(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -819. Calculate the remainder when (l\/20 + -2)*16\/(-12) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -290*l. Suppose -115*o + 92*o + 69 = 0. Let v(q) = -3 - 195*q + 94*q + 100*q + o. Calculate m(v(f)).\nAnswer: 290*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -946*n - 1561. Does 9 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 695016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*-5*(sqrt(88)*-3 + sqrt(88)))\/(sqrt(32)\/(sqrt(16)\/sqrt(4)*3)) + 1.\nAnswer: -480*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-135)*-10)\/((-4)\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 18*k**2 + 2*k + 48. Give a(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 682160753 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 22. Suppose -77*u + 300 = -62*u. Let k = u + p. Calculate the remainder when k is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-1) - (2147 - 2112)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebeebebbbebbbebedbb. What is prob of picking 1 b and 3 e?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 3:19 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45431363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1337658, -0.5, -1.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 + 9*l + 4. Let w be d(8). Calculate the highest common divisor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*x + 15 = 0, 0 = 5*w - 45*x + 42*x + 27. Let k be -8 + w\/(-1) - 388\/(-36). Is 6 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 6:02 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2992)\/(-68))\/(-44)*12\/(1*2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111964225 is divided by 372?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 1. Let j(r) = 3681*r - 326 + 321 - 3656*r. Let w(c) = 13*c - 3. What is s*w(d) - 3*j(d)?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 982 + -1682. Is (v\/15)\/((-2)\/42*2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = g - 1 + 4, -4*g + 20 = 0. Solve s = -5*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.076\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 132589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(600))\/sqrt(8))**2.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -18*y - 20. Suppose -5*v + 25 = 55. Is 8 a factor of d(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 r when four letters picked without replacement from drddddrrrrdddrrd.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 12192*a**3 - 2*a**2 + 12600*a**3.\nAnswer: 408*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52482 - 104962 + 0*c + 9*c**2 + 52474 + 0*c + 0*c.\nAnswer: 9*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 2. Let z(p) = -p**2 + 6*p - 4. Let u be z(6). Let a(k) = 6*k + 4. Let w(r) = u*a(r) - 9*n(r). Give w(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 521*w - 5681. Determine i(8).\nAnswer: -1513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 46*z - 1433. Let q(j) = -15*j + 521. Let m(d) = -4*c(d) - 11*q(d). Let x(w) = -39*w + 3. Determine 7*m(f) - 3*x(f).\nAnswer: -16*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 664565 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Suppose -5*j = -0*c - 5*c - 10, -3*j + 14 = -5*c. Let a be (1\/2)\/(j + 3). What is the third biggest value in a, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1361108842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**25)\/f*(f*f\/(f*f**4))\/f)\/(f**16)**50 assuming f is positive.\nAnswer: f**(-779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100.4 + 100. Let x = 0.49 + r. Which is the second smallest value? (a) x (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.164 + 15.\nAnswer: 14.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 3\/(-2) + 938\/140. Which is the third smallest value? (a) -2\/7 (b) 3\/8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 8*l. Let n(m) be the first derivative of 2\/9*m**3 + l*m**2 + 3 + 1\/6*m**4 + 0*m. Find d, given that n(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 + 4 - 1 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in kilograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -157\/3 and -0.22 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(352))\/sqrt(8))\/sqrt(4).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 61 + 2*u**3 + 0*u**2 - 49*u + 2*u**3 - 2*u**2 + 32*u. What is the units digit of p(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(891))*-1*-4 - (0 + -1 + sqrt(891) + -4 + 1).\nAnswer: -189*sqrt(11) - 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - v + 0*v)*(-2*v**3 + 0 + 0) + 601*v**4 + 1016*v**4 - 1235*v**4 to the form t*v**2 + k + m*v + p*v**3 + y*v**4 and give y.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 4. Let k be (-20)\/8*4\/2. Let i(j) = 7. Let o(m) = -4. Let c(u) = k*o(u) - 3*i(u). What is -3*c(d) - y(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -31 - -44 - (4 + -57).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6936?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -231, -1402, -4651, -11040, -21631, -37486, -59667, -89236?\nAnswer: -127255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2035, 1548, 1061, 574, 87?\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 40*s**3 + 0*s**2 + 0 + 0*s - 5\/2*s**4 = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b - 11*a + 7*a + 14 = -29*b, -a - 2 = 20*b - 25 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 8. Which is the smallest value? (a) s (b) 2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-21) - (-2)\/3. Suppose -2*r - 2 = -r. Sort w, r, 5 in ascending order.\nAnswer: r, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.309+57.5\nAnswer: 57.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 13 = 1. Let o be 9\/6 + j\/8. Suppose o = -7*t + 323 + 335. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*l + 33 - 2*l**3 - 25*l - 12 - 3*l**4 - 19 as z*l + x*l**2 + r*l**4 + u + g*l**3 and give z.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -171. Calculate the remainder when u is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8364 - 9136. Which is the smallest value? (a) -0.1 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 0 + sqrt(2))*5)**2.\nAnswer: 150*sqrt(2) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - j + 18, j - 1 = h + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 128*l + 1. What is the hundreds digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from qqqc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5 = 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3067 - -9856. Suppose -6*k = -y + 951. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 7*f**2 - 8*f - 9. Let w(i) = -2*i**3 + 2*i**2 - 6*i + 14. Let m be w(2). Calculate h(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29991825?\nAnswer: 3, 5, 17, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2104, -4213, -6322, -8431, -10540?\n\"Answer: -2109*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6355 and 15190?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2439?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -361*f**2 - 43*f**4 + 361*f**2 + 0*f**4 + 3*f**4 - 5*f**4 + (5*f - 4*f - 3*f)*(2*f + f**3 - 2*f) + 5*f**4 - 7*f**2 + 7*f**2.\nAnswer: -42*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 35, 4, 5, -3.\nAnswer: -3, 0, 4, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 56.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3 + (1 + 2 - 2)*(0 + 3 + 0))*(6*d - 3*d + 0*d).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54571450 or 54571449?\nAnswer: 54571449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -100010111011110100 (base 2) to base 10\nAnswer: -143092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, q: 6, z: 10}. What is prob of picking 1 i, 2 z, and 1 q?\nAnswer: 27\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*g - 42 + 729*g + 42 as s + v*g and give v.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjq when four letters picked without replacement from {q: 2, j: 3, r: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 - (-6 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 - 2*j**2 + 6*j**2)*(2*j - j + 0*j) + 0*j**3 + 0*j**3 + 2*j**3 - 4*j + 11*j - 49*j + 2*j**3.\nAnswer: 6*j**3 - 42*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*i = -437*i + 120. Calculate the greatest common divisor of 380 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.317679?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11271 and 0.\nAnswer: -11271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 41. Let c be (-6)\/(m\/6 - 66\/(-180)). What is the third derivative of c*s**2 - 1220*s + 39*s**6 + 1220*s wrt s?\nAnswer: 4680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 453230962 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 2*x + 1. Let g be a(2). Suppose 52 = 7*q + 3. Let o = g + q. Solve 0 = 7*n - 3*n + o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -7. What is the third derivative of -m**2 + 4*m**o + 20*m**5 - 20*m**5 wrt m?\nAnswer: 480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -28, 3, 7 in descending order.\nAnswer: 7, 5, 3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 147\/4? (a) 0.2 (b) -0.2 (c) 70 (d) -4 (e) 2 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.84 - 0.16. Let w = l - -8.01. Which is the closest to w? (a) -1 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 14550.\nAnswer: 14550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -17968 (base 13) to base 3\nAnswer: -2022110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*0\/(50\/5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4423*h**4 + 101*h - 2?\nAnswer: 53076*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 4, g: 8}. Give prob of picking 1 d, 1 x, and 1 g.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 - (0 - (0 + 3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2767456?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*c + 3*c**2 + 117 + 56*c.\nAnswer: 3*c**2 + 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0*t**3 + 0 - 1\/100*t**5 + 0*t**2 + 2*t + 1\/60*t**4. Factor q(u).\nAnswer: -u**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*y - 130*y + 44289 = -198*y - 117*y for y.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 36 = 4*h. Solve 2*t = 2*o - h, 3*o + 3*t + 12 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -5, -2, 38, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2. Suppose 0 = 5*p - 3*z - 6 - 16, -2*z = 4*p. Let i(h) = h + p*h**2 + 25*h - 26*h + 6. What is i(q(k))?\nAnswer: 2*k**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. What is the biggest value in -1.1, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95\/739 or -7?\nAnswer: -95\/739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 1 - 1)*(-1 + 1 + 1)*(-283*q**2 + 4871*q**2 + 73*q**2) to l*q**2 + f + t*q + b*q**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 396 = 6*o. Suppose -o = -2*p - 5*h + 18, 5*h = 2*p - 414. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*i = 8 + 4, -4*h - 16 = -5*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**2 - 11*l - 79. Is a(-18) a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001814457245 rounded to seven decimal places?\nAnswer: 0.0001814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018278 times 0.1?\nAnswer: 0.0018278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x**(-5)*x)*x)\/x)\/x*x)\/(x**(-2\/23)\/x))**(-39)\/(((x**1*x)\/(x\/x**(-2\/9)))\/(x**2)**(-16)) assuming x is positive.\nAnswer: x**(-55925\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t + 0 - 1\/5*t**5 - 1\/40*t**6 - 5\/8*t**4 - t**3 + 15*t**2. Find k such that d(k) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -5. What are the prime factors of 52\/4 + (-3)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 609 - 401. Let k = s + -200. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2814*l**6 - 2206*l**2 wrt l?\nAnswer: -337680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31481.032258 + 31481. Round x to 4 dps.\nAnswer: -0.0323","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18))\/((-42)\/(-504)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*w + 13. Calculate the least common multiple of w and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(7\/21 + (-283)\/843). Suppose 3*r - d = -o, 2*r - 6*r - 4196 = -5*o. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 - 4*s**3 - 2*s**3 + (2*s**2 + s - s)*(-1 + 1 - 2*s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + sqrt(28)\/sqrt(4))*1*-6 - (sqrt(112)*-3 + (sqrt(56)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -241 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 21791?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*l - 6*l. Suppose -2*y + 4*y = 0. Solve -2*b + g = -y*g - 4, 2*b + 3*g + 12 = l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*d - 44*d + 37 = -7*b, 8*d - 84 = 5*b for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17813 and -1485.\nAnswer: 26452305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/848 and 25\/36.\nAnswer: 7632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**6 - 9*n**4 - 875319*n**3 - 102*n**2 + 18545*n - 16 wrt n?\nAnswer: -120*n**3 - 216*n - 5251914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-132)\/(-168) + (-4)\/14. Are s and 0.053 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -3 - -3 - 29. Let v = o + 48. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 20*r + 7. Let q(v) = -7*v - 2. Let x(h) = 6*i(h) + 17*q(h). Let m be x(-6). Suppose m = -2*f + 6. Solve 5*b = 4*a + 37, f*b = -b - 5*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c - k + 21 = 21*c, 0 = 41*k - 55 - 1011 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 350*q + 2*q - 27*q as z*q + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4304326\/595341 - 1882\/261. Find the common denominator of t and -67\/2.\nAnswer: 4562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2\/3 (b) -11080 (c) 2 (d) 2\/5 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 66069 (base 10) in base 5?\nAnswer: 4103234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -603*t + 907 wrt t?\nAnswer: -603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658090 divided by -96.\nAnswer: -329045\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 1 (b) 5 (c) 2\/5 (d) -0.0146 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31.895 (b) -17 (c) 3 (d) 3\/5 (e) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2. Let g(q) = -28*q**2 + 2. Give g(x(l)).\nAnswer: -28*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -4 - -4 - (-334 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 35*p - 82. Determine t(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -225053*-6\nAnswer: 1350318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16462, -16516, -16570, -16624, -16678?\nAnswer: -16732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/129 - -391\/258. Suppose -8 = -s + 4*h, 0 = -5*s - 4*h + 3 - 35. What is the third smallest value in v, -1, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4053)\/10422*6\/(-14) - -290*(-2)\/24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3589 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8053?\nAnswer: 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/(-14) + (-927017)\/(-49)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 97622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*-1*-5.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 714\/(-952)*32\/(-6). Solve c + o = 0, 60*c - 56*c + 16 = 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:26 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/2 - 16*d - 33\/2.\nAnswer: (d - 33)*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(-9)*p*p*p\/(p\/(p**8\/p)*p*p*p)*p*p**(-8)*p**(-2\/11) assuming p is positive.\nAnswer: p**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135669.2873 - 136582.19. Let f = a + 913. What is f rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4197, -4728, -5609, -6840, -8421, -10352?\n\"Answer: -175*r**2 - 6*r - 4016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -3 - (-4)\/(-1). Let a be ((-1680)\/18)\/(m\/1575). What is a rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1634*d**2 + 3252*d**2 - 1609*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-2 - 2) - 0)*-11. Let p = z + 36. Let y(r) = -4*r - 3. Let q(o) = -3*o - 2. Calculate p*q(l) - 2*y(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3 = 4*w, 2*i = 7*i - 15. Suppose 0 = 4*s - 4, d + d - 3*s - 1 = 0. Suppose w = -r - d*m + 36, -3*r = r - 3*m - 199. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 1. Let l(r) = -157*r - 153*r + 309*r. Let v(w) = 3*l(w) + 2*x(w). What is v(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/997360 and 49\/520?\nAnswer: 997360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15772224*k. Let m(i) = -2*i. What is m(f(y))?\nAnswer: -31544448*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 19352*k**5\/5 + k**4\/8 - 7*k**3\/6 + 65*k**2. Let d be u(-3). What is d rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:44 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -16*m + 40*m**2 - 8 - 196\/5*m**5 - 70*m**4 + 4*m**3. Find l such that c(l) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 422 (base 13) to base 3\nAnswer: 222002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1837, -3706, -5633, -7624, -9685, -11822?\nAnswer: -14041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 2\/7, -4\/3, -1, 31 in decreasing order.\nAnswer: 31, 2\/7, -1, -4\/3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2523154, -2523201, -2523284, -2523403, -2523558, -2523749?\n\"Answer: -18*z**2 + 7*z - 2523143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1013*g**2 + 0 + 3 - 1039*g**2.\nAnswer: -26*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/108 and ((-10268)\/(-2520))\/(-17) - 20\/35.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 711*s + 41487. Give r(-73).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**3\/2 - 57*b**2\/2 - 423*b\/2 - 675\/2 = 0. What is b?\nAnswer: -3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k - 12 = v, 5*v + 28 = 4*k. Suppose -2*q - 2*y + 45600020 = k*y, 5*y = -4*q + 91200025. Suppose -3*w + q = w. Round w to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/8)\/((-1260)\/(-80) - 16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6346, 25423, 57220, 101731, 158950, 228871, 311488?\nAnswer: 406795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 3 - -5 - 252\/6. Let z(y) = y**2 + y + 75. Let l be z(0). Let h = l + t. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2454511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2133 + -3134220?\nAnswer: -3141403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 1 (b) 2\/7 (c) 9.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*d - 9*t - 120, -117 = -5*d + 2*t. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/((((-38)\/(-4))\/19)\/(5\/(-140)*-7)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 3 + 15*z + 21*z.\nAnswer: 36*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 204, 205, 198, 183?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.26 (b) 1\/7 (c) -0.1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q + 7 = 2*i, 2*i - 4*q - 4 = 0. Let b be 2 - 33\/12 - 162\/(-216). Let s(f) = -f + i + b*f**2 + 2*f**2 - 3*f**2 + f**3. Calculate s(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34.00000015 - 34. Round g to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11469 = 2*n + n - 4*g, 3*g = -4*n + 15292. Let m = n - 2029. Let p be (-2 - m\/(-9))*18750. What is p rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**7\/2240 + 3*a**6\/160 + 3*a**5\/16 + 7*a**4\/8 + 41*a**3\/3 - 94*a**2. Let m(i) be the first derivative of j(i). Factor m(v).\nAnswer: 3*(v + 2)**2*(v + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 103, 207, 311, 415, 519?\n\"Answer: 104*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 13. Suppose c = n - 1 + 4, 0 = -a*c + 4*n. Let j(f) = 17*f**2 - c*f**2 - 2*f**2 + 4*f**2. Let t(x) = -x**2. What is j(t(m))?\nAnswer: 13*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose b*s + 12 = 0, j + 12 = -j - 4*s. Suppose -5*r - 167 + 827 = j. Calculate the highest common factor of 33 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 118*t**2 - 3*t + 1524. What is the thousands digit of i(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7213.011mm in centimeters?\nAnswer: 721.3011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (4 + -3 + -7 + (-141 - -40)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 16) + 11 + -24?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -205, -209, -213, -217, -221, -225?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oh when two letters picked without replacement from hox.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236028 divided by 1068\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t - 22*t - 7*t + 5*t to the form z*t + x and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17654 and 1932?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - 83?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 51 + 6 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1067762 and 0.14.\nAnswer: 149486.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 16 = -12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {g: 1, p: 1, j: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l**(-15))**46 assuming l is positive.\nAnswer: l**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4 - (-5 + -3 + 9)) + 1265 is divided by 115.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*-0.322.\nAnswer: -0.4186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 7*k**2 - 7*k + 11. Let j be z(-8). Find the third derivative of 198*g**3 - 5*g - 50*g**j - 13 + 5*g + 4 + 4*g**2 wrt g.\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fovofffvoofo. Give prob of sequence off.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/33)*v*v*v**(-2\/7)\/v)\/(v**(-30))**48)**3 assuming v is positive.\nAnswer: v**(333022\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 - 84) + -1 + 54.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 6)*(-210*h + 123*h - 374*h)*(-2*h + 2 - 2) as f*h + k*h**2 + n and give k.\nAnswer: 1844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 128 in 0.1, -2, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 272 (b) 72 (c) 2\/3 (d) 4 (e) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*z - 25*z + 43*z + 27 with respect to z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/576 and (-140)\/(-315)*(-4)\/(-22).\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {w: 4, j: 5, y: 10}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 3:44 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10881034616 minus 0.9?\nAnswer: -10881034616.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3643.3, -3\/5, 0.02?\nAnswer: -3643.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.432 - -24.568. Which is the third smallest value? (a) d (b) -0.2 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -327, -640, -953?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3\/2 (b) 3 (c) -1\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 10:47 AM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 24 = 7*l - 3*l, 0 = -5*l - 3*q + 28. Let b = 2 + -3. Suppose 0 = -r + 6*r + 25. Sort l, r, b in increasing order.\nAnswer: r, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 5 = -5*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.8125228 tonnes?\nAnswer: 812522800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 710384*g**3*j**2 + 2*g**3 + 6205*g**2 - g with respect to j.\nAnswer: 1420768*g**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 30*b - 16*b - 14*b.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2 + 447964*a - 4031757 = 0.\nAnswer: -447973, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/9)\/i**(-1\/9))\/((i\/((i\/i**(-1\/5))\/i)*i)\/i*i)**(-3\/16) assuming i is positive.\nAnswer: i**(163\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -5*z**4\/12 - 3*z**3\/2 + z**2. Let r(m) = 39*m + 35. Let g(c) = 2*r(c) + 9*w(c). Is g(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from yyyiooccccciiiiyocc?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*s**3 - 32144*s**2 + 499638 wrt s?\nAnswer: 24*s**2 - 64288*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 28*w + 2. Let b be t(-1). Let d = -6 - b. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 + 33*l\/2 - 189.\nAnswer: 3*(l - 7)*(l + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence resj when four letters picked without replacement from szuuzsjjjesru?\nAnswer: 3\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (39730\/(-435))\/(0 + (-4)\/(-6))?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 6) + (-29 - (3 + -8) - 6).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 927310935 a multiple of 1115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 7*g**5 - 3*g**5 + 9 + (-2*g**4 + g**2 - g**2)*(3*g - 3*g - g) - 3*g**5 - g**5 + 0*g**5.\nAnswer: 2*g**5 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18606722 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 26*x**2 - 153*x - 63. Calculate g(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of i**2 + 6*i + 25. Determine b(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36914399.\nAnswer: 36914399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 3. Let y be -16 - (3 - 528\/28) - (-40)\/(-14). Let z(w) = 3*w - 7. Give y*z(f) - 5*n(f).\nAnswer: f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(171)*-3*1)**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 105, -32, 3, -44, 5 in descending order.\nAnswer: 105, 5, 3, -32, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3738\/45 + 8512\/9120\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**6\/40 - y**4\/2 - 24*y**2 + 2*y. Suppose t(j) = 0. Calculate j.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 + -250. Is 3 a factor of (-20)\/l*(-246)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 24 = 4*n. Suppose -12 = -n*i + 540. Suppose 5*w - 173 = -4*r + 31, w = -5*r + i. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 28575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 15. Let b(u) = -4*u - 44. Let i(r) = -3*b(r) + 8*v(r). Determine i(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 5*n**2 - 2*n**2)*(-538*n**2 - 820*n**2 - 307*n**2 + 386*n**2).\nAnswer: -1279*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 35*h**3 - 155*h**2 - 41*h - 111. Is p(26) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8362.62ml in litres?\nAnswer: 8.36262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**4\/24 - 35*q**3\/6 + 42*q**2 - 2. Let x(v) = 5*v. What is x(p(f))?\nAnswer: -5*f - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - 38*x + 11*x - 3*x**2 + 9 - 3*x**3 + 2*x**3 + 16*x. Determine l(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7439 + -4.2561. Which is the closest to -20? (a) 0.4 (b) 4\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/s)\/s**(3\/4)*(s\/s**(-1\/3))**(-2\/19) assuming s is positive.\nAnswer: s**(-1115\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903 + 820 + 55*t**2 + 2*t**3 - 1723.\nAnswer: 2*t**3 + 55*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*u = 82*u - 217. Is (u\/2 + -2)*(-396)\/77 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27007186.\nAnswer: 2, 17, 683, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6835.\nAnswer: 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 3. Let j(f) = -352*f + 2131. Let b(w) = -j(w) + 5*x(w). Differentiate b(z) wrt z.\nAnswer: 337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55 + 225\/4. Let r = 23\/12 - f. Let u = 0.15 - 0.24. Which is the closest to -1? (a) r (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 - 4*l. Let g be s(-3). Let y(k) = k + 8. Let w be y(g). Suppose -5*h - 4*n + 34 = -2*n, -2*n + 10 = w*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pypp when four letters picked without replacement from {p: 4, y: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 782, 1505, 2216, 2909, 3578?\nAnswer: 4217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzlzyyzzzyyycyzy. Give prob of picking 2 z.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + sqrt(98) + 6*(sqrt(98) + 2 - sqrt(98)) - ((-3*(sqrt(98) + -1)**2 - sqrt(98)) + sqrt(98) + ((2 + -1 + sqrt(98))**2 - sqrt(98)))).\nAnswer: -42*sqrt(2) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 101101100111110010 (base 2) in base 11?\nAnswer: 118439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 8*i - 4. Let s be x(5). Is (s\/2)\/(3\/18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18326826 divided by -2036314?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 182 + -321. Let j = h + 153. What is the highest common divisor of 224 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8006292 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17971586 is divided by 3178.\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 55*v. Let c(t) = t**2. Calculate r(c(z)).\nAnswer: 55*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/5 (b) -0.18 (c) -1 (d) -1131 (e) 2 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 6*k**2 + 3*k + 6. Let h be o(5). Let c be (10\/(-40))\/((-1)\/(-12)). Is h > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*1*-5)\/(1*sqrt(588) - sqrt(12)))**2 - ((sqrt(2) + -2)*-1 + 2*sqrt(2)*-3).\nAnswer: -11\/18 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109548337.\nAnswer: 101, 1084637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - k. Let u(i) be the first derivative of -4*i**3\/3 - i**2 + i - 16. Let p be 6\/4*(-4)\/(-6). Determine p*u(d) - 2*l(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*v**2 - 296660 + 593329 - 296659 - 29*v**2 + 4*v**3.\nAnswer: 4*v**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-140))\/((-8)\/(-20))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139046950?\nAnswer: 2, 5, 7, 43, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2776579*h**2 + 1155270*h - 1?\nAnswer: 5553158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21.07 + 20.87. What is the second smallest value in b, -6, 3\/2, 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5133025ms to minutes.\nAnswer: 0.000041888375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*5\/(-40)*6\/(-14).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -291, 0.1, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 5*l - 3. Let i be k(-2). Let x = 2 + i. Suppose -5*a = -3*w - 3 + 14, x*a - 1 = -3*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from mhnld.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 11) to base 10\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 7 = -4*n, -45*f - 3 = -42*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 224407 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xwnxqwanwnxaxxwqn. Give prob of picking 1 w and 1 n.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -47255?\nAnswer: -47254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.16 - -0.71. Let a = 0.5499946 - n. Round a to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 59, 64, 57, 32, -17?\n\"Answer: -k**3 + 12*k + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 + 2*q**2 + 2*q + 1. Let g = 9 + -10. What is d(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105, 219, 347, 495, 669, 875?\n\"Answer: r**3 + r**2 + 104*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -30. Let r(o) = 41*o**2 - o. Let p be r(1). Let u = -36 + p. Calculate the remainder when q is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x + 12. Let p be t(4). Suppose -18*l + 472 - 112 = 0. Calculate the greatest common divisor of l and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 6*i + 19*i - 6*i in the form g + q*i and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-350)\/(-4) - 1\/2. Let a = q - 213. Let n = 221 - a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116062 is divided by 980.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.81*-307.\nAnswer: 4853.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 6*f + 1. Let m be t(-6). Let n = -5 - -9. Let g = n - m. Is g greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*g + 2*g. Find the second derivative of 7*v**g + v + 2*v - 12*v**4 - 5*v wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26487130 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + -4)*(-1)\/(-3). Let j(m) = 2*m**2 - 5*m. Let t(i) = -4*i**2 + 10*i - 1. Let v(d) = 5*j(d) + 2*t(d). What are the prime factors of v(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34927093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/325 - 11331\/7150. Find the common denominator of -13\/10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - 45. Let q be s(-8). Let c be ((-3)\/(-1))\/(q + -10). Solve -c*t - 2 = -4*d + 7, 4*t + 5 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2977 - 2918. Solve 0 = -7*g - o + 73 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 37 = -38*q + 75. Factor 87\/5*t**q - 135 - 117*t - 3\/5*t**3.\nAnswer: -3*(t - 15)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 46. Let h be 1 + -5 + 1 + (-280)\/w. Find g such that -4\/3 + 28\/3*g + 58\/3*g**3 - 25\/3*g**4 - h*g**2 + 4\/3*g**5 = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 292*m - 26. What is the units digit of f(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-9))\/((-8)\/(-40) - 2\/(-15)). Let o(c) = 6*c**3 + 3*c**2 - 5*c + 3. Give o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*x + 9 = 444*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 0*j**2 + 23 + 17\/3*j**3 + 0*j + 0*j**4 + 0*j**5 - 37\/6*j**6. What is the third derivative of y(u) wrt u?\nAnswer: -2220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -59215401.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/12 + 16\/(-30). Let w = -309.1 + 309.2. What is the third biggest value in w, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4732 and -97\/437866?\nAnswer: 79691612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -17*c**3 + 6*c**2 - 5*c - 5. Let u(j) = 8*j**3 - 4*j**2 + 3*j + 3. Let t(f) = 3*n(f) + 5*u(f). Factor t(q).\nAnswer: -q**2*(11*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -18. Suppose -22 = -3*r + 5. Calculate the remainder when r is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0172656g?\nAnswer: 17.2656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-72))\/((-6)\/(-18))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 - 24. Let i = 18258681.55000062 - 18258655.55. Let l = z - i. What is l rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 43*s - 19)*(6*s - 3*s - 4*s) + (-4*s + s + 4*s)*(-1 + 1 - 2*s) + (-s**2 - 4*s**2 + 0*s**2)*(-2 + 1 + 4) as g*s + a + o*s**2 and give o.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 8*k**5\/5 + 10*k**4 + 46*k**3\/5 - 26*k**2\/5 - 6*k = 0?\nAnswer: -5, -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2*r + 4966 = 4959, -29 = 4*a - 5*r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, i: 3, v: 5}. What is prob of picking 2 v and 1 a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -7, -0.1, 418, 0.11, 0.3, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 (base 11) in base 7?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 0*d**2 - d**2 as l*d + q*d**2 + u and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/27 + 24\/270?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108249577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 3. What is the lowest common multiple of x(2) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2080*u = 2088*u - 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 3\/(3\/(-2)). Suppose 0 = 5*a - 64 - 51. Suppose -4*r = a - 7. What is the third biggest value in 2, r, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81 - 45) + (6 - 6) + 21.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 131*j**3 + 245 wrt j?\nAnswer: 393*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 147, 229, 351, 513?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 27*z - 46. Let w(m) be the first derivative of 2*m**3\/3 - 14*m**2 + 48*m - 80. Let y(t) = -6*q(t) - 5*w(t). Factor y(i).\nAnswer: 2*(i - 9)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by -48.\nAnswer: 37\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/45 + 36\/10. Suppose -k + 3*k = r. Suppose k*y = y + 1299. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 5:04 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (616\/385)\/(3*(-12)\/(-63))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -540*x + 99. Let p(h) = 11*h - 2. Determine 2*f(d) + 99*p(d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15491 is divided by 1093?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -g + 11893, 45*t - 40*t + 35624 = 3*g. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 795, 1719, 2997, 4629, 6615, 8955?\nAnswer: 11649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 10:59 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 + 6*p - 4. Let z be k(-7). Suppose 4*x = -2*r - 0*r + 38, -5*r = -5. What is the highest common factor of x and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 12\/7*q**2 - 216\/7 + 108\/7*q**3 - 316\/7*q - 4\/7*q**4 = 0.\nAnswer: -1, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/195)\/(22\/10)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/243? (a) -5\/8 (b) -3\/2 (c) -2 (d) 0.22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 28393.41mg?\nAnswer: 0.00002839341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -325.4 - -363. Let f = 38 - t. Let v be (-14)\/(-49) - 9\/105. Which is the third biggest value? (a) f (b) v (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4385, 193 in descending order.\nAnswer: 193, -5, -4385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4149*a + 1497*a + 5200*a - 2171*a + 3821*a in the form h + m*a and give m.\nAnswer: 12496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961531 is divided by 961519?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -162.4. Let o = h - -55. Which is the fourth biggest value? (a) -0.2 (b) -3 (c) 0 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 5*k - 4*k)*(-1 + 3 - 3) - 2*k + k + 2*k - 96*k + 3350 - 3338 - 117*k - 11*k.\nAnswer: -225*k + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 - 96. Calculate the remainder when 50 is divided by (-186)\/(-14) - (a + (-36)\/(-28)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -34, 3 in descending order.\nAnswer: 8, 3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4971, -5270, -5769, -6468?\n\"Answer: -100*v**2 + v - 4872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -213, -2, 2, 5 in descending order.\nAnswer: 5, 2, -2, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/5 (b) 0.3 (c) 1\/4 (d) 12 (e) -636\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 9*r**5\/4 - r**3\/3 + r**2\/2 + 3125*r. What is u(1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.41 + 0.39. Round z to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*j + 326, -j = -3*p - 173 + 658. Is (p - 6\/2)*(1 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 595 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32348806?\nAnswer: 2, 7, 67, 34487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 249763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3636, 2, 4 in decreasing order.\nAnswer: 3636, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 114. Let g be 2\/9 - (-192)\/b. Which is smaller: 3\/2 or g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/3)\/((-4)\/3062). Suppose v = 14*f - 11199. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1120 + 3391\/3. Let g = 11 - w. Factor 0 + 5\/3*d**3 + g*d - 7\/3*d**2.\nAnswer: d*(d - 1)*(5*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*a**3 + 86*a**3 + 62*a**3 - 299*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3062 + 5293. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351*c - 34*t = 1346*c + 150, 0 = -5*c + 3*t - 5 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 189 (b) 2\/3 (c) 3.8 (d) -1\/2 (e) -2\/5 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 12.155. Let h = k + -0.154999821. Round h to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 1. Let v(q) = -2*q**2 + 1. Let x(y) = 33 - 27 - 2*y**3 + 0*y**3 - 20*y**2 - 15 + 11*y - 3*y**2. Let z be x(-12). What is z*v(n) - 3*b(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(((g*g**(-5\/8)*g)\/g)\/g))\/g)\/(g\/(g**(-1)*g))*g**(-14)*g*g*g**16)**14 assuming g is positive.\nAnswer: g**(259\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 172, 363, 630, 973?\nAnswer: 1392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -12. Suppose l + 18 = 4*d. Suppose f = -f + d. Is 2 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*t**3 - 68*t**3 + 180*t**2 + 68354*t + 4*t**4 - 68554*t = 0. Calculate t.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 12. Find the second derivative of -v + v**4 + 2*v - 2*v**f wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36317, 145248, 326799, 580970, 907761, 1307172?\nAnswer: 1779203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3300 - -1?\nAnswer: 3301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (26 - 1) + 2. Suppose 2*u - a = -8. Calculate the remainder when 17 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 69. Let t = 42 + -40. Suppose 0 = -2*y + 5*m - 15, -4 = -t*y - 2*m + 2. Is i(y) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1070045 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1592 and 1\/741 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896 or 894?\nAnswer: 894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -140*a + 135*a + 1215. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 - 367*h + 10. Let i(a) = -2*a + 2. Give 5*i(f) - y(f).\nAnswer: -2*f**2 + 357*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -260 (b) -12.361 (c) 1 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -7, -4, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, a: 1, q: 1, z: 2, x: 1}. Give prob of picking 1 q and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*l - 3. Let w = -6 + 8. Let j(m) = -w*m + 3*m + l*m. Let h(z) = -z. Calculate h(j(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35471487 divided by 2?\nAnswer: -35471487\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:14 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h**(-1\/6)*(h**0)**(20\/9))**(14\/3) assuming h is positive.\nAnswer: h**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*n + 17*n - 5*n + 17*n to the form y*n + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14008 + 13998.909. Round x to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*2\/4*-6. Let q be ((g\/(-4))\/(-1))\/(297\/88). What is the fourth biggest value in q, -2, -0.3, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91975 and 134425.\nAnswer: 1747525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(500) + (1*sqrt(500) + -3)**2 + sqrt(500) - 2*2*sqrt(500)))*-4.\nAnswer: -1280*sqrt(5) + 8128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 - 72. Let z = d + 14. Let g = z - 155.000159. What is g rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4\/((3\/60)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 85*v**2 + 131*v + 2861. What is k(83)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99484 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1. Suppose -12*z + 5*y + 20 = -8*z, -4*z + 20 = 5*y. Let q(v) = v**2 - 4. What is z*q(k) - 20*g(k)?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 164360000 to the nearest 1000000.\nAnswer: 164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*g - 356 = -80*g + 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.11 - 0.11. Let t be (-2)\/(-2) + (-4)\/5. Let z = 0.15713 + 4.84287. What is the fourth biggest value in z, t, n, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 3, e: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 56, 88, 144, 230, 352, 516?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 m, and 1 j when four letters picked without replacement from fmjjz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 2, b: 1, q: 2, f: 1, s: 1}. What is prob of sequence slqf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 437*b - 101*b + 32*b + (2 - 4 + 0)*(0*b - 2*b + 3*b + (-b + 4*b - 5*b)*(4 - 4 - 2) - 3*b - 2*b + 4*b).\nAnswer: 360*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 38.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*j + m + 27, 0 = -2*j - m + 10. Suppose 36 = -j*h + 7*h. Solve 4*c - 8 = 5*t + h, -5*c - t - 15 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5507 is divided by 501.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 4:16 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 454898 and 26315.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 77*t + 210. What is c(-3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 + 4582.3\nAnswer: 4582.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 17 = -z, -3*l - 6 = -l. Let g be (-6)\/(-4)*z\/(-24). Which is the closest to 0.1? (a) 0.01 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - d**2 + 2*d. Let c(q) = -15*q**3 + 5*q**2 - 108*q. Let v(m) = -10*b(m) - 2*c(m). What is the second derivative of v(w) wrt w?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1*-1*(-15)\/15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1279*q + 76713. Give j(-60).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*r*u + 2795*f**4*r + f**3*u - 12*f**2*r + 5*f**2 + f*r*u - 92*r*u - r wrt f.\nAnswer: -48*f*r*u + 67080*f*r + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2301 = -3*a + 2299, 3*r + 4*a - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -15*l + 8. Suppose 85 = l*g - 145. Suppose g - 295 = -4*q. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:12 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 5*d - 8 = 0, -2*n + n + 5*d - 17 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*t + 11, 4*t - 12 + 0 = -4*g. Let m(l) = -l - 3. Give m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*z + 902 + 8 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10640 is divided by 4644.\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209425310 to the nearest integer?\nAnswer: 14472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003368 to four dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + -100?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 10*w**2 - 10*w - 14. What is f(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 968 = -4*w, 0 = 5*c + 5*w - 2415. Let b = -233 + c. List the prime factors of 3*b*1\/9.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j + 1 + 0 - 1.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7085333 or 0.2?\nAnswer: 7085333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/15 - 14*s**4 - 6422*s**3\/15 - 20594*s**2\/5 - 185024*s\/15 = 0. Calculate s.\nAnswer: -59, -32, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8*r = 39 - 12, -r - 6 = 2*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-7) + 1 - 16\/448*-8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -69. Solve -4*x - 7 - l = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -327690*q**4 + 163844*q**4 + 1 - 2*q**2 + 3 + 15*q + 163849*q**4 + q**3 to the form m*q + v*q**3 + k*q**2 + c*q**4 + l and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 29540 and -1.\nAnswer: -29540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 - -6 - (65 + -3)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 907691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 582*y**2 - 19273*y + 48. What is b(33)?\nAnswer: -2163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/21*18*224\/(-240)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 10*l - 6. Let x = -4 - -6. Let d be (-1)\/2*7*x. Is g(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1923774 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -181*g**2 + 4*g - 4. Let t(s) = -7965*s**2 + 177*s - 177. Determine 177*m(u) - 4*t(u).\nAnswer: -177*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 40*x - 149 + 34*x - 8*x - 188 + 21*x. Give c(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m. Let x be p(-9). Let t = x + -26. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2876909342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a**2 - 351*a + 1480. Determine c(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.537789g?\nAnswer: 0.000537789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4329042.9 - 1.4.\nAnswer: -4329044.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21570 and 40.\nAnswer: 86280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 3:46 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6790953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i - 2*i - i + (i - 3 + 3)*(0 + 3 - 4) + 26 - 75 + 49 + 21908*i + 190707*i to h + g*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2635760 + -5?\nAnswer: -2635765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 9 - 3 = 0. Suppose v - m*v = -30. Solve 5 = -2*x + v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnfnnnnnnnnnfnnnnn. Give prob of sequence nfn.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 d when four letters picked without replacement from iiiiiiiiiiiiidiiidi.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (101 - (19 - -38) - ((2 - 15) + -1))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2011 - 2008. Let a(z) = -z. Let d(b) = b**2. Calculate n*a(h) + d(h).\nAnswer: h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134 + 140. What is the second smallest value in -3, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8*15 + (-1713)\/2284. Solve 3*o - 5*k = 8, s*o + k = -42 + 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 18 = -5*l, 4*l - 2*a - a + 13 = 0. What is the units digit of -1 + 4 - (2 + l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/156*-3 + (-4510)\/5720)*(-35)\/3\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1172493 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3491 + 111805\/32. What is the common denominator of -41\/6 and l?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000448513 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:39 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*s + 14. Let j be (s + -6)*(-1)\/2. Solve 2*i = -4*t + 10, 5*i - j*t = 16 + 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9520 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21495, 21731, 21965, 22197, 22427, 22655, 22881?\n\"Answer: -f**2 + 239*f + 21257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -198*c + 191*c - 21. Let q(j) = -2*j**2 + 2*j - 1. Give q(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -15*i**3 + 1. Let j be (-3)\/(-2)*10\/75*-5. What is t(j)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 8 - 6)*(-27 + 52 + 8) + (-1 - 3 + 2)*(3 + 1 - 5))*(-3*g - 3*g + 3*g) + ((0 + 4 - 2)*(5 + 0 - 2) + 0 + 4 - 1)*(4*g - 3*g - 3*g).\nAnswer: 867*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -2*d + 116. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156.8 + 157.2. What is the closest to -0.06 in w, 0.3, 0.02, -5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.11 and 62?\nAnswer: 6.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 5*q**8\/336 - 17*q**7\/42 + 43*q**6\/24 + 241*q**5\/12 + 175*q**4\/3 + 250*q**3\/3 - 70*q**2 - 1. Suppose p(n) = 0. What is n?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (6 - 1) + (-17 - -11)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26387 - 8196. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00127365541 to 5 decimal places.\nAnswer: -0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**4\/y*y))\/y**7*(y**(-6)*y*y*y)\/(y\/y**(2\/3)*y*y))**(-50) assuming y is positive.\nAnswer: y**(2300\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*m - 8 = 0. Let n(z) = -5*z**2 + z**2 + 3*z**m. Let h(t) be the third derivative of -t**5\/4 + 9*t**2. Calculate h(n(a)).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*i + 16137 - 18471 = 0. Factor i - 7\/2*b + 1\/2*b**2.\nAnswer: (b - 4)*(b - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1122, 1, -7, -1\/2 in descending order.\nAnswer: 1, -1\/2, -7, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 239, 310304, -4 in descending order.\nAnswer: 310304, 239, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i - 9*i - 14*i - 14*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 9*h**3 - 227*h**2 + 46*h + 107. Let g be z(25). Solve 3*r + g = n - 7, -22 = 3*r - 5*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from {b: 5, h: 2, a: 3, g: 1, v: 1}?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2.5. Let m = -16.27 - -11.4. Let x = m - 0.13. Which is the third smallest value? (a) x (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 463.5 and -560220.\nAnswer: -559756.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -1*5\/1. Let s be (j + (-6)\/(-9))*-12. Let b = -86 + 126. Calculate the highest common divisor of b and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-24)*2*3.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1286\/37 - -301955\/296. Let d = 1049 - m. Find the common denominator of d and 5\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -271500 - 115\nAnswer: -271615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55800 less than -1.1?\nAnswer: -55801.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -14*g + 90. Suppose -54 = -3*k + g. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2, 3, 43295 in descending order.\nAnswer: 43295, 3, 2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18111405 a multiple of 393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (217 - 190) + (1 - 12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -5, 0.01.\nAnswer: -5, 0.01, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -9*s + 155. Let h be b(17). Let q = -9 + 14. What is the second biggest value in h, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-266)\/(-57)*6\/(-4). What is the tens digit of (2 + g)\/((-92)\/(-48) + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 20*b**2 + 861*b + 1217. What is w(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028345101 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5 + 9. Let g(u) = -u + 3. Let v be g(q). Let d = v - 3. Calculate the highest common divisor of d and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 10:00 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from aqkys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 357*x + 353. Let g(l) = -2*l - 2. Let v(r) = 3*g(r) + z(r). Find the first derivative of v(c) wrt c.\nAnswer: 351","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (79*z**2 - 37*z**2 + 11*z - 37*z**2)*(-3*z + z + 1 + 3) in the form f + q*z + c*z**2 + y*z**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -2\/21*p**3 + 3\/2*p**2 + 1\/210*p**5 - 2*p - 1\/84*p**4 + 0. Let d(k) be the first derivative of x(k). Factor d(s).\nAnswer: 2*(s - 2)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29204557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -281*u**2 + 154*u**3 - 55*u**3 - 63*u**3 - 40*u**3 to d*u**2 + p + o*u**3 + w*u and give d.\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2324 = 140*s - 154*s. Solve 11*h - s = -133 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1420.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-908)\/2270)\/(53\/(-5))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3250*v - 191545. Give p(-59).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u - 9. Suppose 3*r - 23 = -0*s + s, 0 = -2*r + 2*s + 22. Let x(o) = -9 + 1 - 958811*o + 958803*o. Calculate r*m(z) - 7*x(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1414314 and 1122?\nAnswer: 24043338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -72*n**2 - 59*n - 149*n + 18 + 283*n + 15*n**3 = 0.\nAnswer: -1\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 111. Let v = -42 - y. Solve 3 = -v*t - 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 85 - 115 = 0. Suppose -17 = -3*c + 5*d, -2*c - 2*d + 16 = -3*d. Suppose -4*u + c*u - w = 0. Calculate the remainder when 22 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 30 = -3*j. Let i = j - 1. Let w = i - -13. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3625572)\/100854 - (-37 - -1)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2264 - 0.2263323. What is n rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4476631433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 8 - 14)*((4*b**2 + 0*b**2 - b**2)*(4*b**2 - 6*b**2 + 4*b**2) + 4*b**4 - 2*b**4 - 4*b**4).\nAnswer: -52*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*o - 5*u, 5*o + 0*u - u + 24 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-16))\/((-1)\/4). Let h(y) = -142*y + 142*y + 2*y**k. Let t(v) = -5*v. Calculate h(t(c)).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = q + 4*h, -3*q + 4*h - h + 18 = 0. Suppose -3*v = -1 - q, -3 = -4*n - 3*v. Let m be (-2)\/(-11) + 585\/(-2310). Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + 1. Let x = 6 + 3. Let h = x + -8.7. What is the smallest value in -0.3, c, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 - h. Let o(c) = -3. Let n(z) = -f(z) - o(z). Calculate the remainder when n(-3) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -2. Let f(p) be the third derivative of 0*p + 0*p**3 + 0*p**4 + p**2 + 0*p**s - 1\/180*p**6 + 0 + 1\/315*p**7. Find j such that f(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -215 - 28*r + 25 + 103*r - 70. List the prime factors of l(14).\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 3. Let d be o(2). Let x(k) be the third derivative of 3*k**2 + 0 + 1\/3*k**4 + 1\/60*k**5 + 0*k + 7\/6*k**3. Calculate x(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*p - 51. Let z(f) = -f + 14. Let g(v) = -v + 18. Let d(j) = -2*g(j) + 3*z(j). What is the units digit of d(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 29*o**2 - 4*o + 1. Let f be w(1). Suppose 0 = 5*i + q - 40, f + 26 = 3*i - 5*q. Calculate the remainder when 34 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 2. Let z = q + 6. Let i = -138 - -138. Sort z, i, -1 in ascending order.\nAnswer: -1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162131 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111110100 + 1?\nAnswer: -1100111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 - 4*a - 2. What is w(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428738 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 396\/14*(14\/(-10))\/((-80)\/400). Solve 39*s - 3 + f = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -292460*b - 1754768. Give o(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1148, -4509, -10110, -17951, -28032, -40353, -54914?\n\"Answer: -1120*n**2 - n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5072795 litres?\nAnswer: 507.2795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -13*p**3 + 2*p**2 - 23*p + 28. Give u(2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25071 is divided by 91.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (51\/(-6) - -9)*20. Calculate the greatest common divisor of 265 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.2 - 19. Let h = v + -1.3. Is h > -0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.53 - -1.23. Let m = -327 + 327.2. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 + 69. Let h be w - 2\/6 - (-310)\/93. Solve 3*g - 4*g = h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5 - 7. Let b be (-4)\/(-3)*s\/(-4). Suppose w - 11 = -2*q + 9, -3*w = -b*q + 4. Calculate the remainder when q is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 14*r**2 - r - 10. Let o be f(-4). Suppose o = -t + 221. Solve -1 - 8 = -t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2104.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3945872 divided by -16\nAnswer: -246617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 10.7784.\nAnswer: 10.9784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 119954 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/19*x**3 + 0 - 2\/19*x + 8\/19*x**4 - 2\/19*x**5 + 8\/19*x**2.\nAnswer: -2*x*(x - 1)**4\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 - -121. Let c = 9 + -5. Sort z, c, -17 in descending order.\nAnswer: c, z, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 1458?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12451, 12452, 12453?\n\"Answer: x + 12450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -14\/9, 12, 1\/6, -1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 422554.\nAnswer: 2, 11, 19207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -84*u**5\/5 + 7*u**2 + u + 17. Find the second derivative of j(p) wrt p.\nAnswer: -1008*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48*a + 91 + 23 + 30 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/8 + 21291*s\/4 - 42581\/8.\nAnswer: -(s - 42581)*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5231 + 5238. Let o = 105 + -28. What is the greatest common divisor of o and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 5*m**2 + 11*m - 1. Let v = 14 + -33. Let f = v + 11. Is n(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27.61, -56779, -5.\nAnswer: -56779, -27.61, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*k - 338*k + 10208 = -20110 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 45 = -201. Let w be -3 + j\/13 - 4296\/26910. Is -1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1532*q - 304. What are the prime factors of n(7)?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(245\/21))\/((-7)\/5).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 - 4*y**2 + 2*y + 1. Let x(w) = -w + 11. Let l be x(9). What is the tens digit of n(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f + 3. Let v(n) = -n - 12. Let m be v(-4). Let b(r) = -11*r - 5. What is m*a(j) - 5*b(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 1.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4, 887, -3.824.\nAnswer: -4, -3.824, -0.3, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101320 - -42?\nAnswer: 101412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6025 = 14*c - 9*c + 5*t, -4*c = -2*t - 4790. Is c at most as big as 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*sqrt(12).\nAnswer: -8*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -12. Let y = -6 - -6. Suppose -i - 5*q + 10 = -7, 3*q = y. Calculate the remainder when i is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1 - 103*u + 53*u + 29*u**2 + 50*u. Let h be m(-1). Suppose 3*g = 30 - h. Solve -2*l = 2*n - g*n + 4, -4*n - 32 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 take away 4029?\nAnswer: -2815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 0 - (-4 + -4). Suppose z*k - 3*k - 149 = 4*n, 5*k = -5*n + 260. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48854*f - 446449.\nAnswer: -48854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -62, -182, -378, -656, -1022?\n\"Answer: -v**3 - 29*v**2 + 44*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*q**3 + 5490*q**2 - 1399115*q + 1.\nAnswer: -120*q + 10980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -496*u - 460. Calculate o(0).\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 5. What is u(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 4*k**2 + 6*k**2. Let m(b) be the second derivative of 5\/6*b**3 + 2*b + 0*b**2 + 0. Determine z(m(n)).\nAnswer: 325*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/30 - a**2. Let o be (-22)\/(-2) - (-1)\/1. Let h(q) = 2*q**2 + 12 - o. Calculate h(c(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + (sqrt(17) - sqrt(425)) + 1 + sqrt(425) + -4 + -1 + -1 + 3)**2.\nAnswer: -4*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 342 + 36 = 0. Suppose -58*r = -a*r - 104. What is the remainder when r is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*b**3 + 891*b**3 - 2723*b**3 + 930*b**3.\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/3288 and -133\/44031252.\nAnswer: 88062504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 592397 = 592399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(19) - (sqrt(19) + -3 + sqrt(19)*2 + sqrt(19)))*1.\nAnswer: -9 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*x = 383 - 1203. Let r(j) = 4*j**3 + 20*j**2 - 20*j - 20. Let q(g) = -g**2 + g + 1. Calculate x*q(i) + r(i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 15. Suppose k - 3*s = 0, 5*s + 15 + 5 = 5*k. Let x be z(k). Let p(d) = -33*d + 61*d - 26*d + x. Determine p(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 6\/41, 0.5 in increasing order.\nAnswer: -94, 6\/41, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -2432552 - 1167448. What is r rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14281, -14275, -14265, -14251?\n\"Answer: 2*o**2 - 14283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 19 = -5*t, 5*l + 40 = 3*t + 2*t. Suppose -3*b - 58 = -157. Let p be (-15)\/(-12) + b\/12. Solve 0*y - 5*y = t*r - 10, 0 = -4*r - p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*l**3 - 1719*l**2 + 1719*l**2.\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.799 + -2.201. What is the closest to -1 in 5, 0.2, -22, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789603147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971364561?\nAnswer: 3, 71, 193, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4879440107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - -15 - (252 - 226)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 60 = -3*i + 88 - 37, -11*x + 0*i + i + 127 = 0 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*i**2*u**2 + 3*i**2*u - 474060*i**2 - 4882*i*u**2 - 517*u**2 wrt i?\nAnswer: -10*u**2 + 6*u - 948120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -4531.\nAnswer: -90620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 55*x**2 - 70*x - 33. What is the hundreds digit of z(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-5))\/((-2)\/(-10)). Suppose -6*q + q = -15. Let g = 6 - q. Solve -2*n - k = 3*m, 3*n + 4 = -g*m - 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 15 = 3*r. Calculate the highest common factor of 814 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 + -155. Suppose -h*j + 13495 = -374. Calculate the greatest common divisor of 67 and j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (-22 - -6 - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 + -74. Let d be (-1791)\/36 + (-9)\/w. Let k = d - -55. Solve 7*l - 4*l - k = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94 + -154. What are the prime factors of (104\/(-5))\/((-6)\/q*-1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1868179414207\/184346580 - 1\/5586260. Let p = -10133 - r. What is the common denominator of -2\/15 and p?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4515.1 - -4515. Put -3, d, -2\/5, -4\/41, 0 in descending order.\nAnswer: 0, -4\/41, d, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/12 (b) -1 (c) 1\/9 (d) 2\/7 (e) 52 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 = 2*j, -3*v + 4 = 4*j + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 53222, 5, -30 in ascending order.\nAnswer: -30, 5, 53222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**(1\/13) assuming f is positive.\nAnswer: f**(-2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/20 + 9*i**4\/4 + 23*i**3\/6 - 19*i**2 + 47*i. Let r be o(-26). Solve 37*h = r*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3552 divided by 12\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Let u(t) = 86*t - 36. Let r(c) = -4902*c + 2064. Let f(g) = 3*r(g) + 172*u(g). Give z(f(s)).\nAnswer: 7396*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_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 r = -0.3 + 0.3. Let m = 1.4 - 2.4. Which is the closest to -2\/3? (a) m (b) -3\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + z**2 + 16*z - 13. Let u be k(-4). Let w = -2 - -2.1. Let q = 0.1 + w. Which is the closest to -1? (a) u (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 181, -1, 5, 158 in descending order.\nAnswer: 181, 158, 5, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 51444*a - 35753589. Determine y(695).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 34*t**2 - 29*t + 78. Is u(35) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b + 3*h + 56, 1366 = 5*b + 3*h + 1397 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -446, 645, 3264, 7411, 13086?\nAnswer: 20289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 - 75 = -8*h. Solve -14*n + 25 = -h*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 518, -1.6, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -r - 13, -r - 3*y - 8 + 25 = 0. Let 0 + 3*v**r - 6\/5*v - 9\/5*v**3 - 3\/5*v**4 + 3\/5*v**5 = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*b - 432 - 557 = -97 + 603 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*c + 1425931 = 1424307 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 + 11134*g**2 - 15490176*g - 15501312 = 0. What is g?\nAnswer: -1, 2784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1598\/1651 (b) -2 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + 5 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -16384020*p. Let k(f) = 8*f**2. Give k(q(m)).\nAnswer: 2147488890883200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1109 + -625a6?\nAnswer: -61498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228970579.972 - -228981480.0320013. Let x = 10897.96 - d. Let a = x + 2.1. What is a rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/117 and -149\/234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-192 - 69 - 194)*(2*r**4 - 6*r**4 + 2*r**4) to v*r**3 + l + p*r**2 + x*r**4 + b*r and give x.\nAnswer: 910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 109592 and 44.\nAnswer: 1205512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8608 + -8607.99975682. Round t to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(1\/((-4)\/6)). Let h = 1 - -1. Let d be 3\/(h\/(-5) - -1). What is the nearest to 0 in i, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 1. Let h(k) = 24*k**2 + 15. Let g = 1519 + -1520. What is g*h(x) - 15*w(x)?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*2.263822.\nAnswer: 0.6791466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 835171634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 3*c = -16*n - 387, -2*n = -2*c - 196. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 141*p**2 + 2*p + 1. Let x(v) = v + 3. Determine x(b(w)).\nAnswer: 141*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -6, -8.\nAnswer: -8, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -1 + 39. Let n = 230510940 + -18510940. Suppose -y*z + n = -24*z. What is z rounded to the nearest 1000000?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 1 s when three letters picked without replacement from {s: 3, x: 3, g: 7}.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 23301.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 17*z**2 - 2*z + 24. Let n be c(-11). Which is greater: -3345 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6090117 and -36\/1253?\nAnswer: 42630819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*d**2*j**3 - d*h**2*j**3 + 9*d*h**2 + 83*h**2*j**3 + h*j**3 - j**2 wrt d?\nAnswer: 20*d*j**3 - h**2*j**3 + 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4)\/(-16)*18782 + (-2)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/4*240\/21. Suppose d = g - 11*g. Let h(b) = b**3 + 4*b**2 - 2*b + 2. Calculate h(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**3\/3 + 5*l**2\/2 + l + 9. Let b be d(-6). Calculate the greatest common divisor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 12*f**2 + 2*f + 24. Suppose -s = -5*s + d - 43, -3*d = s + 27. Let j be b(s). Factor 18\/5*v**2 + 34\/15*v**4 + 6*v**3 + j - 18\/5*v + 4\/15*v**5.\nAnswer: 2*v*(v + 3)**3*(2*v - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (36485\/(-10))\/(-2*(-1)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 + 56. List the prime factors of h.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-560)*-7)\/(4\/(-3))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of ((-126365)\/(-15) + -5)\/(3 - 32\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378961 is divided by 23685.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 65213.\nAnswer: 32606.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18688 - -40199. Suppose 14*p = x + 61411. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*p*r**2 - m*p*r*y - m*p*r - 2*m*p*y - 3*m*r**2 + m*r + 2*m*y - 13*p*r**2*y - 7*r**2 + 273 wrt r.\nAnswer: -4*m*p - 6*m - 26*p*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*x - 4*l, x + x = -l + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4035, 3 in ascending order.\nAnswer: 3, 13, 4035","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 803 + -797. Solve 0 = -p*x - 8 - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let c = -7369 + 7366. Let s(q) = -q**2 - 7*q - 2. What is c*g(f) + s(f)?\nAnswer: -f**2 - 4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8043420 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4223615743 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6995.422km to meters.\nAnswer: 6995422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-63)\/(-4*1\/(-4)). Let w = -41 - u. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4545232m?\nAnswer: 0.0004545232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-6) + (-2)\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -22*j + 75. Let k be g(-22). What is the greatest common divisor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5921?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 15*s**2 + 4*s - 4. What are the prime factors of k(15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/445824 and -95\/15552.\nAnswer: 1337472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -809 (b) -4 (c) 0.2 (d) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1)**43*s**4\/s**(-6) assuming s is positive.\nAnswer: s**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s**3 + 3*s. Let w(n) = -10*n - 13*n + 39*n - 17*n. Give r(l) + 3*w(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(sqrt(475) + -1*(-1 + sqrt(475)) + sqrt(475)) + -5)**2.\nAnswer: 360*sqrt(19) + 7681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sps when three letters picked without replacement from {s: 11, p: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)\/j*j**3)\/((j*j\/j**16*j*j)\/j**(-2\/95)) assuming j is positive.\nAnswer: j**(14418\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -751, 2, 2\/3.\nAnswer: -751, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3977 and 43829?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.55721179 and 1?\nAnswer: 16.55721179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -1, -5*t + 105 = 123*v - 128*v for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**5\/5 + 44*a**4 - 61368*a**3\/5 + 801956*a**2\/5 + 1788886*a\/5 + 925344\/5 = 0?\nAnswer: -243, -1, 16, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -82, -187, -1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 2*o**3 + 3. Let r(i) = -i**2 - 13*i - 32. Let m be r(-6). Let w(v) = 20*v - m*v - 15*v. What is a(w(f))?\nAnswer: 150*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Round -1389.54 to the nearest ten.\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/1767 and 49\/14601.\nAnswer: 277419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25*-52 + 0*(2 - 1). Round p to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -2303?\nAnswer: -2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118\/143 + 20\/13. Let j = -8721\/7 + 1243. Find the common denominator of j and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*i - 128, 2*i - 18 = 5*m - 161. Suppose -4*t - 3*v = -215, 2*v + 266 = 5*t + 3*v. Calculate the remainder when t is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -408 - -793. Let v = 380 - m. What is the fourth biggest value in 0, v, -1, 0.9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54.47*0.73\nAnswer: 39.7631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 736 and 322.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 9*x**4 - 15*x**4 - 4 + 7*x**4 to the form v*x + l + g*x**3 + s*x**4 + z*x**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djidjjjdjdiiiijjdj. Give prob of picking 2 j and 1 i.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.015 - 0.125. Is -2 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + c - 7, 4*c = -a + 2*c - 4. Let o be 9\/(-4) - 2*a\/(-16). Sort 3, -26, o.\nAnswer: -26, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y. Let h(p) = 542464*p. Calculate u(h(f)).\nAnswer: -4339712*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 4. Suppose i + 4*w - 23 = -0*i, -2*i + w + g = 0. Let m = i - 1. Solve m*f - 10 = -5*d, 0 = 2*d - f - 3*f - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*g = -47, 13*x = 17*x + 4*g - 116. Let o be ((-12)\/(-120))\/(x\/(-20) + 2). What is the second biggest value in -5, o, 8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0*v**2 + 0*v**3 + 0 - 1\/4*v**4 + 7*v. Let o(y) = -1 - y + 1. Calculate l(o(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 211 - 38. Let j = 173.3 - n. What is the biggest value in 4\/7, 2\/13, j?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*d - 184*d + 2808 = 0. Is d < 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u**4\/4 + 2*u**2 - u + 22. Calculate the least common multiple of 3 and l(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002439389 to seven dps.\nAnswer: -0.0002439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 3 - 3)*(5*x + 2*x - 6*x)*(1279 - 557*x - 1279).\nAnswer: -1114*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93586560 and 252800?\nAnswer: 467932800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(10 - 3)*361\/133?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 0.1 (c) 0.34652\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avavaaaavavev. What is prob of sequence aae?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.23680434 to 1 decimal place.\nAnswer: -22.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21516, 40985, 60472, 79983, 99524, 119101, 138720?\n\"Answer: z**3 + 3*z**2 + 19453*z + 2059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 58 = -2201*m + 2199*m, -m - 4 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25958 = 10*g + 94978. Let s = 729 - g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**3 + 10*c**2 - 12. Let p(n) = -2*n**3 - n**2 - 1. Calculate -g(d) - 8*p(d).\nAnswer: 3*d**3 - 2*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10127 + 10106 - (8 - (-1 + 1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3\/7 - 83730*u**2\/7 + 3931072*u\/7 - 1075320 = 0.\nAnswer: 2, 45, 41818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2403.618 months?\nAnswer: 200.3015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 247.32 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-215)\/(-559))\/(1\/13). Sort -9, -1, -3, n, 6 in increasing order.\nAnswer: -9, -3, -1, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f4 (base 16) to base 15.\nAnswer: -477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -v**4 - 7*v**3\/3 + 17*v**2\/2 - 75*v + 147. Is i(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - w**3 + 0*w**3 + (-184*w - 695 + 695)*(-7 + 7 - 6*w**2).\nAnswer: 1103*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/9 less than or equal to 149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let g(r) be the first derivative of 0*r + 29\/2*r**2 + 24. Calculate g(u(z)).\nAnswer: 58*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*n = 7. Let o(a) = -44*a - a**3 + n*a**3 + 2*a**2 + 43*a + 8*a**3 - 4. What is the hundreds digit of o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -5. Does -1\/61 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, -0.158, -4?\nAnswer: -0.158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50694)\/(-426)*2\/(-14)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8267 + -14.1733. Which is the smallest value? (a) 1\/3 (b) 1 (c) -2\/19 (d) -0.07 (e) f\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*z - 3. Suppose -4*t + 40 = -z*t. Solve 8*a - 3*a + t = -v, 8 = 4*a - 4*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/25)\/(30\/(-275)))\/((-12)\/(-8))\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -769*d + 103*d + 2*d**2 + 284*d + (4*d - 3*d + d)*(-2*d + 3*d + d).\nAnswer: 6*d**2 - 382*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and -19\/6602.\nAnswer: 46214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -117.\nAnswer: -22\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {r: 1, w: 3, h: 1, q: 5, o: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2448\/2195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 13*j - 219 + 118 + 96 - j**2. Determine t(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5782 + 5529. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**6\/120 + x**5\/40 + x**4\/48 - x**3\/12 - 7*x. Factor r(p).\nAnswer: -p*(p - 2)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.39 + 0.08.\nAnswer: 7.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 59810352 divided by 146594\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -29. Let z = 49\/2 + a. Suppose -3*v = -4 - 5. What is the nearest to z in -3\/4, 0.2, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 12\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77036 + -38826217\/504. Find the common denominator of -8\/567 and v.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 383 + -374. Let d be (7 - (f + 2))*-2. Solve 5*r - 4*b = 2*r + 6, -2*r + 4*b = -d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 603152485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46076\/5 or 9216?\nAnswer: 46076\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in 2\/7, 0.3, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1223833214 and 6.\nAnswer: 3671499642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32474616, -32474618, -32474620?\n\"Answer: -2*a - 32474614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w**2 + 79*w**2 + 3*w + 1 + 24*w**2)*(-2 + 1 + 5)*(w**2 - 2*w + 2*w).\nAnswer: 452*w**4 + 12*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/6659614 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**2 - a**2 + 6*a**2 - 3*a**2.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4296 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f**2. Let y(m) be the third derivative of -m**4\/24 - 10*m**2. Determine y(q(t)).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.129, -1, 82?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 496\/2604 + (-590)\/(-210). Factor b*j + 0 - 3\/2*j**3 - 3\/2*j**2.\nAnswer: -3*j*(j - 1)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 1, a: 2, z: 1, b: 1, j: 1}. Give prob of picking 1 q and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02057957 to 5 decimal places.\nAnswer: -0.02058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 64008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -14132584.1 to the nearest one hundred thousand.\nAnswer: -14100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, -5, 14, 60.\nAnswer: -5, 2, 3, 4, 14, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - 1 - 5*j**2 - 9750*j + 9744*j as q + o*j**2 + l*j and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 42*j**5\/5 - 18*j + 7. Find the first derivative of b(x) wrt x.\nAnswer: 168*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-6)\/7) + (-101)\/202. Let b = 7 - 6. Solve -b = -d - m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 - 670600*v**3 - 3918010*v**2.\nAnswer: 180*v**2 - 4023600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -23. Let f(l) = -3*l. Calculate f(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -771c?\nAnswer: 7722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 2)*(n**2 - n**3 - n**2)*(-2*n + 4 - 85*n - 5*n) in the form v*n**3 + r + c*n**4 + s*n**2 + q*n and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 3, -2, 1291.\nAnswer: -4, -2, 1, 3, 1291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -7. Let f be (-40)\/(-15) + (-2)\/(-6). Suppose 2*t - f = -7. Sort t, b, 0 in descending order.\nAnswer: 0, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 705 = -13*t. Let c = t + 127. What are the prime factors of c?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**4 + 2*h**3 + 6019*h**2 + 2*h + 19521?\nAnswer: -12*h**2 + 12*h + 12038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17335120 divided by 8667560?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 213 and -0.4?\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 2:15 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 19. What is the nearest to d in -2, -4, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 9*h**2 - 3*h - 11. Let i be m(9). Let y = -8 - i. Suppose y = r - 3*q + 12, -2*r - q = -43. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2336093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -612*y - 4346. Determine c(-8).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.942 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 - 27*z**2 - 13*z + 36. Let l(x) = 2*x**3 + 18*x**2 + 9*x - 24. Let q(r) = 5*j(r) + 7*l(r). Let g be q(-9). Round g to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25339362 to the nearest integer?\nAnswer: 5034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - q. Give f(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**5\/15 - 17*r**4\/3 + 61*r**2\/2 + 224. Let y(d) be the second derivative of p(d). Factor y(m).\nAnswer: 4*m*(m - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 7:05 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, 9, 21, -119 in descending order.\nAnswer: 21, 9, 4, -1, -5, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7150 and 10010.\nAnswer: 50050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 * 276.\nAnswer: -772.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 82\/(-26) - (12 - 622\/52)*-4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(931)*1 + (sqrt(114)*2)\/sqrt(6)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834754468 to the power of 1\/2, to the nearest integer?\nAnswer: 61925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -31074\/7, 4\/5, -5, -4, -0.4 in descending order.\nAnswer: 4\/5, -0.4, -4, -5, -31074\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.796125 hours to nanoseconds.\nAnswer: 24466050000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 8*t - 3. Suppose -5*x + 2*n = -52, -94*n + 89*n = 5. Calculate w(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 40*r**2 - 45*r - 260. Give d(-39).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11731513513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(7\/4)))\/((z*z*(z*z**(-16\/7)\/z)\/z)\/z))**42)**(-6\/7) assuming z is positive.\nAnswer: z**(-135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -9. Let o = 10.1 - q. Let b be 1 + 21\/19*-1. Sort 0.4, o, b.\nAnswer: b, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 39.3. Let l = -12 + 9. Let j = 0 + -0.1. Which is the closest to j? (a) u (b) l (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 5 (c) 2\/5 (d) -42\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39\/35 - (12\/5 + -2). Let u(c) be the first derivative of -2\/7*c**5 + 5\/7*c**4 - 1 + o*c**2 - 20\/21*c**3 + 1\/21*c**6 - 2\/7*c. Let u(g) = 0. Calculate g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939501041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011*t + 233*t - 29385 - 35359 = -1912 for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**30)\/(n*n**(-11\/3)\/n*n))\/(((n\/n**(-2\/33))\/n)\/n**(11\/7)))**(-30) assuming n is positive.\nAnswer: n**(57340\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.152 from -61418377381.\nAnswer: -61418377381.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/4 and 47\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 565*b**3 + 416 wrt b.\nAnswer: 1695*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -2 - 4\/3*a**3 - 16*a**2 + 3\/2*a**4 + 0*a - 4\/15*a**5. Let m(j) = 0. What is j?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.625 plus 34?\nAnswer: 102.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 17510?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*l + 4*l**3 - l**3 - 901*l + 695*l.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -92. Suppose -4*k = 3*u - 14, -n*k = -u - 5*k + 8. Solve 1 + 9 = -u*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -718530, -718523, -718514, -718503?\nAnswer: -718490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*l**3 - 23*l - 304*l**3 - 305*l**3 + 1179*l**3 - 280*l**3 + 23*l.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**4 - 168*f**3*j - 264*j wrt f.\nAnswer: -8*f**3 - 504*f**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 101031 (base 4) to base 3\nAnswer: 1111210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 16 + 2. Let m be 42\/a*(-12)\/8. Suppose -m*p = -14*p + 1064. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 168802029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let s = 0.024 + 0.276. Let h = 0.75 - 0.05. Which is the nearest to h? (a) -0.1 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -14*p - 4*p. Suppose -5*q + 6*u - p*u + 723 = 0, -156 = -q - 3*u. Which is bigger: q or 583\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -16*l - 94. What is the tens digit of u(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.601 - 0.099. Let g = x + 5. Let n = g + -0.4. Sort -5, -1, n in ascending order.\nAnswer: -5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 368?\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 - 30*k**3 + 30*k**3 + 3*k**4 + k**4 - 2*k**4 + (-4*k**2 + 4*k**2 + 2*k**2)*(-5*k**2 + k**2 + 2*k**2).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6716 in 5, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 9:17 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99.3 - -104.3. Which is the second biggest value? (a) 2\/23 (b) -1\/10 (c) h (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*b + 33 = 0, 5*l - 4*b - 47 = 10. Suppose -l*a + 12*a = 12. Solve -2 = 4*u - 3*o, 0 = 4*u - 3*o - o + a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 0.4, 12, 2.06, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1.52, -2\/11, -0.3, 1\/4, -0.78?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/14 - (-1380)\/70. Let l = -2 + 22. What is the highest common factor of s and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g + 0*g - 1000*g**2 + 11*g.\nAnswer: -1000*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 746866, 1493721, 2240580, 2987443, 3734310, 4481181, 5228056?\nAnswer: 5974935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10102212 (base 4) to base 12.\nAnswer: -a206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1778*m + 37 = -869*m - 872*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*z = -101*z - 56. Sort -1, 4, z.\nAnswer: z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 303 - 287. Calculate the lowest common multiple of 18 and t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = c - 3. Suppose 5*a = 2*k + 20, -c*k - 8 = a - 0*a. Let d = k - -10. Solve 0 = 3*v + d - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125.347 - -4?\nAnswer: -121.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 35 = 3*k, 8 = -3*w - k + 25. Solve y + 0*y - 1 = -w*n, 3*n = y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -122, -135, -164, -215, -294?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b - 2. Suppose 0 = 275*s - 284*s - 9. Calculate x(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1405\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5.2 (b) -3 (c) 0.13 (d) 2 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + w + 135. Suppose -2*p + w = -p. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**2 - 5*m + 5 + 5*m. Let n(w) be the second derivative of 3*w**2 - 3*w + 0*w**3 + 0 - 2\/3*w**4. What is -5*n(g) + 6*o(g)?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16080.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -15*t**2. Suppose -2*z + z = 6. Let f(h) = 8*h**2 + 7*h + 7. Let i(j) = -7*j**2 - 6*j - 6. Let g(n) = z*f(n) - 7*i(n). Determine s(g(r)).\nAnswer: -15*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u - 7. Let v(z) = 1 + 4 + 3 - 4*z. Let l be ((-18)\/(-45))\/((-2)\/(-10)). Let j(i) = l*v(i) + 3*m(i). Calculate j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 - 24585*b**2 - 5*b**3 - 6963*b**2 - 3*b**3.\nAnswer: -b**3 - 31548*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, i: 1, t: 1}. Give prob of picking 1 t and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*u = -144*u - 218*u - 9808 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3960)\/2310)\/((-78)\/21)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*i - 17744 + 17744 + (-1 + 1 + 1)*(2*i + 1 - 1) + i - 2*i + 0*i)*(i**2 + 2 - 2).\nAnswer: -137*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lh when two letters picked without replacement from {n: 1, l: 2, q: 1, t: 1, h: 2, j: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(6)\/sqrt(3) + 5)**2 + (sqrt(10)\/(sqrt(5)*1))**2.\nAnswer: 20*sqrt(2) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*z**3 - 16*z**3 - z**3 + 8*z**3.\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**5\/12 - g**4\/4 + 5*g**3\/3 - 160*g**2. Let i(n) = -n**2 - n + 1. What is -6*i(u) + l(u)?\nAnswer: u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 50402025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -535c65 (base 15) to base 13.\nAnswer: -a8c3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 6031.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -40*b + 101. Let f(m) = 19*m - 51. Let n(y) = -3*a(y) - 7*f(y). Let j be n(4). Solve -j*s - 5 = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 15 = 2*o + 1, -5*o - 7 = g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -27, -1610, -8 in decreasing order.\nAnswer: -4, -8, -27, -1610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00339713418 rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -23 - (-3 + 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = -7*k - 1255. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3019, 2587, 1823, 691, -845, -2821?\nAnswer: -5273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7624803 divided by -4?\nAnswer: -7624803\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:21 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.288 - -0.697865. Let o = 231.59 + -232. Let q = o + k. Round q to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {h: 2, s: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5.2, -0.4, -3, 4\/5, -0.01, 3\/4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -30593224.1 to the nearest 1000.\nAnswer: -30593000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 10:19 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-42)\/36)\/(7\/(-4)). Which is the closest to h? (a) 6 (b) -61 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 156 = 4. Let f be (3\/(6\/k))\/(-7 + 5). Suppose -2*s = -s - 2*l - 10, 2*s = -4*l - f. Solve -t + s = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 73, 115?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 2*h - 24118 = 47128. Does 58 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 g when three letters picked without replacement from {b: 4, g: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**2 - 3*h**2 + 20*h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 225.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.17 * 559.\nAnswer: 95.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 268, -15.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 732 - 2972. What is f rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 235474 + -235474.2. Let r = -158\/133 - -28\/19. Let y = 0 - 0. What is the nearest to y in r, u, -1.9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/20)*m**(-11) assuming m is positive.\nAnswer: m**(-221\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(((-160)\/(-45) - 3)*-6).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66, -76, -86, -96, -106, -116?\n\"Answer: -10*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**2\/2 - 13*q - 1782. Let n(f) = f - 12. What is -6*i(h) + 7*n(h)?\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49844 - -249467. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10291 and 1.\nAnswer: 10291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + 23 - 23)*(3*p**2 + 0*p**2 - 2*p**2) + (-2*p**2 - p**2 + 5*p**2)*(-p - 2*p + p) - 2 + 3*p**3 + 2 as v*p**2 + l + h*p**3 + d*p and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-8) + 645\/12. What is the greatest common divisor of 36 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - ((-45)\/(-9) + -10). Solve 2*t - 6 = h, j*h - 3*t = -2*t + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28868 and 151557?\nAnswer: 606228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1221 - h**2 + 11775 + h - h.\nAnswer: -h**2 + 10554","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 873704 - (-14 - -22) - -4. What is g rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Let u(i) = -3*i + 2. Let n be u(2). Let r = n + t. Solve 5*c - 23 = -2*w - r*c, -4*w = -4*c + 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncnncccncmnnnnnnnnnn. Give prob of picking 1 m and 1 n.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 9. Let d be z(-7). Let o be (-5)\/10 - 2\/d. Let r = o - -13\/6. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 7*k - 3. Let u(g) = 0*g**3 + 3*g - 4 - 4*g**3 + 3*g**3 - 4*g**2. Let f be u(-5). Is 3 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from whwhyfyfwywwyyyffhy.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*k*o + 15*k + 14*o wrt k?\nAnswer: -4*o + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**2 + 2*c + 5. Let i be g(-3). Let a = -53 + i. Let m be 4\/((-12)\/a) + -101. What is m rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**2 - 2. Suppose -5*d - 16 + 1 = 0. Let y be -4 + -1 + (0 - d). Let r(v) = 10*v**2 + v + 11. Determine y*r(j) - 11*g(j).\nAnswer: 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2. Let b = -93 - -301. Let z(o) = -419*o + b*o + 216*o. What is z(r(n))?\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 + 374 = 239*g - 1667. Let j(h) be the third derivative of h**6\/120 - 7*h**5\/60 + h**4\/8 - 2*h**3\/3 - 2*h**2. What is j(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 144*j**2*q**5 + 3*j**2*q**4 + 4*j**2*q**2 - 13*j**2 - q**2 wrt q.\nAnswer: 8640*j**2*q**2 + 72*j**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-2 - -4)*1. Find the third derivative of -p*l**2 + 22 - 19 - 87*l**3 + l**2 wrt l.\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 12. Let d be o(10). Suppose -3*w + 10 = -2*n - 27, -5*w - 2*n = -67. What is the highest common divisor of w and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((1 + 72\/(-66))*-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/36)\/(3\/6 + -1))\/1.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**4 - 14*m**3 + 0 - 2 - 2*m**2 + 13*m**3 to the form z*m**3 + p + r*m**4 + c*m**2 + j*m and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -101001110101000101101?\nAnswer: 101001110101000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 729 + -257. Let w be ((-3)\/8)\/(-3) + (-59)\/t. Solve 5*r + 6 + 3 = 2*x, w = 2*r + x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*f + 979, -3*f + 36*k = 39*k - 408. What is the remainder when 2046 is divided by f?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59500\/(-2975)*324\/(-80).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 952272 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -7580.\nAnswer: -7580, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/(-5) - 1)*110\/(-33). Let t(c) = c**3 - 7*c**2 - 3*c - 14. What is the smallest common multiple of t(m) and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8400*-1\nAnswer: -8400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*2*(-3)\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + -1. What is the third biggest value in p, -1, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.232 - -111.768. Let k = 126.2 - n. What is k rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-1)\/(20\/(-50)*-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3325\/7315)\/((-2)\/(-22)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 22*b**2 + 52*b - 13. Let c be i(24). Suppose 0 = h - c - 475. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 9. Let j(g) = -2*g**2 + 2. Let d(z) = -3 - z + 3*z**2 + z + 0*z**2. Let f(n) = t*j(n) - 5*d(n). Factor f(o).\nAnswer: (o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62267 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: 1 + -7 + 28 + -8 + 39\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 3*d + 1. Let w(t) = -15*t**2 + 11*t + 5. Let q be ((-12)\/(-21) + 30\/(-21))\/(11\/77). Determine q*w(l) + 22*g(l).\nAnswer: 2*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/9 + b**3\/9 + 62*b**2\/9 - 91*b\/9 + 10\/3 = 0?\nAnswer: -6, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - r. Let l = 32 - 20. Factor l*o**r + 2*o**2 - 4 - o - 9*o.\nAnswer: 2*(o - 1)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -273?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2179 + -747. Suppose -16*t + 1272 + c = 0. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1097250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33 + 115c5d?\nAnswer: 115c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 7:06 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 544 = t - 23*t. Solve -19*v + t = -15*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.082931 millimeters?\nAnswer: 5082.931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from echqe?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/4))\/v)**(-3\/20)\/(v**(-2\/9))**(-3\/5)*((v\/v**(-1\/2))**(5\/6))**(-17) assuming v is positive.\nAnswer: v**(-5123\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 - 4*n**2 + 3*n - 2. Let x be m(2). Suppose 3 = -4*b + 15. Suppose 5*k - b = x. Solve 5*c - k = 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-364)*-44 - -10. Let m = 1280\/8151 + -2\/627. Factor 0 - f*h**2 - 32\/13*h - 48\/13*h**3 - m*h**5 - 16\/13*h**4.\nAnswer: -2*h*(h + 2)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v + 90 + 169. What is the remainder when 309 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 12. Let k be (2 + -4 + -50)\/(-2). Let x be k\/(-9) + (-6)\/(-2). What is the second biggest value in 0.07, x, v?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwwawhwchhjchaawhhc. What is prob of sequence jah?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**7\/63 + 16*a**6\/135 + 5*a**5\/2 - 289*a**4\/27 - 1760*a**3\/9 - 3200*a**2\/9 - 585*a + 1. Find b, given that t(b) = 0.\nAnswer: -5, -2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -0.12. Let w = 282.2 + -283. Which is the second biggest value? (a) g (b) 3\/5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 1 (c) -60 (d) -5 (e) -1 (f) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3536*i - 49388. Give r(14).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1714 + 256?\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, z: 1, g: 5, n: 1}. What is prob of sequence cgz?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 446831 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-4))\/(3\/(-2)). Let y = 90 - 89.7. What is the closest to -1 in 2\/17, x, y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 770 = -2*x, -x - f = 4*x - 1899. Let v = -183 + x. What is the highest common divisor of 49 and v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3 + 3)*(-2*n**2 - 4*n**2 + 5*n**2) - 9*n**3 - 8 + 8 - 78*n + 78*n + 12*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7 = -k, -r = -0*k - k + 2. Sort 3, -5, 4, r in decreasing order.\nAnswer: 4, 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5525, 5528, 5531, 5534?\n\"Answer: 3*q + 5522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61\/3 - -20. Let n = 1.29 - 67.29. Let q = -71 - n. Which is the closest to i? (a) q (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2190 = 198*k + 408 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9517 + -9516.992951. What is q rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 91 = -89 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = -g + 3*p, 5*p = -4*g - 316 - 152. Let a = 292 + g. Suppose 5*q = -5*b + a, 4 - 1 = b. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 827102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/9 - 53*u**3\/3 - 55*u**2\/3 + 803*u\/9 - 160\/3 = 0.\nAnswer: -3, 1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/(9150\/675))\/((-3)\/(-88))?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 17*q + 7336 = 0. Let p = -519 + q. Let m(w) = w**3 - 4*w**2 - 5*w + 6. What is m(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by (-522)\/63 - -7 - 492\/(-7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - l + 5, 2*b = 3*b - l + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*a**4 + 39*a**2 - 1 wrt a.\nAnswer: -288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l - 56. Let b be n(-20). Solve 6*m + 0*m**2 - 4 - 3*m**2 - 6*m**3 + 2*m**b + 5*m**2 = 0 for m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 - 4*u - 1. Let m be c(3). Let t = m - -660\/7. Put t, 36, 2\/5 in decreasing order.\nAnswer: 36, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 23*t**2 + 4*t - 48. Let q be c(23). Calculate the greatest common factor of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184\/(-3864)*14\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3874640 divided by 553520.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10959054 is divided by 576?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 1295530.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-15 - -14)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5187 by 13.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 22*m - 109. Let t be r(10). Suppose 857 = 2*j + b, 0 = -j - 8*b + 4*b + t. List the prime factors of j.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-15)*t*t*t**(-2\/45) assuming t is positive.\nAnswer: t**(-587\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 212732 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: Suppose 180 = g - 5*l, -5*g - 27*l + 784 = -23*l. What is the greatest common divisor of 135 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c*m**4 + 2630*c*m**3 - 2*c*m**2 + 25*m**4 - m**3 + 2538900*m**2 wrt m?\nAnswer: -24*c*m + 15780*c + 600*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1683444698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -269*x**2 + 543*x**2 - 276*x**2. Let d(v) = v + 6. Let w be d(-6). Let f(s) = w + 0 + 5*s**2. What is m(f(k))?\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-12) - 3\/(-12). Let y(j) = j**3 - j. Let n be y(p). Let v = 5 + -3. Sort 4, n, v in decreasing order.\nAnswer: 4, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3394*i**3 + 500 wrt i.\nAnswer: -10182*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 13*z. Let l be o(-13). Suppose l + 8 = 4*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + (-2 + sqrt(1700))*-5 - sqrt(1700) - (6*sqrt(1700)*2 + sqrt(1700) + sqrt(1700))) + 2)*3)**2.\nAnswer: -41040*sqrt(17) + 5524596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 178976.9nm in micrometers?\nAnswer: 178.9769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 14) to base 13\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 485*a - 69*a**3 - 269*a - 224*a to y*a**3 + x*a**2 + o + n*a and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4106 + 5435. Is x bigger than 1321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/16)\/d**(-26) assuming d is positive.\nAnswer: d**(417\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - j = -20, 3*j - j + 5 = p. Suppose 7*m = 8*m - p. Let x = 16 - m. Which is bigger: -7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*d - 29. Suppose -2 = -5*b - 12. Let i be 3 - (1 + b\/2). What is the greatest common divisor of i and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -107809, -108295, -108781, -109267, -109753, -110239?\n\"Answer: -486*t - 107323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*x - 1, -4*z + 3*x + 11 = -5*z. Let c = 0 - -3. Let k(g) = -g**2 + 4*g - 4. Let q be k(c). Sort q, z, 3.\nAnswer: z, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135 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: What is the value of 5*(60\/(-10))\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 19 - 9 - 26\/(-8). Let f = -25 - -39. Is a <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -10 + 1 - -1 - (-787760)\/98464. Which is greater: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324*a + 248*a - 16938 - 17337 = -2243 for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10684 * -3.\nAnswer: 32052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, -3, 658, 17 in descending order.\nAnswer: 658, 53, 17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4484180.\nAnswer: 2, 5, 224209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m + 1\/3*m**3 - 1 - 1\/2*m**2. Let i(j) be the first derivative of h(j). What is the derivative of i(l) wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -448831 in 1\/5, -108, 0.1, 0.5?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 5026104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7, -282, 5 in increasing order.\nAnswer: -282, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26028994758864 - 0.2.\nAnswer: -26028994758864.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from {x: 1, p: 1, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2. Let w(o) = 2*o - 115. Give -2*f(a) - w(a).\nAnswer: -2*a + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292.001382 - 292. Round n to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/(4807\/(-323)) + (-18)\/(-33).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4717b - 265?\nAnswer: 46b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2*c = 13 + 9, 3*c + 5*c - 5*c + 222 = 12*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 3, e: 6, z: 3, j: 1}. Give prob of sequence eoe.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by (-759)\/(-15) + -5*22\/(-275).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 8*x - 527612 + 527613 - x - 78*x**2.\nAnswer: -78*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 29*d**2 - 54*d + 81. Let m be h(-27). Solve f = -78 + m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1836197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 266 - 277. Let d be -6 - (-11)\/(u\/120). Which is greater: d or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 3*h**5\/10 - 7*h**4\/8 + 5*h**3\/6 - h**2\/4 + 7. What is g in p(g) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 - 4*j + 2. Let w be s(3). Let v = w - 136\/3. Let i(l) = l**2 + 9*l - 16. Calculate the common denominator of i(-11) and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 61\nAnswer: 14\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-523) - 0\/(-103))\/1. What is the biggest value in 7, u, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -335767626 divided by -37307514.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.317106198 + 8.\nAnswer: 8.317106198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m**(-22)\/m)**(-5))**8 assuming m is positive.\nAnswer: m**(2680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-160)\/(-25) - 6)\/((-2)\/10). Sort l, -9, 0, -1 in decreasing order.\nAnswer: 0, -1, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 6*s + 10. Let a be h(-4). Suppose -2*r + 1 + 11 = 0. What is the remainder when r\/(1\/(2\/a)) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 20*x. Let a(g) = 960*g**2. What is a(r(y))?\nAnswer: 384000*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 0.06, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6264 = 111. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/15)*(-91)\/(-273)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 + 14572*k**3 + 10592700*k**2 - 5056311100*k + 96771926000 = 0. What is k?\nAnswer: -1985, 20, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 24 = 0, -p - 3*z - 43 = -70. Let c be (-3)\/((-2)\/(-8)*3). Sort 4, p, 9, c in ascending order.\nAnswer: c, p, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316866 and 1716?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 103 = -3*c, -13*c + 24 - 459 = y - 4*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15485 is divided by 254.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 - -184.1. Let i = 65\/2 + -32. Let u = -3 + 4. Which is the third smallest value? (a) u (b) -5 (c) j (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457709930 rounded to the nearest 100000?\nAnswer: 457700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96716*i - 131386*i + 596736*i.\nAnswer: 562066*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 54 = -2*f - r, -4*r = -4*f - 224. Let i = -48116.7 + 48117. Which is the smallest value? (a) i (b) f (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439219 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 699349998 to the nearest integer?\nAnswer: 26445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 503329 + -503329. Suppose 0*u + d + 2\/5*u**3 + 24\/5*u**2 = 0. Calculate u.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 315 = -7*b + 1148. What are the prime factors of b?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m**2 - 24*m**2 - 30*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274720 is divided by 191.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 908161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -w**6\/120 - 41*w**5\/30 + w**4\/4 - 2755*w**3\/6 + 102*w**2 - 6. What is the derivative of p(j) wrt j?\nAnswer: -3*j**2 - 164*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 104.3667.\nAnswer: 313.1001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - l - 73 = 0, -j + 7 = 3137*l - 3138*l for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 742*d**3 - 498*d**2 wrt d?\nAnswer: 4452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -39 + (-1 + -2)\/(-1). Let a = 49 - x. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29, 98, 185, 296, 437, 614, 833?\n\"Answer: y**3 + 3*y**2 + 53*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91 + 144. Suppose -4*q - v = 2*v - 49, 5*q + v - d = 0. What is the greatest common factor of 40 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 1) + 1143 + (10 - 9)?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*h**2 + 922*h + 5707 wrt h.\nAnswer: 6*h + 922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014.8259 months to centuries.\nAnswer: 0.84568825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -12*u**3 + u**2 + 16*u + 42. Determine n(-3).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1485832g in nanograms?\nAnswer: 148583200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 40, 2, 1, 3\/2 in decreasing order.\nAnswer: 40, 2, 3\/2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s + 42. Let w(m) = -5*m - 42. Let c(q) = 2*i(q) + 3*w(q). What is the remainder when 25 is divided by c(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1035442 - -3?\nAnswer: -1035435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001451759 rounded to 6 dps?\nAnswer: 0.001452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4582 and 0.24.\nAnswer: -0.109968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 41456 = -3*k, -4*k - v + 85425 - 30154 = 0. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**3 + 39*p**2 + 1214*p - 163865.\nAnswer: -6*p**2 + 78*p + 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74201 (base 9) to base 11\nAnswer: 33901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3358 - 788106?\nAnswer: -784637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 19*z**2 + 20*z - 28. Let m be l(-20). Let r be (2\/4)\/(m\/(-8) - 5). Let y = -11 + 22. Is r at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (sqrt(88)\/sqrt(11) + -5 - sqrt(8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**0\/u))\/u)\/u*u*u)**16 assuming u is positive.\nAnswer: u**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) -1\/3 (c) -1 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41590 is divided by 67?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1288061 is divided by 2618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.5 - 6. Let d = -0.7 - i. Let b = 0.1 - 0. What is the biggest value in b, 0, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 34 - 22)*(69 + 89*y - 69) to the form w*y + q and give w.\nAnswer: -4272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + z - 1 + 5 = 0, -3*z - 12 = 3*d. Suppose 3*h - 28 - 221 = d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - 15)\/(1\/(-5)). Suppose 0 = -5*i - q + 355, -2*i = -6*i - 3*q + 273. Suppose 0*u = 3*u + 3*f - 45, -i = -n*u - 4*f. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1358 - 643. What is the greatest common divisor of 195 and a?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2\/3423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/29 - -83\/58. Let v = 2075.6 - 2073.6. Let m = -0.1 - -0.4. Sort m, p, -1, v in decreasing order.\nAnswer: v, p, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 543*d + 39816.\nAnswer: -3*(d - 56)*(d + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 24 = 3*j. Suppose 0 = -3*g - j*m + 10, -g - 1 = m - 4*m. Solve g + 1 = -3*n + 3*r, -4*r = -2*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 5:13 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/21)*w\/(w\/w**(-2\/55)))\/(w**1*w*w)**(-4\/9))**12 assuming w is positive.\nAnswer: w**(5552\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -33, -45, -73, -123?\n\"Answer: -i**3 + i**2 + 2*i - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073664 divided by -52096?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1300) + 1) - (sqrt(1300) + 1 + 2) - (sqrt(26)\/sqrt(2)*5 + 1 + 0))**2.\nAnswer: -30*sqrt(13) + 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/247 and -18\/7.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 2) + (-9)\/(-3). Let f = 0 + d. Let l(t) = t**3 - 5*t**2 + 5*t - 3. Let i be l(4). Put f, 2, i in descending order.\nAnswer: 2, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29487129 a multiple of 1057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32497399 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(5\/(150\/5)). Let l = -77 + i. Solve y + 3*u + 11 = 0, 2*y + u = -l - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24113952 divided by -6\nAnswer: 4018992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 959 - 955. Let s = -37\/2 - -325\/18. Which is the closest to 1\/3? (a) -2\/11 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x + 39*x**3 - 25*x**2 - 42*x**3 + 98*x**4 + 10*x + 24*x**2 - 99*x**4 + 1 in the form n*x**2 + g*x**4 + a*x**3 + d*x + v and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 4*a - 4*a + 5*a. Let c(y) = -4*y**2. Calculate c(n(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6415134*x*y + 6335787*y wrt x.\nAnswer: 6415134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaamaaaama. Give prob of picking 3 a.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - v**2 + v**2)*(0 + 2*v + 0) + 3*v**4 - 2*v**4 + v**4 + v**4 + v**4 - v**4 + 0*v**4 - 4*v**4 + 3*v**4.\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -703.443279 and -0.3.\nAnswer: -703.743279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 - 54*b + 54*b as m + v*b**2 + f*b and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3915.179nm in micrometers?\nAnswer: 3.915179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5. Let h(n) = n**3 + 6*n**2 + 6*n + 2. Calculate h(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3017*q + 2265*q + 4564*q + 3644*q - 2448*q as i*q + x and give i.\nAnswer: 11042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 74399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -5, 0, 72 in decreasing order.\nAnswer: 72, 4, 0, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-356)\/(-10) - 4\/(-10). Let o = -25 + m. What is the remainder when 41 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041 (base 9) in base 15?\nAnswer: -361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 3:15 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 19*w + 30. Calculate s(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6909 and 13728.\nAnswer: -94846752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363103 (base 11) to base 4.\nAnswer: 2030122030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*z + w - 6, -4*z - 13*w - 87 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-4))\/(1*(-1)\/(-8)). Suppose 299 = -m*h + 323. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-40)*1*376376\/5005?\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let w(o) = 129*o**3 + 5*o + 2. What is -5*u(v) + w(v)?\nAnswer: 129*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-2\/5)))**47\/(v\/v**(-6)*v\/v**4))\/(((v**8\/v*v)\/v)\/(v*v\/v**7)*(v**(1\/2))**(-3)) assuming v is positive.\nAnswer: v**(-333\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/52220 and 173\/548310.\nAnswer: 1096620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3 = 7, -5*b - t = -326. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 154 + 498 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/20)\/k*k\/(k*(k*k\/(k*k**(5\/3)*k)*k)\/k*k)*(k\/k**(-2))**15)**(17\/2) assuming k is positive.\nAnswer: k**(45509\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767.057 years in millennia?\nAnswer: 1.767057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, a: 2}. Give prob of sequence xx.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 - 51. Let p(t) = 40*t**3 - 9*t**3 + 8 + u*t**2 + 4*t - 2*t**2. Let q be p(4). Round q to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*o - 30*t + 27*t, o + 15 = -4*t. Let z = 0 + o. Solve 0 = -3*v + 2 - z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 16*i**2 - 56*i - 11. Determine p(8).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n + 3546 - 1030 = -27*n - 25*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 6*j. Let l(y) = 153*y. Calculate l(h(o)).\nAnswer: 918*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -122919 divided by -182\nAnswer: 122919\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.3 + 82.3. Let h = t + -52. Let v = h + -19. Which is the smallest value? (a) -1\/4 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208797*r**2 - 103656*r**2 - 105146*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11210 (base 4) to base 10.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 3.04, -2\/21?\nAnswer: 3.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s + 52*s = 80. Suppose 44 = m + 18. Let r = -2 + m. What is the highest common factor of s and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 28 = -3*i, 2*z + 173*i - 352*i + 2 = -177*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 - -4. Let o be 144\/(-1377) + 4\/(-34). Let m = 17 + -17.3. Which is the nearest to o? (a) m (b) p (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 5 (c) 1\/2 (d) -1\/56 (e) 4 (f) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 915.5 - 595994873?\nAnswer: -595993957.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 152.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/(-4))\/(-3))\/(-21*14\/(-735))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*m - 0*m. Solve 14 - 4*a + 2*a**2 - m - a**2 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88224 or -88225?\nAnswer: -88225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 5 + 1 + 9*h - 4 as o + l*h and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16383 is divided by 149.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5295*t**3*x**2 - 2*t**3 + 4*t**2 + 6145*t*x - 76540 with respect to x.\nAnswer: 10590*t**3*x + 6145*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*n - 11 + 11.\nAnswer: 71*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -157.\nAnswer: 8\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p**2 + 3*p. Let c(a) = a**3 + a**2 + a + 2. Let u be c(-2). Let o = u + 7. Let i be d(o). Solve 3*m - t + 2 = i, 0*m + t = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0)**(5\/3)\/(a**(-1))**48 assuming a is positive.\nAnswer: a**(149\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 589 - 586. Solve 0 = o*g - 7*g - 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.3, 1599, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 7*p + 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17826 - 6010 = -1150*a - 658*a - 5756 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 742 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - -39c?\nAnswer: 38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 500*s**2 - 2100*s + 2205 = 0.\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 79. Let k = 73.912 + j. Let h = k - -0.08904. Round h to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10191835.\nAnswer: 5, 37, 89, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -746 + 6731\/9. Find the common denominator of p and -11\/280.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0405 times 0.93?\nAnswer: -0.037665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.5 (b) -1.2 (c) 5 (d) -4 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k. Let g(t) = -17411*t**2. What is g(c(d))?\nAnswer: -69644*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142 + -707\/5. Let f(o) = o**2 - 5*o + 6. Let c be f(5). Let d(k) = k - 4. Let v be d(c). Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 13 - (-131 + 121).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50094521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11010010110101111010111111?\nAnswer: -11010010110101111011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6311, -37, 9, -6 in increasing order.\nAnswer: -6311, -37, -6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 2 = 0, 5*d = -4*r - 2 + 17 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4204)\/(-1051))\/((-84)\/(-39) - 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 - 2?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*2\/(-6))\/(170\/(-204)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -51*m + 45*m. Suppose 2*d = 5*d - 18. Let j be (-2)\/d + (-64)\/(-3). What is the highest common divisor of j and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 904 + 625 + 1461*v + 346 + 863 - 68 + 2*v**2 wrt v.\nAnswer: 4*v + 1461","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 19*r + 28. Let m be k(16). What is the highest common divisor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -321.37 + -3.63. Let v = -325.6 - y. Does 0.11 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*n - 24, -37*n + 16*n + 16*n - 25 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(sqrt(99) + sqrt(99) + 1 + 2)*2)**2*-3.\nAnswer: -5052 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -27*f**8\/28 - 7*f**4\/12 + f**3\/3 + 15*f - 1. What is the third derivative of z(k) wrt k?\nAnswer: -6480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571536 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfpeseessryy. What is prob of sequence ey?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2900.32 - -2795. Round x to 0 decimal places.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 935.\nAnswer: -467.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/8, -0.1, -0.02, 5\/8?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10 = -34. Let h(r) = r**2 + 4*r - 64. Let f be h(w). Solve -6*n = -f - 11 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108975 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0417619 rounded to four decimal places?\nAnswer: 0.0418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 3*g - 2*g, 2*g + 10 = 4*w. Let l(d) = -d**3 - 11*d**2 + 2. Let x be l(g). Suppose x*f = -3*k - 1, -3*k = 3*f - 1 - 5. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 9*s**2 + 3*s + 3. Determine n(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 5*l - 22. Let y be m(-8). Put 1, y, -5 in ascending order.\nAnswer: -5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53830169*v**4 - 2336*v - 2757 wrt v?\nAnswer: 645962028*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l*s**2 + 2*l*s*w + 2*l + 2*s**2*v*w + 44*s**2*w + 3*s*v - 206*s wrt s.\nAnswer: -6*l + 4*v*w + 88*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445452 (base 6) in base 9?\nAnswer: 56445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**3 + 3*b**2 + 9*b - 20. Give h(2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1439398786?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3838\/2829 - 22\/943. Suppose 14*l**2 + y + 25\/3*l + 3*l**3 = 0. Calculate l.\nAnswer: -4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**26*l**(-1\/14))**(-1\/13))**(10\/7) assuming l is positive.\nAnswer: l**(-1815\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 0 + 2*w - 3 - 17. Let z be i(10). What is the second derivative of -2*k + 18*k + z*k - 2*k**5 wrt k?\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 q, and 1 u when three letters picked without replacement from qgpqqqguuug.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/12 - (-15)\/306. Sort 1, -3, c.\nAnswer: -3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 2*o**2 + o. Suppose -w - 1 + 3 = 0. Let s be 0\/w + (-2)\/(-1). Suppose -2*i = -s*r - 12, r - 2*i + 22 = 3*i. Give x(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 853386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1715 and 3920?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -223 (b) 0.08 (c) -6 (d) 2\/5 (e) -2 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 13. Let g be w(-4). Suppose 0*h - 4*s = -5*h - 140, -4*h - 112 = g*s. Calculate the common denominator of (-1)\/(6\/27)*24\/h and -19\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 2)*455\/260. Let i(q) = -9 + 3 + 6*q - q**2 - 1. What is i(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 9:35 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3 - w + 3. Let c be ((-15)\/10)\/((-9)\/12). Let u(i) = 0*i**2 + i**2 + i**c - 3*i**2. Calculate d(u(t)).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.078083 + 0.078. Round m to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3202.7 - -3203. Which is bigger: c or -979?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t - 22*t = -12*t - 25402. List the prime factors of t.\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from piraxurp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmv when three letters picked without replacement from mvdm?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291*f**2 + 27*f - 3 wrt f?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus 537?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4179645 is divided by 696603?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s - 11. Let v = s - -38. Solve 5*c + 0*q - 2*q + v = 0, 0 = -c + 3*q - 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208 = 10*m - 32. Suppose -7*l + 4 = -m. Suppose 0 = -4*r + u + 15, 8 = r + l*u - 17. Solve -f - 2*j + 4 = -4, 0 = r*f + 5*j - 20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102390, -818836, -2763470, -6550386, -12793678, -22107440, -35105766?\n\"Answer: -102349*t**3 - 3*t - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 694113097 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose 0 = 4*v + r*j - 28, 5*j = 5*v - 26 - 9. Suppose v*w = 3*w + 8. Is -2\/7 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1. Let u(r) = 4*r + 0*r + 4*r - 7*r - 8. Calculate -u(y) - 5*x(y).\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 1, p: 16}. Give prob of sequence ppa.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-35)*(-1430)\/176.\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.049 times -505.05\nAnswer: 24.74745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1369926 is divided by 487.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) + (2 - 834\/495).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2228930?\nAnswer: 2, 5, 11, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -17 + 1\/((-1)\/2). Is 9 a factor of (3 - 5)\/2 - w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1373897440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3091899?\nAnswer: 3, 149, 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-192)\/14)\/((-6)\/21) and 28?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(152) + sqrt(152) - -2*sqrt(152)*-1)\/(3*sqrt(128)*-6))**2.\nAnswer: 931\/5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6 - 7901*c + 3922*c + 3947*c.\nAnswer: -32*c + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**7\/210 - 9*d**5\/20 + 11*d**4\/24 + d**3\/3 - 145*d**2. What is the second derivative of a(j) wrt j?\nAnswer: -12*j**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4530 - 5322 + 791 - 6*v.\nAnswer: -6*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037909754 to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) 4\/7 (b) -0.3 (c) -2\/3 (d) 13.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(5 + -3)*2558. Let d be v\/40 + 9\/90. Is 129 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1824 and 11476.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - -5)*(-5)\/(-15) - -3. Solve h*a - 3*q = -1, -8 = 5*a - 5*q + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33892279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1. Let u(n) = -n + 5. Let z(l) = u(l) - 2*v(l). Suppose -5*y - 4*d = -y - 724, -544 = -3*y - 2*d. Let g = -177 + y. Give z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -373.774 from -108458.\nAnswer: -108084.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1812969411 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 0, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -652346697 + 1165656158. Let n = -513309469.99999988 + u. Let z = 9 + n. What is z rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 3*k**2 + 3 - 4*k**3 + k**3 - 4*k. Let p(j) = 4*j**3 - 5*j**2 + 5*j - 4. Let r(t) = 4*p(t) + 5*u(t). Find the first derivative of r(z) wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p**2 + 34*p**2 - 51*p**2.\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 60320 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*b - 10 = -b, -2*b + 2 = n. Solve 5 = n*g + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4008 divided by 6\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -128 (c) -1\/2374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + (14\/21 - -3). Solve j*q = 5*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3432 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -135\/19?\nAnswer: -135\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-5\/4)\/k*k*k**4*k)\/(k\/(k*k\/((k**0*k)\/k)))**25)\/((k**(-4\/5)\/(k*k**7\/k))\/(k\/(k\/(k*k\/(k**(2\/3)*k))))**(-21)) assuming k is positive.\nAnswer: k**(611\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**2 + p - 5. Let n be (16\/(-6))\/((-2)\/3). Let v(u) = -3*u - 3*u**2 + 0*u**2 - n + 4*u. Let d(w) = -4*c(w) + 5*v(w). Determine d(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 142 + 19. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 1:41 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14*7.77\nAnswer: -108.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o - 7. Let i be j(-11). Suppose -t = 3*t - i*z - 368, -t = -3*z - 98. Let x = 132 + -107. What is the remainder when t is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (25 - 19 - 20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 14*c**2 + 21*c - 9. Let t be (2\/4)\/(3 + (-440)\/144). Is 8 a factor of o(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 229\/7980 and -89\/1404366?\nAnswer: 98305620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2412319825 to five dps.\nAnswer: -0.24123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7327*g + 605 = 7316*g for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-426870)\/651)\/135*(-14)\/(-16)\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (20\/33*1)\/(19\/(-57))\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 3 + sqrt(1008) + 1 + (3 + sqrt(1008)*-2 + -3*(sqrt(1008) + -2*sqrt(1008)))**2.\nAnswer: 84*sqrt(7) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -18 + 8. Solve -3*f = -0*f + s - m, -3*f = -4*s - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 19*i = 32. Let y(j) = 2*j**2 + 2*j**i + j**3 - 6*j - 6 - 10*j**2. Suppose -4*v + 6 - 25 = -x, -2*v = 6. Calculate y(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcb when three letters picked without replacement from {b: 4, c: 2, m: 5}.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1. Let f(b) = 5. Let l(o) = -f(o) + 4*i(o). Let p(d) = d**2 + 13*d + 38. Let u be p(-8). Let c(q) = -q. Calculate u*l(x) + c(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 6:12 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13008106*l**3*r - l*r**3 + r**3 - 483*r**2 - 33879 wrt l.\nAnswer: -39024318*l**2*r - r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 + 11*m + 11. Suppose -2*b - 6 = -3*z, z - b - 2 = -3*b. Let v(c) = -z - c**2 - 6*c + 2*c + 2*c. Give 6*s(p) + 33*v(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5\/12 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**2 - l. Suppose 0 = -0*o - 2*o - 4. Let r be f(o). Calculate the common denominator of 2\/4 + r\/(-44) and -51\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s**2 - 8*s + 6. Let q be f(3). Let j(k) = -9*k - 3*k + 13*k + 15. Let o be j(q). What is the nearest to o in -2\/9, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/45794056 and 10\/1010163.\nAnswer: 137382168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**3 - 37*f**5 + 11*f**3 - 2*f**5 + 3*f**5 + 0*f**5 + (-2*f**4 - 2*f + 2*f)*(f - 5*f + 2*f).\nAnswer: -32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 4*v**2 + 0*v**2 + 0*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x. Let k(f) = -4*f - 7 - 13 + 20. Calculate o(k(m)).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 + 369*h**3 + 6852*h**2 - 23724*h - 180144 = 0 for h.\nAnswer: -18, -4, 6, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(1100) + sqrt(1100))*-3 - (sqrt(1100) + 1)*-1)**2 + ((sqrt(1782)*1)\/((sqrt(40)\/sqrt(4))\/sqrt(5)) + -5)**2.\nAnswer: -136589 + 410*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-20) - 3\/(-4). Suppose 0 = -4*b + 5*b - f. Solve 6 = 5*c + j + b, j = -5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11*q**3 - 3*q**2 - 3*q - 17. Suppose -14 = -2*i - 2*f, -3*i - 4*f = 3 - 25. Let n(d) = 4*d**3 + d**2 + d + 6. Give i*l(t) + 17*n(t).\nAnswer: 2*t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1490 and 6407.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36085 smaller than 25337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a - 1. Determine u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/144 - 53*w**5\/120 - 15*w**4\/8 - 2*w**2 + 20*w - 3. Factor y(r).\nAnswer: -r*(r + 30)*(5*r + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8520912 divided by 2840304.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-108)*66*(2 + 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 33 = -6. Suppose 2 = 4*a - k*a. Solve a*p + 14 = 5*x, 3*p + 5*x - 2*x = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.70744 micrometers to millimeters.\nAnswer: 0.09470744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-5 + (2 + sqrt(125))*6)*4 - -3*1*(-4 + 2 + sqrt(125))))**2.\nAnswer: 6210*sqrt(5) + 91654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1235421153035456.9999986 - -1235421279553313. Let v = k - 126517878. Let l = v + 22. What is l rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11540953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)*f**5\/f)\/(((f\/f**(-1\/15)*f*f)\/f)\/((f*f**(-1\/4)*f)\/f)))\/((f**1)**(-13))**(-46) assuming f is positive.\nAnswer: f**(-11913\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.03, 4, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386074 is divided by 193031?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.16 (c) -2\/81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 24007*w.\nAnswer: w*(w - 96028)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44233025003 + 4?\nAnswer: 44233025011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.09 - 17.7425. What is b rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 440, 767, 1164, 1631?\nAnswer: 2168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 5:19 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*q - 44*s + 1125 = 1154*q, 5*q - s + 2*s = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 12. Suppose z - h - 39 = 0, 0 = -10*z + 5*z - l*h + 187. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Let m = -1.72 + 1.52. What is the nearest to 0 in j, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -39 (c) 10 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*c - 505*c - 117 = -3*d, -c = 2*d - 43 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 0*s + 293. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166.7084 rounded to 0 decimal places?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2883*q**5 - 26670*q wrt q.\nAnswer: -57660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 1043 = 263. Suppose 270 = 11*c - a. Solve -3*y + 9 = -3*w, 4*w + c = -8*y + 3*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 6, a: 4}. What is prob of picking 1 y and 1 f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) 2\/9 (b) -0.2 (c) -0.1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*g - 67.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*l - l + 0*l)*(3*l + 3*l - 5*l) - 8*l**2 + 17*l**2 + 24*l**2)*(3*l + 2*l - 6*l) in the form n*l**2 + b*l**3 + u*l + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -7*t + 20. Let r be 3\/1 - (5 - t). Let s = -455 + 460. Solve -5*q = -h + 3*h - 5, s*q - 5 = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j + 3. Let a(u) = 2*u**2 + 2*u - 1. Let r be a(1). Suppose 0 = -2*b - r*b. Is 3 a factor of p(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, -1, -20 in ascending order.\nAnswer: -20, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -647, -1455, -2597, -4079, -5907?\nAnswer: -8087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 1172 = 3*h - 5*m, 4*h = -2*m + 1526. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 30.8316.\nAnswer: 154.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 7. Let f = 0.302 - -0.088. Let l = -0.49 + f. What is the closest to -0.1 in l, h, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 8 = -2*w - 6, -5*r = 2*w + 23. Is w*(-30344)\/(-48)*(-4)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -365, 5, 17, -3 in increasing order.\nAnswer: -365, -3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-472)\/(-520) + ((-65)\/25 - -2)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -2)*(-201)\/(-6). Suppose -p + 17 = -5*q, 68*p - c*p - 5 = q. Solve -p + 1 = m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 2*q**2 + 3*q - 3. Let f be g(1). Let v be 1\/f - (-55)\/44. Let m = -2 - -2. Is v != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 725, 782, 839?\nAnswer: 896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 1, -2, 31, -6.\nAnswer: -6, -2, -1, 1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*g - 123*g - 38*g.\nAnswer: -198*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 224 = -10*v. Calculate the remainder when 55 is divided by v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l - 30. Let v be n(18). Let w be 4\/v - (-30960008)\/(-12). What is w rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, 1\/2, -0.32, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 4*u**2 + 3*u + 3. Let m be i(-2). Suppose j + 2*r = m, -j - 2*j - r + 15 = 0. Solve -12 = q + 3*o, -5*q - j = -4*o - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1405 - 594. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 32 + 35 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(2\/15)*a)\/a)\/a*a\/(a\/(a*a*a**(2\/9)*a*a)))**(-4\/3) assuming a is positive.\nAnswer: a**(-604\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 168 - 1174\/7. Let o = -446 - -400.9. Let t = o + 44.8. Which is the second smallest value? (a) w (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/7 + (10 - -1). Suppose -c = -5*v + 18, 0 = -v - c + 4*c + s. Suppose -3*o - 2*u + 37 = 0, -v*u + 2*u = -2*o + 13. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*k + 38*k - 354 + 1024 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)*v*v\/(v*v\/v**3) assuming v is positive.\nAnswer: v**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 13 + -16 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.00104 - 0.03001. Let h = u + 0.0242. Round h to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-138 + 274 + 2*w - 133)*(-w**2 + w**2 + 2*w**3) - 2*w**4 - 4*w**4 + w**4 to b + l*w**2 + x*w + k*w**4 + a*w**3 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7658 and 4732.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84 - 93) + 1 + 1 + 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*u - 5*k + 2*k, -4*k + 39 = -3*u. Let q = u + 21. Suppose -q*p + 2*p = -270. Calculate the highest common factor of p and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 15 - 8 + 48 + 77*t**3.\nAnswer: 77*t**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -7*x**5\/10 - x**2\/2 + 314*x. Let c = -1 - -1. Let u(h) = -h**2 - h + 1. Let n be u(c). Calculate r(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 49*i**5\/60 - 5*i**4\/12 - 7*i**3\/6 - 18*i**2. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4589454 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 + g**4\/6 - g**3 - 16*g**2. Let n be 2 - (-2 - (-1 - -1)). Calculate t(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 432200?\nAnswer: 432203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 - 120 = -p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-40)\/22 - 448\/(-528). Let r = 2 - 2. What is the closest to f in r, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*i - 24 = 3*i, -2*f = 5*i - 12. Suppose p = f*p + 15. Is 26 a factor of (-3 - p) + (2 - -24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3625620 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 3*m - 28 + 9 as z + f*m and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 divided by 10?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3 = -0*n + n, 5*n + 6 = 2*p. Suppose 2*l + 2*y - 8 - 42 = n, -y = -2*l + 44. What is the highest common divisor of l and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*1210.\nAnswer: -27830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -2435?\nAnswer: -2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/(-22) + 315\/(-2772)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-213)\/90 - (-18)\/(-60). Which is the nearest to -6? (a) 2\/9 (b) z (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 40. Let p = h - -42. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-250)*-15)\/((-42)\/35). Let 0 - 1\/4*c**3 + 0*c + h*c**2 = 0. Calculate c.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + 4*q**2 - 2*q**3 - 48*q + 46*q + 16 to the form d*q**3 + l + n*q + v*q**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4165429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y**2 + 22. Let d(s) = 3*s**2 + 3*s - 19. Determine -3*d(x) - 2*g(x).\nAnswer: -x**2 - 9*x + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -268829 divided by -1.\nAnswer: 268829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.89301 + -2.89. Round j to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*z - 4 = 159*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*w - 16*w + 22*w)*(-6 - 3 + 4) + (-2*w + 0 + 0)*(-1 + 3 - 1) to the form m*w + i and give m.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -2320, 2 in descending order.\nAnswer: 2, -1, -2, -2320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8116404 and 195?\nAnswer: 527566260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*((-72)\/(-96))\/(2\/(-380)). What is o rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(-1406))\/(2\/(-4)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/20 and -21\/424?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -964\/95, 2\/7, -4\/15, 3\/7 in increasing order.\nAnswer: -964\/95, -4\/15, 2\/7, 3\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116581?\nAnswer: 73, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, d: 2, y: 6}. Give prob of picking 1 x, 2 y, and 1 d.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 4*d - 4. Suppose -m + 7 = -k - 0, 12 = -4*k. Let b(g) = -g**2 + g + 1. Let c(s) = m*b(s) + q(s). Let c(v) = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 120. Let s be 207\/(-21) - (-24)\/(-168). What is the remainder when f(s) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 + 152. Let o(u) = 24*u + 1269. Determine o(v(j)).\nAnswer: 48*j**2 + 4917","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 27 + 6*b)*(-23583*b**3 + 23583*b**3 - 448*b**4).\nAnswer: -2688*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1289, 3685, 7195, 11819, 17557, 24409, 32375?\n\"Answer: 557*g**2 + 725*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + (-4 - -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 145*c - 12. Let x(u) = 2*u - 2. Calculate q(y) - 5*x(y).\nAnswer: 135*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -5, 737, 163?\nAnswer: 737","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 51*v**3 + 2*v**2 - 4*v + 5. Let u(w) = 50*w**3 + w**2 - 3*w + 4. Let f(a) = -3*r(a) + 4*u(a). Let y be f(-1). Let p = 46 - y. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from sqqqjqqrjjvsjqqjjqj.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/9639 and -103\/952.\nAnswer: 77112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 2*w, -w + 7 = -q + 2*q. Let g(f) be the second derivative of 0*f**3 + 1\/2*f**4 + 5\/2*f**q + 0 - f. What is the first derivative of g(v) wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 219.21 + -221.21. Which is the fifth biggest value? (a) -2\/9 (b) -21 (c) -4 (d) -1 (e) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -1416?\nAnswer: 1\/236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u - 5. Suppose 4*k + 0 = 12. Let g(d) = 2*d + 1. Let q(i) = 21*i + 12. Let a(c) = 22*g(c) - 2*q(c). What is k*w(p) - 8*a(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 461 (c) -2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-32) + (-34255)\/2480.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 10:26 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**4\/6 - l**2\/2 + 11*l. Differentiate i(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, 53, -44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44649)\/6804 + 7 - (-6)\/(-14). Let q(s) be the third derivative of 0 + 0*s + w*s**4 + 1\/270*s**5 + 7*s**2 - 2\/27*s**3. Solve q(u) = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 18 - (-9 + -5 - (-89 + 106)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*s - 3110 = -3113, -4*x - 12*s = 68 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2397920+3084\nAnswer: 2401004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3031*a*b*m*p + 35*a*m*p + 2750*a*m + 3*a*p + 1465*b*m*p + 10*m*p - p wrt b?\nAnswer: -3031*a*m*p + 1465*m*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*z**4 + 5*g*z**3 - 2*g*z**2 - g*z + 10*z**4 + 479*z**2 wrt z.\nAnswer: -72*g*z + 30*g + 240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v**2 - 17*v**2 + 27*v**2.\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 38*t**3 - t + 1. Let w be m(1). Let n = -58 + w. Let a be (n\/9 - -2) + 0. What is the third smallest value in a, -2\/5, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + ((1*sqrt(156) - sqrt(156))*-3*-1)\/((-1*sqrt(108)*-2)\/sqrt(9)) + 1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-12))\/(3\/(-99)). Suppose -5*u + 29 = -x. Suppose 4*s = 3*n + 8, -3*s - 4*n + u = 2. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 (base 10) in base 14?\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22*12\/(-10)*(-16)\/4752*9. Factor 6\/5 - s*p - 2\/5*p**2.\nAnswer: -2*(p - 1)*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1000*a**3 + 17967*a**2 - 2?\nAnswer: 6000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43343 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 (base 14) in base 2?\nAnswer: 11000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-572)\/(-312)*(-92)\/(-69)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb + 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3295 divided by 5?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.197 - 0.596. Let g = l - -0.43. Let s = 5.631 - g. Round s to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47606 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23049809*a**4 + 3*a - 9731123.\nAnswer: -276597708*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 4) to base 10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (425*w + 172*w + 140*w)*(4*w**3 - w**3 + 0*w**3) to z*w + x*w**3 + v*w**2 + g*w**4 + r and give g.\nAnswer: 2211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78 or -1472\/19?\nAnswer: -1472\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.73515485 rounded to three dps?\nAnswer: -51.735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-144))\/(((-4)\/(-18))\/(6\/(-9)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9363, 9363, 9361, 9357?\nAnswer: 9351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 0.4 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.005 + 8.195. Let r = -25.1 - -17.1. Let u = d + r. Which is the closest to -4? (a) u (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - o - o + 3110*o**2.\nAnswer: 3110*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14900 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.2834 centuries in months?\nAnswer: 853540.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 18. Suppose 4*o - 12 = 0, 3*m + v*o - o = 18. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388136075?\nAnswer: 5, 15525443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 25. Let b(s) = s - 2. Let p(c) = -5*c + 11. Determine i*b(j) + 2*p(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.425 + -60.575. What is the nearest to -0.2 in -3\/2, n, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 2*v - v)*(2*v**2 + v**2 - 4*v**2) + 78*v**3 + 318*v**3 - 29*v**3 + 84*v**3 as o + x*v + s*v**2 + k*v**3 and give k.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5366381*w - 6327265 wrt w.\nAnswer: 5366381","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 2:02 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37952?\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47127 = -44060*t + 44743*t for t.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/17)*(y*y\/(y*y**(-2)*y))\/y*y)**33 assuming y is positive.\nAnswer: y**(1089\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4*m**2 - 4*m + 3. Let y be g(2). Let f = y + -8. Let j be (-2)\/4 + f\/(-2). Solve -j*q + q = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 645 + -648. Let f be j + -4 + 9 + -2. Solve -3*q + f = 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41.023 + 0.023. Let h = v + 40.6. Sort h, -3, -0.1 in descending order.\nAnswer: -0.1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*h - 17898, 43*n - 13436 = 40*n - 4*h. What are the prime factors of n?\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q - 5 + 5)*(-118 - 21 - 7) + q + 0*q - 2*q + (0 - 1 + 2)*(-2*q + q - q) as b + i*q and give i.\nAnswer: 727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 250590 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81567 and 3900?\nAnswer: 106037100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200012 + -1?\nAnswer: -200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**2 + 0*l + 0*l**3 - 1\/12*l**5 + 0*l**4 + 1\/120*l**6 + 2. Let v(x) be the second derivative of q(x). Calculate v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 265069*k**5 - 14*k**3 - 7251493*k**2 + 4?\nAnswer: 15904140*k**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 623*m + 6968. What is r(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -3. Suppose a = 2*c, 4*n - 4*c + 8*c = 0. Let x = 400 + -400. Solve 2*i + n - 4 = x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - f + 1. Let m = 0 + 2. Suppose -6*j + 29 = -m*j - 5*r, 2*r = -3*j - 7. Let g be o(j). Sort 4, g, -4.\nAnswer: -4, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from msrms?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3*-6*7\/(-189)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1073 - -1092. Solve -b*k - 6*k = -100 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 4:07 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.08, 2\/7, -9.1, 0.1, -85\/38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 5:42 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + 4*v + 2. Let g(f) = -f**2 - f. Let l be 65\/15 - (1 - 4\/6). What is l*g(r) + b(r)?\nAnswer: r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s + 11*s - 3*s**3 - 1 - 3*s - 4*s**2 + 3 - 2*s**3. Let g(d) = -4*d**3 - 3*d**2 - d + 1. Suppose 4 = 2*b - 2. Determine b*j(v) - 4*g(v).\nAnswer: v**3 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*r - 1671, 0*g + g + 4*r - 532 = 0. Suppose b + 549 - g = 0. Solve 4*y = -b*m + 14, -2*m = -7*m + 4*y + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 3*r + 11, -2*r - 2 = 3*l - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208070?\nAnswer: 2, 3, 5, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/15 - 316\/20. Let f = v + 22. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 14*p**3 + p**3 - 19*p**3 + 56*p**3.\nAnswer: 46*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -6 - (-4 + 0). Let f(w) = -w**3 - 11*w**2 + v + 14*w**2 - 1. Determine f(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -61009*i - 36. Let l be h(-4). Round l to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 839834\nAnswer: -1\/419917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1707.19851 + -1633.198. Let m = 8.9 + 65.1. Let b = a - m. Round b to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c + 20. Let w be i(10). Let r be (-3)\/2*w\/15. Suppose 1113 = 3*o - 2*q, 0*q + 742 = r*o + 5*q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q. Let s(u) = -u - 1. Let o(m) = 5*g(m) - 3*s(m). Let f be o(1). Is 8 a factor of (91 - f)\/((36\/(-8))\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1494 + 1493.8. What is the second biggest value in 26, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 8:27 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 1, e: 1, b: 1, r: 1}. What is prob of sequence ebpr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -38.17. Let r = -0.29 + l. Is r >= -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 3*f - 13. Let j be d(-9). Solve -92*u + 9 = -j*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 146*o**2 - 451*o + 595. Give t(149).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470726561 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -5\/2 (c) -0.939 (d) 51 (e) 0.3 (f) -4\/7 (g) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540896 is divided by 506?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14956583.\nAnswer: 17, 879799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (-8 - 8) + -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11112102020 (base 3) in base 7?\nAnswer: -521115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10037 is divided by 252.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 341497928 by -27701.\nAnswer: -12328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098908 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 19840 divided by -4960\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 3947436?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/14 (b) 2\/5 (c) -5 (d) -1 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*z**3 + 10430*z**2 - 86569*z wrt z.\nAnswer: 12*z + 20860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 504803877?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3765?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a day in minutes?\nAnswer: 41040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.15 less than -0.5?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g + 6*g**2 - 1 - 3*g. Let q = 307 + -306. Let z be i(q). Solve -3 - 6 = z*k - 4*v, 0 = -2*v - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10694756 and 161238?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*r - 38*r - 2472 = 0. Let u = r - -1869. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(162)*-1)*-6)**2 + (6*sqrt(162)*2 - (sqrt(162) + 5*(sqrt(162) + 1)))**2.\nAnswer: 2052*sqrt(2) + 12265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 6 = 0. Let g(w) = -2 + 2*w + 0*w + 1 - z*w. Suppose 4*v + 13 = 1. Determine g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**9\/40320 - t**8\/2688 + t**7\/420 - t**6\/120 - t**5\/12 - 2*t**2. Let q(r) be the third derivative of k(r). Factor q(y).\nAnswer: 3*(y - 2)**2*(y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + sqrt(171))**2 + -5*sqrt(19)*2.\nAnswer: -10*sqrt(19) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*w + 8 - 18*w + 2*w**2 - 4*w**2 in the form j*w**2 + i*w + m and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 974*k + 255778. Calculate p(-263).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 2, n: 1, s: 3, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/16)\/(1\/(-16)). Solve 0*f = 4*f - 20, -m = -3*c - 4*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 204\/(-28) - 2\/7. Suppose -3*h = d*h - 22. Let g be 17\/(-51) + h\/(-3). Is -18\/5 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 3 - (0 - -63). Let a be (-31440)\/m - 1\/4. Is a*1*13\/13 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20602841*h**2*s**2 - 3*h**2 - 46745*h*s**2 - h*s + 2*h + s**2 - 81*s + 1 wrt h.\nAnswer: 41205682*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -433.97 - -434. What is the third smallest value in -3, -8, 6\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19) + -2)*1*2.\nAnswer: -8 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20319967.\nAnswer: 443, 45869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3241 (b) -1\/4 (c) 0 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -12. What is the biggest value in 1.1, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005462868707 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.2 (b) -2\/1562079 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(4235)*1)\/(sqrt(567)\/sqrt(9)))**2 + 5.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1102*v**2 - 46*v - 9129*v**2 + 346*v.\nAnswer: -10231*v**2 + 300*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, 2\/9, -1, 4, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3.7. Let f = 21571 + -21573. Which is the nearest to f? (a) -6 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r + 309. Is 31 a factor of y(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3 - 6 = 0. Suppose -s*r - 10 = 4*y, -4*r - 12 + 0 = 4*y. Is (44\/(-55))\/(y\/15) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 729766 = 26*a + 135822 - 505076. What are the prime factors of a?\nAnswer: 2, 3, 5, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*n - 877 = 3891. Solve 55 - 119 = -n*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**4 - 4*v**4 - 3*v**4 + (3 + 2*v**2 - 3)*(4*v**2 + 2*v**2 - 4*v**2) - 8*v**3 + 4*v**4 + 8*v**3.\nAnswer: 7*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 3)*(-2 + 2 - 3*y)*(-7 + 21 + 8 + 17).\nAnswer: -468*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 95588779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 5*(3 + 3 + 6*-2*sqrt(637)*-3 + 1).\nAnswer: 31 + 1260*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 228.137 to 1 decimal place.\nAnswer: 228.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158388.\nAnswer: 2, 3, 67, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = -32*n - 60 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 + -3482\/15. Which is the fourth biggest value? (a) 13 (b) q (c) 0.4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 705 - 802. Which is greater: f or -100?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26263942 rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -56.49+0.2\nAnswer: -56.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:29 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 20145*a**2 - 12024720*a + 1956222900.\nAnswer: -5*(a - 3345)*(a - 342)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288090?\nAnswer: 2, 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -18 + 8 - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 6 + 11 = 3*s, 5*p = 4*s - 22. Let a(o) = -6*o. What are the prime factors of a(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 - 36 = -14*n + 2*m - 50, -16 = 3*n + 4*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.34. Let l = r - 0.44. Let n = 26\/3 + -8. What is the third smallest value in 0.4, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g + 23. Let o be r(-11). Let y(u) = 7*u + 5*u - 14*u + o + 0. Let l(f) = f**2 - f + 1. What is 2*l(q) - y(q)?\nAnswer: 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 324827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69211.\nAnswer: 67, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-2 + 4)*1. Suppose -5*c - 45 = -a, 2*a - 30 = -n*a - 2*c. Suppose -3*t = 2*t - a. Solve -z + 2*w - 2 - 1 = 0, 0 = -t*w + 16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/6 + 129\/(-558). Let c be (-10)\/(-15)*9\/2. Suppose 0 = c*y + 4*k - 5*k + 6, 5*k = 15. Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t + 4. Let n be u(-8). Let d = n - -83. Calculate the remainder when d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o**4 + 3*o**5 - 8*o**2 - 25*o**3 - 3*o**5 + 21*o**3 + 20*o**2 + 4*o**5 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 58*s**5\/13 - 296*s**4\/13 = 0?\nAnswer: 0, 148\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50230260 a multiple of 3006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06801616 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98854174 a multiple of 2857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2501*q**3 + 4927 with respect to q.\nAnswer: -7503*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14484252 is divided by 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28078, -2\/3, 19 in descending order.\nAnswer: 19, -2\/3, -28078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 5:59 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*5\/10*-807. Suppose 5*g = 3*z + l, 0 = -g + 3*z + 25 + 146. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1407 + 153357\/109. Is k smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4450\/200 + -18)\/((-2)\/(-24))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30418 and 99018.\nAnswer: 1505964762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3 and (0 - -2)\/((-1008)\/636).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 + -46. Let l = v + -20. Differentiate -8*u**l + 2 - 1 + 3*u**2 with respect to u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/2)\/(((i*i**(18\/7)*i)\/i)\/i))\/(((i*i*i**(1\/23))\/i)\/i**(22\/7)))**(-1\/3) assuming i is positive.\nAnswer: i**(635\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 7*s + 15 = 5*q, -4*s = 5*q - 20. Solve p + p + 4 = q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337 > -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 14. What is p(10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000607553 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6340a3 (base 11) in base 6?\nAnswer: -33434054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1016\/7 - -303\/2. Let v = 498571\/20 + -24934. Find the common denominator of t and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3760053 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*(72\/42)\/3*(-11)\/(132\/(-6)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 44 + 36. Suppose 246 = 2*u + 5*f, 2*f = -u + x + 42. Let r = -51 + u. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 190 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*p + 4, -6*y = -2*p - 5*y + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/57784 and 101\/62248.\nAnswer: 14503784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(m\/(m*m*m**(1\/32)))))\/m*m)\/m**23 assuming m is positive.\nAnswer: m**(-801\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 100?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 20*q - 243. What is o(-27)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 503 - 1187. Let q = 34 - t. Let i = q - 675.1. Round i to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(-1)*(-510)\/(-50)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55259782 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -25950 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 53 - 50 + (3 + 1 - 3)*(0 + 3 - 1) + 2 + 1 - 6)*(0*n - n - 2 + 0*n)*(n**3 + 3*n**3 - 2*n**3).\nAnswer: -26*n**4 - 52*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(10*g**3 - 10*g**3 + 3*g**4) + 2*g**4 - g**4 - 3*g**4 to l*g**4 + d*g**2 + j*g**3 + f*g + u and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*o**2 - 7*o**4 + 0*o**4 + 4*o**2 - 4*o**4 wrt o.\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/18411 or 1?\nAnswer: 2\/18411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - m. Let h(s) = -7*s**3 - 10*s**2 - 21*s - 8. Let i(j) = h(j) - 5*n(j). Determine w so that i(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, m: 6, w: 2, i: 5, v: 1, b: 2}. Give prob of picking 1 m and 1 i.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 314330924 to the power of 1\/2, to the nearest integer?\nAnswer: 17729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/7 (b) -70 (c) 1\/4 (d) -3 (e) 42 (f) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3133103 - p - 3133103.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -42.23. Let i = r + -17.23. Let p = -17.2 - i. Sort p, -4, -1.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*b**4 + 2273471*b**3 - 389976*b**2 - 24?\nAnswer: 600*b + 13640826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116\/260390045 + 80132691419897\/3184049470260. Let b = o - 1\/4076. Calculate the common denominator of 23\/16 and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/55, 1, -2, -5\/3 in increasing order.\nAnswer: -2, -5\/3, -1\/4, 1\/55, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Suppose 0 = 20*k - 29*k + 216. Suppose 11*m = 17*m - k. Solve 0*y - m = l*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*b + 9, -2*z = 4*b - z - 37. Let j = 9 - b. Let a(d) = 22*d**2 - 5*d + 4. Calculate the remainder when a(j) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Suppose -u = -l + 1. Suppose -5*q = -5*d - 115, 0*d - l*d = 5*q - 150. Calculate the remainder when q is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 + 4086\/(-144))*8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p**3 + 35*p**3 - 69*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, -39, -0.89, 1\/4, -5 in increasing order.\nAnswer: -39, -5, -3, -0.89, 1\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 507 - 255 - 3856*c - 252.\nAnswer: -3856*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9674491.399933 - 9674450.4. Let h = 41 - s. What is h rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(1300)*1*-3 - ((sqrt(1300) - -2*sqrt(1300)) + -2 - sqrt(1300)))**2 + -1 + (-5 + -2 + sqrt(1300)*2)**2).\nAnswer: -960*sqrt(13) + 75504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-373)\/(-1119)*-4*9\/12*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.2 + 0.5. Let t = -1979467.27 + 1979474.96999951. Let y = p + t. Round y to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 237 + -149. Suppose 3 = l, -4*x - l = x - q. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20\/83399 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.668 - 0.68. What is v rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 120 + 36. Let a = p + 30. Let r be ((-39)\/3)\/((-2)\/a). Calculate the highest common divisor of 91 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - i - 3*i**3 + 6*i**3 + 2*i**2 + 5*i**2 - 9*i**2 as o*i**2 + q*i**3 + w*i + c and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -825343 equal to -825345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + z**3 - 12*z + 13*z - z**2. Let n(s) = 5*s**2 - 5*s + 2. Let t(u) = -5*h(u) - n(u). Differentiate t(l) with respect to l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 9) to base 16.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 62*i + 75 = 0. Let n(u) = -u**3 + 6*u**2 + 2*u - 5. Let m be n(5). Let z = m + i. Solve -2*t + 0*j - 5*j - 3 = 0, 0 = -5*t + z*j + 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1512 - -2313. What are the prime factors of l?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1530 and 45288?\nAnswer: 226440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(55\/(-10))*(-2)\/16\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10)*(-310)\/(-372)*15. Let s(h) be the third derivative of 0 + 1\/84*h**4 + 1\/105*h**r + 0*h**3 + 1\/420*h**6 + 12*h**2 + 0*h. Factor s(t).\nAnswer: 2*t*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -8\/153, 5, -5, -1, 3?\nAnswer: -8\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + 2 + -2*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2684 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -865*d**2*x - 3603*x wrt d?\nAnswer: -1730*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1054\/7 - 5284\/35. Put 0.05, 5, k, -4 in ascending order.\nAnswer: -4, k, 0.05, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3749, -7506, -11265, -15026, -18789, -22554, -26321?\nAnswer: -30090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 142382457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 10*j**2 + 2*j - 8. Let x be l(10). Let b be x\/8 - (-1258)\/(-4). Let i = b + 491. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -64, -85, -114?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 9*p + 12. What is the remainder when 15 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550955 and 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 8. Suppose -c + 0 = 6. Let b(r) = -19 + 26 - 7*r + r**2 + 6*r. Let x(w) = c*b(w) - 5*o(w). What is x(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2903215 rounded to three decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -u - 7. What is the remainder when 27 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -83*l**3 + 2*l**2 + 3*l + 2. Let s be v(-1). Calculate the greatest common divisor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216593849 to the power of 1\/5, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11444805389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -2*z**7 - 22*z**3\/3 + 23. Find the third derivative of n(k) wrt k.\nAnswer: -1680*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.8 - 4.4. Let j = -12.400032 + f. Round j to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 247128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/(-4)*(-3 + (-2)\/(-6)). Is o < 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + b**2 - b + 28. What is the least common multiple of 20 and j(3)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1849 + -1850. Let x = -3 + 9. Suppose -36*g = -g + 105. Which is the closest to o? (a) 2\/13 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhhhh. Give prob of picking 2 h.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -11325 (base 10) to base 9\nAnswer: -16473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12625 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 3*q + 16. Let g be l(7). Which is smaller: g or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43656 = 41*m - 43574 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5*q - 4*q)*(1546 + 1544 + 824*q - 3090).\nAnswer: -4944*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11527061 (base 8) to base 3\nAnswer: -11202210022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -870*k*r**2 + 34*k*r - 11*r**4 - 240*r wrt r.\nAnswer: -1740*k - 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.69 times 198251.7?\nAnswer: 533297.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13642 + 14028. What is the greatest common factor of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 5*y - j, -3 = 3*j - 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1435 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 a = -16.74 + 16.7. Let l be (-15)\/2 + 3\/6. Let n = 2 + l. Sort a, 0, n in descending order.\nAnswer: 0, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86675456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2*2\/(-54))\/(28\/(-399)) and 7\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 217*k**2 + 147*k - 35. What are the prime factors of m(109)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k. Let q(h) = -128981579*h**2. What is q(p(c))?\nAnswer: -1160834211*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17904.\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.95843333 to 2 dps.\nAnswer: 2.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 7:56 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 0, 0 = 3*i - 8*i - 2*l + 6. Suppose i = 5*d + 29 - 4. Let u be (-40)\/(-42) + 4\/(-6). What is the nearest to u in -0.2, 0, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 10*k - 17. Calculate the remainder when w(-15) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*b**(-1\/4)\/b)\/b))**(1\/31)\/(b\/b**(-1\/2))**(-5\/4))\/((b**(1\/8)*b\/b**(-3))\/(b\/((b*b**(2\/7)*b)\/b))**(15\/8)) assuming b is positive.\nAnswer: b**(-2327\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 4\/15*m**3 - 6 - 1\/10*m**4 + 0*m - 1\/5*m**2. Factor h(a).\nAnswer: -2*a*(a - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 6*1*sqrt(133) + sqrt(133) - -2*((sqrt(133) - sqrt(133)*1) + sqrt(133)))\/(1*(sqrt(847) + -1*sqrt(847) + sqrt(847))).\nAnswer: 10*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 48*x + 20. Let s be n(-10). Let i = 273 - s. List the prime factors of i.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 4 (b) -1 (c) 0.9 (d) -1\/3 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 159*m**5\/4 - 202*m**4\/3 - 8*m - 6. Find the third derivative of i(l) wrt l.\nAnswer: 4770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + 16.4. Let k = j + -15.8. Let y = -97 + 488\/5. What is the second smallest value in 0.3, y, k, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s + 6469 + 858 + 959 - 55.\nAnswer: -6*s + 8231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34738945, -34738922, -34738885, -34738834, -34738769, -34738690, -34738597?\nAnswer: -34738490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/25*(-10)\/6. Suppose -d = -2*j - 3*a - 2, 0 = -2*j - a + 1. Calculate the lowest common multiple of j and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**2 - 8*t + 8. Let q be n(7). Suppose 176 = -2*x + q*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = 4*j. Let i = 2670 + -2670. Solve i = 5*v + 3*u + 15, 3*v + j*u + 9 = -0*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46\/15, -181, -3, -8\/49?\nAnswer: -8\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -73, -142, -259, -442?\nAnswer: -709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-165)*(-15)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 116745 = 10*o, 56820 = 3*a - 3*o - 13236. Calculate the highest common divisor of a and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t = -57*t + 384. Calculate the highest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/3 + 3*n**2 + 5*n + 7\/3.\nAnswer: (n + 1)**2*(n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1530 + 5?\nAnswer: -1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 7*m**3 - 17*m**3.\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3 - 3) + 3 + (-4854 - -4913)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11309400 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 11. Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 79. What are the prime factors of 4*h\/(-24) - (-199)\/3?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 372 - 222545?\nAnswer: -222163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -733916.89 rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6460.365ml?\nAnswer: 6.460365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 14*l + 18. Let b be h(15). Suppose u = b*f - 57, -5*f + 2*u - 5*u + 95 = 0. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*k - 2*k - 38 = 0, -2*a - 2*k = -4. What is the highest common divisor of a and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5947568.\nAnswer: 2, 11, 47, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74*s**4 + 95 with respect to s.\nAnswer: -296*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 1. What is g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 16*a**2 - 47*a + 8. Give u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3. Let r(n) = 16*n**3 + n**2 - n. Suppose -2*m + 42 = -20. What is the remainder when m is divided by r(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**2 - 4*w. Let i(k) = -6*k**2 - 5*k. Let j(l) = 4*i(l) - 5*u(l). Let y(m) be the first derivative of 2*m**3\/3 + 1. Calculate j(y(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 z when four letters picked without replacement from {v: 4, b: 1, f: 2, z: 4, e: 7}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 230 times -0.03048\nAnswer: -7.0104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 311247 and 1141239.\nAnswer: 3423717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 0*k + 2*k)*(0 + 0 - k) + 0*k**2 + 3*k**2 - 4*k**2 + 12*k - 12*k + k**2 + (-k + 6*k - 3*k)*(0 - k + 0) as c*k + l*k**2 + i and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5635\/6 - 36170\/39. Let i = 11\/2 - f. Which is bigger: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, 2\/13, 0.4, 3\/313?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 5*d**2 + 7*d + 9. Let w be c(-6). Suppose -9 = w*o, 3*i + o - 2*o = 9. Solve 0 = -i*q - 2 - 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 210065712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61054.6723 - -61065. What is g rounded to 1 dp?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 11\/2 (b) -40 (c) 0.5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47005 and 24885.\nAnswer: 423045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000763 rounded to 7 decimal places?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k + 27*k - 29*k + 5681713. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 9*k - 13. Give b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 7*t + 4. Let d be a(5). Let j be 2\/4 + 9\/d. Let h be (j - -2) + 35\/(-15). What is the nearest to -0.1 in 2, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**4\/2 + 9*c**2 - 6. What is the second derivative of h(t) wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = -4*u - 2*m, 2*u - m + 349 = 5*u. Suppose -2*l - u = -426. Suppose -5*v = -7*v + 44. What is the greatest common divisor of v and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -162332.9 to the nearest 1000.\nAnswer: -162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 58.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 5\/3 (c) -39 (d) 5 (e) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 542341.8 and 0.1.\nAnswer: 542341.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5494 + -5490. Which is the second smallest value? (a) l (b) -4 (c) 2\/3 (d) 1\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175654 and 426?\nAnswer: 526962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.72 - 0.08. Let j = -0.95 - k. What is j rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-33)\/9)\/((-9)\/(-108)). What are the prime factors of 1\/(-5) + 4304\/q?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + k = -2, -3*r + 3*k = 2 - 8. Suppose 7*u - 45 = 2*u. Let q = u - r. Calculate the lowest common multiple of q and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -120098.255 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 1:06 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 7*o - 26. Let l be m(10). Suppose -l*d + 7 = -h + 73, 15 = -3*d. What is the remainder when h is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 - (-46 + (-12 + 7 - -7 - 13))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 8*n - 21. Let u be m(9). Let t be 30\/(-9)*u\/10. Solve -g + t = 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11801?\nAnswer: 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5466, 763, -5.\nAnswer: -5466, -5, 763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -106 - -111. Suppose -z**2 + 1\/2 + z**3 - 1\/2*z**a - 1\/2*z + 1\/2*z**4 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - ((-3 - 1) + 2). Suppose -8 = l*y, -2*k + 3*y + 156045 = -223967. Round k to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430365, 860677, 1290989, 1721301, 2151613?\nAnswer: 2581925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -6638\nAnswer: -3319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 - -79. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 767, 4, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 161 and -23.943.\nAnswer: -3854.823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.4. Let g = 5.8 + 0.2. Let z = 5.5 - g. Which is the second biggest value? (a) z (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a - a)*(-3*a + 6*a - 4*a) + 2*a**2 - a**2 - 2*a**2 + 2*a**2 - 5*a**2 + 4*a**2 + (-4*a + 3*a + 3*a)*(2 - a - 2) - 5*a**2 + 0*a**2 + 3*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 16) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from {y: 1, v: 3, a: 1, q: 2, j: 3, d: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 8:43 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.051759 to 3 dps.\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-1 + -2) + -1. Suppose -4*s + 5*v = 5 + 35, v = -s - 1. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*h = -130, -591*h = -594*h + 27. Sort -14, 1, -1, m, 3 in decreasing order.\nAnswer: 3, 1, -1, -14, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5060568 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*q - 3*f + 136674, -f - 34176 = -q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*n, 1 + 2 = 5*z - n. Suppose 0 = j + 2*q, 2*j - z = -q - 4. Let u be (-174)\/(-21) - j\/(-7). Solve r + 3*r - u = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**2*x + 100*k*x + 11*k - 9654*x - 8 wrt k?\nAnswer: -2*k*x + 100*x + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 61739.2 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*y - 460 = 3*m, -4*m = -2*y - 456. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-256)\/432)\/8*27\/(-12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 436408*w - 4 - 438443*w + 2.\nAnswer: -2035*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 6 - 1)*(47 + 54*p**2 - 47) as h + k*p + o*p**2 and give o.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594606?\nAnswer: 2, 3, 113, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7853 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202277423.\nAnswer: 1229, 164587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 0. Let f = 166389 + -166390. What is the nearest to d in 14, -3\/8, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -16*c + 30*c. Suppose 5*w - 138 = c*w. What is the highest common divisor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0288*-77\nAnswer: -2.2176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -666*l - 22. What are the prime factors of b(-3)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3300\/4675)\/((-20)\/(-5)).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -5*a + 85, -5*k - 19 = -2*a. Let v(g) = 3*g - 78. Give v(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let n = 6 - 6. Suppose 4*k = 3*l - 16, n*l = -5*k + 4*l - 20. Which is the smallest value? (a) x (b) -0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989 at least as big as 11688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(j + 8 - 4 - 2)*(-27 + 25 + 34).\nAnswer: -32*j - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, q: 12}. What is prob of picking 2 q?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**4\/18 + 4*f**3\/27 + 5*f**2\/3 - 8*f - 807. Factor j(s).\nAnswer: -2*(s - 3)**2*(s + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 29.616049188 and 225?\nAnswer: 195.383950812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, g: 2, r: 1, c: 2}. Give prob of sequence wa.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 359*i - 2. Let p(o) = -179*o - 1. Let s(y) = -g(y) - 2*p(y). Let j(k) = 3*k - 12. Calculate -3*j(d) - 8*s(d).\nAnswer: -d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/144*30\/225\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 28*x**2 + 31*x - 148. What is the hundreds digit of v(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1 + sqrt(192)) + sqrt(192)*1 + 5)*-4 + 2)**2.\nAnswer: -13440*sqrt(3) + 78564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y - 32 = -k, -2*y + 4 = 0. Suppose 0 = 2*x - d + 63, -2*x + d - k = -x. Let s = x + 72. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 16. Let t = 30 + s. Which is smaller: -26\/5 or t?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**4\/4 + a**3\/3 + 3*a**2\/2 - a + 99. Determine x(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1064*2.27\nAnswer: 0.241528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24))\/(10\/(-320)*12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 181250748 and 181250746 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -342 * 27.6119.\nAnswer: -9443.2698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -34. Let p(w) = -w**3 + 7*w**2 + 2*w - 27. Let o be p(6). Let t = o + i. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 - 2882 = -13*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-3)*t))**(-25)*t**(-4)\/((t\/(t**(-1\/6)*t))\/t) assuming t is positive.\nAnswer: t**(581\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-3 + 5 + -2 + -1 + 2*(1 + sqrt(242))*5*-6)**2.\nAnswer: 78300*sqrt(2) + 914614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*i + 144 = 119, 5*u + 25 = i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 + 5*h**2 + 301*h - 8452. Let j(d) = 17*d**3 + 22*d**2 + 1202*d - 33809. Let c(i) = -2*j(i) + 9*t(i). Differentiate c(k) wrt k.\nAnswer: 6*k**2 + 2*k + 305","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14268 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.35 - -4.24. Let d = s + -1.9054. What is d rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*y + 49*y**2 - 4 + 2 + 915*y + 38*y**2.\nAnswer: 87*y**2 + 1264*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (3 + 2)) + (16 - 6) + -12.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9917 and 10128?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -347 (b) -54 (c) -4 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1875745 (base 9) to base 14\nAnswer: -1d6189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-90)*(2 - (-14)\/(-8)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -55*z**4 + 100*z**3 + 75*z**2 - 100*z - 20 = 0?\nAnswer: -1, -2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -243*m - 16. Let t(h) = -244*h - 13. Determine -6*t(x) + 5*u(x).\nAnswer: 249*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*z + 35 = 7, 5*x = -z - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 + -79 + -45 + -13 + 1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**4 + s**3 - 1. Let n(a) = -6*a**4 - 5*a**3 - 4*a**2 + 5. Let b(z) = -10*f(z) - 2*n(z). Find the third derivative of b(q) wrt q.\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3567808*x**2 + 37648338*x wrt x.\nAnswer: -7135616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149366052 + 149366052 + 16*b**3.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3780 - -53371. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -8.58?\nAnswer: -0.858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 9 + 12. Let d(v) = -2*v + 31. List the prime factors of d(t).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1427464846 from 1248.\nAnswer: -1427463598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44 - 23 - 23 + 7*b**2 - 2*b + (-1 + 4 + 0)*(b**2 - 4*b**2 + 2*b**2).\nAnswer: 4*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14362 + 0*b + 2*b**2 - b - 8*b - 14367. Calculate j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*(sqrt(162)*1 + (sqrt(64)\/sqrt(2))**2) + sqrt(200) + -4 + sqrt(648)\/sqrt(9)).\nAnswer: 350*sqrt(2) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1566 = -6*c + 4*c. Let z = c - 525. Suppose 19*h = -103 - z. Which is smaller: h or -15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16260.6 + 16261. What is the smallest value in 0.1, 0.01, o, 3\/10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 12*i**2 - 13*i + 16. Suppose 3*c - 21 = 12. What is t(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from ikqkktvickv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -19*j - 13. Calculate the remainder when l(-2) is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s + 4*a = 84*s + 60320, -5*s + 5*a = -75400. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966000 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/21)*l**(1\/4)*l)**(-19) assuming l is positive.\nAnswer: l**(-1843\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -107*r. Let n(u) = -85006*u. What is n(c(j))?\nAnswer: 9095642*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2 + 2*g**3 - 4*g**3 - 17 - 27 + 26*g**4 + 2*g**2 wrt g?\nAnswer: 104*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -28098169, -56196332, -84294495, -112392658?\n\"Answer: -28098163*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r - 2053 = 27*w, -3*r - 197 = -3450*w + 3448*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/((-36)\/(-4266))*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*3\/(-108) + (-2)\/8. Which is the closest to z? (a) -6 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02204827 - 171529266.\nAnswer: -171529266.02204827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 684, 1387, 2338, 3537?\nAnswer: 4984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(28\/(-60)) + 0. Which is greater: -12 or x?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (119\/2)\/(10 - 152\/16). What is the greatest common divisor of 553 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1997*n - 11969. Determine j(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (373 + 356 - 271)*(0 - 4 + 2 + (0 - 3 + 4)*(1 + 2 - 1) + 6 - 4 - 3)*(-2*b**4 - 3*b**2 + 3*b**2) + (b + 3 - 3)*(-b**3 - b**3 + 3*b**3).\nAnswer: 917*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 2. Let p be n(0). Let l be 0\/(1\/p*2). Solve l*w = f + 2*w + 10, -10 = 3*f + 2*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -62. Let a = f - 30. Let t be 1 - 0 - (12 + a). Sort -5, t, -4 in increasing order.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**2 + 17*c**3 - 10*c**2)*(-2 - 1 + 2).\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * -18.9.\nAnswer: 32.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/76716 and -17\/72.\nAnswer: 153432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1632*g + 2*z + 14 = -816*g - 814*g, 5*z = -30 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wppkpkpkjpwpjppww. What is prob of picking 1 j, 1 p, and 2 k?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 29. Let c be -1 - i\/(-3) - -3. Let w = c + 2. Sort 1, w, -3 in increasing order.\nAnswer: w, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*-1)\/((sqrt(40)*-1)\/sqrt(10)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from rzzrrzzzrrzrr?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 3*l = 17, -4*l - 8 = 4*u + 9*l - 26 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 7*v - 11*v + 4*p - 38, -v - 79 = -9*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1 - -1*4\/(-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -31.6.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 607003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-66))\/((-40)\/60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192748 (base 13) in base 3?\nAnswer: 1012012122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 2\/7, 7.4, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**4\/24 + 7*o**3\/3 - 11*o**2. Calculate the least common multiple of 7 and f(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-3)*(-2)\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(-1)\/1*4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 11. Let d be l(7). Let g(b) = b**2 - 2*b - 4. Let r be g(d). Let a(z) = -3 - z**2 + 4*z - r*z - z - 2*z. What is a(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 3, 923568.\nAnswer: 3, 11, 923568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -43 + 20\/3*g**3 + 6*g**2 - 36*g + g**4. Solve w(k) = 0 for k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 1, 0, -1\/8, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c**5\/2 - 5553*c**4 - 443355*c**3\/2 + 204012*c**2 + 2817978*c + 1080504 = 0.\nAnswer: -698, -43, -3, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.4 - 0.9. Let d = m + -0.6. Which is the closest to 0.03? (a) 0.3 (b) -2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -210*a**5 - 67*a**3 - 74*a**3 + 143*a**3 + 1972*a**2 wrt a.\nAnswer: -12600*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than -3852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 13*z**2 + 318*z + 4158. What is s(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*h + 6*h - 135. Let z be ((-1)\/3)\/(1\/h). Let q(y) = -2*y - 2. Let u(s) = -s - 2. Determine z*q(g) - 4*u(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1072 + 2?\nAnswer: -1070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 18. Which is the second smallest value? (a) q (b) -0.1 (c) -8 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6840126 divided by -84446.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let z(w) be the second derivative of -w**4\/24 - 3*w**2\/2 - w. Let p(j) be the first derivative of z(j). Determine p(g(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 52871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/3 + 48985*t\/3 + 48986\/3.\nAnswer: -(t - 48986)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 723.087us to minutes.\nAnswer: 0.00001205145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1345*d**2 + 7*d - 2668*d**2 + 1332*d**2 in the form w*d + q*d**2 + u and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 210052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -44. Let s be 0 + c*-2*170\/(-40). What is the highest common divisor of s and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 9. Let m = -76 - -682\/9. Let j = 22977 + -22979. Which is the nearest to m? (a) j (b) n (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 43856?\nAnswer: 219280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116492327?\nAnswer: 7, 31, 71, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32943 - 880*w - 32943.\nAnswer: -880*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2298.78329339 - 2298.819. Let r = -0.0357 - v. What is r rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9*-1)\/(1\/17 - 0). Let w = g - -158. Solve -9 = -3*v + f, w*v - 8 = f + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 6:50 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*(-20)\/5. Let o(q) = -q**3 - 5*q**2 + 7*q + 9. Let v be o(f). Suppose -285 - 204 = -v*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 7)*2\/3. Suppose -13 = -n*u + 3. Suppose g - k - u = 0, -2*g - 2*k - 4 = -k. Solve g = -2*c + s - 2*s + 5, 4*s = c - 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 311 - 325 = 0. Suppose -c*p - 11*p = -90. Solve 5*q = -4*w - 10, -p*q + q - 8 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62088020 and 82260?\nAnswer: 558792180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s - s**3 + 8 + s - 2*s**2 + 2*s. Let b be n(-9). Suppose 506 + b = -j. What is j rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**12))**(22\/9)\/((t*t**(16\/5))\/t**(-7\/6)) assuming t is positive.\nAnswer: t**(-347\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 194665 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -823*h - 2686*h + 178959 = 0 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/((-54)\/(-27))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 4560?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 36*z**2 - 50*z + 63. Is g(25) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a milligram in micrograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0806*-5.\nAnswer: -0.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jywmddy. Give prob of sequence djw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/926 or 1?\nAnswer: 21\/926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 14*i - 1. Let y(n) = -5*n**2 - 207*n - 1. Give 3*w(v) - y(v).\nAnswer: 5*v**2 + 249*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -7.8. Let t = 5.3 + -5. Let x = t - j. Which is the third smallest value? (a) 3\/5 (b) x (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4232121000 rounded to the nearest 1000000?\nAnswer: 4232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3694 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 137*m**4 + m**3 - 8368*m**2 - 72489652.\nAnswer: 548*m**3 + 3*m**2 - 16736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 275748 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21096 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -3*w + 4*a + 48, -3*w - 17*a - 50*a - 1266 = 56*a - 9*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b - 63*b = -18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -1\/5 (c) -2034473\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1719\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(500)*1 - sqrt(5)))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 - -3.3. Let f = -1282.5 - -1283. Let t(x) = x - 4. Let n be t(4). Which is the third biggest value? (a) n (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 0, -5 = -n + 5*l - 14. Let d(h) = -2*h + 3. Calculate the smallest common multiple of d(n) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3895)\/(-57) + (4 + 14\/(-3))*3\/6?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5) + 2) + (sqrt(500)*2 - sqrt(500)))**2.\nAnswer: -96*sqrt(5) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.2419kg to grams.\nAnswer: 78241.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 + (-26 - -2) + -30.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 11. Suppose 3*o - 29999984 = -o + p*k, -37499996 = -5*o + k. Round o to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*i**2 - 3*i**2 + 3*i**2)*(1 + 2*i - 1 - 15*i - 11*i - 18*i + (-3 - 1 + 6)*(3*i - 3*i + 2*i) - 7 + 8*i + 7) as b*i**3 + t + j*i**2 + y*i and give b.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.995 + -0.005. What is the nearest to 8 in -0.4, -2, -4, n?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1.295\nAnswer: 0.3885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1046 + 5229\/5. What is the closest to -0.1 in -1\/4, z, -3\/16, -3?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-2 - -1) + 0). Suppose -2*c - z = -28 - 121, h*z = -2*c + 151. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106281809 to the nearest integer?\nAnswer: 10309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 683.694l?\nAnswer: 683694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 157342153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087943311 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469 a factor of 19150725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4813\/6 - -803. Let d(a) be the third derivative of -a**2 + 0*a**4 + 0*a - 1\/60*a**6 + 0 + 0*a**5 + c*a**3. Differentiate d(n) with respect to n.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -8, -34, -68, -104, -136?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*w + s, 3*w - 45 = -2*w - 2*s. Let v(x) = x + 6. Let d be v(w). Calculate the greatest common divisor of 91 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30.6 in -0.4, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/4 - 55*c**3\/2 + 306*c**2 - 2196*c. Determine v so that f(v) = 0.\nAnswer: 4, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -380462, -760926, -1141390?\nAnswer: -1521854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624.0768 centuries in years?\nAnswer: 62407.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvytz. Give prob of picking 1 z and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8262 by 486.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u - 9. Let m(c) = -c - 5. Calculate 11*m(o) - 6*q(o).\nAnswer: 7*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-33)\/88*(-4)\/(-6). Which is the second biggest value? (a) 1.4 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319785 and 75?\nAnswer: 1598925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -88\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1315 - 13107\/10. Calculate the common denominator of q and -50\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 3*z - 3*z)*(-16 - 26 - 10)*(-166 - 4 + 38) to the form i + y*z and give y.\nAnswer: 13728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) -1 (c) -13 (d) -3 (e) -2\/19 (f) -4\/3 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327683*w**3 + w**2 - w - 17965 wrt w?\nAnswer: -1966098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u - 7*u**2 - 9 + 3*u**4 + 14 + 0 - 3 as f*u + j + y*u**4 + v*u**3 + x*u**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2074\/(-18) + (-2)\/(-9). Let p = -79 - y. Suppose -p = -0*s - 3*s. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g**2*r**3*z**2 - 11*g**2*r**3*z + g**2*r**2*z**2 - 2*g**2*z**2 + 2*g**2 + r**2*z**2 wrt r?\nAnswer: 48*g**2*z**2 - 66*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40\/9 + 6776\/9*i - 226\/3*i**2.\nAnswer: -2*(i - 10)*(339*i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19309 by -4167.\nAnswer: -19309\/4167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4348*n + 3 - 5 - 1945*n)*(-4 + 7 + 0)*(-3*n + 6*n - n) to v*n**2 + l*n + d and give v.\nAnswer: -37758","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = u + 2*l, 38*u - 32*u - 2*l = -120 + 130 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnqqqqqqqqqqbqqnbpq. What is prob of picking 1 q and 1 n?\nAnswer: 26\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.898 - -32.878. What is the closest to 2\/7 in 0.1, 1\/2, x, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 979*h - 951*h + 175 + 123 - 1670 for h.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of g**4\/4 + g**2 + 7*g - 382. Calculate l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 1}. What is prob of picking 2 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-1 - ((-124)\/(-1116) - 71\/(-9))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -r + 3, 3*r + 2*r - 15 = 3*z. Let x be 8\/r + 2\/(-3). Suppose a = 4, -x*w + 0*a - 2*a = -174. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40526.\nAnswer: 2, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l + 53*l**5 + 922*l**2 - 67 - 13*l**5 - 41*l**5 wrt l?\nAnswer: -20*l**3 + 1844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:15 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, i: 6}. Give prob of picking 1 h and 1 i.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1778 - -0.0778. Let q be -1*16\/(2 + 0). Put b, -3, q in ascending order.\nAnswer: q, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -10745, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16926?\nAnswer: 2, 3, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h + 35*h - 211*h + 62*h - 1519*h**3 + 58*h + 1543*h**3.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 + 9*z**2 + 5*z - 7. What is c(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*x - 3*x + 8 = 0, 0 = -4*u - 2*x + 20. Suppose 2*j + 14 = u*j. Let q = -10 + j. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 31 - 2*j**3 + 7*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20453446 - -1?\nAnswer: -20453445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13966*o**2 + 28160*o**2 - 13811*o**2.\nAnswer: 383*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, k: 2, a: 6}. Give prob of sequence ap.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -662, -1333, -2006, -2681, -3358, -4037?\n\"Answer: -t**2 - 668*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -78. Let w be (23\/69)\/(z\/(-15)). Suppose -3*b - w*h = 15, -2*b + 5*h + 11 = -4. Solve b = -3*l + o - 6, -4*l + 4*o - 3 = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4721*o**2 - 970*o.\nAnswer: -9442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.1 + -103.1. Let i = n - -94. Which is greater: i or -0.126?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 603 - 416. Let k = f - -10. Suppose -5*z + 4*a + 221 = 0, 5*z + 2*a + 0*a - k = 0. What are the prime factors of z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19827 divided by -3\nAnswer: 6609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15608 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/48 + 170\/24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*15\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 28706 * 4\nAnswer: 114824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(78)\/(sqrt(24)\/sqrt(4)*-5) + -3 + sqrt(39)\/sqrt(3) + -2).\nAnswer: -16*sqrt(13)\/5 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23893, -23933, -24031, -24211, -24497, -24913?\n\"Answer: -4*l**3 - 5*l**2 + 3*l - 23887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109684?\nAnswer: 2, 17, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What comes next: 1334, 1555, 1772, 1985?\nAnswer: 2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -7.4. Which is the biggest value? (a) 3 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4\/5 + 83448132*i**3\/5.\nAnswer: -4*i**3*(i - 20862033)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + i - 2 - 3 + (4 + 4 - 3)*(i + 3*i - 3*i).\nAnswer: 6*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i**2 - 1694*i - 6. Let w(a) = 14*a**2 - 1694*a - 7. Calculate 6*k(l) - 5*w(l).\nAnswer: 2*l**2 - 1694*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 404.906 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4921 - -4914. What is the third biggest value in 0, a, 43?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + t**4 + 2*t**3 - 3*t**3 + 0*t**2 to i*t + o*t**2 + x*t**3 + q*t**4 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 9:15 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 42*c - 292. Let s be w(7). Solve 2*d + 2*q = -s*d + 10, d + q = 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333472.293 minutes in weeks?\nAnswer: 33.08256875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a kilometer in meters?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3250 rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 9*p - 6. Let h be z(10). Let k be 1\/(2*(-2)\/h). Solve v + 0 = -3*m + 10, 0 = -5*v + k*m + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.66 * 2.7\nAnswer: -12.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10464*o + 5534*o + 6606*o + 21418*o to the form n*o + i and give n.\nAnswer: 23094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1007 and -54956?\nAnswer: -55340692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 157.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2))**(-1\/9)*i**2*i**(-12) assuming i is positive.\nAnswer: i**(-181\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 10*c - 62. Let q be j(7). Suppose 2*b = q*b - 2070. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3702 + 471.6298. What is the second biggest value in x, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-37)*l)**25\/(l**36*l**(3\/8)) assuming l is positive.\nAnswer: l**(-7491\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62884 + j**2 + 125765 - 62881.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**15)\/((t*(t*(t*t*t*t**(-4\/17))\/t)\/t*t)\/t))**(14\/3) assuming t is positive.\nAnswer: t**(-1330\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 14*q + 144. Calculate k(16).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwppp. What is prob of picking 1 w and 1 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4 and (-191)\/994 - (1 + 16\/(-14)).\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 59*p - 3484. Give r(-95).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 4 (b) 0.1 (c) -636\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-6))\/(0 + 2\/4). Let v(l) = -30*l + 25. Let k(j) = j - 1. Let f(a) = o*v(a) - 25*k(a). Let s(g) = -3*g. Determine f(s(r)).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -27, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794 divided by 3?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -649, -958, -1267, -1576, -1885?\nAnswer: -2194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*h**2*k**2 - 2*h**2*k - 229*h**2 - 38*k**2 - 2 wrt k.\nAnswer: -16*h**2*k - 2*h**2 - 76*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -130 (b) 2\/21 (c) -33 (d) 1\/2 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 times -0.5?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 9*k - 8. Let z be w(-10). Let y(f) = -3*f - 4. Calculate the remainder when y(-5) is divided by (3 - z - 3) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n\/n**(-3))\/n)\/n))\/(n**(1\/9)\/n))\/(n*n**(-2\/9)*n)**8 assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 784*r - 1019398046 + 1019398046 + r**2 to y*r**2 + s + d*r and give d.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:13 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 28699902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2895 and 1222076?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*r - 6 + 1, -2*r - 4*t = 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 284 = 4*m, -2*m + 3*k + 156 = 0. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 2\/9, 2, 421227 in decreasing order.\nAnswer: 421227, 10, 2, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnllnnnnn. What is prob of picking 4 n?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/69 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40880, 45523, 50166, 54809, 59452, 64095?\nAnswer: 68738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1837167 and 2004?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 3)*(-3*h - h + 5*h)*(3 + 0 + 2).\nAnswer: 25*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 80491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16 - -6) + 5 + -2. Let o be s\/(595\/(-10)) + 2\/272. Which is greater: -11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 17*p**5\/20 + 7*p**4\/12 + 43*p**3\/6 + 17*p**2. What is the hundreds digit of o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3*(sqrt(102) + (sqrt(102) - sqrt(102)*2) + sqrt(102)) + sqrt(102)))\/(sqrt(6)*2*2 - sqrt(6) - (sqrt(6) - sqrt(54)*-5)).\nAnswer: -4*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 1, m: 2, s: 1, w: 1}. Give prob of sequence rds.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxk. What is prob of sequence xxk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d**3 - 17*d**2 - 17*d + 9. Let z(q) = q - 4. Let s be z(6). Let j(a) = -3*a**3 + 4*a**2 + 4*a - 2. Calculate s*t(k) + 9*j(k).\nAnswer: -k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 12 = -13*y. Suppose 15 = -g + 2*j + 73, -53 = -g + y*j. What is the tens 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 t**5 - 177*t**4 + 5*t**2 + 79?\nAnswer: 60*t**2 - 4248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 12. Suppose -1079 = -q*w + 1813. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7363967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7080 and 17020.\nAnswer: 6025080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1765ba4 - 2?\nAnswer: 1765ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4233360 divided by 20?\nAnswer: -211668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (588\/30)\/((-486)\/1215).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/17, -1\/2, 3\/2, 1\/2 in descending order.\nAnswer: 3\/2, 1\/2, 6\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107\/10 or 0.2355?\nAnswer: -107\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1*4\/(-9))\/(20\/6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 62, -0.3, 186, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 363 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 12*s**4 - 12*s**3 - 7*s**2 - 17. Let f(c) = -4*c**4 + 4*c**3 + 2*c**2 + 6. Let t(x) = 17*f(x) + 6*l(x). Solve t(g) = 0 for g.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68969251 to the nearest one million.\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 247756*q + 247785*q - 495544*q. Let m(b) = -3*b**2 - 5*b**2 + 3*b**2. Determine m(v(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h - 4*h + (-4 + 4 - 1)*(-1 + 1 - 2*h) - 1 - h + 1)*(-3*h - 2*h + 3*h) to the form z*h + g + c*h**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24213.00010507 + 24213. Round j to 6 dps.\nAnswer: -0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 0.5, -11, -2\/55 in decreasing order.\nAnswer: 1, 0.5, -2\/55, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(126)\/(sqrt(242)*1) - (-2*sqrt(2268)*5 - 4*sqrt(2268)*1)**2.\nAnswer: -444528 - 18*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 111*z**2 + 1287*z - 1399. Determine u(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + -33 + 125 + 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j + j**3 - 3*j**3 + j**4 + j**5 - 2*j.\nAnswer: j**3*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38530113?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13857*r - 10 + 5.\nAnswer: -13857*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v**2 + 132*v + 59. Let n be k(10). Let s = 24.9 + -25. Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6485546155.\nAnswer: 5, 11, 17, 630583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 - 3*a**2 + 5*a - 5. Let j(t) = -t**3 + 2*t**2 - 3*t + 3. Let p(d) = -6*i(d) - 11*j(d). Give p(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*(sqrt(320) + -2*sqrt(320)) + 1 + -2*sqrt(320))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zoookooeo. Give prob of picking 2 o and 1 e.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -1522?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14755894*d - 56661 = 14756455*d for d.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -2*w. Suppose -2*a = -d, 0*a + 2*a - 2*d = -4. Let n be (w - -15) + 0 + a. Calculate the greatest common factor of n and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*r**4*z + 72*r**2*z - 11*r**2 - 514*z - 5 wrt r.\nAnswer: -8*r**3*z + 144*r*z - 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*n = 21738, n + 27179 = 5*k - 3*n. Let m = k + 4565. Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 3*c**3.\nAnswer: -3*c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let b(m) = 271*m + 1. Calculate b(s(k)).\nAnswer: 271*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21741520607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6) + 2\/6. Let f be ((-8)\/4)\/(-2) + -1. Let t = 0.018 - -0.082. Which is the closest to t? (a) u (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/(-6))\/(((-5)\/2)\/(-5)). Find the first derivative of -14 + x + 2*p + 2*p - 14 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/24 + (-1)\/24 + -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2 + 2*v + 5. Let m(h) = -h**2 - h - 3. Let o(n) = -9*m(n) - 4*y(n). Is 6 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6174661.\nAnswer: 241, 25621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6456, 6460, 6466, 6474?\n\"Answer: z**2 + z + 6454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5870?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 56. What is the smallest common multiple of k and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + 10 - 13*d**2 + 148 + 6*d + 11*d**2 + d**4 to the form t*d + m + f*d**2 + p*d**3 + j*d**4 and give m.\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*i**5 - 790*i**4 + 4520*i**3 - 2010*i**2 - 1755*i = 0.\nAnswer: -3\/7, 0, 1, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 0.4, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.8. Let q = -0.4 + s. Suppose 2*r + 4*d = 0, -3*d = 2*r - 3 + 5. Which is the closest to 0? (a) r (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34506?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 + b**5 - 2*b**4 + (4*b + 2 - 2)*(-1157*b**3 + 1157*b**3 - 35*b**4).\nAnswer: -139*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewqkoekvq. Give prob of sequence qe.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -332 - -331. Which is the closest to j? (a) -0.6 (b) -0.2 (c) -0.5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 36*j = -4, x = -4*j + 1447. Is x a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - (-1 - -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppppgppgppgpppgp. What is prob of sequence pggg?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 13 + 4 = -3*l, 3*l - 10 = -4*s. Suppose -a - l*a + 5*m = -24, -2*a - 2*m + 16 = 0. Suppose o - 20 = a. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 114\/24)\/((-9)\/18). Which is the third biggest value? (a) z (b) -3\/17 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -29*h**2 + 3*h + 2. Let c be v(4). Let p = -31 - -28. What is the remainder when 29 is divided by ((-2)\/p)\/((-20)\/c)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1553867, 3107764, 4661661?\nAnswer: 6215558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h**2 - 1. Let i be m(1). Let d = -3 - -4. Suppose -s = -2 - d. Calculate the greatest common divisor of i and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5900 and 4920?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*30\/(-350)*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042276 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/((-52)\/52).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1 (b) -3 (c) 2\/7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1101000011010011111011?\nAnswer: -1101000011010011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**2 - 2*j - 1. Is 8 a factor of v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 4*z + 3. Suppose 0 = -2*o - o - 15. What is p(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 1. Suppose -5*y = -18 - 2. Let s be -1 - 3 - (-14)\/4. What is the closest to s in y, 2\/9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**5 + 30*a**3*m**2 + 101*a**2*m**2 + 8*a**2 wrt a?\nAnswer: 120*a**2 + 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*j - 98*j + 211*j - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37a (base 12) to base 14.\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32360 and 12037920.\nAnswer: 12037920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 - 13*f - 3. Let q be 3 + ((-6)\/(-12) + 1)*-6. Calculate w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/10 and 99\/8254270?\nAnswer: 8254270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 74200.13ug?\nAnswer: 74.20013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1\/(r\/r**(-3\/7)*r)*r**3*r**(1\/3)*r assuming r is positive.\nAnswer: r**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/9)\/d)\/((d*(d*d\/((d*d*d**(1\/3))\/d))\/d)\/d))**32\/((d\/d**(-1\/3))**(1\/11)\/(d**3*d*d**(-1))) assuming d is positive.\nAnswer: d**(-1123\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 106?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x**2 + 352*x + 264192 = 0. What is x?\nAnswer: -1376\/9, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85027?\nAnswer: 85027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1997358 divided by -25?\nAnswer: 1997358\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 divided by -8?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/5 - 11*i**2 - 58*i\/5 + 112\/5.\nAnswer: (i - 56)*(i - 1)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 20 = 0, j + 2*p - 19 + 3 = 0. Find the common denominator of (j\/(-6) - -3)\/(14\/(-66)) and -38.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8790\/(-420) + 21 + 55\/14. Let z(w) be the first derivative of -12*w**3 - 4\/5*w**5 + 14*w**2 + 5*w**4 - 8*w - a. Factor z(k).\nAnswer: -4*(k - 2)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 take away 826183642?\nAnswer: -826183600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 953751 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1)**(-1\/15)*(j*j*j**0)**(1\/10) assuming j is positive.\nAnswer: j**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35545 = 229*p - 230*p + 4*n, -5*n = 4*p - 142264. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136128 divided by -3?\nAnswer: 45376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2115973 to 3 decimal places.\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 202333 (base 4) to base 2\nAnswer: 100010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/14*15\/(240\/(-56))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 2*p**2 - 5*p**2)*(-4*p**3 + p**3 + p**3) - 9*p**3 - p**5 + 19*p**3 + 9*p**3.\nAnswer: -3*p**5 + 19*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -3*l + 40, -200 = -4*c - 5*l - 155 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(2\/49))\/i**(-16) assuming i is positive.\nAnswer: i**(835\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + 0*j**2 + j**2 + (j**2 - 3*j**2 + 4*j**2)*(1 - 3 - 3))*(1 + 0 - 3)*(-5*j - 3 + 3) - 2 + j**3 + 2 to w*j**2 + h*j + m + r*j**3 and give r.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5, 131 in decreasing order.\nAnswer: 131, 15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51557268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g + 5*g = 8*g - 37 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/61)\/(c**(-5)*c)*(c\/c**(-6))**(-26))**19 assuming c is positive.\nAnswer: c**(-206340\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, i: 3}. What is prob of picking 3 j?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72894\/11 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(833)*1*2 + sqrt(833))**2 + -1 + 5)*-3.\nAnswer: -22505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011579016 to 3 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 157474 and 158045 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011011101100111010 (base 2) to base 5.\nAnswer: 244141132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65, 120, 175?\n\"Answer: 55*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*k**3 - 37 - 33 + 70.\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 96*o**2 + 636*o + 63. Give i(-7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.05.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3616 or -3877?\nAnswer: -3877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 20, -3*o + 200 = 2*q - 0*o. Let g = -56 + q. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Find the third derivative of 4*h**2 + 3*h**5 + 0 + u wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147973890 to the power of 1\/3, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*w - 5)*(-3 - 2 + 6)*(4*w**3 + w**2 - w**2) + 1127*w**4 - 50*w**4 + 184*w**4.\nAnswer: 1253*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -897725.\nAnswer: -897725.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18853.522 + -18871. Round q to 1 dp.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1178136383?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -1\/3, -0.6 in decreasing order.\nAnswer: 0, -1\/3, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*a**4 + 2 + 4*a**4 - 6 - a**2 in the form y + x*a + u*a**2 + r*a**4 + c*a**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30ca0 + 8?\nAnswer: 30ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*x = -2, -2*p + x + 2*x = 10. Let s = -1 - p. Suppose 2 = 4*q - l, 3*q - 4*l = -0*q + 8. Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756653 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360425968?\nAnswer: 2, 7, 379, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 244\/6 + (8 - 96\/9)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 y, and 1 m when three letters picked without replacement from {i: 3, y: 6, m: 2, e: 3, g: 1}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) + 22\/10. Suppose -x + 4*x + 3*q = 48, -f*x = -2*q - 40. Let u = 248 - 216. What is the remainder when u is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27742 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 224 = 4*b + b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 458736 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 + 1010010101100011110?\nAnswer: 1010010101011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1310311 + -13012?\nAnswer: 1231233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(0 - 6\/69) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (3 - (0 - 6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 11:10 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -223, -323, -423, -523?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 9*w - k - 45758 = 0, -3*w - 4*k - 34312 = 0. What is w rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -4, 22\/7, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - i + 1. Let j be u(10). Suppose -4*h - j = -3*l - 1294, 0 = -2*l + 6. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = -104*p + 111*p. What is the least common multiple of 182 and p?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmwr when four letters picked without replacement from {y: 1, q: 3, r: 2, w: 4, g: 2, m: 3}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669481697 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 7*l**3 + 5*l + 2. Let h(f) be the third derivative of f**6\/20 + f**4\/6 + f**3\/3 - 17*f**2. What is 5*h(n) - 4*j(n)?\nAnswer: 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00016192 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1305339636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 + 0*t**2)*(t**2 + t**3 - t**2) + (2*t + 5*t - t)*(t - 2*t**4 - t).\nAnswer: -10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817576, 1635161, 2452746, 3270331, 4087916?\nAnswer: 4905501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-4 + (sqrt(2) - (sqrt(14)*4)\/sqrt(7)))*6)**2 + -1)*-4.\nAnswer: -4524 - 3168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7260)*-1)\/(sqrt(12)*2*4).\nAnswer: -11*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/6)\/((-456)\/(-380)*(-10)\/32).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 18662637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + (1*sqrt(13) + -4 - (1 + -1*sqrt(13)) - (sqrt(208) - 2*(sqrt(208) + -2))**2)).\nAnswer: -204*sqrt(13) + 1374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 66 = q + 2*q, 0 = -4*q - 3*i + 71. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 579.985 centuries?\nAnswer: 57.9985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:12 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = 5*i + 32, 4*i + 58 = 2*g. Suppose 0 = -3*l + 15, 0 = 1443*f - 1448*f - 3*l + 1500. Calculate the highest common divisor of f and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 14*w**2 - 10*w + 9. Suppose -4*d + 18 - 74 = 0. Is p(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*y**5 + 24*y**4 + 2*y**2 - 1785*y?\nAnswer: 80*y**3 + 288*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + a - 23 = -34, 7 = -2*c - a. What is the closest to 2\/27 in 0.3, 2, -0.09, c?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/18 + -2 + (-2275)\/(-9).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**3 + 3*d**2 + 35*d + 1. Let q(n) = 29*n**3 - 17*n**2 - 214*n - 7. Give 3*q(s) + 17*r(s).\nAnswer: 2*s**3 - 47*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 94 + -93. Let t be (10 + h - 6) + 0. Let q be (-9)\/6 + 2\/4. Is t equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j - 20 = -5*g, -2*g = -3*j - 8. Solve -2*a + 10 - 2 = j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 42*x - 53*x + 46, 5*w = -x + 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 8)*-957 - 7. Suppose -210 = -955*d + v*d. Solve d*j - 16 = 38*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + sqrt(208) - sqrt(52)) + 3 - ((sqrt(117) + sqrt(117) + (sqrt(117) + sqrt(117) + -3*sqrt(117))*1)\/(-3*sqrt(144) + sqrt(9)))**2) + -5.\nAnswer: -255\/121 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106333065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-165))\/(2\/(-10))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 35 - 53 = 0. What is the least common multiple of l and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10086501917 - -819?\nAnswer: -10086501098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.1265 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -57, -33, 9, 75?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 8*b = -4*x + 26, 8 = 4*x - 4*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20045, -40067, -60089, -80111, -100133, -120155?\nAnswer: -140177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2683030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -13) + -3 - ((-24 - (12 + 24)) + 22)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 11:50 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*r + 65*r - 8650 = 2919 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31469, 57658, 83835, 109994, 136129, 162234, 188303, 214330?\nAnswer: 240309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 490 + (4 - 9) + -3 + -2. Calculate the greatest common divisor of 30 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 1 - 1)*(-69853 - 53483 - 3955 - 113556 + 13283 - 27527) as c + o*z and give o.\nAnswer: 510182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3574612 or -3574552?\nAnswer: -3574552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1832.003.\nAnswer: -183.2003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9185850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, i: 3, v: 1, g: 4}. What is prob of sequence vgi?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 18. Calculate k(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1265\/(-16698)*(5\/(-15))\/((-5)\/(-9))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.021 + 0.021. Let f = x - -10.4. Let z = -6.4 + 6.2. What is the third biggest value in -0.06, z, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + a?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501458954.\nAnswer: 2, 67, 3742231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 759 = 2*u + 201. What is the units digit of u\/6 + (-5)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 11) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6)\/12 - (-17)\/2 and (-2 - -16)\/1 + 3.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+0.31262769\nAnswer: 1.31262769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/297 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/7, 0.4, 2, 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 = 4*y. Let v = 81\/44 - 12\/11. What is the third smallest value in v, -4\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20416 and 10016832.\nAnswer: 110185152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) 0 (c) -100 (d) 3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -5*y - 1\/20*y**5 - 2\/3*y**3 + 0 + 13\/12*y**4 - 7\/2*y**2. Is h(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42006, 42008, 42010, 42012, 42014?\nAnswer: 42016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i + 765 = 128. Solve 2*f = i - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*n + 21. Suppose 5*f - 34 = n*f. Let b = f + 32. Calculate the highest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6342612 + -2?\nAnswer: 6342610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 248 - -572. Suppose 135*a = 130*a + t. Suppose -7*v = -9*v + a. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 40*r**2 + 8 - r**2 - 2*r**2 + 5*r**2 + (0*r + r + r)*(-5*r + 2*r + 2*r) - r**2 - 2*r**2 + r**2 in the form f*r**2 + i + a*r and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*t + 16, 4*t + 3*k = -2*k + 16. Suppose t*u + 17 = -23. Is -10 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34928 + -24318. What are the prime factors of n?\nAnswer: 2, 5, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 + (-4)\/(-14). Suppose p - 3*p = o. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven quarters of a centimeter?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h - 76. Suppose -3*q + 42 = -4*d, -10 = -2*q + 3*d + 19. What is the remainder when h is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33 - 203130556?\nAnswer: -203130523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 726 + -368. What is the least common multiple of r and 1?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 105*c**2 - 103*c - 320. Determine s(106).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5347 is divided by 458.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 11. Let s be w(-15). Put -3, s, 5 in descending order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*z - 3 + (7 + 1 + 1)*(5 - 3*z - 5))*(4 - 6 - 2).\nAnswer: 96*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5832 and 5832?\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 13*d + 3. Let w be x(12). Let t = 15 + 28. Suppose -4*b - w = -t. Calculate the greatest common divisor of b and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 = -4*t + 28, -4*t = 5*j - 55. What is the greatest common divisor of t and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 75.75835 millennia?\nAnswer: 7575.835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479260 is divided by 15460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from hhhowhppohppoopoh.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**3*v**2 + 10890730*j**2*v + 7945*j*v**2 + 10*j*v + 55*j - 3*v**2 wrt j.\nAnswer: -6*j*v**2 + 21781460*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.154 + 0.154. Let g = -40.00059 - z. What is g rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1540 - -1604. What is the remainder when 189 is divided by p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 138840219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*k**2 - 17*k**2 + 4*k**2 + k**3 - 4*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/18)\/(-8) - (-652)\/18. Suppose 2*i - 3*f + 4 = 0, 7*i - 2*i + 4*f - v = 0. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 6*f - 24. Suppose -6*w - f = -12*w. Let l = 2 - -1. Solve 3*d + 2*d = l*v + 20, -w*v + 20 = 5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36186171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -8 - (11 - (0 + -9))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 < 378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*n**3 - 6*n + 2*n**2 + 5*n**4 - 12*n**3 - 4*n**2 + 4 wrt n?\nAnswer: 60*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 54635*m. Let l(g) = -35*g**2. Determine k(l(h)).\nAnswer: -1912225*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*t + 54*t - 208. Which is the third smallest value? (a) 3\/5 (b) -1 (c) 2\/21 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 7 = 3*j - 8, -5 = 5*t - j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033963 rounded to 6 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 182*w - 178*w + 37759 = 0, -5*c = -4*w - 62937. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -48, 1, 2\/11, 8 in ascending order.\nAnswer: -48, -2, 2\/11, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7367 (b) 10\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/sqrt(3))\/sqrt(10)*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u. Suppose -187 + 27 = -20*r. Solve -4*b + 4 + u = -3*p, 3*b = p + r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iknhxkxxhxxhkk. What is prob of picking 1 x, 2 k, and 1 n?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 - (132\/28 + -5). Let k(i) = -i**2 + 9*i - 3. Calculate k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -460\/3, -4\/13, 30, 1\/2?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 31*x - 2. Let f(o) = -2*o + 16. Let p(u) = -16*u + 64. Let l(z) = 12*f(z) - 3*p(z). Calculate h(l(r)).\nAnswer: 744*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3060842*r**2 - 1 - 5*r - 1 - 10139155*r**2. Let z be g(2). Round z to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 452, 451, 450, 449, 448?\n\"Answer: -d + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 + -2143014?\nAnswer: -2142324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2356.6 + -2357. Which is the closest to 2? (a) -1.2 (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 71*d**2 + 52320*d. Let u(y) = 6*y. Give c(u(f)).\nAnswer: 2556*f**2 + 313920*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -3, 1\/15, 80, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 486816 by 8.\nAnswer: 60852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18916926 or -18916923?\nAnswer: -18916926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*l = -21, 5*d - 3*l + 16 = 4*d. Let h(a) = 3*a + 2. Let n(y) = y. Calculate d*h(w) + 4*n(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34 + -1 + -5 + 5. Let q = 22 - b. Let i = q + 12. Let c(g) = 2*g**3 - g**2 + g - 1. What is c(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*j + 2725 = 0, -n + 4*j - 318 = -3022. Suppose -4*z = 5*u - n, -5*u + 8*z - 7*z = -2721. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 1:47 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5\/5 - 976*g**4\/5 - 98082*g**3\/5 + 204004*g**2\/5 + 78472*g - 160080 = 0.\nAnswer: -345, -145, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 4, 2, 0, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*g + 33*g - 371 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 2:13 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65.83 - 65. Let j = v + 3.17. Which is the third biggest value? (a) -4 (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000260322138 rounded to seven decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 540710119*y**5 + 207227136*y?\nAnswer: 10814202380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**4\/6 + 4*w**3\/3 - 21*w**2 + w - 27. What is u in l(u) = 0?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1.1, 1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -182750000 rounded to the nearest 1000000?\nAnswer: -183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 351934*m - 2463539. Give o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 99*p**3 - 5*p**2 + 2*p + 2. Let i(y) = -97*y**3 + 7*y**2 - 3*y - 3. Calculate -3*c(x) - 2*i(x).\nAnswer: -103*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.0476 - -6.04761. Let h = 4 - 9. Let n = h - s. Round n to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 17. What is the units digit of 1\/(m\/(-12)) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -330*f + 28050. Calculate s(86).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 3*t - 3. Let d be h(-4). Let g be (-9)\/(-2)*(145\/(-15) + 3). Let z = g + d. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a - 13. Let q be n(-4). Suppose -v = 2*z - 5 + 8, 4*z + 3*v = -q. Let c(x) = x**3 - 3*x**2 + x. What is c(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -426 + 422. What is the units digit of -5 + (-385)\/(b + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -73. Let w = x + 15. Find the common denominator of (w\/25)\/(16\/70) and 99\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 17}. Give prob of sequence pp.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 5 + 5 + 4 + 2*i - 4 + 3*i - 2*i - 3*i + (0*i + i + i)*(3 - 7 + 2) + 3*i - 7*i + 3*i + (2 + 1 - 1)*(1 - 1 - i) + 2*i + 2*i - i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/922223, -3, 35?\nAnswer: -1\/922223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 2691109.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -478 + 482. Let i = -9.89 + n. What is i rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219926 and 644.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 2\/3 (b) -0.02 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4547 - -4438 - (4 + -5 + -25).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**4 - 2*g**3 + 4*g**2 + 2*g. Let f(p) = -p**4 - p**2. Let h = -9 + 15. Let u(b) = h*f(b) + r(b). Solve u(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 18*i - 16. Let r be x(-17). Let y be (-1)\/(r + (-24)\/20). Suppose y*c - 5*d = 315, -104 = -2*c - 3*d + 42. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 8:30 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4386*i**2 + 12114*i**2 - 930*i**2)*(2*i**3 - 2*i**3 + 2*i**3) + (-5 + 1 + 5)*(-i - 2*i**5 + i).\nAnswer: 31138*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - g - 1. Let m(o) = -44*o**2 + 14*o + 12. What is 22*b(f) + 2*m(f)?\nAnswer: -44*f**2 + 6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*j + 2 + 21, 9 = 2*t + j. Suppose -t*m - 35 = 4*k - 9*k, 0 = -4*m - 16. Suppose -3*h - 2*p = -1187, 8*p - 3*p = -k*h + 1181. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 31*i**2 + 18*i - 9. Let h(s) = 11*s**2 + 6*s - 3. Let o(f) = -5*b(f) + 14*h(f). Let k be (-1 + 2)\/((-2)\/10). Give o(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000695931198 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30884*d**3*l - 10*d**3 + 1788*d**2 wrt l?\nAnswer: -30884*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2279, 2276, 2273?\nAnswer: 2270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04712385 to three decimal places.\nAnswer: 0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 63393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from ddpdmtmd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express k**2 - k**2 + k**3 + (-8 + 5*k**2 + 8)*(0*k + k - 3*k) + (0 - 5 + 2)*(-6*k**3 + 3*k**3 - 4*k**3) as i*k**2 + c + z*k + p*k**3 and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392820947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nz when two letters picked without replacement from awaznuxxz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-274)\/7*14\/(-2). Let o be (-219)\/6*n + 1. Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 - 201*j**2 + 481*j + 835. What is p(98)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-17)\/(-204170)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -9, 628, -26 in increasing order.\nAnswer: -26, -9, -5, -4, 628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (23 - (-21 - -20)) - 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 greater than or equal to -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.02, -8.\nAnswer: -8, -4, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -2 - 29\/9. Which is the second smallest value? (a) x (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.6 (b) 0.088 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 10, -4, -1.02, -0.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5038437187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = -2. Let u(x) = -x + 7*x - 1 - 2*x. What is u(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20.5 - -20.894. Let d = -178.606 - c. Let r = 178.99999927 + d. What is r rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*b - 2*l, -3*b + 0*b + 4*l - 57 = 0. Let v = 13 + b. What is the remainder when (7*-3)\/(v\/4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - r = -6*r, 0 = -5*l - 3*r - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = 67 + 23 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/((v*v**(1\/4))\/v))**34\/((v*(((v*v**(-2\/5)*v)\/v)\/v*v)\/v)**45*v**(5\/4)*v\/(v**(3\/5)*v)) assuming v is positive.\nAnswer: v**(3357\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 2*t**2 - 22*t - 20. Determine p(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1612 divided by 13\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 154143, 154146, 154151, 154158, 154167?\n\"Answer: x**2 + 154142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6618033913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7185 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -7) + -21 - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -167, -171, -175, -179, -183, -187?\n\"Answer: -4*d - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**7\/1365 + s**6\/260 + s**5\/130 + s**4\/156 - 3*s**2. Factor t(h).\nAnswer: 2*h*(h + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447800 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-12 - -3) + 22*(1624 - (-1 + 12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/7 - 564*v\/7 + 160.\nAnswer: 2*(v - 280)*(v - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3094, -3236, -3378, -3520, -3662, -3804?\n\"Answer: -142*b - 2952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 26. Let o be 2 + (-6 - r) + 3. Let v = -75 + 79. Sort v, 1, o in descending order.\nAnswer: v, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2578 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: Suppose 0 = 2*u - 12*u + 300. Suppose 0 = -3*m - 4*w + u, 3*m - 27*w + 25*w = 48. What is the greatest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - (-4 + -5 + 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/39, 5, 1, 6\/5, -2\/21, -1\/4 in ascending order.\nAnswer: -1\/4, -2\/21, -1\/39, 1, 6\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 3*s + 96, 3*u - 14129654 = -5*s - 14129478 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**6\/120 + g**5\/30 - g**4\/8 + g**3\/2 - 7*g**2. Let m be v(-3). Solve -m*x = -8*x + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**4 - 2*h**4 - 2*h**4)*(3 - 5 + 3) + (-5 + 3 - 1)*(-10*h**4 - 15*h**4 + 40*h**4).\nAnswer: -44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t + y - 5, -2*t + 2 = -y. Which is the closest to t? (a) 0.2 (b) -2\/13 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0.047, 4 in decreasing order.\nAnswer: 18, 4, 0.047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*w**3 + 111*w**3 + 186*w**3.\nAnswer: 516*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59634?\nAnswer: 2, 3, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4\/x**(-1))**16\/((x*x**4)\/((x*x**(-6))\/x)*((x*x**(-2\/5)\/x)\/x)**38) assuming x is positive.\nAnswer: x**(611\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 7. What is the highest common factor of 48 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 4*p - 632, 2*r + p - 322 = -0*r. Let f = -2894 + 2914. What is the greatest common factor of f and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -35159*y + 5. Let u be l(1). Let f be -5 + 0 - u\/7038. Is 0 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23c - -194?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.2 * -5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -586*k - 11. Is t(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 - -214.6. Let s = r - 215.000001413. Round s to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 341c665?\nAnswer: 341c66a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w + 2. Let p be 4\/(-8)*(-4810)\/w. Suppose 6096 = -5*s + 4*o, 0 = -4*s - 5*o - 2480 - p. What is s rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1118 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(-2 + (sqrt(1300) - (-2 + sqrt(1300))) - (sqrt(1300)*-3 + -5)))**2.\nAnswer: 30000*sqrt(13) + 1172500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*5 + (sqrt(30)\/(sqrt(216) - sqrt(6)) - sqrt(5)).\nAnswer: -5 + 21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 33*h + 1. Let u be j(0). Which is the nearest to u? (a) 5 (b) 1 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hbo when three letters picked without replacement from {o: 2, b: 7, h: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7757 - -92969\/12. Calculate the common denominator of 19\/69 and m.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539473.6mm to centimeters.\nAnswer: 53947.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*c + 9, i + 2*c = -0*c + 3. Suppose n = -3*g + 5*n + 166, 0 = i*g - n - 172. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-128)*238\/(-357).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 135*g**2 - 6*g - 5. Suppose v + 24 = 20. Is p(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r + 5. Let g(q) = -q + 2. Let v(o) = 5*g(o) - 2*u(o). Calculate v(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546*v = 22*v + 107049532. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 5) to base 8\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (1 + 6) - (12 - 4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19005787?\nAnswer: 4129, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l**2 - 2*l + 9. Let v(m) = -4*m**2 - m + 4. Let i = 0 + -5. What is i*v(j) + 2*d(j)?\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 169934, -0.07 in increasing order.\nAnswer: -4, -3, -0.07, 169934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-88)*(-6 - 0). Let x be (-26)\/(-4) + (-1)\/2. Suppose 3*o = -d + 4*d - 345, -x = -u*o. What is the highest common divisor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -841482, -841485, -841484, -841479?\nAnswer: -841470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 14*m - 19*m + 42*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 63859962791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4250 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 26132 and 0.059.\nAnswer: 26132.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i + 4*q - 80 = 0, -2*q - 224 = 5*i. Is (-22)\/i - 313\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f - 1 - 2*f)*((-4*f + 5*f - 3*f)*(-1 - 2 + 2) + 2*f - 5*f + 2*f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + 13*m - 36*m + 6*m + 515 = -9*m, k - 3*m = -180 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 + 3*b**2 + 38*b + 115. Calculate m(-3).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 249 + -123. Let b = 178 - l. Find the second derivative of 52 - b - 4*j**2 - j wrt j.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 10*u + 3. Suppose 235 = 13*o - 155. Suppose o = -4*z + 3*n, -5*n - 14 = 2*z + 14. Calculate j(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*l**4*v + 14*l**2*t*v**3 + 20*l*t*v**3 - l*t + 2*l*v**2 + l*v wrt l?\nAnswer: 72*l**2*v + 28*t*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*m = 4147 - 1123. What is the remainder when 115 is divided by m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121673820 and 567811160?\nAnswer: 1703433480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -508\/753 - -2\/251. Let n = 3.499 - 0.499. Which is the nearest to 0.3? (a) n (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5831381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 138768.5t in grams?\nAnswer: 138768500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-38)\/(-12) - (4 + (-46)\/12). Let s(n) = 29 + 23 - 76 - m*n + 25. Suppose -3*y + 2 = -2*y. Determine s(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359900*w = 359857*w + 129 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7*2\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y**2 - 19*y - 8*y + 24*y + 32*y**2.\nAnswer: 16*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -25*l - 28. What is the nearest to l in -1, -2\/7, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1168)\/(-234) - ((-25 - -118) + -88)?\nAnswer: -1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wazwwwvzza. What is prob of sequence wzww?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + 1) - ((sqrt(45) - sqrt(5)) + -5)**2.\nAnswer: -48 + 17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (-9)\/(-3) + 7. Let t be (2\/h)\/(3\/9). Let s be -3 + 3 + t - -1. Solve -4*k = -s*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**2 - 85943*j - 384581 wrt j.\nAnswer: -10*j - 85943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 177193*l**3 - 3*l**2 + 31557 wrt l?\nAnswer: 1063158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54820 divided by 10?\nAnswer: -5482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269904866153 - 269904860318.03250519. Let s = 5913.967496 - j. Let w = s - 79. Round w to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 4*f - 30 = 3*z, -3*f - 15 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5, 6, 39, 106, 219, 390?\n\"Answer: 2*k**3 - k**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bshbbjtthjhtijbhh.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5333*g*t - 7081*t + 1 wrt g.\nAnswer: -5333*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/9, -27209, 3\/4, -0.1 in decreasing order.\nAnswer: 3\/4, -0.1, -8\/9, -27209","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 21661 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.988788 years to centuries.\nAnswer: 0.08988788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -600 in -498, 3, 0.1, -5, 1?\nAnswer: -498","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 291*g**2 + 4 - 4 + 212*g**2 - 151*g**2. Let m(c) = 6*c**2. Calculate m(u(r)).\nAnswer: 743424*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10769307 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -7) + (-54 - -17) - -19 - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, -93, 0.3 in decreasing order.\nAnswer: 0.3, -4, -26, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/499?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/18)\/(2\/(-1371)). Let t = y + 3749\/8. Let x = 2\/3627 - -61619\/72540. What is the common denominator of t and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 10:55 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*q**2 - 103*q**2 + 51*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 4 - 3 + 3 + 3*n. Let x(m) = m**3 + m**2 + m + 1. Determine f(p) - 3*x(p).\nAnswer: -3*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1409 + -398. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*b - 0*z - z, b - 3*z = 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**4 - 32*z**3 - 101*z**2 - 120*z - 48. Let o(u) = 6*u**4 + 65*u**3 + 203*u**2 + 240*u + 96. Let y(m) = 5*g(m) + 2*o(m). Factor y(s).\nAnswer: -3*(s + 1)**2*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*y**2 - 9*y**2 + 124*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -11. Let o(z) = 3*z + 18. Let d be o(-9). Let s = d + l. Solve -g - 25 = s*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 3, -0.2, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9544064.4 minus -306.493?\nAnswer: -9543757.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (0 - 0)\/(-2). Let z(p) be the first derivative of 13*p**3\/3 - 4*p**2 + 20*p + 353. What is the hundreds digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/78 - (-100)\/26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*h - 38*h - 494*h = -155 - 9265 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c = -3*v - c, 0 = 2*v + 3*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17011 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29678 and 241186?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 12*m + 36. Let f = 5979 + -5973. Determine p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {l: 2, m: 4, f: 2, q: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9947839?\nAnswer: 11, 17, 53197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 15*m**2 + 19*m + 29. Give b(-14).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -34. Let f = 0.3 - 0.1. What is the nearest to 0 in 0, f, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*c = -1408, 4*m - 753 = -c + 4845. Suppose 9*s = -s + m. Suppose 4*v = -2*z + 130, -5*v + s = -0*z - 5*z. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 8 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2 = -10. Suppose 5*k + r + 8 = -2*r, 0 = -w*k + 5*r + 3. Let o(v) be the first derivative of v**3 + v**2 + v - 1. Calculate o(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100654, -201294, -301938, -402586, -503238, -603894?\nAnswer: -704554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-2) + 3 + -3. Let k be q\/(-1 - -4) + 42. Calculate the greatest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -658, -5343, -18056, -42811, -83622?\nAnswer: -144503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*j**3 + 584099*j**2 - 1605*j - 2467 wrt j?\nAnswer: -84*j + 1168198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*a + 7. Let x(q) = q**2 - 7*q + 4. Let y be x(a). Let h(d) = -7*d**2 + 4*d - 7. Let b(u) = -3*u**2 + 2*u - 3. Give y*h(j) - 9*b(j).\nAnswer: -j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of 27\/2*u**2 - 17\/24*u**4 - 31 + 0*u - 5*u**3. Let n(w) be the second derivative of o(w). Differentiate n(r) wrt r.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmoou. What is prob of sequence ou?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/5)\/(6\/620). Let b = j - 55. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**5\/20 + 5*u**2\/2 + 7*u. Find the first derivative of q(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.95 + 0.05. Let l = -259 - -263. Which is the closest to 9? (a) l (b) -0.4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 5*a**2 + 6*a - 9. Suppose -5*y + 4*y = -4. Let u be w(y). List the prime factors of 0 + 107 + (2 - 3)*u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*p)*(-1 + 5 - 3)*(0 + 3 - 2) as r + n*p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 2*i - 3. Suppose -2*b + 30 = -2*q, 848*b = 847*b - q + 7. Calculate the remainder when c(-2) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -11*a**3 + 12*a**2 + 1. Calculate q(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -19*t + 88800. List the prime factors of t.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -30. Suppose l = -3*u - 4*w + 20, -4*u = -u + 2*w - 10. Suppose n + u*y = -5*y + 55, n = 4*y + 10. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.5, -0.4, -11289, -9.\nAnswer: -11289, -9, -0.5, -0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15159.89 - 15159.9919747. Let m = s - -0.102. Round m to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341.9 + -342. Which is the nearest to p? (a) -9 (b) 0.3 (c) -0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -x**5\/15 + x**3\/9 - 3. Factor q(m).\nAnswer: -m**2*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -42.1. Let x = -23.1 + c. Let d = x + 25.965. Round d to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286*-0.031508.\nAnswer: -9.011288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4)*g)\/((((g*g*(g*g\/g**(3\/5))\/g)\/g)\/g)\/g))**(-8)*(((g*g**(-5))\/g)\/g**(-4))**(-41) assuming g is positive.\nAnswer: g**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -6 + 12 + -1 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-222)\/(-4))\/(9\/60). Suppose 5*j - x - u = 0, -5*j - 2*x + 370 = -0*x. What is the remainder when 367 is divided by j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (30 + -57 + 12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -30.228. Let z = u - -0.5272. Let r = z + -0.3. What is r rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/3*k**2 + 2\/3*k**4 + 2*k**3 - 24 - 34*k.\nAnswer: 2*(k - 4)*(k + 1)*(k + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 - 13*i + 4. Let n(j) = -9*j**2 + 25*j - 9. Let f(l) = -11*a(l) - 6*n(l). Let g be f(-8). What is the derivative of -2 + 6 - 3*k + g wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 89407578 and 253.\nAnswer: 983483358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t + 2*k - 2 = 0, -2*t + 4*k - 4 = 0. Let l(f) = 3*f + 1. Let j be l(-1). Let x = -0.319 + 0.319. Which is the closest to x? (a) j (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - 698*m - 11. Let y(j) = 11. What is u(z) + y(z)?\nAnswer: 4*z**2 - 698*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/21 and -3030913 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1861284 or -1861297?\nAnswer: -1861284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 4*q**5 - 2*q**5 + (-3*q**4 + 4*q**4 + 0*q**4)*(4*q - 2*q + 3*q)*(-1 + 1 - 2).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/375*5*(-70)\/8?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**2 + 76*t + 163. Let y be a(-5). Let m(n) = -5*n. Give m(y).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-912)\/(-160)*(-60)\/45*(-4)\/(-8).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 690 = i, -2*z + 81 = 3*i - 212. Sort -1, 1, z, 3 in descending order.\nAnswer: z, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(((sqrt(1377) - (4 + sqrt(1377) + -1)) + sqrt(1377) + sqrt(1377) - (sqrt(1377) + -3 - sqrt(1377))*-1)**2*-3 + -3).\nAnswer: -16632 + 648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 100787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-108)\/40)*18\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**8\/6720 + z**7\/504 - z**6\/120 + 22*z**4\/3 + 13*z - 3. Let j(v) be the third derivative of p(v). Solve j(x) = 0 for x.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 7 = -5. What is the third derivative of 8*f**3 + 73*f**c - 68*f**2 + 3*f**3 wrt f?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 - 5*s - 10. Let k be y(-3). Let f(z) = 0*z - 14*z + 3*z + z**2 + 3*z + k. What is f(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 12. Determine n(8).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, d: 1, s: 1, w: 3, g: 5, i: 2}. Give prob of picking 2 w and 1 s.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/9 + 9844*m**2\/9 - 12132706*m\/9 + 48373448\/9.\nAnswer: -2*(m - 2459)**2*(m - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btyy when four letters picked without replacement from kkykbkbbkytktukkk?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/81 - (-1)\/(-3). Suppose -t + 494 + 1437 = n. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1709921983.5 + -939?\nAnswer: 1709921044.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmcammanmccmll. Give prob of sequence lc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4021269?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 50249415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 8 = -3*k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1719288554?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -1, -17, -2 in decreasing order.\nAnswer: -1, -2, -17, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/12 and 17\/398.\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/5 + 4\/20. Suppose -m*g + 5*y + 132 = 42, -4*g = 2*y - 42. Suppose -4*t + 3*t = -g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41433 (base 6) to base 12\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*b - 14, -14 - 9 = 5*o + b. Let j be -18 + (-3 + o)\/(-4). Let a = -9 - j. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38a (base 12) to base 10.\nAnswer: -538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-277 - -6)\/(1\/(-82)). Let k be ((-108)\/8)\/(1\/v). Let r be 2 + -6 + 1 + k. Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.993166 rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.07*4\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-500)\/820)\/(-25))\/(((-15)\/40)\/(9\/(-12))).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654953375.\nAnswer: 5, 5239627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6134049 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-584)\/(-368) + (67\/23 - 3)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/(-26)*(-1740)\/(-210)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -1\/5 (c) -3.5 (d) 159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1563 + 1.1563. Let t = -21 - -26. What is the nearest to -2\/37 in t, -0.5, -2\/17, x?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 15*o - 20. Let y(v) = -v + 1. Suppose -5*d = 3 + 2. Calculate d*n(x) - 20*y(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7730 + -7733. Which is the biggest value? (a) 0.4 (b) 17 (c) r (d) 4 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2746, 2763, 2780, 2797?\nAnswer: 2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(1\/4)*g)\/g**(-2\/3))\/((g**1*g)\/g**(-2\/3)))**(5\/3))**(16\/5) assuming g is positive.\nAnswer: g**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2535826 divided by 2647.\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let n(k) = -k**2 - k. What is 3*n(z) - t(z)?\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31037 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t + 6. Let j(p) be the first derivative of 7*p**2 + 18*p - 1. Let l(b) = -8*c(b) + 3*j(b). Let q = -13617 + 13612. Give l(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 86*j**2 - 8166*j - 380. Calculate u(95).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59 - 83. Let q = 31 + x. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1083 divided by 16\nAnswer: -1083\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**5\/20 + 5*w**4\/6 - 11*w**3\/6 - 9*w**2\/2 - 2*w - 80. Determine q(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14 and -16.0715968.\nAnswer: -30.0715968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/11 + 2864*d\/11 - 2862\/11 = 0.\nAnswer: 1, 1431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 2 (c) 0.1 (d) -2 (e) 14.9 (f) 75.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -710, -774, -894, -1088, -1374?\nAnswer: -1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 253944.\nAnswer: 1269720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (30 - (22 - 27))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8672 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - p**2 - 7*p + 5. Let d(g) = -g**3 - g**2. Let j(z) = c(z) + d(z). Is 9 a factor of j(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p + 0*p - 3*p + (2 + 0 + 2)*(3*p + p - 5*p) to x + u*p and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105980480 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + 3 - 0) + 5. Suppose 3*w - p*x + 4*x - 88 = 0, 5*w - x = 138. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:08 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyy. Give prob of picking 4 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + 2 - 6)\/((-3)\/(-15690000)). Round m to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 divided by 3?\nAnswer: -155\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7197 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1266 - 1249. What is the smallest value in p, 0.3, 7\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1697 is divided by 289?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/15 - 2014024*y\/15 + 671342\/5 = 0. Calculate y.\nAnswer: -1007013, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 2*u**3 + 9*u**3 + 12*u**3.\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-2 + 0 - (21 + -24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -8*s - 2*s + 8*s - 34 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/((-2*sqrt(18))\/sqrt(3)) - (-1 + sqrt(48) - ((0 + sqrt(3))**2 + 1 + sqrt(3))).\nAnswer: -7*sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1534*f**6 - 536*f**4 - 1220989*f**2.\nAnswer: -184080*f**3 - 12864*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1*n)**(-25))**(-28)\/((n**(1\/10)\/n**5)\/(n**(-1\/3))**(1\/22)) assuming n is positive.\nAnswer: n**(116306\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*q + 5, 2*q = -4*y - 0*q - 14. Let j = y - -11. Solve -5*h - 4*g + 7*g = -8, 2*h + j*g = 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6926 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -781025 (base 10) to base 15.\nAnswer: -106635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2 + 2\/1. Let b = 7 - 4. Suppose 5*g - 6 - 7 = 3*j, j - 7 = -4*g. Solve -g*f + p = -b for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*s = 4*y + 1, -3*y - s = -18. Suppose 59 = y*v - 91. Calculate the greatest common divisor of v and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*d**4 + 67*d**4 - 7*d + 2*d**5 - 19*d**4 - 21*d**4 wrt d.\nAnswer: 40*d**3 - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 4*b + 0*b + (-3*b + 2*b - b)*(-2 + 3 + 3))*(b**2 + b**2 + 5*b**2) in the form i*b + v + f*b**3 + w*b**2 and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18*(-30)\/(-80) + (-3)\/4. Is 3\/n + 4491\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m. Let v(j) = 33*j - 13. What is h(v(i))?\nAnswer: -231*i + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -4. Let h(b) = m*b - 7*b + b**2 - 5 - 6. Calculate h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114664 and 616?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k = -24*k + 774. Let o = 127 - 83. Calculate the smallest common multiple of k and o.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77208 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (309*w + 163*w - 136*w)*(0*w**2 + w**2 - 4*w**2) + 6*w - 6*w + 4*w**3 + (1 - 2 + 0)*(-w**2 - w**3 + w**2).\nAnswer: -1003*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/10 + (-8)\/20. Suppose -3*l - 22 = 4*u - l, 0 = -3*u - v*l - 16. Let i(m) = m**3 + 5*m**2 - 8*m. Calculate the least common multiple of i(u) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) -1624 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 3. Let z(m) = m. Let b(a) = -j(a) - 4*z(a). Let p be b(-7). Let k = -44 + 76. Calculate the greatest common factor of p and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039699914.\nAnswer: 2, 3, 11, 15753029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 5*x - x)*(56*x**3 - 3 + 17969*x**2 - 8986*x**2 - 9003*x**2 + 2*x) to the form m + g*x**4 + a*x**3 + d*x + h*x**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -526 (base 9) in base 3?\nAnswer: -120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -708801 by -3.\nAnswer: 236267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let t(n) = 56*n**2 + 11. Let g(b) = -11*b**2 - 2. Let m(c) = -11*g(c) - 2*t(c). Give k(m(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 47. Suppose -y*j = -0 - 15. Solve 0 = j*x - 6 - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7371.6 - -7372. Which is the closest to -334? (a) x (b) -2\/15 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43264)\/(-448) - 96 - (-11)\/(-56).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 4, o: 2}. Give prob of sequence buo.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w - 53*w - 25 = -10*u, -u - 8 = 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5) - -16*3\/30. Let m(q) = q**2 - 1. Let p(u) = -3*u**2 + 2*u + 2. Determine s*p(b) + 4*m(b).\nAnswer: b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4017\/27 + (-18)\/(-81). Suppose t = 5*i - a - 11, 0 = -i + t + 28. Calculate the remainder when 162 is divided by i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27286, -27291, -27300, -27313, -27330, -27351, -27376?\nAnswer: -27405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (12 - 13) + (0 - 5) - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, t: 2, j: 4}. Give prob of sequence yt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36564733559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79808 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -59. Suppose -g = 2, 35 = -3*f - 2*g + 7. Let b be ((-1)\/f - 0)*-3. What is the closest to 1 in q, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24023 (base 8) to base 14.\nAnswer: -3a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 316*i**4 - 4572*i**3 - 121788*i**2 + 1651104*i + 21902400 = 0.\nAnswer: -12, 25, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2.7*-0.5\nAnswer: -1.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 880966, 1761932, 2642898?\n\"Answer: 880966*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 - -80.9878. Round b to three decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v)**(-3\/20)*(v**(1\/6)*v)\/(v\/(v*v*v\/(v**0\/v)))*((v\/(v*(v*v**(-4\/5)*v)\/v))\/v*v**14)**(13\/2) assuming v is positive.\nAnswer: v**(263\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -3*l**5\/10 + l**4\/2 - 5*l**3\/6 + 2*l**2 - 18*l. Let s(p) = -13*p**3 + 13*p**2 - 11*p + 9. What is 4*s(f) - 9*t(f)?\nAnswer: 2*f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3444313 (base 7) in base 11?\nAnswer: -275059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15182*a*d - a + 2*d + 155180 wrt d?\nAnswer: 15182*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4642.187l to millilitres.\nAnswer: 4642187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -120802.053 to the nearest 10.\nAnswer: -120800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21931, 21016, 20101, 19186, 18271, 17356?\n\"Answer: -915*x + 22846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, -0.4, 1.8, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-30))\/(1\/(-8))*-5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (39 - 39) - -43?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -18*o + 20*o + 2070, 2568 = 5*k + 4*o. Let g = k + -256. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3415214.996 - -8783.9?\nAnswer: 3423998.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 5:56 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 41542, 85141, 130812, 178561, 228394, 280317, 334336?\n\"Answer: s**3 + 1030*s**2 + 40502*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 835*p + 12299. Calculate g(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**0*i**(-2\/5)*i*i**(3\/4)*i\/(((i*i**(2\/5))\/i)\/i)*i*i assuming i is positive.\nAnswer: i**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4082 - -6549. What is the thousands 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 7:18 AM and 4:54 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85\/107 - 18319\/11342. What is the common denominator of v and 59\/18?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3740 and 36.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-2.024557\nAnswer: 0.8098228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 - -2.33. Which is smaller: v or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*29.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -50*((-3)\/2 + 1). Suppose 0 = 4*z + 3*x - c, 0*z + 5*z - 39 = 4*x. Let p be (-1)\/2*(-6)\/z. Does p = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -35*i**3\/6 - 21*i**2\/2 - 47*i - 5. Let w(a) be the first derivative of l(a). What is the tens digit of w(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 7*v**2 + 4*v. Let w(p) = -2*p**3 - 21*p**2 - 11*p. Let i(x) = -11*r(x) - 4*w(x). What is the third derivative of i(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -17. Let j(u) = u + 4*u**q + 5*u + 4 + 0*u - 3*u**2. Suppose -4*g = -0*z + 5*z + 31, 5*g + 26 = -2*z. Give j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-12))\/(((-30)\/(-108))\/(25\/(-10)))*-11.\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4557)\/(-63))\/(-31)*207\/(-21)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 greater than -3\/9149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c. Let r(z) = -z - 7. Suppose 2*b + 2*b = 0. Let t be r(b). Let p = t + 10. What is o(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112987877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 12. Suppose -1086*a + 1095*a = 18. What is the nearest to c in 3\/2, 2\/5, a?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 5, -1, 12, 2, 19 in descending order.\nAnswer: 48, 19, 12, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.2 - 93.73. Round y to 0 decimal places.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10389388 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 33*v**2 - 14. Let c(f) = -116*f**2 + 48. Let x(h) = 7*c(h) + 24*o(h). Let t(s) = 2*s**2. Calculate t(x(d)).\nAnswer: 800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * 2.8\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -m + 4 - 24, -3*m = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-60)\/(-16) - (-60)\/48. Let p = 9 - 9.1. Let i = -1.1 - p. Sort i, l, 0, -5.\nAnswer: -5, i, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -155*w. Let t(q) = 7*q. Let v(y) = -61*y + 5 - 45 - 30 - 44 + 24. Let o be v(0). Calculate o*t(m) - 4*p(m).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9528 divided by 470.\nAnswer: -4764\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3*j - 9 = 0, -j + 1 = f. What are the prime factors of (-50)\/f*(-6)\/(-10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49293 is divided by 285.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1248400?\nAnswer: 2, 5, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/3)\/n*n**(-1\/2))\/(n\/n**1)**(17\/2) assuming n is positive.\nAnswer: n**(-7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 110*d - 11024 = 0. What is the highest common divisor of 14976 and d?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32102201 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -14*w**2 - 6*w. Let j(g) = -5*g + 89. Determine h(j(p)).\nAnswer: -350*p**2 + 12490*p - 111428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -19. Suppose 10500003 = -w*x - u, 2*x - 5*u + 1932663 + 2267322 = 0. Round x to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 10*j**2 - 8*j - 3. Let n be f(9). Suppose q = 3*q - n. Let g = 14 + -9. Sort 1, g, q.\nAnswer: 1, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + t - 3070060 - 649945 = 0, t = x - 1859995. Round x to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*a = 16, 4*a = 109*g - 105*g. Let z(m) = 5*m**2 + 5*m + 5. Let b(h) = 2*h**2 - h**3 + 4 - h**2 + 3*h**2 + 4*h. Calculate g*z(r) + 5*b(r).\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2*x**3\/3 + 5*x**2\/2 - 5*x - 21. Let r = 5 - 6. Let m(j) = -j**2 + j - 1. Give r*t(v) + 4*m(v).\nAnswer: -2*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 2, n: 2, r: 8}. Give prob of picking 2 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 2*x**2 - 2*x - 2 + 3*x + x**3. Let r be 2 - 2 - 36\/1. Let d be (2\/6)\/((-6)\/r). Calculate n(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603074.\nAnswer: 2, 3, 11, 107, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -5 - (30 - 32).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -7.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 374?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 12 = u. Suppose 4*c - u = -c. Is ((c + -401)\/2)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46995382169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -2.1 (b) -0.051 (c) -0.0418\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28\/(-42))\/((-2)\/(-18)). Let h(z) = -8*z**3 - 20*z - 11. Is h(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 + 921*c + 14637. What is u(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -11211103?\nAnswer: -11211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 4:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3\/2 - 3*d**2 - 9*d\/2 = 0. Calculate d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7914 divided by 1\nAnswer: 7914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*w - 3*o = 10, -3*w - 3*o = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5451 from 0.1331357187.\nAnswer: -5450.8668642813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*u - 7 + 4 + 94*u + 3.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 19\/29 (b) -1\/17 (c) -3 (d) 40 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 31) - (-6 - (7 + 1))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 579 + -574. Determine g so that 0 - 1\/5*g**2 + 1\/5*g**m - 3\/5*g**3 + 2\/5*g + 1\/5*g**4 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15574307 is divided by 2890?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, v: 1, q: 1}. What is prob of picking 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 5*l + 8. Let z(v) = -v + 5*v + 27 - 15 - 19 - v**2. Determine 4*m(d) + 5*z(d).\nAnswer: -d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/19)*k)\/k**4 assuming k is positive.\nAnswer: k**(-56\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 185*m - 1228. What is the thousands digit of b(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 49455.\nAnswer: 494550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262 - -262. Calculate the remainder when o - -1 - (-13 - 4\/(-2)) is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**4 - s**3 + s**2 + s - 1. Let w(b) = -6*b**4 + 11*b**3 - 9*b**2 + 4*b - 2. Let q be (4\/6)\/(6\/36). Let o(v) = q*g(v) - 2*w(v). Solve o(u) = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 1:53 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(1794\/130)*-3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 434350993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -7*i + 14973. Suppose -i = -s - 2*p - 3*p, 2*s - 4*p - 4334 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 80. Let w be a(13). Suppose -4*f + 535 = 2*b - w, 0 = 4*f - b - 622. What is the highest common divisor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 880264 and 32.\nAnswer: 3521056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aa12 - 4c?\nAnswer: -aa60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000680573089 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.617294307 rounded to two decimal places?\nAnswer: -6.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 53, 1865, -4, -5 in decreasing order.\nAnswer: 1865, 53, 18, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 380325054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-35) - (-12)\/10. Suppose -x*w + 4*w = 0. Suppose -8*l + 0*l + 24 = w. Solve -l*o + 8*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6955 - -10813. What are the prime factors of q?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -332176618*s**5 + 59*s - 397129?\nAnswer: -6643532360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6674 - 2.5674. What is the fifth smallest value in 17, l, -0.09, 0.4, 1?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -34, -0.1, 0.3, -1\/2 in decreasing order.\nAnswer: 0.3, 2\/11, -0.1, -1\/2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0691 - 0.0617. What is p rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -60873*y + 275. Let d be x(-25). Suppose 6*j = 37*j + d. Round j to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 787*x + 92673. Calculate l(104).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 6) in base 13?\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.076473654 + 0.07648. Round t to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -2, 2\/19 in descending order.\nAnswer: 2\/19, -0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1. Let r = -0.78 + -0.22. What is the closest to r in 2\/9, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011 + -100111?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/30 and 109\/400386?\nAnswer: 2001930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2 - 10. Suppose r = u*r - 18. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r - 48*c = -44*c + 468, 50 + 317 = 3*r - 4*c + 79 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 36 - 348*y - 80 as o*y + f and give o.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 169 and -26.2?\nAnswer: -4427.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451063?\nAnswer: 71, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 456\/72 - 4\/(-6). Let s(j) = -6 - 8*j**2 + 2*j**2 + j**2 + 4*j**2 - y*j. Let c(u) = 3*u**2 - 11*u. Let v be c(3). What is s(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4123274 divided by 49678\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {y: 9, o: 6, g: 1, t: 1}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81177792 is divided by 338?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399*f + 399*f + 22*f**3.\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164064389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -27, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262899 + -19454181\/74. Let d = q - 21401\/4884. What is the common denominator of d and -127\/18?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5800)\/(-6090)*(-15)\/10?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3*x - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**3\/3 + 2*a - 1. Suppose 15 = -3*q + 5*c, 4*q = 5*q + c - 3. Let g be j(q). Let i(v) = 2*v - 1. Give i(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192 a factor of 531597432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 4797773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from knllkllkllklwklllll. What is prob of picking 1 n and 1 k?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120240 + 203?\nAnswer: -120034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -40.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -1\/42*a**7 + 5\/6*a**3 - 1\/5*a**5 - 2\/15*a**6 + 1 - 15*a + 1\/6*a**4 + a**2. Let z(c) = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5452*l. Let t(n) = 56*n - 2. Calculate t(f(i)).\nAnswer: 305312*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -225360.5 to the nearest 1000.\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by 135.\nAnswer: 157\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 62121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4 + -4 + 3 + (-2*sqrt(3078))\/sqrt(2))*1)**2 + 2.\nAnswer: -12360 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/12)\/(-8*3\/72)*-2\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 123543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**6\/540 - 7*n**5\/30 - 534*n**2. Let o(b) = 0. What is b?\nAnswer: 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, and 1 d when three letters picked without replacement from vcsrd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2596541306 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -279*b + 0 + 0 + 280*b. Let p(d) = -2*d - 2. Determine -4*n(h) - p(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143910 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000275 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 bigger than -0.0177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -2\/3*q**3 - 4 - q**2 + q. Give c(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 8, -3*t = 2*h - 3410 - 1937. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 493, 1001, 1509, 2017, 2525?\nAnswer: 3033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4436 by -3.\nAnswer: -4436\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -51*m**3 - 7*m**2 + 1. Let o(r) = 152*r**3 + 20*r**2 - 3. What is 11*l(g) + 4*o(g)?\nAnswer: 47*g**3 + 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 12*n + 8. Suppose -5*s - 2*v + 15 = 3*v, s - 2 = -2*v. Suppose s*o = 66 + 30. What is the remainder when k(5) is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/(-9) - ((16 - 13) + 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2*o - 44947*n**2 + 3*n*o**3 - 5*n*o wrt o.\nAnswer: 2*n**2 + 9*n*o**2 - 5*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23500, -23512, -23536, -23578, -23644, -23740, -23872, -24046?\nAnswer: -24268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39891 divided by -29.\nAnswer: 39891\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64893473*k**2 + 75419962*k wrt k.\nAnswer: 129786946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37518647831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, j: 3}. Give prob of picking 1 j and 2 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2127562178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*w + 3. Suppose -3*a = 5*b + 14, 7*a + 12 = 3*a - w*b. Solve 0 = 2*k - a - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 + -10 + (37 - -66)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 20. Let d be -2*1\/((-4)\/i). Solve 2 = -4*b + d*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9655, 9842, 10035, 10240, 10463, 10710, 10987?\nAnswer: 11300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10086*4.\nAnswer: 0.40344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -88*u + 790. What is m(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from vzovovovvzo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**6\/3 - 215*g**3\/3 - 2*g - 101. What is the third derivative of z(o) wrt o?\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6738 by 15.\nAnswer: 2246\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 + 2.8. Let a = 5 - y. Let r = 0.1 + 0. What is the third smallest value in -4\/7, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 2. Let z = h - -0.64. Let j = 0.122 - z. Round j to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/14 - (-2 + 36\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2282 + -52. Suppose 0 = -5*w - 5*i + 2780, -4*w = -0*w - 2*i - z. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - i**5 + 2*i + (2*i**2 - 2 + 2)*(-3*i**3 - 6*i**3 + i**3).\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35052*q**2 - 173*q - 11988216.\nAnswer: -70104*q - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1125138 - 1126439.991. Let p = -1303 - h. Let x = p - -1. What is x rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 5, -0.1, 2\/11, -14\/5, -2.7?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710233 is divided by 385.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 1. Suppose 3*l + 3*q = 6*l - 3, 3*l - 11 = q. Let b(m) = -2*m - 3. Give l*j(s) + 3*b(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let a = -1 + x. Let j be (2\/(-4))\/(2\/(-16)). Calculate the greatest common factor of a and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/2)\/(3\/(-6)). Suppose 2*y - i = -y. Let s(g) = 435 - 3*g**3 + 460 - 896 + 2*g. Calculate s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 8*r + 3. Let h be o(8). Let a be (75\/(-20))\/(h\/(-8)). Let b be -2 - (0 - a\/6). What is the closest to -2\/3 in -5, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24885.\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1392 = -20*o + 24*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6631195mm in nanometers?\nAnswer: 663119.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 - 13*a - 10. What is the remainder when 31 is divided by y(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -4, 27, -2\/9, -0.13155?\nAnswer: -0.13155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(209) + (sqrt(209) - ((sqrt(209) + 1*sqrt(209))*-4 + sqrt(209) - sqrt(209))) + sqrt(209) + sqrt(209))\/(sqrt(275) - -1*sqrt(275)))**2.\nAnswer: 759\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -4, -2, 0, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 13. Let r be w(7). Solve r*n + 6 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2632 = -4*b, 2*b - 58*m = -60*m + 1336. Calculate the lowest common multiple of b and 4446.\nAnswer: 75582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) - (-387)\/81. Suppose -m - 2 = -z, -2*m = -m + y*z - 28. Sort 1, m, -1.\nAnswer: -1, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53\/4 of a micrometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -4c?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 4*m**2 - 12*m + 18. Give g(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*d = 18, -2*f - 2*d - 3*d = -16 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Let s = 1 + -3. Let w be 303\/(-9) + s\/z. Round w to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56760 and 1986600?\nAnswer: 1986600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 318734 by 46.\nAnswer: 6929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -6 - 5 - 32.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03134584235 to five dps.\nAnswer: -0.03135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {w: 5, z: 11}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times 124.9\nAnswer: 2.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.99963 - 36. Let k = i - -0.001. What is k rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - 12\/(6\/(-3))*284 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4884030 and 8791254?\nAnswer: 43956270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/8, 0.1 in increasing order.\nAnswer: -3\/8, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -1*(-1 + 3). Suppose 4*t = -3*m + 189, 0 = g*m - 4*t - 157 - 190. What are the prime factors of m?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 21*t + 3*t**3 - 20*t**2 - 10*t + 0 - 8*t as s*t**2 + q*t**3 + y*t + m and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -7 - 1 - 5*t + 21*t + 24*t**2 - 36*t**3. Suppose u(p) = 0. Calculate p.\nAnswer: -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2765.55 - -2707. Let m = -57 - n. Let t = m - 1.623. What is t rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -623 + 622.749. Let n = j + -0.049. Let a = -2.7 + n. Put 2, -4\/9, a in increasing order.\nAnswer: a, -4\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -5*g - 2. Let s = 5 - g. Find the third derivative of n**s + 0 - n**4 + 0 + 0 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 186725198\nAnswer: 186725197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/12*1*40\/(-300)*-36. Let f be (1 - 0)\/((-1)\/15). Sort f, i, 4 in increasing order.\nAnswer: f, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 18 = 2. Which is bigger: j or 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 - 6*v + 27. Suppose 6*q - 36 = -2*t + 2*q, -3*q - 9 = -3*t. What is the hundreds digit of c(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -17*z**2 + 156*z + 176. Let k be y(10). What is the highest common divisor of 21474 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*v = 64*v + 986. What is the remainder when 62 is divided by (1 - 8\/14)\/(v\/(-406))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 11\/2, 1\/156, -2\/17, -0.1, -5, -3\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*b*z**3 + 4374*b*z**2 - b + 71*z**3 wrt z.\nAnswer: 432*b + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*3*-3)\/sqrt(10).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l + 7*l + 33. Suppose 211 = 4*a - 61. Suppose g = n - 23, 0*g = -l*n + 2*g + a. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322971 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23073 is divided by 1648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 23*q**2 - q + 2. Let h(y) = 73*y**2 - 2*y + 9. Let n(z) = -5*b(z) + h(z). Determine n(1).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 149 - 5. What is the highest common factor of x and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.034 - 2.506. Let o = g + -0.46. Is -0.4 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8577044 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 22 = -4*d - 2*l, -d = 5*l - 31. Suppose -2*v = -5*v + d. Differentiate -j**v - 4*j**2 - 2 + 1 + 3*j**2 wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 19*x**2 - 17*x + 64. Let h be c(-20). Differentiate 10882*i**3 - 10882*i**3 + 166 + 25*i - i**h wrt i.\nAnswer: -4*i**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 51*y**2 + 45*y - 5317. Determine z(50).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -19*k + 2*z - 175181, -k - 3*z = -58410. What is the ten thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 313996*m + 313941*m + 9 + 0.\nAnswer: -55*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 91, 88, 91, 106, 139?\n\"Answer: r**3 - 3*r**2 - r + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 348\/1914*-2*11\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1820\/7139 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 12*c + 24 = -3*u, 3*c + 18 = -u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 2*f - 11*f + f**2 + 0*f + 1. Let n(g) = -g**2 + 8*g - 2. Give 5*j(p) + 3*n(p).\nAnswer: 2*p**2 + 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*y + 45*y - 24. Find the second derivative of -28*v - 8*v**5 - v**4 + v**4 + y*v wrt v.\nAnswer: -160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 9 + 1. Let i(n) = -n**k + n + 1 - 2 + 11. What is i(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 9*b + 3. Let n be m(-8). Suppose -9*l - 12 = -n*l. Suppose -3*d - l*d = -5166. What is d rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - u - 2. Let v be q(-2). Let y be v\/6*6\/4. Let w(s) = 4*s**2 - s. What is the units digit of w(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 8*j = 23*j + 256 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747 a factor of 91673825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 10 = -o - 4*b, 0 = 4*o - b - 5. Suppose o = -25*i + 12052569 + 7547431. What is i rounded to the nearest 10000?\nAnswer: 780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c = 12*c + 1460. Let k = c + -3214\/11. What is the smallest value in -0.1, 2, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, m: 4, c: 1, y: 3, n: 2, w: 8}. Give prob of picking 1 m, 1 n, and 2 k.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36836704 and 14?\nAnswer: 257856928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 3:35 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*o + 2*o + 4 = 0, 5*x - o + 24 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9*(480\/(-18))\/(-16)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 85*v**2 + 546*v + 182. Give i(91).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -3\/8, 1\/5, 0, 3\/2, 1572?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 24940.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 5*k + 19 = -k, 4*l - k + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1049 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35124 (base 7) to base 9\nAnswer: -13283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6864 divided by 22.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*t + 18. Suppose 6 = t*f - 8*f. What is the lowest common multiple of (-3)\/15 - (-33)\/(-30)*-2 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125\/2 or -1?\nAnswer: -125\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -38564 divided by 246\nAnswer: -19282\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + -353. Let v = s + 511. Calculate the lowest common multiple of v and 6.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 3*r + 2 + 3*r. Let a = -76217 - -76223. Let f(g) = 1. Determine a*f(l) - 3*i(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7800880824?\nAnswer: 2, 3, 11, 3283199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-5)\/((-5)\/4). Suppose -g + h = -3. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/16 and (-9)\/(-60)*2\/(-6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -96326 - -24081459\/250. Calculate the common denominator of c and 81\/22.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-15) + (-18)\/(-45)*14. Let w be ((-5)\/y)\/(-22 + 17). Which is the biggest value? (a) -4 (b) w (c) 2\/13 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3 + 1*sqrt(75) + sqrt(75) - (sqrt(75) - (-1 + 2*sqrt(75)))) + (-1 + sqrt(75)*3)*-5)*-6)**2.\nAnswer: -30240*sqrt(3) + 390564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 25*o**2 - 885*o + 104. Give j(35).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.118102 rounded to two dps?\nAnswer: -76.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80106538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 - 0.09. Let s = -0.49 + t. What is the nearest to 0.1 in 4, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 + 3*o + 31. Calculate n(6).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 6*f + 8351 = 8260 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3366 is divided by 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -18. Solve 0*x = -5*x - t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 32 (c) -0.3 (d) 1\/3 (e) -0.014 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 52, 51, -44, -281, -708, -1373, -2324, -3609?\n\"Answer: -8*c**3 + c**2 + 52*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/43? (a) 0 (b) -2\/63 (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 62124.\nAnswer: 62124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 + 56 = 51*d - 332 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 6)*(-8*a - 4*a + 3*a)*(3*a - 3*a + 2*a).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - w - 73 + 64, 0 = 4*v + w + 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 283*v**4 + 218*v**4 - 2 + v**4 - 3*v**4 - v**4 + (-4*v - v + 4*v)*(-2*v**3 + 3*v - 3*v) to the form y*v + f*v**2 + q + r*v**4 + b*v**3 and give r.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 12:29 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 219 - 145. Let l = p + -72. Put 0.1, 3\/5, l, 1\/2 in descending order.\nAnswer: l, 3\/5, 1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*t + 7*t - 3*g, -5*t - 2*g = -31. Suppose 14*i + 5*d - t = 19*i, 2*i - 5 = -5*d. Factor i*l + 0*l**2 - 1\/3*l**5 + 0 - 7\/6*l**4 + 0*l**3.\nAnswer: -l**4*(2*l + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 - -1.1. Let f(m) = -3*m + 3. Let r be f(2). What is the second smallest value in r, x, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 2*w = -225 + 221, 0 = -6*g - 5*w + 23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*k - 6 = 0, 0 = -t + 982*k - 979*k + 5. What is f in 18\/7 + 12\/7*f + 2\/7*f**t = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-3)\/(27\/16). Let o = -3.01 - -0.01. Which is the biggest value? (a) o (b) k (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + t - 30 = -4*t, 5*j - 3*t - 44 = 0. Let o be 45\/j*4\/9. Suppose 10 = 3*v + 2*v, o*u - 3*v = 14. What is the remainder when u is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230*q*t**3 - 20*q*t**2 - 10*q*t - 33156*t**5 - t**2 + 95*t + 3 wrt t.\nAnswer: 1380*q - 1989360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -152*t**2 + 50*t - 42. Let c(r) = 51*r**2 - 17*r + 15. Let v(j) = -17*c(j) - 6*p(j). What are the prime factors of v(-2)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15 - (-2)\/(-4)*10. Let f be (-11)\/(935\/p) - 36\/(-17). Differentiate -7 - 8*v**2 - f*v**2 - 13*v**2 - 16*v**2 wrt v.\nAnswer: -78*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242217650 to the power of 1\/3, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**4 - 97*u**3 - u**2 + 64*u. Let v(w) = w**4 + 2*w**3 - w**2 - 2*w. Let m(z) = -k(z) + v(z). Find the second derivative of m(f) wrt f.\nAnswer: 24*f**2 + 594*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + -2 - (-3 - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 81*o**3 + 2*o**2 - 5*o - 55. Let f(s) = -41*s**3 - s**2 + 3*s + 28. Let l(c) = 10*f(c) + 6*k(c). Differentiate l(w) wrt w.\nAnswer: 228*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63\/10 - 13\/2. Sort -2\/13, -0.5, v in increasing order.\nAnswer: -0.5, v, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.98 - 0.02. Let u = p + 6.4. Let j = u - 0.4. Which is the closest to j? (a) 5 (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070 smaller than 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1454761, 1454764, 1454767, 1454770?\n\"Answer: 3*x + 1454758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*(-1 + (5 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 o when three letters picked without replacement from zpooznzxxnpnozpno.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n + 6. Let c(v) = -9*v + 11. Let r(q) = 4*c(q) - 7*k(q). Let a be r(0). Is a*(-2)\/((-4)\/163) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 5*g - 3854, 0*g + 1927 = l + 5*g. Let a = -1574 - -2881. Let q = a - l. Round q to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqfqqqbqlbfq. Give prob of picking 1 l and 1 q.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c. Let x(j) = 972*j. Let v(w) = -w + 3. Let i be v(1). Let p(u) = i*x(u) - 28*y(u). Let k be p(4). Round k to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 397038244*x**2 - 9852460648431840*x - 9852460251393600 = 0. What is x?\nAnswer: -49629780, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -153 - -172. Suppose j*b = -4*b + 92. Solve -4*y - b*x = x + 8, 0 = 4*y - 2*x - 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*1.68.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -104\/19, -1, -1249, 5\/3?\nAnswer: -104\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -266*h**3 + 4*h**2 + 2. Let w be i(-2). Calculate the greatest common divisor of w and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -174453, -699176, -1573715, -2798070, -4372241, -6296228?\n\"Answer: -174908*p**2 + p + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6786 and 49010.\nAnswer: 441090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76381291 + 76381302 - 229143890 - 10*o + 76381297.\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**8\/112 + o**7\/10 + o**6\/8 - 7*o**5\/20 - 3*o**4\/4 - o**2 + 19. Factor k(n).\nAnswer: 3*n*(n - 1)*(n + 1)**2*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 148 + (-1 - 23). Let k = 157 + -34. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + 0.85. Let d = w - -3.2. Let a = -2525 + 2524. What is the biggest value in d, -0.5, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 10. Let r be z(5). Solve -t = 3*v - 2, 4*v + t = -r*v + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210152 is divided by 5101?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmcmdddccdccdd. What is prob of picking 1 c and 1 m?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 16*b + 6. Give c(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - (-12 + 33 + -24)) + (12 - -35)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257790 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 4*u - 1724, -u + 7 - 2 = 0. Let n = 1715\/4 - j. Which is the closest to n? (a) -0.4 (b) 1\/5 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 283720 and 151721.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.863914 millennia to years.\nAnswer: 4863.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0961628*0.9.\nAnswer: 0.08654652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -63*j**3 - j - 1. Let g be a(-1). Let m = -598 + 608. Suppose m = -v + g. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 1) + ((2 - 6) + 21 - (-146 + 157))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (18*(-442)\/(-3276))\/(((-6)\/(-3))\/14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/(-9)*(-3)\/2. Let v be 18\/y + (-5 - -4). What is the nearest to 0.1 in 3, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 406 = -5*t - h + 4486, 3*t + 3*h - 2448 = 0. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 1\/4*5. Suppose -7 = 13*i + 6. Let r be 6 - 5 - (0 + -1 - -3). What is the closest to i in 5, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**2 - 3092475*c = 0 for c.\nAnswer: -618495, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-6)\/108 - (-73748)\/(-42021). Let w = d + 6\/667. Calculate the common denominator of -71\/15 and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 174449 and -5.\nAnswer: -872245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(170))\/sqrt(10) + sqrt(17) - ((sqrt(17) - (3*sqrt(17) + sqrt(17))) + 5)**2).\nAnswer: -178 + 29*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - h = 324, -3*z - 320 = 5*h - 8. Let s = 439\/4 + z. Which is the closest to 0? (a) s (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 49 = -31. Let z(o) = -2*o - 12. What is the tens digit of z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 > 975\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a**(-1)\/a*a)\/a*a*a*a*a)\/a)**(-10)*((a\/(a\/a**(-2\/7)))\/a*a)**(2\/37)*((a**(1\/4))**(1\/18))**(-3\/11) assuming a is positive.\nAnswer: a**(-1368835\/68376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(36) - sqrt(396)\/(1*sqrt(11)))\/sqrt(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2659.2 - 2660. What is the nearest to -1 in 0.4, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 12*o**2 + 11*o + 4. Let g be s(-11). Is (-8)\/(g\/12 + -1) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, a: 2}. Give prob of sequence aa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**3\/(s**2*s*((s**1\/s*s)\/s*s*s)\/s) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-28)\/(-56)). Let b = 0 + 0. Let t = a - b. Put -2, t, -4 in decreasing order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 3*j - 1. Let v(t) = 6*t**2 + 38*t + 121. Let c(y) = -5*l(y) + v(y). Let q be c(-14). Factor 0*p + 0 + 25\/3*p**3 - 5\/3*p**4 + q*p**2.\nAnswer: -5*p**3*(p - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2057)*4)**2*-1*-4.\nAnswer: 131648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157666*a**4*i + 2*a**2*i**3 - 4*a*i**3 - 197714*a*i wrt a.\nAnswer: -1891992*a**2*i + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/15 - (-34)\/10. Suppose -12 = -w*z + 15. Suppose 0 = -4*y - k + 57, -164*k = y - 169*k - 51. What is the remainder when y is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 49, 29 in increasing order.\nAnswer: 6, 29, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106.9 + -107. Let g = 0.676 + -0.7. Put j, g, 5, 1 in descending order.\nAnswer: 5, 1, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/5 + 11887584*r - 176643316696320 = 0.\nAnswer: 29718960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13043673 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 795783 from -0.52.\nAnswer: -795783.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/18)\/((-1)\/3)*-3. Solve -15 = -4*j + 3*j - g*f, -2*f = -10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*m = 45*m - 1468 - 11364 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + y**2 + y + 1. Suppose -11*m + m + 20 = 0. Give v(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -19*t**2 + 9. Let r(v) = 9. Let b(h) = -2*a(h) + 2*r(h). Let m(y) = -5 - 2*y**2 + 5. Calculate b(m(g)).\nAnswer: 152*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 10*u. Give v(-4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x - x + 0*x)*(-6*x**3 + x**3 + 4*x**3) - x**4 + 4*x**3 - 4*x**3)*(x + 0 + 0).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/c**(-30))\/c*c)\/c)\/c)**(-28) assuming c is positive.\nAnswer: c**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 3.1. Let p be (-86)\/72 - 24\/32. Let z = 4\/9 + p. Sort y, z, 5.\nAnswer: z, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 + 3*u**2 - 10*u**2 - 7*u + 7. Let s be q(-8). Let n(x) = -9*x**3 - x. Determine n(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8557 and 21?\nAnswer: -179697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 172109858 and 4229?\nAnswer: 172105629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 a factor of 1461407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 62 = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 187*j**2 - 23*j - 362*j**2 - 18*j - 27*j + 1156 + 176*j**2.\nAnswer: (j - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4 = -j, 2*j = 3*x - 0*x - 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 122. Calculate the remainder when 245 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (19 + -13 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18544781 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 727700 divided by -4\nAnswer: -181925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -177.\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2327539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2200, -2201, -2202, -2203?\n\"Answer: -p - 2199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**4\/14 + 38*d**3\/21 - 216*d**2\/7 + 1574. Factor h(y).\nAnswer: 2*y*(y - 8)*(y + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*y - 30 = 3*a, 0 = -5*y + 4*a - 53. Let d = y + 5. What are the prime factors of (-1 - d)\/((-2)\/(-10))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 6*q + 196. Let n = q + 53. Let a = -2 - -6. Solve -k - 4*k - 4*r = a, n*k - 2*r = -28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2075, 4272, 6475, 8684?\nAnswer: 10899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 46) + (-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 20*a**2 + 11*a + 8. Let y(k) = -k**3 - 7*k**2 + 4*k + 3. What is 4*w(d) - 11*y(d)?\nAnswer: -5*d**3 - 3*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41 and -4\/41133.\nAnswer: 41133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*g - 996 = 1749 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-120)*4*(-10)\/12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -355 + 169*w**2 + 167*w**2 - 337*w**2 as o*w**2 + y*w + d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-666)\/36*((-2)\/(-3))\/(83\/249)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4*d - 1. Let o = 2 - 2. Suppose -2*n - 1 + 7 = o. Suppose -1 = n*h - 4. What is u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*c - 6*c + 3*c)*(-c - 3*c + 2*c) + (3*c + 0*c - c)*(-2*c + 2*c + 2*c) + (-21*c + 7*c**2 + 21*c)*(-2 - 3 + 3).\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 6*h - 2. Suppose -4*c = q - 13, 2*q + 5*c + 10 = 6*q. Let i be y(q). What is the third derivative of -4*b**i + b**3 - 2*b**2 + 2*b**3 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1551327021\/4 > -387831755?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + m**5 + 2*m**5 + (-7*m**5 + 17*m**3 - 17*m**3)*(31 - 42 - 36).\nAnswer: 330*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80931358 divided by 80931358\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397607, 397243, 396881, 396521, 396163, 395807?\nAnswer: 395453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + j**4 + 0*j**2 + j**2 + (0*j**4 + 4*j**4 - 6*j**4)*(-154 - 188 - 172) to the form g*j**3 + c + t*j + q*j**4 + p*j**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -1\/6 (b) 12 (c) 1 (d) 72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 63*a**3 - 178*a**2 - 33*a + 9. Give l(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 3}. What is prob of picking 2 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8913, 64304, 214651, 507432, 990125, 1710208, 2715159?\nAnswer: 4052456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -884 - -1519. What is k rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.80451 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 28 - (-19 + -50 + 54).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -95. Suppose 2*w + w - 102 = 0. Calculate the highest common factor of w and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = j - 0*j + 12388, -2*q - j + 4951 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 16487142?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 15 - 17 = -3*t, -4*t - a + 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832 divided by 177?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/5 + 906*o**2\/5 + 90342*o\/5 + 2595726\/5.\nAnswer: 2*(o + 63)**2*(o + 327)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85462 - 258046 = -12*l. List the prime factors of l.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 352220, 352212, 352198, 352178, 352152, 352120?\n\"Answer: -3*d**2 + d + 352222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3818 - -3842)*(1 - (-4)\/(-6)) + 30?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 347447 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3611.3 - -3612.3. Which is the second smallest value? (a) t (b) -0.3 (c) 0.1085\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1623 is divided by 400.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*j - 2*t, 5*j + 2652*t = 2653*t - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*v - 17, 2*f - 3*v = 16 - 0. Let i(g) = g - 6. Let a be i(f). Suppose -y + a*x + 42 = 0, -2 + 7 = -x. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -391*b - 433. What is l(-1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -63055.9.\nAnswer: 18916.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3332 - 3644 + 6693 - 19*g**2 in the form r*g**2 + w*g + h and give h.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39455 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 69806790 and -1?\nAnswer: -69806790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -95 - -103 - (-4 - (-21 + 4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 a when two letters picked without replacement from {l: 4, a: 8, k: 1, y: 2}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5448*d**2 + 2435*d wrt d?\nAnswer: -10896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**3 + 3*z**2 - 3*z. Let v(l) = -1 - 4*l - 3*l**3 - 4*l**2 + 0*l**2 - 3*l + 11*l. Calculate -4*s(d) - 3*v(d).\nAnswer: -3*d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*c - 2*c**2 + 0*c**2 - 181*c + 434*c.\nAnswer: -2*c**2 - 157*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 + (-6 - -1))) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 92?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -87 (b) 3\/2 (c) 2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byqqeeyyze. Give prob of sequence yqy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 7 - 9*j + 0*j + 19*j - 8*j to n*j + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21735, 22355, 22977, 23601, 24227, 24855?\nAnswer: 25485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(-3 + sqrt(13))*-3 + sqrt(13) + sqrt(1872) + 5 + sqrt(143)\/sqrt(44))**2.\nAnswer: -7395*sqrt(13) + 127297\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 323 + -185. Let u be b\/7 - (-2)\/7. Let j = -5 + u. Solve m + j = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 19*n**2 - 5*n**2)*(-5*n**2 + 0*n**2 - 2*n**2)*(3*n + 0 + 0).\nAnswer: -336*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 9, -289.\nAnswer: -289, -3, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2045 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 73832?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -26*n**2 - 109*n - 20. Let m be i(-4). Suppose 0*b = -4*b - 36. Let o be 42\/(-8)*24\/b. Solve -2*j + 3*h = m, 5*h + o = -4*j - 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 4, b: 1, u: 3}. Give prob of sequence pub.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32841 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/30, 1.49, 8, -0.2, 1\/9?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14119\/6 + -2335. Let i be (1\/34824)\/(88\/32432368). Let t = -2\/15961 - i. What is the common denominator of t and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 11*j. Suppose 5*o - 4*o = j. Suppose o*k - 12 = -4*i + 2*k, i + 2*k = 8. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 - 7*j**2 + 3*j**2 + (3*j**2 + 4*j - 4*j)*(0 - 1 - 1) + 2*j**2 - 5*j**2 + 2*j**2 - 2*j**2 - j**2 + 2*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -630, -2504, -5626, -9996, -15614?\n\"Answer: -624*o**2 - 2*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 6*y**3 + 20. Let t(l) be the third derivative of -l**5\/60 + 4*l**2. Give r(t(f)).\nAnswer: 18*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -3*p + p - 28. Solve -107*v + p = -109*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1050, -2122, -3212, -4326, -5470, -6650, -7872, -9142?\nAnswer: -10466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c**2 + 5*c + 4. List the prime factors of l(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-27))\/(4\/6). Let p = 14 - 7. Suppose -8*q - p = -q. Which is smaller: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100022111 (base 3) to base 9\nAnswer: -10274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -2. Let z be 1*d*(-6 + 3). Let c be ((-9)\/6)\/(2\/z). What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by 3.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 3*y + 3*y)*(y + y - y)*(0 - 2 - 1).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a. Let r(d) = 1. Let l be -4 - (-3)\/(1 - -2). Let t(b) = -b + 3. Let h(p) = l*r(p) + t(p). Calculate h(y(w)).\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16363 + -16346. Let q = -17 - -46. Solve -d = a + 4*z, -3*a + 5*z = z - q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28805 divided by -5761\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let o(p) = 3002*p. Determine j(o(h)).\nAnswer: 3002*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.22. Let b = -8.56 + -2.44. What is the nearest to 0 in b, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 18046006?\nAnswer: 18046001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.1, 2\/3, -4, 66 in decreasing order.\nAnswer: 66, 2\/3, -3.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29035905119.25346222 + 29035904698. Let m = r - -1242.25346581. Let f = m - 821. What is f rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 44. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -1, -2, 63?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 1 + 1178\/(-108). Let a = 7\/27 - k. What is the common denominator of a and 83\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (-1 - -2)*-2 + 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5 and -16 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1331) + 1 + -3.\nAnswer: -2 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 2\/941, 4, -6.1, 0.5, -2\/7 in decreasing order.\nAnswer: 15, 4, 0.5, 2\/941, -2\/7, -6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/5 + 289*s**2\/5 + 2304*s + 11700 = 0. Calculate s.\nAnswer: -30, -6, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 162984 divided by 4\nAnswer: 40746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -192, -461, -846?\nAnswer: -1347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1390382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15189?\nAnswer: 3, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**3 + 290*u**2 - 285*u = 0.\nAnswer: 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -61*k**5\/3 + k**4\/8 + 143*k**3\/6 + 31*k**2 - 26*k. Find the second derivative of b(c) wrt c.\nAnswer: -2440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 123*v - 1530. Let g be y(109). Sort 5, 20, g, 1, 0.5.\nAnswer: g, 0.5, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s + 4 - 4 + 2 - 5. Let d = 36 - 22. Calculate the remainder when d is divided by c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 3*q**2 - q - 1. Let c(g) = g**2 + 7*g + 8. Let n be c(-9). Suppose -4*u + n + 11 = 5*t, 18 = u + 3*t. What is a(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 11*s - 80. Let j be g(-5). Solve j = -3*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 1:00 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3. Let v = s + -3. Let d = v + 6. Solve 9 = d*q + 5*f, -2*q + 1 + 5 = -5*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3 + 37447*p**2 + 19*p - 777 wrt p?\nAnswer: -12*p + 74894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2630007624+0.03\nAnswer: -2630007623.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 10:13 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 48, 76?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 - 0.12. Which is the smallest value? (a) q (b) 1\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - j**2 + 1. Let k(u) = 6*u**3 - 4*u**2 + 2. Determine -k(x) + 2*l(x).\nAnswer: -8*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.26 in 2, 0.2, 1\/7, 0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011100111 (base 2) in base 10?\nAnswer: -3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -267 + 266.6. Let i(w) = -w**3 - 5*w**2 + 7*w + 3. Let a be i(-6). Let r be a\/12*4\/6. What is the nearest to r in b, 3, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 7:45 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -15 + 10 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -9*t - 2. Suppose 5*w + 2*s = -3*s + 55, t*w + s - 22 = 0. What is the remainder when 54 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 11958408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 10 = -0*k. Let s be (-5)\/k*(6 + -1). Suppose 0 = 3*a + s*b - 94, 6 = -4*b - 10. Is 38 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89c6c1 (base 15) to base 2\nAnswer: 11001000100101001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -0.18. Let i = -0.31 + -0.69. What is the closest to u in i, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-810)\/75)\/((-352)\/(-880))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10374 + 840232\/81. Let q = 116663\/156 + -9814\/13. Find the common denominator of b and q.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:18 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 28. Let a be c(-14). Suppose -4*v + 13 - 1 = a. Solve v*m - 5 - 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60654431?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 + 2*u\/5 - 12\/5.\nAnswer: 2*(u - 2)*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5028 divided by -648?\nAnswer: 419\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5241542 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3115 (base 8) in base 2?\nAnswer: -11001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132 + 266 - s - 134.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399880 and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1101.5 + -1101. What is the nearest to 0.05 in -1\/3, b, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(-3))\/((-7)\/(-7602))?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -49) + -1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 811, -1\/6, -7, -32, 5 in increasing order.\nAnswer: -32, -7, -2\/9, -1\/6, 5, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2*f*f**(-1)\/f*(f\/(f\/f**1))**(24\/7) assuming f is positive.\nAnswer: f**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13 - -14)*(104 - -1). Suppose -3*l + 17 = -5*q - 11, 0 = -4*l - 5*q - 21. Let n be 4*l\/4 + 14. Calculate the greatest common divisor of n and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 5. Let q = i + -2. Let n = q - 2. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1688*d + 2483. What are the prime factors of v(-10)?\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Suppose 0 = -b*q + 2*q + 10. Suppose -2*l = -4*o + 36, -4*o - q*l + 53 = 3. What is the smallest common multiple of o and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4337 - m - 4337. Determine d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -85 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.16 + -1.39. Round v to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (198\/(-12) - -17)\/((-2)\/(-26*2)). Let m(c) = -c**3 + 13*c**2 - 9*c - 14. What is m(t)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10815\/12)\/7 - (-6)\/(-8). What is the highest common divisor of t and 1664?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgll when four letters picked without replacement from {l: 5, g: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:49 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99418?\nAnswer: 2, 11, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -21. Suppose -5*b = 3*w - 161, -3*w + w = 2*b - 102. Let h = s - w. Round h to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2 - 4*p**2 + 22 - 11 + 13*p + p**2. Let l(t) = t**2 + 6*t + 5. Calculate 13*l(q) - 6*x(q).\nAnswer: q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/((l*l**(1\/7))\/l*l))\/l*l*l\/l**4*l)**(-30\/13))**50 assuming l is positive.\nAnswer: l**(12000\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-6)*(1\/1)\/((-27291)\/57063).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37 - 5. Let z = 20.1 - i. What is z rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -33 + 12 + -15 - -44?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m - 56924 = 0. Let x = 24492 + m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 11 + 4)*(-221*k + 131*k + 304*k).\nAnswer: 428*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8658767 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4454\/12838)\/((-17)\/(-2)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + (4 - (3 + -1)) + (-713 + 502 - -207).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 936 less than -1.112?\nAnswer: -937.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11133552 + -3?\nAnswer: -11133555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**4 + 21 - 2*h - h - 3*h**3 - 3*h**2 + 11*h**2 - 13 to b + n*h**4 + x*h**2 + r*h + w*h**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -45*i**4 + 300*i**3 - 590*i**2 + 300*i - 45 = 0.\nAnswer: 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14.688*-0.28\nAnswer: 4.11264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6851333611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10741543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -57, -87, -123, -165, -213?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 0*k**2 + 1\/4*k**4 - 20*k + 0*k**3 + 0. Let a(w) = 13*w. What is a(s(r))?\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -4 (c) -2\/11 (d) -5 (e) -240\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 380083, 379628, 379187, 378766, 378371?\n\"Answer: m**3 + m**2 - 465*m + 380546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 10 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 7*l + 10. Suppose 94*p - 101*p + 28 = 0. Suppose p*t + 0*t - 2*s + 32 = 0, 0 = 4*t + 5*s + 4. Determine z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -964 (base 14) to base 12.\nAnswer: -10a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1827 and -0.22.\nAnswer: -1827.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 160?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 8:16 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + 0*a**2 + a**2)*(2*a + 4*a - 4*a) + 8*a**3 - 8*a + 8*a - 12*a**3 + 43*a**2 - 43*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 11\/15*z**6 + 2*z**4 - 23*z + 0*z**2 + 0*z**3 + 0 + 0*z**5. Find the third derivative of v(s) wrt s.\nAnswer: 528*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 800*j - 5 + 162*j + 42*j as q + g*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - 546\/9. Let m = r - -194. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -716 + 1299. Suppose 0*h = -4*h - 2*t + 470, 5*h = 2*t + z. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-2 - 39\/(-18)). Let n be 13\/(-3) - (-22 + 17). What is the biggest value in n, v, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g. Suppose g = 3*l - 5 - 1. Find the third derivative of -q**3 + 5*q**3 + 4*q**3 - q**l - 5*q**3 wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - (14 + -18) - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 25*c - 83. Calculate o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s = -4*x + 6717, -s - 6687 = -4*x. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.387978 millennia in centuries?\nAnswer: 13.87978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7690962007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 157710 and 3150?\nAnswer: 2365650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/15)\/(9\/5). Let i(l) = 2*l + 12. Let f be i(-8). Let s = -4.2 - -4.3. Which is the second smallest value? (a) s (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3078 (b) -4 (c) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17701 - 5855. List the prime factors of d.\nAnswer: 2, 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6253 in -3, -0.4, -5, 2\/7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -654 + 657. Which is the fourth biggest value? (a) n (b) -0.19 (c) 1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.007 - -0.058. Let g = x - -0.935. Let r = -118 + 117.8. What is the nearest to 1 in r, -0.36, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -2.669.\nAnswer: 8.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 1414, 2138, 2878, 3640, 4430, 5254, 6118?\nAnswer: 7028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 571.5452 litres to millilitres.\nAnswer: 571545.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 1628903725.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/387727949 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4653399681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 222022101210?\nAnswer: 222022101121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, -14, 3, -850, -1 in increasing order.\nAnswer: -850, -14, -1, 3, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -4682620 to the nearest 100000.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28*75\/40*(-12)\/(-30). Solve -162*f + 15 = -161*f - 4*l, f + 5*l + j = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/((30\/5)\/12) + -2)*3. Solve -x*v + 487 - 433 = 0 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1625481*z + 7223876 with respect to z.\nAnswer: -1625481","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + sqrt(528)*-1)\/((sqrt(11) + (sqrt(1100) - sqrt(11)))*4 + sqrt(11) + sqrt(11)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 4 (c) 2.5 (d) -29 (e) 17 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - 537429846.\nAnswer: -537429818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1375637 is divided by 418.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*k - 1. Let f be k\/(0\/1 - -7). Suppose 3*o + 3*x - 1 = -13, 0 = -3*o - 5*x - 22. Which is bigger: f or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 3\/7, -1\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/15)*f*f)**(7\/6)\/(f\/(f\/(f**16\/f))*(f**(-1\/29)*f)\/f*f))**40 assuming f is positive.\nAnswer: f**(-143944\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = n - 10, -10 = -3*x + 5*n. Suppose 0*y + x*y - 25 = 0. Let d = -1 + 1. Which is the biggest value? (a) d (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 + l**4\/3 - 132*l**2 - 2*l. What is the second derivative of d(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -249*w**2 - 248*w + 1.\nAnswer: -(w + 1)*(249*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128, -862, -2854, -6734, -13132?\n\"Answer: -105*v**3 + v**2 - 2*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r. Let c be a(5). Suppose -2*i + 95 = c*o, 167 = 5*i - 4*o - 21. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*p - 9 + 2, 13 = 2*p - 3*s. Suppose 2*j + 201 = 3*w + 2*w, -p*j + 168 = 4*w. Let f = w + -27. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -7.5. Suppose -4*x + 2*u = -2, -5*x + 2*u + 15 = -3*u. Let f be (-1 - -1) + 0\/x. What is the nearest to -2\/5 in 2, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/7)\/(o\/o**(-1\/6))*(o**(-2\/5))**(2\/83)*(o**(2\/5)*o*o*o**(3\/4))\/(o**5*o*o**(1\/5)) assuming o is positive.\nAnswer: o**(-167249\/34860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2229?\nAnswer: 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**5 + 5*j**4 + 3*j**3 + 9*j**2 + 5. Let o(t) = -t**5 - 7*t**4 - 3*t**3 - 9*t**2 - 6. Let k(n) = 6*a(n) + 5*o(n). Factor k(c).\nAnswer: c**2*(c - 3)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bgbgbbmbqbwbsgbbbbb. What is prob of sequence swqm?\nAnswer: 1\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 11:12 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 118.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.53 + -0.63. Let t = -15 + 7. Let v = t + 3. Which is the second biggest value? (a) q (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38959390 and -0.03.\nAnswer: 1168781.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*z - 153*z + 454*z - 136*z.\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 3 - 18*c - 7)*(-5*c + 2*c - c) in the form f*c + a + z*c**2 and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*-6*3\/(-42).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljogj. Give prob of sequence jjg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {e: 1, t: 2, b: 1, a: 2, q: 1, w: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -581*j**3 + 46*j**2 - j + 9717992 wrt j.\nAnswer: -1743*j**2 + 92*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2245\/160 - 14)*(-54 - 1) and 99\/1220?\nAnswer: 9760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -205.66?\nAnswer: -205.66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.1 + -13.9. Let z = -15 - s. What is the closest to -2 in z, -2\/7, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnddtdnddqqttdn. Give prob of picking 2 t and 1 n.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a**2 - 2. Let j(b) be the second derivative of b**4\/3 + b**2\/2 - 9*b. What is 11*j(q) + 6*t(q)?\nAnswer: 2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*f - 17. Let c be (-4)\/(-20) - 3\/f. Factor -1\/2*m + 1\/2 - 1\/2*m**2 + c*m**3.\nAnswer: (m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0289501614 to 5 dps.\nAnswer: -0.02895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(630)*3)\/sqrt(10) + sqrt(63) + 3*3*sqrt(63) + sqrt(63))\/(-4*(sqrt(27)\/sqrt(3)*-2 - (sqrt(81)*1 + sqrt(81)))).\nAnswer: -7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*j + 135 - 6 = 0, -2*c + j = -62. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13654.924 - 13786. Let b = -30.993 + a. Let z = -162 - b. What is z rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 (base 5) in base 7?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a**2 + 5*a - 4. Let x(v) = 10*v**2 + 6*v - 5. Determine 7*f(g) - 6*x(g).\nAnswer: 10*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -660.6*-0.123\nAnswer: 81.2538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 9, 17, 39, 81?\n\"Answer: w**3 - 2*w**2 - w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 226, -4622, -12700, -24008?\n\"Answer: -1615*p**2 - 3*p + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 12:15 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 124395 divided by 8293\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11018*x**4 - 4*x**3 - 27*x + 3*x**3 - 11076*x**4 to f*x**3 + u + a*x**4 + z*x**2 + m*x and give m.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 38*t + 226. What is c(-27)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/180 - n**5\/20 + 25*n**4\/24 - 17*n**2. Let d(j) be the second derivative of q(j). Differentiate d(w) with respect to w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + sqrt(272)*1 + 5 + -6*((sqrt(612) - sqrt(17))**2 + 3).\nAnswer: -2563 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**3\/3 - 15*c**2\/2 + 18*c + 9. Let m be k(-16). Let a(l) = m + 3 + 2*l - 5. Let x(d) = 5*d**2. What is x(a(o))?\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, l: 1, r: 7, d: 9}. Give prob of picking 3 r.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3192?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 26\/5 of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(5) - (sqrt(5)*2 + sqrt(5)))*-1 - ((sqrt(720) + sqrt(720) + sqrt(720) + 1 - sqrt(720) - sqrt(720)) + sqrt(720))).\nAnswer: -22*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3\/2 (b) 0 (c) -69 (d) -7 (e) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 4*i + p + 319, 0 = 4*p + 12. Let n(q) = 2*q**3 + 6*q**2 - 3*q - 7. Let l be n(-3). Calculate the common denominator of i\/(-12)*(l + 1) and -19\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*z**4 + z**3 + 26*z**4 + z - 12 + 22*z**4 - 2*z**2 + 0*z**2 + 17*z**4 as d*z**2 + v + b*z**3 + a*z + s*z**4 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*v, 3*c + 5 = 2*c + 2*v. Let x(p) = p**2 - 1. Let j(h) = 2*h**2 + h - 6. Let b(y) = c*x(y) - j(y). What is b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -7) + -108 + -6. Suppose -d + 112 - 44 = a, 0 = 3*a - d - 188. What is the least common multiple of a and (l\/(-45))\/((-3)\/(-27))?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 6*m**2 - 18*m + 41. Let l be s(4). Solve 3*i + 3*w = 2*i + l, -3*w + 3 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 + v**2 - 4*v + 3. Let t(u) = 11*u + 68. Let h be t(-6). Calculate the remainder when k(h) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -383493.8 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f = -15. Let j(u) = -u**2 + 7*u - 6. Let k be j(5). Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -416 divided by -13.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -170392.763 and 2?\nAnswer: 170394.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56160156 by 5.\nAnswer: 56160156\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 11*r - 100. Let t be k(17). Solve 4*w = -3*v + 14, t*v = -3*w + w + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-101)\/(33\/78 - (-2)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 7 + 11)*(0*x**2 - 5*x**2 + 10*x**2) + 4*x**2 - 2*x**2 + 0*x**2 as i*x + n + d*x**2 and give d.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -0.1 (b) -13 (c) 4\/9 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(70\/20)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2425, 4849, 7271, 9691, 12109, 14525, 16939?\n\"Answer: -g**2 + 2427*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.94974 kilometers in meters?\nAnswer: 83949.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1216) + 0)*-3*-3 + 1.\nAnswer: 1 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psj when three letters picked without replacement from sppsppssssjsjksp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*o = 30 + 944 + 3676 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 8. Suppose 55 = 4*c + 43. Solve -3*t + c = -y, 5*p - t = -28 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 10*v**5 + 226458*v**4 + 11253668*v**3 + 19432368*v**2 - 4338432*v = 0.\nAnswer: -22596, -48, -2, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -46 - 60*d**2 - 24*d - 65*d**2 + 145*d**2. What is the thousands digit of p(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 5*d + 44 - 12, 0 = -5*d. Find the second derivative of -a - 7*a - 10*a**4 + p*a**4 + 10*a**4 wrt a.\nAnswer: 96*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1475)\/118*2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8820 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15797412 to the power of 1\/2, to the nearest integer?\nAnswer: 3975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285*x**6 - x**2 - 10*x wrt x?\nAnswer: 34200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 543 + -589.2. Let b = x - -76.2. Which is greater: b or -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.26969 + -0.27. Round j to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -0.3. Let k = 6.5 - 7. Let r = -1932 + 1935. Which is the second biggest value? (a) r (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*r**2 - 1912\/7*r - 456968\/7.\nAnswer: -2*(r + 478)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270274 is divided by 270055?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351 - 12*i + 1351.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 29*y - 15964 = -16990 for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 306\/170 - 18\/10. Let z = 9 + -5. Solve y = f + 2*k - z - 1, -18 = 3*f - 5*k for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 9. Let k(d) be the third derivative of -26*d**2 + 0*d + 0 + 11\/3*d**3 - 1\/12*d**4. Give -12*g(l) + 5*k(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223200 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 278395445 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1841784 and 15684?\nAnswer: 1826100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 15, 5, -1, 1032, 0 in ascending order.\nAnswer: -5, -1, 0, 5, 15, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, 1.67, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 963, 1019, 1113, 1245?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -5371?\nAnswer: -5371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 719.98 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and -3449.\nAnswer: -3449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41425 or -41416?\nAnswer: -41416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - p**2 - 2*p - 1. Let v be r(2). Let w = v - -13. Solve -3 = 5*h + w for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + g - 2. What is the tens digit of n(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 39*l - 34*l = 131, -f - 131 = -8*l. Is f >= -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 53 - 12 = 0. Let z = 1 + d. Calculate the highest common factor of z and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1\/3, 6\/7, 2\/261, 1\/13?\nAnswer: 2\/261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1819, 1520, 1233, 958, 695, 444, 205?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2. Let a be h(-5). Is a less than -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18869*l**3 - 172*l**2 - 255488926 wrt l.\nAnswer: 56607*l**2 - 344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from nrfwf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30.7 - 58.6. Let l = y + 28. Let t = 11 + -8. Sort l, t, 2\/5 in increasing order.\nAnswer: l, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5164862*f. Let a(i) = 11*i. Give a(s(n)).\nAnswer: 56813482*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 0. Find the second derivative of 5*k**2 + p*k**2 + 18*k + 10*k**2 + 5*k wrt k.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v, 0 = -5*w + 5*v + 183 + 422. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 815\/99 + (-52)\/9 + 6. Let r = -415\/66 + y. Which is the third biggest value? (a) 4 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.004 + -0.038. What is f rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(3)*6)**2 - (sqrt(65)\/sqrt(5) + -1)**2)*2.\nAnswer: 4*sqrt(13) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o, 2*q - 883 = 2*o + 259. Suppose -107*w = -98*w - q. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.2 - -0.7. Let n = 66 - 63. What is the third smallest value in a, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-4))\/((-2)\/248) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (714\/10)\/((-19)\/(-190))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 4*b = 0, 4*m + m - 2*b = -63 + 73 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 56. Let f(s) = -s**3 - 5*s**2 + 6*s + 2. Let t be f(-6). Let b(r) = -2*r**2 + r**2 + t*r**h + 0*r**2. Let g(p) = 2*p. Determine b(g(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -21. Find the third derivative of 6*c**2 - c**2 + 15*c**6 - 38*c**3 + 38*c**d wrt c.\nAnswer: 1800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1\/4, 3, -3, 1.24 in ascending order.\nAnswer: -3, 1\/4, 1\/3, 1.24, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwujbbnbwwww. What is prob of sequence jbw?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: bc4 (base 16) to base 9\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9439 = -121*n - 8834 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 135*c - 132. What is z(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - x = 39, 5*o + 49 - 127 = -70*x + 135*x - 63*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 5:44 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7577834270.3 and -35.\nAnswer: -7577834305.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**5\/120 + v**4\/8 + 55*v**3\/12 - 1497*v**2. Solve g(o) = 0.\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 56 = 2*w, -2*k = 2*w - 27 + 3. Calculate the smallest common multiple of k and 5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -24.33 and 0.5?\nAnswer: 24.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2 + 4*w**2 - 2*w + 2*w + 0*w. Let a be (-5)\/(15\/6)*-1. What is the tens digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2374122 (base 8) to base 5.\nAnswer: 131402034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l - 5*l**2 - 10 + 21 + 3*l**2 - 8 - 5*l**3 - 4 in the form h*l**3 + a*l + w + k*l**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 9*c**2 - 57*c + 18 = 0.\nAnswer: 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3876800 rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/(-3))\/((-8)\/72). Let t = 57 + f. Let g = 28 - t. Solve 6 = 3*p - 3*k, -5*k + 11 = g*p + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 7*z - 4. Suppose 0 = -p - 4*p + 75. Let v be 1\/(((-12)\/p)\/4). What is f(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1445 - 1444. Sort -5, -19, 0.4, r in decreasing order.\nAnswer: r, 0.4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j - 9009*j**3 + 1 - 2 + j.\nAnswer: -9009*j**3 + 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231065\/9 + 25672. Find the common denominator of 26\/(-4)*(-14)\/(-12) and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.000004 + -3. What is u rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*a - 5, 2*z - 2 = -a + 1. Let j(q) = 19*q**3 + q**2 - q + 1. Suppose 0*m = 3*m - 66. What is the least common multiple of j(a) and m?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)\/(14 - 16). Let d(b) = 12*b**2 + z*b**3 + 4 + 11 + b**3 + 6*b - 3. List the prime factors of d(-11).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okvu when four letters picked without replacement from {k: 8, o: 5, v: 2, u: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78 - 108. Let m be 440\/w*(-42)\/4. Let p = 63 + m. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 219.4 + -226. Let t = 6.5 + z. Which is the nearest to t? (a) 2 (b) -21 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from lxxyxlxxxyyxyyy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:56 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**3 + 101*q**2 - 101*q**2)*(2*q + 2*q - 6*q).\nAnswer: 14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111121 (base 3) to base 4.\nAnswer: -303103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = -35*h + 1. Let q be (h + -1)*(-2 + 5 + -4). Is (q + -613)*(-15 + 14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-2793)*38*70*(-4)\/8.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41 * -45.5.\nAnswer: 1865.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88.83*-0.238.\nAnswer: 21.14154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8368966 is divided by 71.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 151, 310, 483, 676, 895, 1146, 1435, 1768?\n\"Answer: a**3 + a**2 + 149*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, x: 1, p: 1}. Give prob of sequence kkkx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of ((-45)\/6)\/((-3)\/44*1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*b = 76*b + 24445 - 795 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {v: 1, l: 7}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 2\/7 (c) 3.44 (d) 0.2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61300*u**2 + 31295*u?\nAnswer: -122600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 - (114 + -133 + (2 - -67))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 34035462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*p = 6, 3*w - p - 12 = 3*p. Suppose w = 5*t - 5. What is the greatest common divisor of t and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 97*h**2 - 198*h - 3399. What is the thousands digit of d(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21335 (base 13) to base 7.\nAnswer: -336356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394 or 392?\nAnswer: 392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.005 and 52624.\nAnswer: -263.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 h when four letters picked without replacement from lehexxhxlx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 137165.78941 - 137165. Let j = f + -0.79. What is j rounded to 4 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/((-102)\/(-204))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-33)\/(159\/(-351) + (-12)\/(-54))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 4:43 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 2, r: 5, z: 1, l: 1, n: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -56\/1889?\nAnswer: -56\/1889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 15 + 2*-3)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f**2 - 3*f - 4. Let u(q) = 9*q**2 - 5*q - 7. Let g(a) = 7*m(a) - 4*u(a). Let p(r) = 3*r**3 - 2*r**2 - r + 1. What is -2*g(s) + p(s)?\nAnswer: 3*s**3 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.025 + -0.0102. What is p rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/208 and -17\/24.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 q when four letters picked without replacement from {v: 13, g: 2, q: 5}.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + z**2 + 2*z + 228. Let g be s(0). Let p = 229 - g. Which is the second biggest value? (a) 5 (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-9) + (-2028)\/507. Which is the closest to z? (a) -3 (b) 17 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -388 + 388. Suppose n = -3*j - 12, -d + 4*j = -5*d + 260. What is the remainder when 342 is divided by d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45073421 - -42?\nAnswer: -45073379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 0.1, 0.3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/20 - 3*l**4\/8 + 37*l**2. What is the second derivative of a(w) wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/48074277 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l. Let n(p) be the first derivative of p**3\/3 - 12. Calculate n(i(z)).\nAnswer: 25*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 15 = 4*x - 43, u + x = -11 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**2 - 5*n**2 + 2*n**2 - n**2 - 4*n**2 + 2*n**2 + 2*n**2 + n**2 - n**2 - 2*n + n**2 + 2*n + (0 - 1 + 0)*(0*n - n**2 + 0*n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2996266799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/12 + (-249)\/4. Calculate the remainder when v\/(0 + -2) + 0 is divided by 0 + (0 - 0) + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 612 and 3601428.\nAnswer: 183672828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-3) + (-4)\/3. Solve -3*x = c*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80*h**2*t**3 + 31*h**2*t + h*t**2 + t wrt t.\nAnswer: 480*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 0.4, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyo when three letters picked without replacement from szzwykyzzkoo.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.92912g in tonnes?\nAnswer: 0.00008392912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyylyzyyyylyy. Give prob of picking 2 y and 1 z.\nAnswer: 91\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 + -65. Calculate the remainder when 35 is divided by 178\/9 + m\/(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 404 + 391?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, 5, -132, -4, 0, 54, 2 in decreasing order.\nAnswer: 54, 5, 2, 0, -4, -94, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 46639*g. Let f(v) = 2*v**2. Give q(f(k)).\nAnswer: 93278*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 + -97.6. Let p = 1 + -0.1. Let t = -1 + p. What is the nearest to 2\/7 in t, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -31.\nAnswer: -31, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*s**2 - 14 + 9 + 4*s**3)*(-2 - 4 + 4)*(3*s + 3*s - 3*s).\nAnswer: -24*s**4 + 18*s**3 + 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - i + 3*i + (i - i - 2*i)*(-1 + 0 + 0) + 6 - 120836*i - 6 + 105876*i to o*i + w and give o.\nAnswer: -14956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21579 is divided by 1340.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*b + 134787 - 130887 = 0 for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 10:53 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -0*u. Let r(o) = -3*o**u + 0*o**2 + 2*o**2. Let a(l) = l**2. Calculate a(r(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3 - 7 + 2*n**2)*(1046 - 78 + 294) + 2*n**2 + 0*n**2 - 1 + 0*n**2 to the form r*n**2 + w*n + u and give u.\nAnswer: 2523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*g - 78 = -4*q + 500*g, 183*g - 260 = 6*q + 173*g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -592, -2391, -5390, -9589, -14988?\nAnswer: -21587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -5. Suppose 5*p + 5*f - 8 - 32 = 0, -2*f - 14 = -3*p. Suppose p*q = 2*q. Put k, -3, q in increasing order.\nAnswer: -3, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*f**3 - 10*f - 18*f + 42*f - 15*f to s*f + t + r*f**3 + h*f**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 = -y - 62. What is the greatest common divisor of 38 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = 3*r + 29*k, -1064*r + 1066*r = -5*k + 26 for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/16983 and 35\/4254741.\nAnswer: 72330597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 456020, 912042, 1368072, 1824110, 2280156, 2736210?\n\"Answer: 4*q**2 + 456010*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 28*x**2 + 174*x - 4004. Calculate h(27).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 25350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieieeilkeilliiiiiil. Give prob of sequence lik.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3866835888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69742873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153987 by 1.\nAnswer: -153987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**2 + 54*q + 1237. Calculate a(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**3\/6 + 2*u**2 + 2*u - 7. What is i(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -117 + 97 - (-19 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 a when four letters picked without replacement from {h: 1, a: 12, o: 3}.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 131 and 1691\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(34)\/sqrt(2))*1.\nAnswer: 1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*s + 52*s - 26*s)*(6 - 5 - 2) + (0 - 4 + 0)*(2 - 3*s + 5*s - s).\nAnswer: -61*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -10*u - 730. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -120 and -20366?\nAnswer: 20246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 5:03 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*o - 50 - 35 = 0, 0 = -d + o + 25. Is d < 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2 + 2*k + 24 = 0.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574480.\nAnswer: 2, 5, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 7:28 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 47108*f + 141306 = 0. What is f?\nAnswer: 3, 23551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.0686, -0.4, -273?\nAnswer: -0.0686","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 29. Let v = -11 + q. Solve -2*f = -v*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + 9. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 8*k + 9. Let u(w) = 2*w**2 - 9*w - 9. Let s(m) = 4*u(m) + 3*y(m). Suppose p = -6 - 4. Is s(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54*r**3 + r - 159 wrt r?\nAnswer: -162*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-125)\/75*6\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**5*w**2 + 26*k**3*w**2 + 9*k**2*w**2 + 4*k**2 wrt k.\nAnswer: -240*k**2*w**2 + 156*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3683270*s**2*t - 195*s**2 + 1136 wrt t.\nAnswer: -3683270*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 6) to base 4.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 325 + 54. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 97 and 207 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**3 - 2*m**2 - m. Suppose -5*b - 4 = -b. What is y(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 at most 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 72*a + 57. Does 18 divide q(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and 6.325.\nAnswer: -1.07525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m - 50. Let v be f(-8). Suppose -4*d = -3*x + v, -3 = -2*x - 4*d + 5. Calculate the highest common divisor of x and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0 (c) 1\/55 (d) -1\/4 (e) -0.0023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11581 and -0.2?\nAnswer: 11581.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.2. Suppose 5*i + 3*i + 23 = i + 2*a, 0 = -a + 1. What is the closest to i in g, 2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 4*m. Suppose -7*r = -2*r + 55. Let g = r + 9. Let k be u(g). Solve 0*h = 4*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**(-2\/11)\/x)\/x*x**(-4\/3))\/((x\/x**(2\/3))\/x)**(-1\/34) assuming x is positive.\nAnswer: x**(-474\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2987.5777 times 0.3?\nAnswer: -896.27331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**5\/20 - z**4\/3 - z**3\/6 - z**2\/2 - 38*z. What is a(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4, 2*g = 4*g - 3*b - 188. Calculate the remainder when (g - -1) + -6 + 7 is divided by (18\/(-21) + 2)*21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*f - 10992 - 11149 + 22141.\nAnswer: 76*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -795462, -795451, -795440?\nAnswer: -795429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 - 3*w**2. Let k be o(2). Let r(h) be the first derivative of -2\/5*h**5 + 0*h**2 - 2*h - 2 + 4\/3*h**3 + 0*h**k. Factor r(t).\nAnswer: -2*(t - 1)**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Let p(o) = -9180*o - 153. Let v(x) = -3*x. Let a(z) = -289*z - 5. Let u(n) = -a(n) - 4*v(n). Let s(y) = 5*p(y) + 153*u(y). Calculate f(s(h)).\nAnswer: -153*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 16*g**2 + 276*g - 1771. Calculate x(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -27 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7010613?\nAnswer: 3, 17, 45821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 - 137*l**2 - 324*l + 45. Calculate q(-66).\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u - 73. Let o be g(-20). Let w(p) = -2*p**3 - 26*p**2 - p - 12. Let z be w(o). Solve 0*d = -d - z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/18*(-43)\/1075?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40559 is divided by 5054?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10271 + 10271. Which is bigger: r or 2\/4373?\nAnswer: 2\/4373","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (253 - 261)*(3354\/(-48))\/(-13).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 14016?\nAnswer: 14022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594894610?\nAnswer: 2, 5, 59489461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-5))*h)**21*h**10*h*h**(-2\/15)*h)**50 assuming h is positive.\nAnswer: h**(20680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3012307124776 and 0.15.\nAnswer: 3012307124776.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4.93413 times 31\nAnswer: 152.95803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 140790.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-7)*(-140)\/(-15). Suppose -g*f = -0 + 8. Let a be 0\/f*10\/(-20). Solve 3*z - u - 7 = a, -z + 17 = 4*z + u for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -154*k**3 - 240*k**2 + 82*k + 11. Is c(-17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, 1629\/295, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000975148 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11868302377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467557623 to the power of 1\/2, to the nearest integer?\nAnswer: 38309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538798603 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*i = 30. Suppose -i*r = -12*r + 112. What is the remainder when 47 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11409, -5, 1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*g + 292*g + 287*g - 1168*g + 2*g**2 + 294*g.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 13 = 7. Let n be h + 212\/16 - 1\/4. Let y = n - -28. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -363389.9472 to the nearest 100.\nAnswer: -363400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33025 = 1309*t + 8154 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(153) + sqrt(153))**2 + (0 + sqrt(153) + 0)**2.\nAnswer: 12*sqrt(17) + 766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**28\/q)\/q**(17\/5) assuming q is positive.\nAnswer: q**(118\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8582 + -8512. What is the greatest common divisor of a and 8106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10913000 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t + m - 10, -5*t - 12 = -t + 2*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48742 and 10.\nAnswer: 243710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**20*t**(-16) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12794 by 196.\nAnswer: 6397\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 - -0.82.\nAnswer: 28.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 12) + (-16 - -19) - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -2\/5, 21\/4, -0.263, -1081?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/6 (b) 471 (c) 0.25 (d) 34.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2*2\/(-6))\/(8932\/(-10440)) and 9\/187.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-7)\/35*(-1)\/1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 7*k + 5. Let l be 3 + 3\/6*4. Let t be r(l). Is t <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 2*t\/13 - 40\/13.\nAnswer: 2*(t - 5)*(t + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004845757 rounded to seven dps?\nAnswer: -0.0004846","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94027 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 a when four letters picked without replacement from aanyyyynyyaya.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2 + 59. Let l = -9 - m. Let q be (((-2)\/(-7))\/(-1))\/((-7)\/98). Solve -q*o = -9*o - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3384 and 23688.\nAnswer: 23688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 445 divided by -56336\nAnswer: -445\/56336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v + 1. Let b(o) = -18*o - 17. Let j(u) = 17*u + 19. Let k(d) = -7*b(d) - 6*j(d). Determine 2*k(p) - 11*x(p).\nAnswer: -7*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -46, -113, -248, -475, -818, -1301?\n\"Answer: -4*o**3 + 2*o**2 - o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 29. Let z be h(13). Which is the nearest to 2? (a) 0.2 (b) -2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-3 - -1 - -4). Is (-2)\/(3*x\/(-531)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8001.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 + 28*y - 1. Let i(d) = -16*d**2 - 141*d + 5. Calculate 2*i(h) + 11*r(h).\nAnswer: h**2 + 26*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x + 15 = 0. Suppose 5*l - 33 = -x*d, 0*d = 4*d - l - 44. Solve -5*g + d = -4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1425, -328 in descending order.\nAnswer: 1425, 0, -3, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 - 31731?\nAnswer: -31673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -0.2?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, -5593270, 4 in ascending order.\nAnswer: -5593270, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 2:12 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 665813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/15 and -149\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3239.365ml?\nAnswer: 3.239365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 541 - 7. Let x be r\/9 + 10\/15. What is the greatest common factor of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 2*o + 4*o**4 - 2*o**2 + 30 to the form r*o**2 + z*o + q + v*o**4 + b*o**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s**2 - 2*s. Let a be m(2). What is the units digit of 10 - (0 - (a + -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -100.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -21 - -1172214?\nAnswer: 1172183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**2 - 27*l + 34. Give w(-17).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2248*n**2*o**3 - 8*n*o**3 + 24*n*o wrt n.\nAnswer: 4496*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.6 - -41. Let q = -3.4 + l. Which is the second smallest value? (a) q (b) -9\/2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/12)\/(21\/56). Let y(l) = l**p - 10*l**2 + 9*l**2 + 2*l**2. Let m(d) = -3*d**2. What is m(y(a))?\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -253 - -2016. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1703 divide 9943817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53292 is divided by 251?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p - 9. Let k be m(-9). Let w(d) = 3*d**2 - 3*d - 3*d + d**3 + d**2 + k*d**3 - 6. Let x be w(-5). Is x equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4483 = 11*v - 156*v + 3057 for v.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 14\/(-14) + 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 0.5 (c) 0.2 (d) -8819\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 28764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21545050 (base 6) in base 16?\nAnswer: 9f1b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/(-38)*(-3)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 268*u**2 + 12*u - 72. Let l be o(6). What is the highest common divisor of l and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -87. Let m(w) = w**2 + 2. Determine m(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -217*a**6\/3 - a**3 + 25*a + 268. Find the third derivative of s(k) wrt k.\nAnswer: -26040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -133 and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6191*w. Let d(k) = -k. Calculate o(d(x)).\nAnswer: -6191*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 29, -0.5, -0.3 in descending order.\nAnswer: 29, 4, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12227118 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 2*w - 7. What is s(4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 0*d + 5*d + d. Give u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*n = -121*n + 40*n - 182*n - 37170 for n.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1934031429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 24 + (-16 - 24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110.98 - -4.52. Round z to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 269\/(-24) - (-2)\/6 and -119\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + 9*s - 19. List the prime factors of m(-11).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**3 - 28*m + 16 - 3*m - 15 - 6*m in the form v*m**3 + f + k*m**2 + l*m and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**6\/210 - 66*b**5\/35 - 3267*b**4\/14 + 970*b**2. Factor w(s).\nAnswer: -4*s*(s + 99)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**2\/2 + 11. Let g(i) = -1. Let x(c) = -c - 6. Let o(p) = 6*g(p) - x(p). Give o(j(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -0.8, 0.048, -12\/11?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 32705.01119 to the nearest 10.\nAnswer: 32710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -254.56 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*p - 7*p**5 + 3*p**4 - p**4 - 2*p**2 + 397*p**3 - 397*p**3 wrt p.\nAnswer: -420*p**2 + 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -246461360?\nAnswer: -246461354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 666, 749, 872, 1023, 1190?\n\"Answer: -2*d**3 + 32*d**2 + d + 635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989 - 113 = 104*a + 151*a - 36*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -85*x**3 - 2*x**2 - 2*x - 2. Let b(z) = 64258*z**3 + 1513*z**2 + 1513*z + 1513. Give -6*b(c) - 4539*q(c).\nAnswer: 267*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17110808 divided by -143?\nAnswer: -119656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 390 = 5*x. Let g be (-21)\/28*(-1 + 349). Let r = x - g. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 2, k: 1, w: 1, z: 2, q: 4}. Give prob of picking 1 i, 1 z, and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**3)**21)**39 assuming y is positive.\nAnswer: y**2457","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(504)\/sqrt(128))\/sqrt(9) - (4 + (1*sqrt(77))\/sqrt(11))**2) + 3)*5.\nAnswer: -465*sqrt(7)\/4 - 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 248285 = -100*p. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - o + 3, 0 = -2*c + o - 3*o + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1179.182 rounded to the nearest integer?\nAnswer: -1179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2670.94858 - 2671. Round s to three dps.\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.004 + -30. Let r = 3.004 - m. What is the closest to 0.1 in 2\/23, -2, r?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1725*y**3 + 15519*y**2 + 13746*y - 48.\nAnswer: 3*(y + 1)*(y + 8)*(575*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20014 or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3078))\/(sqrt(54)\/sqrt(3) + sqrt(2)) - (((sqrt(152) + (2*sqrt(152) - sqrt(152) - sqrt(152)) - sqrt(152))*1)\/(sqrt(40)\/(sqrt(5)*-2)))**2.\nAnswer: -9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:12 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*s - 488*s + 1498 - 1170 = -9626 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69 - 27.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2*27\/(-12)*(-18)\/27\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/7, -0.5, 35352?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 16. Let l be o(7). Suppose -2*j + 178 = 5*s, -2*s + 105 = s + 3*j. What is the greatest common divisor of l and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5.23.\nAnswer: -3.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - (281 - 324 - (-30 - -1))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 4*s - 5. What is the remainder when q(4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2.05. Let l = r + 2.95. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 6 - 0. Which is the closest to 0? (a) 1 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 470 + 468 + 3*z**2 - 938.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 176853037 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 2. Let k be z + 46 + (-4)\/(-2). Round k to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*o*p**3*q**3 + 14334*o*p**2*q**2 + 40*p**3*q**2 - 3065*p**2*q**3 wrt o.\nAnswer: 11*p**3*q**3 + 14334*p**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -514220 (base 6) in base 9?\nAnswer: -62363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/12)\/((-4823)\/16695)?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11.32911601 - 46.32911632. Let v = b - -35. What is v rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 252*c**4 - 6*c**2 - 250*c**4 + (-3*c**3 - 2*c**3 + 8*c**3)*(2*c - 5*c + 2*c).\nAnswer: -c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1621804322 to the nearest integer?\nAnswer: 40272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight ninths of a hour?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (44\/(-2849))\/((40\/(-4))\/(-1)). Let c(m) = m**3 - m**2 - 2*m + 1. Let s be c(0). Is p at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3 = -3*t, -4*t = 31*j - 28*j + 30 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 10. Sort 8, f, 0.2, -2 in descending order.\nAnswer: 8, f, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62883 or 62289?\nAnswer: 62289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 = -z, -z - 2*z - x = 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11*f**2 + 15*f - 5*f**2 - 7*f**2 + 0*f**2 - 9. Let x be w(12). Let b = x + -21. What is the highest common divisor of b and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 470b439 + -3?\nAnswer: 470b436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -969*b**2 - 89495*b - 187970995.\nAnswer: -1938*b - 89495","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a**2. Let t(u) be the first derivative of u**2 + 4. Give t(p(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -1a?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -19316 - 2769. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 18.03, 1, -43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.7547*1\nAnswer: -0.7547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21757716?\nAnswer: 2, 3, 41, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + -4 + sqrt(637) + sqrt(637) + 3 + 2 + 5)*2.\nAnswer: 20 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-2 - (2 - 2)). Let n(a) be the first derivative of a**4\/4 - 2*a**3\/3 + 3*a**2\/2 - 2*a - 99. Let l be n(t). Solve 12 + l = -4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 323*x + 346*x - 2 to o*x + w and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -78\/11 or 2\/2767173?\nAnswer: 2\/2767173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2 + 0*a - a**4 + 0*a**3 - 1\/2*a**2. Determine t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -344, -7, -0.044, -0.1, 2?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160, 156, 154, 160, 180, 220, 286?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*v + 12*v**2 - 2\/3*v**3 - 400\/3.\nAnswer: -2*(v - 10)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74158 + -74534.144. Let g = 0.144 + r. Let f = 375.99999694 + g. What is f rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 3, -112965 in decreasing order.\nAnswer: 3, -2, -5, -112965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (186\/15)\/(2\/5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5\/2 (b) 3 (c) -0.02 (d) -3 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*w - 3, -2*p = 4*w - 24 + 20. Is p not equal to -2\/5253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360*46\/69552*(-2)\/(-10)*7\/36?\nAnswer: 1\/108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 + 837*k**4 + 4284*k**3 - 6780*k**2 - 10224*k = 0. What is k?\nAnswer: -6, -1, 0, 2, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 4*j + 2*x, -j - 3*x + 443 - 487 = 0 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -427193*z**2 + 5*z - 148618 wrt z.\nAnswer: -854386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 55*k + 523 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0) + 3 - 0. Which is smaller: 3\/4 or s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 36, 134, 294, 510, 776, 1086, 1434?\n\"Answer: -p**3 + 37*p**2 - 6*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 9*k - 7. Give v(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83770326?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 138. Suppose 0*x - 3 = -x. What is the remainder when 9 is divided by v - (-1)\/(x\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47964 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:27 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11130232303 (base 4) to base 9.\nAnswer: 2616354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 32854 (c) -2\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 4*g**2 - 3*g**2)*(1 - 1 + 1)*(-7 + 6 - 4).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -42) + 132 + -175 + -128 + 1.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 4*g**2 + (-5*g + 4*g + 2*g)*(-3 - 5*g + 2 + 3*g) as z*g**2 + p + v*g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286555605 divided by -7.\nAnswer: -40936515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001011000010100101 (base 2) to base 13.\nAnswer: 50aa80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-2 + sqrt(77))\/(sqrt(448)*-3 - sqrt(7)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/150 - (6 + (-2115)\/125).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/3)\/((2\/(-5))\/(307980\/2950)))\/(-1).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:34 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 5*q**2 + 6*q - 1. Suppose -2*s = s - 12. Let a be x(s). Suppose 28 = -3*v + a*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103040*u + 202439*u - 10031*u.\nAnswer: 295448*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111100010111000 - -101000?\nAnswer: -10001111100010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 9. Let o be k(6). Suppose 0 = 5*n + 4*i, -o*n + 3*i - 37 = -2*i. Is n >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 31*v - 294525. List the prime factors of v.\nAnswer: 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 5*d = -8*w + 5, w + 5 = -5*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 456?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -46 - 7*p**2 + 113 + 2*p + 139 + 19*p**3. What is the second derivative of g(v) wrt v?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66038?\nAnswer: 2, 7, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lqllqqlllllqll?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 20. Let b = s + 15. Suppose 9*o = b*o. Solve w = 5, i + w + w - 9 = o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705 is divided by 358.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*x + 32, 4*x + 2*d - 14 - 18 = 0. What is the lowest common multiple of 56 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q. Suppose 3*z + 0 - 18 = q. Calculate the remainder when -4 - (-1 + 0 + -13) is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14448\/(-1548))\/(3 - (-3 + (-34)\/(-6)))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*g + 34 + 5 = 0, -5*c - 4*g + 83 = 0. Solve -8*h = -c*h + 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17678600 rounded to the nearest 100000?\nAnswer: -17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3607 is divided by (-1476)\/48*32\/(-24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -137*u**2 - 516*u - 169. What is c(0)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8930 = -5551300*o + 5551490*o for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7716229218.\nAnswer: 2, 3, 5861, 73141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/21)\/((-1)\/84). Let g = d - 19. Let a = -25 + g. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6056*g**2 - 39*g - 26862*g**2 + 39*g.\nAnswer: -32918*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.11, 4, 3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*o + 3*o. Let b be 4\/o*(-10)\/(-8). What is m in -m + b*m**2 + 1\/2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 5*d**2 + 4*d - 1. Let u be p(4). Put 1, -3, u, 3 in descending order.\nAnswer: 3, 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1225976.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2842\/(-77) - 2\/(-66)*-3. Sort i, -3, -5, 1 in decreasing order.\nAnswer: 1, -3, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 0.05, 2\/19, 4\/5, 2, -14?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54221 + 5265?\nAnswer: 62516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.7 - 0.7. Let u = 20 + s. Which is the smallest value? (a) 4 (b) u (c) -5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 971. Is i(-18) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.5 plus 1.9?\nAnswer: -127.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**5\/k*k*k)\/k)\/k)\/k**2*k**8\/k*k*k\/k**(-4))**(-1\/5) assuming k is positive.\nAnswer: k**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.32 + 3.3. Let n = -0.02 - h. Let l = -145\/14 + 21\/2. Which is the nearest to 0.1? (a) n (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83.8 + -77. Let b = -11.8 + a. What is the closest to 1.5 in b, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2\/7 + 258*o\/7 + 16641\/7 = 0.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 90?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 7:49 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = -46. Let q(n) = -n**3 - 6*n**2 + 3*n + 2. Let w be q(-7). What is the highest common divisor of w and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10888, -21447, -32006, -42565, -53124, -63683?\n\"Answer: -10559*v - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 2656116*m - 881869025682.\nAnswer: -2*(m - 664029)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.62 less than 8.417?\nAnswer: -43.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4836*m**3 - 10*m + 373. Let b(a) = 103977*a**3 + 216*a - 8019. Let x(l) = 5*b(l) + 108*s(l). Find the first derivative of x(g) wrt g.\nAnswer: -7209*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from jolo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*o, v + 6*o = 2*o + 26. Let k(l) = l**2 - 13*l - 220. Let x be k(-9). Let j = v + x. Solve -3*g + 2*g + 3*c - 5 = 0, -4*c = -2*g - j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from njjuarrnarauluj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2)*f)\/f**8*f**11\/f**3 assuming f is positive.\nAnswer: 1\/f","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -23. Let g = 16 + -9. What is the greatest common factor of m and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 283960, 568501, 853042?\n\"Answer: 284541*k - 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 32 - 19 + 107 - 2*z**2 - 7*z as y*z + i + b*z**2 and give i.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/2 - (-12261)\/1952 and -11\/4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 11:31 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -832 + 831.7524. Let t = f + 0.0476. What is the third smallest value in -4, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053*p = 615*p + 710*p - 1360 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/72)\/((-25)\/930). Which is smaller: m or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + -2 + 5 + 1 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66287 (base 9) in base 5?\nAnswer: -2401411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 7. Let s be h(-5). Let n = 166 + s. Suppose -y - 2*y = -n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.3 + -52. Let m = -32 - d. Is -1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(405) + -3 + -6*(sqrt(45) + -1) + 5)*6)**2*-5*-6.\nAnswer: -1519560 + 466560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 4*t - 18 = 0, 0 = -92*g + 76*g - 3*t - 26 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, -1, -3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5664076304 to the nearest integer?\nAnswer: 75260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/320 + 3*z**5\/80 + 9*z**4\/16 - 27*z**3\/2 + 72*z**2 + 2*z + 83. Let v(c) be the first derivative of a(c). Factor v(h).\nAnswer: -3*(h - 6)**2*(h + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + 0 + (3 + 0 + sqrt(1008) - (sqrt(1008) + 1 + 4)) + (sqrt(1008) + sqrt(1008) + sqrt(1008)*-2*3 + sqrt(1008))**2 + -3*2*sqrt(1008)).\nAnswer: -432*sqrt(7) + 54408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 236474 and 135128?\nAnswer: 945896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3\/15 - 4*c**2\/5 - 234*c\/5 - 1296\/5 = 0 for c.\nAnswer: -9, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -k - k - 13, -3*k - 15 = -3*z. What is the units digit of z\/((1 - 1) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65714531, -65714548, -65714591, -65714672, -65714803, -65714996?\nAnswer: -65715263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 11. Let v be u(-8). Suppose v*d + 18 = 3*q, -3*q = -5*q + d + 9. Suppose -q*f = -26 - 4. Calculate the lowest common multiple of f and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, h: 12}. Give prob of sequence lhh.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (12 + -8 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02322 rounded to four dps?\nAnswer: 0.0232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 987 + -8?\nAnswer: 97c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17812*z + 560 = -17832*z for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220022110 - -10?\nAnswer: -220022100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 12 = -2*p - 0*t, -9 = p - 4*t. Solve -u + 2 = 3*n - 2*u, -4*n + p*u - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1770 or 781?\nAnswer: 1770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14474 - 14474 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 788789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*z - 7532, -17*m + 18*m - 5*z = 1883. Calculate the highest common divisor of m and 2152.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.178843 weeks?\nAnswer: 21962.73744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -144, -482, -1146, -2244, -3884?\nAnswer: -6174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -14. Let w = b - -8. Solve 1 + 9 = -w*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 97, 3, 0.06, 75, -1, 0, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 41 = -2*d. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j - 1. Let x(k) = 12*k**3 + 48*k**2 + 36*k - 12. Let n(f) = 4*t(f) + x(f). Suppose n(u) = 0. What is u?\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 94514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 6:37 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3406\/667075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 16 = -2*q. Is -1*(-15 + q\/2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6880 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -808.762456 rounded to the nearest ten?\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + x + 1. Let t be (-3)\/(((-84)\/(-16))\/(-7)). Let n(s) = 26*s**2 + 29*s - 1. Let m(j) = t*b(j) - n(j). Determine d, given that m(d) = 0.\nAnswer: -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 11. What are the prime factors of ((-45)\/(-20))\/(1\/u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, 2.1, 2\/7, 0.13 in ascending order.\nAnswer: 0.13, 0.2, 2\/7, 0.4, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 75.41.\nAnswer: 77.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 81886.03ug?\nAnswer: 0.00000008188603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a - a - 2*a**2 - 5*a. Let l(f) be the third derivative of f**6\/180 + f**4\/24 - f**2. Let g(c) be the second derivative of l(c). Give v(g(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 7:03 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 2. Let t be y(-13). Suppose -2*j + 4*g = -8, 4*g + t = 5*j + 2. Find the first derivative of j - 4 + 0*x**3 + 2*x**3 wrt x.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.575441s in milliseconds?\nAnswer: 7575.441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 718093 - 2.3.\nAnswer: 718090.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 11. Let v = -14 - -7. Let p = v - a. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 5 + 0*h + 11\/3*h**3 + 0*h**2. Let d(r) = 0*r + r + 0*r. Calculate w(d(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 7:03 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 5 = 11*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6110, -6113, -6134, -6185, -6278, -6425, -6638, -6929?\n\"Answer: -2*r**3 + 3*r**2 + 2*r - 6113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -83. Suppose -4*n - h = -9*n - 4*q, -4*n + 14 = q. Let x(j) = 6*j - 63. Let k be x(11). Solve -n*p - 1 = k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -g + 2*g - 4*d, -3*g + 11 = -d. Let x(j) = -j**2 + 3*j + 2. Let f be x(g). Let a be 1*-2*f\/(-28). Put -4\/5, a, 2 in increasing order.\nAnswer: -4\/5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l - 26 = 0. Suppose l*v = 10*v + 207. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f - 708732 = -707605 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Round -28.72022 to one dp.\nAnswer: -28.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -797, -807, -817, -827, -837, -847?\n\"Answer: -10*q - 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(99)\/sqrt(11)) + (sqrt(19) - (sqrt(19) - (sqrt(38)\/sqrt(98) - sqrt(19)))).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148006567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqzzqqyyq. What is prob of sequence zqqy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461627?\nAnswer: 461627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*i - 1251 = -324 + 533 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4451 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 6. Let q be z(4). Let p(x) = 2 - 1 - 3 - q*x. Let h(j) = 6*j + 6. Let m(t) = 3*h(t) + 8*p(t). Differentiate m(g) with respect to g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 3*i**2 + 6. Let g be l(3). Let t be (-14)\/(-42)*g\/7. Factor 4\/7*d**2 + 8\/7*d**4 - 2*d**3 + 0 + t*d.\nAnswer: 2*d*(d - 1)**2*(4*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 25*o - 9. Let g(p) = -8*p + 3. Let k = 453 + -455. Calculate k*y(a) - 7*g(a).\nAnswer: 6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -166*y + 1049. Calculate the remainder when 2380 is divided by t(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 42, 48?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - d - 403 = 0, 5*d + 536 = -5*g + 1506. Suppose 0 = 2*o + h - 6*h - g, 3*h = 3*o - 294. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 17. Let o be j\/(390\/72)*2\/6. Factor -o*y**3 - 2\/5*y**4 + 4\/5*y + 2\/5 + 0*y**2.\nAnswer: -2*(y - 1)*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -3*f - 1, -y + 11 = 3*f. Let q(a) = -7*a**f + 12*a**3 + 2 - 34*a**3 + 10*a**3 + 13*a**3. What is q(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 - o - 2. Let p(r) = -14*r**2 + 3*r + 4. Let i(u) = -3*p(u) - 5*z(u). Let q(d) = -3*d**2 + 5*d + 3. Give -5*i(a) - 4*q(a).\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 2, -0.5, 79.62, 5\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 14. Let v(k) = 2*k - 3. Let z be v(w). Suppose -2*q + z + 35 = 0. Solve -4*g = g - q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 38*c**2 - 2*c + 9. Give t(19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12804 and 4.\nAnswer: 12804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 35, 45, 43, 23, -21?\n\"Answer: -p**3 + 17*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 6*l - 2*l + 1 + 0*l + 0*l + 2*l + (1 + 2 - 1)*(-l + 0*l + 2*l) + l - 2*l + 0*l as g*l + b and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194182?\nAnswer: 2, 79, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2980*l**2 + 36090*l - 225. Let i(o) = 271*o**2 + 3281*o - 20. Let u(z) = -4*c(z) + 45*i(z). What is the second derivative of u(n) wrt n?\nAnswer: 550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -4)\/(1495\/(-104) - -14)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*l + 10 = 0, -2*l = 4*p - 19 - 13. Suppose -h + p*h = 0. Suppose h = 4*j + 3*u - 76, 3*j = -j - 4*u + 72. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = -30. Let g = -27 + 6. Let u = l - g. Solve -j = -3*j - u, 0 = -3*i + 3*j for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b - 8*b - 9*b + 26*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6025.5593 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 592 - f + 0*f + f**2 + 328*f**5 + 13*f**4 - 15*f**4 - 327*f**5 wrt f.\nAnswer: 60*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqcqqc. What is prob of sequence qq?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 7. Let t be f(5). Let u = 0 + t. Is 1 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbk when three letters picked without replacement from {k: 4, b: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 860 a factor of 3617072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a. Let w(x) = 2*x + 4888. Give w(h(r)).\nAnswer: 18*r + 4888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*q + 956 + 2045 = 175*q + 801 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/24 - b**5\/6 + b**2. Factor r(s).\nAnswer: -5*s**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(612)*-4 - sqrt(612))*-1)**2 - -5*(1 + (-2 + sqrt(612))**2))*2.\nAnswer: -240*sqrt(17) + 36772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2647 or -7267?\nAnswer: -7267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 9 = -4*m. Let x be 8\/22*(-12)\/(-9). Let p = 2\/11 + x. Which is the closest to 1? (a) 1\/4 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185707120039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/36 and -39\/9182488?\nAnswer: 82642392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14820117157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 3*d**2 + 2*d + 2. Let l be y(6). Let c be (3\/((-27)\/42))\/(10\/(-15)). Let n = l - c. Does 23 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**7\/7 - 31*y**6\/30 - y**5\/20 - 143*y**4\/3 + 2*y**3\/3 - 2*y + 1924. What is the third derivative of l(p) wrt p?\nAnswer: 360*p**2 - 744*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -7*l**2 - 6*l + 73. Let a(u) = -12*u - 5. Let m(g) = 6*a(g) - 5*i(g). Let b(p) = -p - 4. What is m(b(d))?\nAnswer: 2*d + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3584*d**3 + 5500*d**3 + 6156*d**3 + 9986 wrt d?\nAnswer: 24216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5246.6 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397769 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - 4*x**2 + 2*x**2 + 2)*(-2*x + x + 4*x).\nAnswer: -6*x**3 + 6*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 375, -4\/5, 113, -6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by ((-4896)\/168)\/(24\/(-84)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 277 and 124 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12599042 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 2*h - 75 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-10))\/((-24)\/(-60))*890\/(-623)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 1\/2 (c) 13 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 194, 168, 142, 116, 90?\n\"Answer: -26*x + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 3*a**2 + 3*a + 5. Let l(v) = v**3 - 2*v**2 - 2*v - 4. Suppose -30*n + 29*n + 2*r = 4, 2 = -2*n - 2*r. Calculate n*g(d) - 3*l(d).\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.3 (b) 0.1 (c) 19870 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 31, 8, -4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 6*i + 30. Let n be r(12). Which is greater: n or -43?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + h**2. Determine p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 2, m: 2}. Give prob of sequence zz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(125)).\nAnswer: -4 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/60 and 12\/80*125\/(-12).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*m - 68, 0 = 3*m - 0*a - a - 32. Suppose -i - 5*k - 31 = i, i - 3*k - m = 0. What is the second smallest value in 1, i, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12559312013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-40)\/(-2))\/4)\/((-5)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38496\/(-864) + -7*(-24)\/(-378)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 336924*i*w**3 + 2369*i - 6*w**2 wrt w.\nAnswer: 2021544*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -172687944 divided by 1660461?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:25 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-406)\/10 + (-15)\/(-25). Let q = 60 + g. Let m(w) = -w - w - q + 23. Calculate m(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/16812965 and -35\/3333?\nAnswer: 554827845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8214833?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*m = -45*m - 2. Suppose y - 58851 = -5*v, m*v + 4*y = y + 23530. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 3*m. Suppose -q + 9*q - 32 = 0. Suppose -q = -0*h - 2*h. Let r(p) = -5*p**2 + 16*p - 1. What is h*r(s) + 11*d(s)?\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 34.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 25*z**2 - 19*z + 29. What is the units digit of m(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5 = 5*c, 2*b + 244*c - 4 = 240*c. What is the closest to b in -2, 12, 0.4, -4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5589 + 5605 - ((-477)\/(-30) - -3 - 3).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/7))\/y)**(-3\/2))**(-11\/6) assuming y is positive.\nAnswer: y**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(76) - (sqrt(76) - sqrt(76)*-1)) + sqrt(76)) + 1*sqrt(76)*4)\/((sqrt(400) + sqrt(400) + (sqrt(400) - sqrt(400)*3) + sqrt(400))*2).\nAnswer: sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t - 110. Let s(j) = 10. What is 2*s(o) + u(o)?\nAnswer: o - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + 4. Let z(p) = -1 + 5 - 4 + 7 - p. Let y be z(7). Determine m(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = 0, -147 = 3*v - 4*v + 5*r. Suppose -2*o - v = -c, -1220 + 316 = -5*c - o. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l. Let j(g) = -3*g - 216290. Calculate s(j(v)).\nAnswer: -9*v - 648870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 9) in base 7?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**4 + 33 + j + 16 + 34 to the form y*j**3 + c*j**2 + g*j + n + t*j**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/22)*s*s**(-13)\/s)\/(((s**(-22\/7)\/s)\/s)\/(s\/(s**(4\/9)*s))))**(1\/5) assuming s is positive.\nAnswer: s**(-2339\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-2 + sqrt(17)))*-4 + sqrt(17) - ((sqrt(51) - sqrt(51)*-1) + sqrt(51) + sqrt(51))\/sqrt(3) - (-1*(-1 + sqrt(68) + -2))**2.\nAnswer: -85 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 52*z**2 - 485*z - 988. Let w(b) = -21*b**2 + 243*b + 494. Let y(s) = -6*p(s) - 15*w(s). Factor y(c).\nAnswer: 3*(c - 247)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -4*g - 39. Solve g = 5*r - 0*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/12 + h**2. Let w(b) = -4*b. Let a(n) = -n. Let v(q) = 18*a(q) - 4*w(q). Determine d(v(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3138*w**2 + 3130*w**2 - 6267*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 4. Suppose i + 0*x = -2*x + 14, x = -5*i + 52. Let m be 2\/i + 296\/20. Suppose 4*a = 9*a + m. What is t(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2411 + 387589. What is u rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 + -11. Calculate the remainder when 88 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2463993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, t: 1, z: 3}. Give prob of picking 2 a and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13112256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 88)\/(2 + (8 - 11)). Which is the third smallest value? (a) 0.3 (b) 3\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482575 to the power of 1\/2, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10, -1, 6, 11, 14?\n\"Answer: -r**2 + 12*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12617 = -1406*r - 104602 - 39711 + 2344 for r.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -17. Suppose 13 = 4*i - 7. Suppose b = i*b. What is the closest to b in 0, 2, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1358, -1355, -1352, -1349, -1346, -1343?\nAnswer: -1340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -159, 5, -18038 in increasing order.\nAnswer: -18038, -159, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 6:11 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wcwcwwwcwcwc?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -206 + 225. Suppose 3*l = -5*c + 6*l + 97, -l = -c + t. Calculate the greatest common factor of 340 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/4*d**3 - 65\/4*d**2 + 16*d.\nAnswer: d*(d - 64)*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 5, 17*y + 3*s = 20*y + 5*s - 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8216617034?\nAnswer: 2, 4108308517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -0.1, -4, -2, -256?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.3466 rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -11*y. Let h(j) be the first derivative of 72 + 0*j**2 + 7\/3*j**3 + 0*j. What is x(h(z))?\nAnswer: -77*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 10*u**2 + u + 1. What is the tens digit of q(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (441\/8694)\/((-169)\/(-1014))?\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 18*q + 1452 = -15*q, 0 = -3*p + q - 868. Let i = -256 - p. Calculate the highest common factor of i and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 108*q + 7. Give l(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -23*u - 30. Let l(r) = -r - 29. Let x(f) = -f**2 - 2*f - 2. Let c be x(-6). Let g be l(c). Calculate the least common multiple of 24 and j(g).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, -16, -31, -60, -109, -184, -291?\n\"Answer: -u**3 + 2*u**2 - 6*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmcmmcmcmm. What is prob of picking 2 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 1\/13 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**2 + 0*q**2 + 3 - 3 to the form g*q + o + b*q**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:51 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23781323*v**3 - 8237882?\nAnswer: 71343969*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksyssfssssysfsy. Give prob of picking 1 k and 2 f.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -691 or -688?\nAnswer: -688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -43 (c) 159 (d) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 21*p - 8*p + (4*p + 3*p - 6*p)*(15 + 12 + 163) + 4*p - 4*p - p.\nAnswer: 161*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 + 1.6. What is the biggest value in 7, y, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(-2)*-2 - 2. Let f be ((-2)\/(-3))\/((-38)\/(-513)). Solve 0 = o*b - f - 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 1141*l**5\/20 + 223*l**4 + l - 794. Find the third derivative of j(f) wrt f.\nAnswer: 6846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63431 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -d7b (base 14) in base 8?\nAnswer: -5141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19096 by 4774.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27232 and 10934832?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 divided by 18?\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4107, -16395, -36875, -65547, -102411?\n\"Answer: -4096*a**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17) + 0 + sqrt(17) + -4).\nAnswer: -2*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -152. Suppose 0 = -5*y + 617 + 298. Suppose -c = 3*u - y. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -736*i**2 - 5 + 5.\nAnswer: -736*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 + 5.16. Let h = 6 - 11. Let f = h + v. Sort 3, f, 3\/7 in increasing order.\nAnswer: f, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 bigger than 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12823.\nAnswer: 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 145\/23 and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/119? (a) 0.07 (b) 4 (c) -35556\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1526200 rounded to the nearest 10000?\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582566.\nAnswer: 2, 59, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 11*a + 8. Let k be f(9). Let d = 31 - k. Suppose 99 = 5*g + 2*t, 4*g + d*t = 4*t + 78. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18002088 and 8307.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1975*n**2 + 158*n - 887. What is the thousands digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 332*w. Let h(r) = r + 1815. Give h(z(p)).\nAnswer: 332*p + 1815","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -118 + 943\/8. What is the second biggest value in -4, q, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 345*u**4 - 3*u**3 + 503*u - 19929435 wrt u.\nAnswer: 1380*u**3 - 9*u**2 + 503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 329605781*q**4 + 45107312 wrt q.\nAnswer: 1318423124*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1471839.7?\nAnswer: -1471839.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*-4*((sqrt(19) + 2)*1 + 2))**2.\nAnswer: 1176*sqrt(19) + 5137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -513366, -1026721, -1540062, -2053383, -2566678, -3079941, -3593166?\nAnswer: -4106347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -25*h + 1. Let n(t) = 732*t - 1030. Let j(l) = -4*i(l) + n(l). Find the first derivative of j(y) wrt y.\nAnswer: 832","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/(-39))\/((20\/45)\/(-4))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-4 - (-13 - -6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 3:04 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 + 6905*x**3 - 442 + 303.\nAnswer: 6905*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 3. Suppose -4*x + 11 = 4*b - 5, 12 = 3*b + 5*x. Let c be b - 9\/(-3) - 3. Determine s(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 27. Suppose -s - 3*c = -45, -4*s - 5*c + 37 = -u*s. Suppose -s = -2*r + 83. What is the greatest common divisor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27 + (-4)\/(1 + -5). Suppose -y = -7*x - 14. Find p such that 3*p**x - 18\/5*p + 3\/5 = 0.\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2571 by -857.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.62 plus -3.86?\nAnswer: -6.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0771771 rounded to 3 decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 18, -1, -3, -133 in increasing order.\nAnswer: -133, -3, -2, -1, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -75882158 divided by -11\nAnswer: 6898378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59825*f**4*p**2 - 5*f**2*p + 108*p**2 - p + 307 wrt f?\nAnswer: 239300*f**3*p**2 - 10*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 28*u**2 + 6*u - 160. Calculate the lowest common multiple of x(28) and 1230.\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2336128?\nAnswer: 2, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 12 = 67. Suppose s - l = 3*t, 0 = 5*s - 0*s - 3*t - 31. Suppose h - 5*h = -s*p + 238, -2*p + 5*h + 102 = 0. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 826408?\nAnswer: 4132040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -342 + 307. Suppose -3*r = 72 + 36. Is y != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 14*v**2 - 15*v + 8. Let m be y(-13). Let c = -4 + 10. Suppose -2*d + m = 3*b, c*d - 2*b - 52 = 2*d. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 42. Let w = h - -6. Let j = w - -18.99884. Round j to 4 decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9\/7, -2.4 in descending order.\nAnswer: 2, 9\/7, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 - 4.92. Let s = v - -4.9. Let z(g) = -g**3 - 10*g**2 + 10*g - 10. Let i be z(-11). Which is the third biggest value? (a) s (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18615110 and 40953242?\nAnswer: 204766210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/32 and 65\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15 - -25) + (-11)\/1. Put f, 5, -484 in descending order.\nAnswer: 5, f, -484","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 = 69*x - 217 - 400 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5029 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26223, -50130, -74037, -97944?\n\"Answer: -23907*v - 2316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365782328 is divided by 129.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 9 + 21. List the prime factors of 24*i*(-1)\/8.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*f - 25, u + 6 = -3*f + 11. Suppose 36*d - 41*d - u = 0. Let t(s) = -8*s - 2. Give t(d).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (146\/12)\/(-2*(-6)\/72). Solve -74*z + 4 = -i*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 5*a**2 + 11. Let o be f(5). Let w be o\/(-56628)*1790\/1. Let j = w - -10\/143. What is the common denominator of j and 109\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -31. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-15))\/(15 + (-52)\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*r**2 - 6 + r**2 - 7 + r**2 wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 h when three letters picked without replacement from iiiidiiih.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = 3*j, 2*y - 3 = -j + 3. Suppose 5*o = -2*d - d + 37, j = -d - o + 13. Calculate the remainder when 27 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 306236171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/20 - t**4\/24 + 4*t**2. Let y be n(-1). What is the second derivative of m**2 - m + m**y - m**2 - 5*m**4 wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 8*w**2 + 20*w + 6. Let z be d(10). Solve a - 3*a + f = -1, -2*a + 2*f + z = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 816015?\nAnswer: 5712105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Let y be (-6)\/(-4) + -3 + 3. What is the biggest value in 0.1, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -134, -264, -414, -566, -702, -804?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 + 4*n**2 - 3*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6791 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 19592.\nAnswer: 9796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 13. Let d be l(9). Let c = d + 9. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10126 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/4)\/((-3)\/6). Suppose -15 = -y*w + 5*x, x - 9 = -3*w + w. Solve 5 = 5*v - w*m, -5*v + v + 40 = 4*m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4251919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/56 and (-25)\/(-1155)*(-459)\/(-18)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/115509 and 13\/34306173.\nAnswer: 34306173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*x - 85. Suppose 3*h = -4*y - x, 5*h - 9 = 6. Let c = -3 - y. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127049 and 2359?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 12*s + 0*s + 0*s + 27 - 4*s. Let a be j(-3). Solve -a*p - 1 + 13 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) + 3 + (sqrt(5) - (sqrt(5) + 0)))**2 + -5.\nAnswer: 9 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwy when three letters picked without replacement from {w: 1, l: 3, z: 2, y: 1, n: 6}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-225)*((-4)\/(-2))\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 721683 divided by 3\nAnswer: 240561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 16. Solve -5*d - 10 = 2*j, -j - 4*d = q*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5492 by 3248.\nAnswer: 1373\/812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 0 + 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 4*k**2 + 4*k - 3. Let l be u(-3). Let i(r) = -r + 7. Give i(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - i + 21, 0*i - 5*i = -4*q + 35. Let u = q - 5. Let h = -6936 - -6939. Solve -u*f + c - 15 = h*c, f + c = -3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, f: 3}. Give prob of sequence fvv.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3610 - -4?\nAnswer: -3605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6132 - 0.9.\nAnswer: 6131.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768158791 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.08 (b) -23025 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 10*t**2 - 26*t - 81. Let a be o(-8). Let p = -24\/13 + 137\/39. What is the biggest value in -6, p, 1\/6, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {r: 2, b: 5, j: 6, w: 1, z: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = 2*j. Suppose -73 + 8 = -5*m. Let y = j - m. Solve -5 = -y*k - 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 31*j. Calculate y(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.299 + -119.701. Let y = -120.098 - h. Round y to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c - 17. Give d(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*o = -0*f - 13, -2*o = 5*f + 42. Suppose -5*p + 1 + 4 = 0. What are the prime factors of ((-10)\/8)\/(p\/f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -10\/37, 3, 0.568, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/6 and 20\/100 + (-66)\/136?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34024 and 1256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*v + 338*v - d = 17, -4*v + 3*d = -27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**5\/60 - 16*d**3\/3 + 19. Let s(a) be the third derivative of n(a). Calculate s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469764 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 j(u) = -u**3 - 7*u**2 - u - 6. Let g(h) = h**3 - 11*h**2 - 2*h + 15. Let f be g(11). Let s be j(f). Solve -4*m = -5 + s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031224345 to six decimal places.\nAnswer: 0.000312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p**3 - 9*p**2 - 9*p + 1. What is b(-2)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -9, -11509, 2, -2, 1 in decreasing order.\nAnswer: 2, 1, -1, -2, -4, -9, -11509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v + 45*v - 123*v + 25*v. Let r(a) = -13*a. Give i(r(z)).\nAnswer: 416*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 divided by -121?\nAnswer: 118\/121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 283950017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*f**2 + 40*f**2 + 14*f + 6*f + 44*f**2 + 44*f**2.\nAnswer: 3*f**2 + 20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*j**2 + 0)*(12 - 12 - 5*j**2) + (-3*j - 2*j + 3*j)*(1 + j**3 - 1).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/4 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.32476 to 2 decimal places.\nAnswer: 3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 51*n**5\/20 + 11*n**4\/24 + 7*n**3\/2 + 78*n**2. Is t(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*t**3 - t + 1 + 9*t**2 + 31*t**3 + 2*t**4 to u + i*t**3 + y*t**4 + x*t + h*t**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 17*l + 60.\nAnswer: (l - 12)*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7 - 1 - 3*k**2 - 13 + 6. Suppose -j + 3 = 2*j. Let b be (j\/(-3))\/((-1)\/3). Determine i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 93\/2, 4, 5, 0?\nAnswer: 93\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 20. Let c = 2897\/166 - -4\/83. Find the common denominator of (-1690)\/(-420) - (-1)\/s and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aaaaaaakkaa.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -394582, 11, 79.\nAnswer: -394582, 11, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 93, 117, 177, 291, 477, 753, 1137, 1647?\n\"Answer: 3*q**3 + 3*q + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2 + (5 - 3). Let i(w) = -3*w**2 - l + 0 + w**3 + 0 + 4*w. List the prime factors of i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 556 + -556.71. Put 0, 2, t in decreasing order.\nAnswer: 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 21*s**2 + s - 2. Let d be p(2). Suppose 6 - d = -3*m. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 21*n**3 - 405*n**2 - 444*n. Let v(c) = -5*c**3 + 101*c**2 + 110*c. Let t(d) = -2*b(d) - 9*v(d). Solve t(i) = 0.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188872735 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 12. Let r be a(6). Suppose -r = x - 4*x. Sort 5, -5, x in descending order.\nAnswer: 5, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 1 = 11. Let r = 1 - s. What are the prime factors of (-36)\/r + 1\/(2\/4)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14604 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25354.8 and 1055.\nAnswer: 26749314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*2)\/sqrt(9) + -2 + 1 + 3 + (sqrt(95) + 2*sqrt(95))\/sqrt(5) + (1*sqrt(1216))**2.\nAnswer: 5*sqrt(19) + 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 5*i + (-5 - i + 5)*(0 + 0 + 2) + 3*i + 3*i - 4*i + (12 - 45 - 29)*(5 - 3 - 4)*(3 + i - 3).\nAnswer: 119*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-47)\/(-7) - ((-128)\/56 + 2). Suppose y = -p*y + 1080. Let g = y + -8. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/3 - 12970*t\/3 - 42055225\/3 = 0.\nAnswer: -6485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 - o**3 - 26 - o + 2*o**2 + 2*o**4 - o**4 + 4 + 0*o**3 in the form d + g*o + q*o**3 + j*o**4 + k*o**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5\/21 + 26*j**4\/7 + 94*j**3\/7 + 158*j**2\/21 - 114*j\/7 - 60\/7 = 0.\nAnswer: -15, -3, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20)\/5)\/(-56))\/(2\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 4026.336821.\nAnswer: 4016.336821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 - 32*m**2 - 12*m**2 + m**3.\nAnswer: m**3 - 32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 18 = -3*p. Calculate the smallest common multiple of 3 and 5*(1 + p\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-19)\/((-665)\/(-610250)))\/((-1)\/7). Round y to the nearest one thousand.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 184 - 109. Let j = -45 - -75. What is the highest common factor of j and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -95, -94, -93?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*m - 38*m - 66. Let o = -62 - m. Solve -z = -3*z + o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104867081149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + -3340043000?\nAnswer: -3340042412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*y + 1. Suppose -4*s + 4*s + 2*s = y. Suppose s = 2*t - 3*t + 4*u + 89, 0 = -2*u + 10. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 173 = 40. Suppose -5*v + 18 = 4*o, 2*o + o + v - k = 0. Solve 1 = 6*u + o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 7. Suppose 5*x - 9 - m = 0. Let w = -2 + 2. Solve x*i = 8 - w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507459 is divided by 938.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108399 is divided by 27090?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0954511 * 0.2.\nAnswer: 0.01909022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54, 46, 38, 30?\n\"Answer: -8*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0 + 0)*(5 + 4 - 1).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 + 254.9. Sort -1\/2, 3, o in descending order.\nAnswer: 3, o, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/8*(-1)\/3. Suppose 0 = 2*m + 3*z - 17, -10 - 8 = -3*m - 2*z. Suppose m*q - 17 = 3. Which is the second biggest value? (a) q (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:12 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8.3. Let s = -1.2 + 0.7. Let j = 895\/22 - 81\/2. What is the second biggest value in a, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1046673, -1046672, -1046671, -1046670?\nAnswer: -1046669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 302, 2556, 8680, 20612, 40290, 69652, 110636, 165180?\nAnswer: 235222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 295 in 5, 1\/2, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 14*i**2 - 33*i - 1. What is k(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -7 - -1) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*y - 648*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6113537292 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 4286.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*u - 12 = z, z = -4*u - 21. Let l be (9\/z)\/(6\/(-20)). Suppose l*j = j + 200. What is the remainder when j is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 10464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + x**2 - x. Let l(r) = -9*r**3 - 6*r**2 + 12*r. Let u(z) = 12*k(z) + l(z). Find the third derivative of u(y) wrt y.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, x: 5, l: 1, o: 1, f: 1, d: 1}. Give prob of sequence dn.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-5)\/m**2 assuming m is positive.\nAnswer: m**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 - 8*k - 33. Let l be i(-4). Let s = 13 - 8. Suppose -o + 2*v + 93 = 0, s*v - l = 3*o - 338. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42840693 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 30 (b) -19.9 (c) 13\/5 (d) 3\/5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 2. Let l be a(-7). Let y be (-102)\/(-180) + 2\/l. What is the second biggest value in -2\/3, y, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 3*x - 517. Calculate y(11).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64541172?\nAnswer: 2, 3, 37, 61, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 8:35 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 464016703 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 0, 2, -0.09?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -15 (c) -37 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8684226 and 35248.\nAnswer: 4406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -1, 14, -4, -26, 2 in descending order.\nAnswer: 14, 2, -1, -4, -26, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2023 + -6007\/3. Find the common denominator of -41\/790 and l.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9b7 + -1?\nAnswer: -9b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -1 + 103936\/(-4704).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -330*f + 337*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 + 139*n**2 + 120*n + 613. Determine z(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-22)*(-5)\/((-15)\/2).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t**2 + 19*t**3 - 90 - 21*t**3 + t - 14*t**2 as o*t**2 + y + d*t**3 + u*t and give y.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and -9341.\nAnswer: -7472.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 293. Calculate k(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 839\/3 or 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/10)\/(80\/(-700))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2246*c**2*z - 2*c - 512*z wrt c?\nAnswer: 4492*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2600*p**3 - 12707.\nAnswer: 7800*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*d = -5, -f - d - 9 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 5 + 5 + -12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, and 1 q when three letters picked without replacement from {q: 5, i: 1, v: 5, h: 1, b: 2, k: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11411777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63039.09l in millilitres?\nAnswer: 63039090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 1 + l + 0 - 9.\nAnswer: 2*l - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 260639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c + 56b?\nAnswer: 51f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 24 = 12. Sort -33, x, 2 in descending order.\nAnswer: 2, x, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9738825*q**2 + 57392122*q?\nAnswer: 19477650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 109517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3258*d**2 + 1796*d**2 - 1700*d**2.\nAnswer: 3354*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -73*r**3 - 184*r**2 - 6*r - 13. Let m(x) = -61*x**3 - 184*x**2 - 5*x - 11. What is 5*a(t) - 6*m(t)?\nAnswer: t**3 + 184*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 7:52 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 1:13 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*z + 44 = 11*z - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1461*2\/(1 + 3 - (-68)\/(-14))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 0.1. Let h be (-30)\/36*(-54)\/180. What is the closest to n in 3, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634*d + 12 = 3*k + 638*d, k + 12*d = -28 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**4\/3 + m**2\/2 + 2*m + 1275. Let d = -38 + 33. Let b(w) = w**2. Determine d*b(o) + g(o).\nAnswer: -o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = s - 11, -5*s + 3*s = -m - 12. Suppose s*j = -n + 13985, j - 5*n + 1048 = 3819. What is j rounded to the nearest one hundred?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1190 + -689. Does 67 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*(-581)\/(-332)*(-8)\/(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 9*r**2 - r - 2. Let f be s(9). Let y(k) = -k - 2. Let x be y(-5). Let g = x - f. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 20*g + 69. Let y be q(-3). Let k(a) = 6*a + y*a - 250*a**2 + 124*a**2 - 8 + 127*a**2 - 4*a. Give k(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/49 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/14 - (-1294)\/28 and -25\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.722 * -551\nAnswer: 2050.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000904786 rounded to 6 decimal places?\nAnswer: 0.000905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:28 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7121*u - 336*u = 114*u - 133420 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 3. Suppose -2*m + 6 = 5*w, -w + 3*w - 4*m = -12. What is g(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-26)\/((j*j**(-26))\/j))\/(j*j**14)**14)**(2\/89) assuming j is positive.\nAnswer: j**(-420\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.032 - -0.032. What is the smallest value in -1\/2, -20, c?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 3:18 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00457129816 to 5 decimal places.\nAnswer: -0.00457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9680138*c + 14959720.\nAnswer: 9680138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 5)*(-10*k**4 - 2*k - 20*k**4 + 4*k**2 + 31*k**4) as p*k + d*k**3 + c*k**4 + f + r*k**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-3))\/(1\/(-33)). Suppose -73*y + 47*y = -3380. Let n = p + y. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 9:32 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + 6 + -1 - ((0 - -10) + -23).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14894\/529 or -27?\nAnswer: -14894\/529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97799031 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*n - 295, -87 = 2*y + 5*n + 43. Let m be (2 - 6) + (2 - 0). List the prime factors of m\/3 + y\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 680 and 24888?\nAnswer: 124440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001110101110 (base 2) in base 5?\nAnswer: -130123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a factor of 25363944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -37*f - 27 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37779, 37729, 37687, 37659, 37651, 37669, 37719?\nAnswer: 37807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 4)*(3*z**5 + 0*z**5 - 2*z**5) + 10*z**5 - 65 + 65.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 5*y**2 + 6*y + 2. Let j be l(-6). Let q(o) = 27*o - 15. Let z(g) = -14*g + 8. Let x(i) = 6*q(i) + 11*z(i). Is x(j) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478 a factor of 249516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -39, 4 in increasing order.\nAnswer: -39, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -20. Is 56 + (-3)\/((-3)\/y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110*o**4 + 6 + 52 + 93*o**4 with respect to o.\nAnswer: -68*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - p = -693 + 4170, -4*s + p + 6957 = 0. Calculate the highest common factor of 12 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 + -10887301966\nAnswer: -10887301970.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 63 - c43a?\nAnswer: -c3b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/9 and 69\/(-8901)*-2*37?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/54 - (-1)\/((-30)\/(-6785)). Suppose -229*y = -l*y - 3291. List the prime factors of y.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*-0.04\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 5680800 = -21*r. Round r to the nearest 10000.\nAnswer: 710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.0642844\nAnswer: 0.321422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -201531103 + 120?\nAnswer: -201530543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 + 5*a - 60. Let v be y(-7). Suppose 5*h - 4*i = 3*h + 30, -9 = v*i. Do h and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k + 35. Let h be n(15). Suppose 0 = -2*v + 3*s, -2*s + 0 = -3*v - 5. Put v, -9, h in increasing order.\nAnswer: -9, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -21. Let x = s - -3. Sort x, 1, 3 in decreasing order.\nAnswer: 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -667*t - 1639. Let p(q) = 446*q + 1092. Let b(k) = -7*p(k) - 5*z(k). What is the derivative of b(y) wrt y?\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 5:06 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:18 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2111410 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 4737982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14*(-1)\/10)\/((-5)\/(-25)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107291 is divided by 240.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 90\/(-12))\/(-28 + (-3042)\/(-72)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - i - 5*i)*(9 - 9 - i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + w + 11 = 0, 28*a - 23*a = -w - 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/3, -10\/7, -1\/6, -0.087 in ascending order.\nAnswer: -10\/7, -2\/3, -1\/6, -0.087, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000933675 rounded to five decimal places?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - 201?\nAnswer: -2222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11552*q - 21 = 5*j - 11548*q, j + q + 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 5*o**3\/6 - 2*o**2 + 9*o. Let h(k) = -k**2 + 15*k - 48. Let w be h(9). Is 12 a factor of q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a - 80. Let x be c(18). Let v = -307 - x. Let m(t) = -t**2 - 9*t + 10. What is m(v)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.5 + -7.50117. Round i to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 5*h - 10. Let o be l(-7). Let c be 12\/o - 1*-1. Determine z so that 1\/2 + 1\/2*z - c*z**3 - 1\/2*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1. Let b(v) = -2*v + 11. Let n(g) = 2*b(g) + 22*y(g). Let j(i) = -8217895 + 8217895 - 4*i. Determine n(j(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41303?\nAnswer: 103, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by -1\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 12:06 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 476019.\nAnswer: 476019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -7. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2, -17, 49, -4, 1, -15 in ascending order.\nAnswer: -21, -17, -15, -4, 1, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y - 6. Let h(b) = -29*b - 25. Let w(u) = -6*h(u) + 26*r(u). Does 7 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i - 54 = 28*i - 31*d + 29*d, 2*d - 85 = -3*i for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 7\/8 (c) 2\/13 (d) 49 (e) 0 (f) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4261\/9 - -475. Factor 4\/9 + 2*x**2 + 2\/9*x**4 + w*x + 10\/9*x**3.\nAnswer: 2*(x + 1)**3*(x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 4:24 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -37*s - 23. What is the tens digit of m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 148*i**3 + 406*i - 332. Differentiate f(y) with respect to y.\nAnswer: 888*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 4*u - 107. What is the lowest common multiple of u and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.2249142 to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 9. Let h = 12 - 2. Let r be v(h). Let b be 32\/10 + r\/55. Solve 0 = t - b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**5 - g**5 - 4*g**5)*(18 - 12 + 50) + (0*g**2 + 2*g**3 + 0*g**2)*(0 - 2*g**2 + 0) - 2*g**5 - g**5 + 4*g**5 + g**5 - 5*g**5 + 6*g**5.\nAnswer: -561*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -146216.44 rounded to the nearest ten?\nAnswer: -146220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 109842559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 10:14 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Let b be (-1)\/(1\/(-2)) + z. Differentiate -2*g + b + g - 4 with respect to g.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5922, -11854, -17802, -23772, -29770, -35802?\n\"Answer: -b**3 - 2*b**2 - 5919*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -15287930 to the nearest 10000.\nAnswer: -15290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfjmeefmmmjpmf. Give prob of picking 1 m and 2 j.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 573*m**3*n**3 - 18*m**2*n**3 + 2*m**2*n - 3*n**3 wrt m?\nAnswer: 3438*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4251924878 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvj when three letters picked without replacement from {u: 1, o: 2, x: 1, v: 2, q: 1, j: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) -19 (c) -5 (d) 290 (e) 2\/3 (f) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 124283511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*b + 47 - 2, -t - 7 = b. Let w(i) = -7*i - 17. Let n be w(t). What is the greatest common factor of 15 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35674*v**3*z**3 - 285*v**3*z**2 + 68*v**3*z + 2*v**2 - 18163 wrt z?\nAnswer: -214044*v**3*z - 570*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 - -10)*(-2 - -1). Let r = p + 7. Let s be (-2)\/15 + (-8)\/r. Is s at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2840 <= -19875\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 1\/3, -3\/5, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 90\/19 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -967*h - 58*h**2 + 967*h + h**2 - 4*h**2 + h**2 + (-h - 3*h + 5*h)*(-2 + 2 + 2*h) + 0*h**2 - 2*h**2 + h**2 + h - 2*h**2 - h.\nAnswer: -61*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -3, 2\/73, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**2 + 6*z - 10. Let d be h(4). Let y = d - 45. What is the greatest common factor of 272 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y = -17*y + 4. Let r(n) = -y*n - 5*n + 0*n**2 - 9 - 7*n**2 - n**3. Give r(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 461711*n - 427828.\nAnswer: 461711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + (-34)\/(-3). Let r = p - 5. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -133. Calculate the remainder when p is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 12*i - 22. Let f be g(9). Suppose 0 = f*n - 5*v - 5, 3*n - 5*v - 1 + 4 = 0. Calculate the smallest common multiple of 5 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -15, -26, -37, -42, -35, -10?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2919, 2964, 3071, 3270, 3591, 4064, 4719?\n\"Answer: 5*l**3 + l**2 + 7*l + 2906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 400131 (base 5) to base 14\nAnswer: 47db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) - -4*sqrt(684)*2)*4 - ((1*sqrt(76) - sqrt(76))*-6)**2*6.\nAnswer: 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 88*a**2 - 88*a**2 + 6*a**5 + (-a**2 - a + a)*(2*a**3 - a**2 - 2*a**3 - a**3).\nAnswer: 7*a**5 + a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -231654 (base 7) in base 9?\nAnswer: -62823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2991 a factor of 367121404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*j = 35, 0 = -0*v + 2*v - 3*j + 15. Let q(o) be the third derivative of o**6\/120 + 7*o**5\/30 - 2*o**4\/3 - 10*o**3\/3 - 2760*o**2. What is q(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44128 or 7946?\nAnswer: 7946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) - (sqrt(117) - (1*((sqrt(117) - (sqrt(117) + 4)) + sqrt(117) + sqrt(117))**2 - sqrt(117))) - (sqrt(143)\/(-4*sqrt(176)))**2.\nAnswer: -51*sqrt(13) + 123891\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 28 (b) -4 (c) 2126\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 252 - 250. Suppose -3*t + a*i + 11531 = -3*i, 5*t - 4*i - 19227 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 29\/13, -249\/2, 25, -4?\nAnswer: 29\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 800 - 785. Let y be (154\/55)\/(6\/j). Let n(q) = 13*q**2 - 7*q. Let m(s) be the third derivative of -s**5\/15 + s**4\/12 + s**2. Determine y*m(p) + 2*n(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21 = -0*v + 2*v, -39 = 4*v - 5*l. Let m be v\/5*(-90)\/12. Solve 2*h + 3 - m = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391438.3 centuries in decades?\nAnswer: 3914383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14327, 15513, 16699?\n\"Answer: 1186*p + 13141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 14*z + 1133. Let k be x(-82). Let w(j) = j**3 + 17*j**2 + 26*j - 28. What is w(k)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l - 28. Let w(j) = -3*j - 30. Let q(r) = -3*w(r) + 4*z(r). Let t be q(22). Solve 0 = -5*a - 5*g + 35, t = -4*g + 7 + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -0.25 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*a - 266, -4*n + 9*n - 2*a + 641 = 0. Let c = n - -123. Is (c\/(-6))\/((-20)\/(-2460)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6132*z**3 + 3*z + 30831?\nAnswer: 18396*z**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15180812?\nAnswer: 2, 47, 80749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -0.5 (c) -5 (d) 2 (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 + 173. Suppose 0 = -4*f, -5*d - 5*f + l + 442 = 0. Does 32 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-8)*((-224)\/12)\/(-14)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:52 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-77))\/((67\/(-201))\/(2\/2)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5700521647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10619 and 925.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 308 + -307. What is the third biggest value in t, -5, 37, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1454 (base 11) to base 7.\nAnswer: -5315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 492379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6404 is divided by 145?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let s(y) = -16*y. Suppose -4*i - 6 = -2*i. Let k(q) = 5*q. Let u(w) = i*s(w) - 10*k(w). Give z(u(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + w**2 - w + 1. Let x be z(1). Suppose -2*v - 2*m + 9 = -3*m, v + 6 = -x*m. Solve 0 = 2*j - 2*p, 5*j + v*p = -p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 509 - 15.6.\nAnswer: 493.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h**3 + h**2 - 1. Let b be d(-2). Let v = -25 - b. Suppose 2*c - v = -0. Calculate the lowest common multiple of 14 and c.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 110\/25 - (-2)\/(-5). Calculate the remainder when 15 is divided by (3\/5)\/(s\/40).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -5*t**3\/2 + 11*t**2\/2 - 28*t. Let a be w(-6). Suppose 4*l - 3*m + a = 6*l, -3*m - 193 = -4*l. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720557?\nAnswer: 47, 15331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -687 + 491 + 3*m**3 + 3*m**3 + 25*m**3 - 32*m**3.\nAnswer: -m**3 - 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4, -2*o + 4032 = -4*o + 4*k. Is 3*(o\/(-12))\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11590)\/6435 + (-8)\/(-4). Let n = -2\/117 + c. Let u be 14\/21*6\/(-4). Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -613252, -612764, -612276, -611788?\n\"Answer: 488*q - 613740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -48. Let f = n + 44. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*(-14848)\/1536.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47 and 611?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2761190 and -416.\nAnswer: 2760774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -129 - -112. Let k(u) = -u**2 - 28*u + 26. What is the units digit of k(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1512256 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: Is 7528097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 827421 and 369.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 670750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-7 + 9)*10\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/11? (a) -1 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1766870997 or -1?\nAnswer: -2\/1766870997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 19 - 3. Sort 3, -1, w in increasing order.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqaxbxvjavajav. What is prob of sequence bx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4785175 to the nearest 10000.\nAnswer: 4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210210 + 12?\nAnswer: 2210222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49152, 101310, 153468, 205626?\n\"Answer: 52158*o - 3006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (611\/(-188))\/(4\/16)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 30*m - 647. Let f be r(48). Which is smaller: 207 or f?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 22 - 6 = 0. Let a = 15 + s. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2*30\/(-15) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-572)\/143*20\/32*(-22)\/10*6?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 4. Let s = j - 0. Suppose -k - 2*l = -22, s = 6*k - k + 2*l - 70. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -2*n - 1\/6*n**3 + 1\/10*n**5 + 0*n**2 + 0*n**4 + 0. Find the second derivative of k(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-2)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 3, -81, 1586 in decreasing order.\nAnswer: 1586, 3, -1, -3, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/10)\/(342\/(-90) - -1).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*k**2 - 109*k**2 - 145*k**3 - 17*k + 12*k + 6*k wrt k?\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*h - 9 = 0, -2 = -3*i + h + 1. Suppose 3*n - 5*n = -16. What is the least common multiple of n and (i - -2)\/2 - -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 199546, -228 in increasing order.\nAnswer: -228, 1, 2, 199546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1207\/(-7) - (-3)\/7. Let j = l - -177. Solve -j*y + 2*y - 2*q = 9, -y - 3 = -3*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*h = 10*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -12707 and -0.391.\nAnswer: -12707.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 60388093 divided by 1?\nAnswer: 60388093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 3*f**2 - 5*f + 1. Let a be i(-4). Suppose 4*c - 47 = -w, 16 = 2*c + 3*w - a*w. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p + 1. Let m be v(-5). Let s = 27 - m. What is the remainder when s is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*29*(-26)\/(-1508)*(-455)\/(-156)?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(4\/3)*u)**(8\/13)\/(u*u\/(u**2\/u))**(-2))**(-1\/4) assuming u is positive.\nAnswer: u**(-67\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*y**4 + 4*y**4 + 4*y**4 + 2 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 3:27 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/48 and -93\/8?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162136004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-493)\/(-9) + 14\/63?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.7104801 - 0.23513?\nAnswer: 7.4753501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 291 = 11*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5892827 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 r when three letters picked without replacement from rrrvvvr.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -24381*v - 1. Let q(n) = n. Give q(t(f)).\nAnswer: -24381*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*j - 16 = 0, 5*j = -3*m - 0*m + 20. Suppose m*k - 4 = -k. Suppose k*n - 33 = -4*p - 9, 2*p - 18 = -4*n. Solve 4*r - n = 5*g + 13, 0 = g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*1012584.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 + 2*n + 3 + 0 + 0*n**4 - 5 - 3*n**4 + 2*n**2 to the form s*n**3 + x*n**2 + z*n**4 + o + m*n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 478601 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-468))\/((-1)\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 7*a - 6. Let i be s(-13). Suppose -6*f + 124 = -i. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(2\/5)*i)\/((i**(2\/31)\/i)\/i))**37 assuming i is positive.\nAnswer: i**(19129\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 14*z**2 + 3. Let g(w) = 14*w**2 + 2. Let h(b) = -3*g(b) + 2*j(b). Let n(a) = 2*a. What is n(h(o))?\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 1274\nAnswer: 5\/1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqp when four letters picked without replacement from {h: 4, t: 4, z: 1, q: 3, p: 1}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53065*k**2*o + k**2 - k*o + 53644*o wrt k.\nAnswer: -106130*k*o + 2*k - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 4*m**2 - 2*m**2 - 118 + 129.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 139*z - 2242. What is c(44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/(-10)*15\/(-6). Let c = -2 + z. Suppose -1 = c*v + 1. Put 2, v, -5 in decreasing order.\nAnswer: 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/5*22\/((-330)\/(-75)). What is the closest to 0.061 in 4, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**3 + 14*o**2 + 5*o + 26. What is v(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e3 - 35?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141563647 is divided by 83?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -36*v - 134. Let g be m(-14). Let q = g - -1053. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 645 + -645.613. What is h rounded to two dps?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**3 - 88*u**2 - 2*u + 88*u**2.\nAnswer: -11*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3.4, -2, -0.2 in decreasing order.\nAnswer: 3.4, 1\/4, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58306 or -0.1?\nAnswer: -58306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 50. Which is smaller: 1\/31 or g?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let n be d(-1). Suppose 0 = 2*t - 3*q + 51, 2*t - q = 5*t + 93. Let j = 26 + t. Sort j, -1, n in decreasing order.\nAnswer: n, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2 + 5*n + 3 - 6 - 19*n. Let i(l) = -l**3 + 13*l**2 + l - 3. Calculate the remainder when a(-3) is divided by i(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-100))\/(867\/578)*-1.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -25c2?\nAnswer: -25bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -t - t - 3*u, -296*u + 184 = 45*t - 297*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000841453517 rounded to seven decimal places?\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2. Let a = 1771 - 1769. Let n(g) be the second derivative of 0 + 0*g**a - 1\/6*g**3 - 8*g. Give w(n(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497494 is divided by 38256?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5\/2 (c) 5\/4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8694204191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*d = 5*u - 21238, 0 = 2*d - 10. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-984)\/82*((-4)\/3 + 1). Solve 55*r - 20 = -k + 58*r, i*k - 5*r - 45 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -34854120*o. Let p(q) = -q. What is d(p(s))?\nAnswer: 34854120*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 57 in descending order.\nAnswer: 57, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356589550 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(7) + 0) + sqrt(175) + (1 + sqrt(175) - sqrt(175)).\nAnswer: -sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from rfsrqsrrssfrrr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -206, -765, -1860, -3671, -6378, -10161, -15200?\nAnswer: -21675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, v: 1, p: 6, w: 2, u: 9}. Give prob of sequence oo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 64579, 65045, 65511, 65977, 66443, 66909?\n\"Answer: 466*g + 64113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/(w\/(w\/(((w\/((w*((w\/w**(-1\/24))\/w)\/w)\/w)*w)\/w)\/w)))*w))\/(w**(1\/30)\/w))**(6\/23) assuming w is positive.\nAnswer: w**(-9\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -105102 (base 13) to base 11\nAnswer: -241381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13300023 (base 4) to base 10\nAnswer: -31755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmbebbm. Give prob of sequence mpm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 2. Suppose -2*r + 21 = -3*x, 3*x - 7*x = r + 39. Let i(n) = 5*n + 8. Let u(p) = x*h(p) - 2*i(p). Determine u(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62*(-5)\/560 - 15\/(-35).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -2*v + 5, 3*v - 4*f = 23. Find the second derivative of 0*i + 5*i**4 - v*i - i wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 - 4*b - 16)*(7*b - 2*b + 2*b)*(-3 + 0 + 1) to j*b + k + l*b**2 and give l.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.407204kg in micrograms?\nAnswer: 2407204000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - 25. What is the remainder when d is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259\/6 - -43. Suppose 706 = 428*h - 578. Which is the closest to -2\/3? (a) h (b) -2\/7 (c) -0.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 11*s**2 - 9*s - 7. Let v be i(10). Suppose v*u + 35 = 6*u - a, 21 = u - 5*a. What is the greatest common divisor of 44 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184*c = 96*c + 1760 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010122101 (base 3) to base 10.\nAnswer: 81388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 7*g**2 + g + 4. Suppose 7 = 2*m - 7. Suppose -3*t + 120 = 3*u, -5*u - 4*t + 34 + 169 = 0. Calculate the remainder when u is divided by h(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/(-7812)*81)\/(-6).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 137, 557, 1267, 2273, 3581?\n\"Answer: t**3 + 139*t**2 - 4*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 114?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1200*a**4 + 1127 wrt a?\nAnswer: -4800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 1)*(-2*a + a - a)*(105 + 183 + 73).\nAnswer: 722*a","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.23, -9, 1\/8, -1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 550242680 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(1 - -2) - -8. Let c = 1 - o. Let z be 3 - (2 - c)\/(-1). Is 10 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*h + 248 - 67 = -367. Solve 0 = h*l - 4*p - 4, p - 2*p - 13 = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*u - 58 = 0, -5*m + 5*u + 20 = -170. Suppose 3*i - i - m = 5*l, -3*l = -2*i + 34. What is the remainder when i is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (3 - 0) - 2 - (66 - 71)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v - 5*v + 3*v - 5 + 2*v**2. Let a = 43 + -47. Calculate the remainder when 31 is divided by u(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -35 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*21592.\nAnswer: 75572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c - 75. Let k = -723 - -898. What is the highest common factor of k and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 958713942 a multiple of 398?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 3:13 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143 - 115. What is the greatest common divisor of 140 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6a406 (base 11) to base 9\nAnswer: -164380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14*(24\/240 + 4\/10) - 5. Factor 15\/4 + 9\/2*k**a + 33\/4*k.\nAnswer: 3*(k + 1)*(6*k + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h**3 - 2068*h**2 + 79022*h?\nAnswer: -6*h - 4136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y + y - 5 - 12*y**2 - 2 with respect to y.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2\/2 - 2*d + 54. Let v(h) = 3*h + 37. Let p be v(-10). What is z(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2057)*1)**2 + (2*(sqrt(17) + 1))**2 - (sqrt(4131)*2)\/sqrt(3)).\nAnswer: -2129 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-5)\/2 + 2). Let p = h - -10. Suppose p*c - 2*c - 6 = 0. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2. Let c(f) = -1. Let m(n) = -1. Let l(q) = -2*c(q) + 3*m(q). Let b(x) = -4*l(x) + 2*r(x). Let p(t) = 7*t**2 - 3. Calculate -3*b(g) - 4*p(g).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 357*d**2 - 9*d - 1.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22397?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12 - 10)*(2 + -1). Solve 3*m = -12, 5*m - 3*m = -a*w - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -2*d + 31 - 58, -2*v + d = 3*d + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-21)\/(-9) + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13011589*a**3*y + 4*a - 271741*y + 2 wrt a.\nAnswer: 78069534*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1156, -1147, -1136, -1123, -1108?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5780 divided by -66.\nAnswer: 2890\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - o + 1, 0 = -2*q - 8*o + 5*o + 13. Let r = 0.0562 + -0.3562. Which is the closest to -5? (a) r (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*w - 448 = -118*w. Suppose -w*d = -d - 3255. What is the remainder when 522 is divided by d?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 836.78 - 849. Let y = a - -12. Let q = -4.52 - y. Round q to one dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k\/(k*k**11*k*k))*k\/k**(-16)*k)**26)**(-30))**(-1\/47) assuming k is positive.\nAnswer: k**(25740\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/3, 12, -27, -8, -0.3, -1\/2?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 290387735 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/20757 and 44\/357.\nAnswer: 145299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 1 + 1)*(0 - 2 - 1) - 6*c + 0*c + c - 2*c + 3*c + c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6\/7)\/n)**(9\/5) assuming n is positive.\nAnswer: n**(-117\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.016 - -0.116. Is t less than -9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/(sqrt(11) + sqrt(539)))\/(sqrt(196) + sqrt(196) + -5*sqrt(196)).\nAnswer: -sqrt(13)\/168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315185 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 - (-31 - -2 - 15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 44*t**2 - 2*t + 88. Let s be x(44). Let m(a) = -a**3 - 4*a**2 + 2. Let z be m(-4). Let o be -5*-1*z\/2. Solve s = p - o*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4608 is divided by 136.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18180 - 18121.014. Let h = r - 59. Let p = -1.286 + h. Round p to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -257, 10, -2\/17, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -l, 3*l - 3*i = -0*i - 18. Suppose 0 = 4*g + 4*y - 64, 5*y - 32 = 4*g - 6*g. Suppose 26*n - 10*n - g = 0. Put 0, l, n in decreasing order.\nAnswer: n, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -186.8, 4 in increasing order.\nAnswer: -186.8, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981929 a multiple of 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xtttxxxxgyxggtygxdw. What is prob of sequence yyx?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1067*r**4\/6 + r**3\/2 - 245*r**2\/2 - 742*r. Find the second derivative of y(i) wrt i.\nAnswer: -4268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14910 = -33*g - 9*g. What is the remainder when g is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 2\/7 (c) 8\/23 (d) -5\/6 (e) 4 (f) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 104440012 (base 5) in base 8?\nAnswer: 1622244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4666470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -328*v + 329*v - 2*h - 2391, v = 3*h + 2393. Is 217 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24585 in -15\/14, 0.4, 7, -0.4?\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -1)\/(-2 - -1). Let y(n) = -n + 1. Let j(f) = 27*f - 12. Let g(t) = -7*t + 3. Let x(b) = 15*g(b) + 4*j(b). Calculate l*x(k) - 5*y(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2 - 5. Suppose -d = -4*r - 23. Let y be -2 + r\/(0 - 4). Let i(q) = -2*q. Give i(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14798, 29619, 44452, 59303, 74178, 89083?\n\"Answer: v**3 + 14814*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from wwaa.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 10*j + 1. Suppose -4*p - j = -62. Calculate the remainder when 54 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.149 - 9.1. Let l = 0.0586 - h. Round l to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 15*g**2 + 33*g - 16. Let j be r(13). Let b(p) = -5*p - 25. Let v(f) = -1. Let k(a) = j*v(a) - 3*b(a). Let o(l) = -11*l. What is o(k(n))?\nAnswer: -165*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*i - 40, -95 = -0*v - 4*v - 5*i. Let z be 90\/(7 + 8) + (-48)\/(-2). Calculate the greatest common factor of v and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 16, 0 = -h + 2*p + 43 - 34. Sort -31, -5, h, -1.\nAnswer: -31, -5, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(72) - (sqrt(72) + -1)) + -3 - sqrt(72)*1*-6))**2.\nAnswer: -5184*sqrt(2) + 93456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 5:00 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-5 - -16) + 0 + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*f = 14 - 219 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -164384274*j - 147554062.\nAnswer: -164384274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74756\/185 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 11:24 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3454 and 1.28.\nAnswer: -4421.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59680*o - 7 + 7 - 59681*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364038721.\nAnswer: 364038721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4281, -17117, -38513, -68469, -106985, -154061?\n\"Answer: -4280*u**2 + 4*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30015 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**3 + 12*h**2 - 2*h + 3. Let s be r(3). Let u(c) = c**2 + 6*c + 13. Let p be u(s). Solve 0 = -26*x + 30*x + p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/249872 and 145\/2328.\nAnswer: 749616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 7*w + 8. Suppose -3*i + 2*d = 6*d - 31, -2*i + 3*d = -15. Calculate the remainder when i is divided by c(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20220 (base 4) to base 3\nAnswer: -202110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**5 - d**4 + 3951*d**3 - 7*d + 895?\nAnswer: 80*d**3 - 12*d**2 + 23706*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/1)\/((1636\/(-409))\/(8\/2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9 - 141263*l + 282531*l - 141263*l. Let h(m) = -m - 1. Let a(j) = 4*j**2 - 6*j - 6. Let q(u) = a(u) - 6*h(u). Calculate i(q(w)).\nAnswer: 20*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*q - 220*q = -1458. Let l = -5455 + q. What is l rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 22*o - 29. Determine i(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11805150 to the power of 1\/2, to the nearest integer?\nAnswer: 3436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1656\/88 - 9) + (-2)\/(-11). Suppose 0 = 3*s, 3*q = -y*s + 5*s + 372. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301276393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36731 is divided by 272?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2*h*h**(-5\/2))\/(h*((h*h**(-2)*h*h)\/h*h)\/h*h\/((h*h*h**(4\/5))\/h))*(h*h**(-1\/3)*h*h*h)**13\/((h**(-1\/4)\/h*h)\/h**3) assuming h is positive.\nAnswer: h**(3073\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 94016081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {g: 3, f: 1, a: 2, z: 1, p: 3, h: 5}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+0.0274\nAnswer: -0.1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12452, -24896, -37340, -49784, -62228?\nAnswer: -74672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from snfsnnffssffffsssn?\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21065?\nAnswer: 5, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5\/2 + 785*y**4 - 60015*y**3 - 255150*y**2 + 350595*y\/2 + 1137645 = 0. What is y?\nAnswer: -3, 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9828556399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*a - 13*a + 33*a)*(-a**4 - 3 + 3).\nAnswer: 31*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 2*n + 0*n - 2*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 12 + 12. Let u be (-176)\/(-66)*n\/(-8). Suppose 5*b - 170 = -2*j, 0 = 5*j + u*b - 0*b - 446. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 16) to base 8\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 808.3 + -808.300011852. Round i to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 8*b**2 + 6*b + 1. Let h be s(-7). Suppose h*m - 3*m = 0. Suppose m = -a + 2. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/9 + 15397208*i\/9 - 14817125887204\/9.\nAnswer: -4*(i - 1924651)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*r**3 - 38 - 55*r**3 + r**2 - 57*r**3 + 234*r**3 - 60*r**3.\nAnswer: -r**3 + r**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1299*n + 3 + 1443*n + 1120*n + 4 - 5 + 2*n**2 in the form v + l*n**2 + z*n and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4706501 and 2856?\nAnswer: 790692168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z. Let o(h) = 2295*h**2 + 2*h. Calculate o(a(u)).\nAnswer: 9180*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7958*-3239.\nAnswer: 5816.5962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 15*m + 0 + 2\/21*m**4 - 1\/105*m**6 + 1\/70*m**5 + 0*m**2 - 4\/21*m**3. Find x, given that f(x) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 169.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 6:57 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1903*l**2 + 470*l + 77. Is b(-32) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**5 + 16670*a**3 - a**2 - 119146 wrt a?\nAnswer: 180*a**2 + 100020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 383 - 296 = 3*u, -4*i + 4*u = -680. Suppose 3*b - i = 98. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/4 - 5 - 8262\/(-1224).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 61575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.4 - 2.4. Let r = g + -2. Let q = 8193 - 8197. Put r, q, 2 in ascending order.\nAnswer: q, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s + 0*s - 2*s**2)*(-2567 - 1421 - 779)*(-3 + 1 + 1).\nAnswer: -9534*s**2 + 9534*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 32 = 5*j - 6*j, 5*g - 61 = -4*j. Solve -4*s = -g*s + 10, 5*v + 2*s = -21 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1548\/36)\/(((10\/(-8))\/5)\/((-8)\/(-32)))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 2*j - 2*b - 745, 2*j - 3*b - 500 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, x: 2, o: 1, d: 1, q: 2}. What is prob of sequence do?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 11*d + 6. Suppose -19 = -2*a + 1. Let p be l(a). Let c be (-3 - -31)\/p - -2. Sort c, 4, -4 in increasing order.\nAnswer: c, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 100, 297, 624, 1081, 1668?\n\"Answer: 65*h**2 + 2*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 134, 0.16, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.1095, 0, 0.19.\nAnswer: -2\/11, -0.1095, 0, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/48)\/((-596)\/9536).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 2*a**2 + 25*a - 38. Let c be p(-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: Two letters picked without replacement from lkqkzqccuuuuczq. What is prob of picking 1 l and 1 k?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 322*g**2 - 579*g**2 - 2865*g**2 - 2968*g**2.\nAnswer: -6090*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h - 19. Let c be f(11). Let l = -15 + c. Is 177 - -1 - (l - (4 + -4)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 18. Let d be (45\/(-2))\/(t\/(-8)). Suppose 0*s + d = 5*s. What is the highest common divisor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 - 66476*g**2 + 2*g - 50580.\nAnswer: 20*g**3 - 132952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + o**2 + o - 4. Suppose 3*g - g = 0. Let t be l(g). Let n(f) = -f**2 - 5*f - 6. Let v be n(-4). Put 1, t, v in descending order.\nAnswer: 1, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 - 3*r - 4. Suppose 0*w - 6 = 2*w. Let t be j(w). Let f = -2 - t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 551?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 10. Suppose -5*i + 6 + c = 0. Is i at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4032 and 252?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.696437398 from -28.56.\nAnswer: -33.256437398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -11. Factor 5*z**5 - 21*z**3 + 116*z**3 - 35*z**4 - 125*z**n - 20 + 0*z**4 + 80*z.\nAnswer: 5*(z - 2)**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -128, -125, -120, -113, -104, -93?\n\"Answer: h**2 - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-1)\/(-10)*-10. Suppose v*y = -3*y - 81. Let g(u) = u**2 - 6. Let a(j) = 4*j**2 - 25. Let o(c) = y*g(c) + 2*a(c). Determine o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8731 to two decimal places.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 4*w**2 + 4*w. Let x be l(-5). Let i be ((-765)\/84)\/3 - (-4)\/14. Let j = -53\/20 - i. Which is the second smallest value? (a) x (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440 = -50*g - 60*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z - 33 = -18*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*u, 4 = 2*u + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -8, 0.82 in ascending order.\nAnswer: -24, -8, 0.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15359*c + 59 - 29 - 12639*c - 30.\nAnswer: 2720*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from efsfesefsfeffefssfss.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 2*i + 3*l, 3*l - 2*l = i + 28. Let r = i - -17. Let u(j) = j + 9. Let d be u(r). Which is the closest to -1? (a) 0.2 (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 + 6 = 0. Let p = -3 + n. Suppose -2*u + 7 = -3. Solve 4*g - 17 + u = p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -477648, -477650, -477652?\nAnswer: -477654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - (-2)\/(-4))\/((-9)\/(-108)). Let o be (72\/27)\/(4\/h). Solve 3*c = -2*w + o, 0 = -3*w + c - 5*c + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/14)\/(12*3\/(-315)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 9*i + 4. Let v(f) = 18*f + 9. Give -5*l(x) + 2*v(x).\nAnswer: -9*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -271 * 0.0313195\nAnswer: -8.4875845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:39 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1775.4 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42328 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 30*c + 1. Calculate x(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 17. Let u be v(0). Suppose -2*z + 113 = u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7505 + 1500*y + 7506 + 4*y**2 - 5398*y)*(1 - 1 - 2)*(-y + y + y)*(-4*y + 6*y - 4*y) to the form p*y**2 + k + o*y**4 + w*y + s*y**3 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 57*n**2 - 123*n - 764. What is m(-55)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 + 7*x + 12. Let t be s(-3). Let q(n) = n**3 + 5*n**2 + 4*n + 2. Let r be q(-2). Calculate the greatest common divisor of r and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 32*f - 15. Let b(j) = 32*j - 15. Let o(y) = -4*b(y) + 3*v(y). Let t be o(3). Let x = t - -100. Solve i + 4 = -d, 0 = 5*d - i + 5*i + x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 8886.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80743277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 10. Suppose -76*t + 7 = -75*t. Calculate v(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1279 - -1273.415. Let a = 0.015 - n. Round a to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 3*x**2 - 3*x - 2. Suppose 4*g - 17 + 1 = 0. Suppose 0*m - g*m - 12 = -u, -u = -2*m - 8. What is p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Suppose 0 = 3*a - 0 - u. Suppose 2*f = -5*l - 21 - 2, l = -4*f - a. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 94*h**2 + 276*h + 582. Determine i(-91).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -325 (base 7) in base 3?\nAnswer: -20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/20 + k**4\/6 + k**3\/3 - 8*k**2. Suppose -3*s = 3*q + 6, 0*q + 5*s + 8 = -4*q. Give l(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3309, -6513, -9637, -12681, -15645, -18529, -21333?\n\"Answer: 40*a**2 - 3324*a - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -0.5, -45\/32, 0.6, 1 in descending order.\nAnswer: 76, 1, 0.6, -0.5, -45\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 6. Calculate n(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7\/5)*a)\/a**10)**(2\/7) assuming a is positive.\nAnswer: a**(-104\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/14)\/((-8290)\/899465)?\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + b)*(2 + 71*b**3 - 3*b**4 - b - 71*b**3).\nAnswer: -3*b**5 - b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8240.61407 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 3*p + 5*p + (1034 - 494 - 498)*(-p - p + 3*p) to the form v*p + r and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/4)\/(1\/8). Factor -g**2 - 7 + g**4 + 8 - g**c.\nAnswer: (g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - 0. Let y = -1.7 + 2. Let t be (-6)\/15*10\/(-18). What is the second smallest value in k, y, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-75) - (-8477)\/(-1225).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 13*r**2 + r - 6. Let m(d) = 8*d**2 + d - 3. Let w(p) = -6*c(p) + 10*m(p). Determine w(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8.6. Let n be ((-12)\/(-15))\/((-656)\/492). Which is the nearest to 2\/5? (a) f (b) n (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -9*s + 14*s - 576, -s + 120 = -5*b. Does 55 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - -4. Suppose -4*v + d = v. Solve v*b + 1 - 21 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 1074, 2815, 5376, 8769, 13006, 18099, 24060?\nAnswer: 30901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - 0. Suppose 0 = -h + j*h - 30. What is the highest common factor of h and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 7*j**2. Let r be ((-3)\/6)\/((-3)\/(-6)). Let z(i) = i**2. Let c(f) = r*y(f) + 5*z(f). Let g(p) be the first derivative of 7*p**3\/3 + 6. Give c(g(n)).\nAnswer: -98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 + 3*z**2 + 5*z + 6. Let f(n) = -2*n**3 - 2*n**2 - 3*n - 3. Suppose 7*l + 8 + 27 = 0. Let d = -10 - -7. Determine d*s(o) + l*f(o).\nAnswer: -2*o**3 + o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:16 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + 1.5. Let v = -1 + x. Suppose -y + 6*w + 3 = w, 0 = 5*y - 5*w + 5. What is the closest to 0 in -1\/6, y, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**5 - 45*y**4 + 115*y**3 - 35*y**2 - 120*y + 80 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.2, 153?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 0. Let b = g + -3. Put b, 4, -3 in ascending order.\nAnswer: -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w + 10. Let j = w + 7. What is the units digit of j\/6*-6 - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372)*-2*-6)**2*-4.\nAnswer: -790272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 25 = 0, 4*d - c - 16332 = 3*c. Let r = -2840 + d. Suppose i + 4*q + 246 = 0, 2*q + r = i - 6*i. Round i to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (10 - 21) - (197 - 174).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.029 + -0.001. Let r = -2 - -2.1. What is the nearest to o in r, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 45, 94, 165, 258, 373?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98647\/123 - -802. Let o = -229\/2091 + w. Which is the nearest to -0.1? (a) o (b) 2\/19 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*b**3 - 456*b**2 - 5*b - 151681?\nAnswer: 9*b**2 - 912*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 445367888 and 0?\nAnswer: 445367888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -236, -210, -184, -158, -132?\n\"Answer: 26*n - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 232 and 29783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 = 4*q + 1, 5*g - 4*q = 9. Let j be g\/3 - (-15)\/9. Suppose -9*z = -2*z - 7. Is j less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence waww when four letters picked without replacement from {w: 8, a: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*a + 23, -12 = -23*m + 22*m - 2*a. Let y(g) be the third derivative of 0*g - 1\/36*g**4 + 0 + 2*g**m + 0*g**3 - 1\/180*g**5. Factor y(h).\nAnswer: -h*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 400 - 393 - ((1 - 3) + -58)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9200\/72 + (-2)\/(-9). Suppose v = 2*y - 136. Is (-250)\/20*y\/(-10) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -782 and -581311500.\nAnswer: -581312282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - 30*b**2 + 26*b + 434. Does 6 divide l(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (78 - 50) + -11 + -46\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4*p + 16 = 0, -1 = 5*k + 5*p - 31 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-38)\/2166*9)\/(-6))\/2.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 5*a + 8. Let s be o(-6). Let w = -8 + 9. Find the second derivative of -w + 2*t + 1 + s*t**3 wrt t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379023 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 589579455 and 4.\nAnswer: 589579459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -2. Suppose b + 405 = -14*b. Let a be 8\/36 - 1\/(b\/(-6)). Solve a = m*d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*r + 1 + 4*r - 2*r wrt r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223*f**2*h**2*s + 354*f**2*h + 3*f**2*s - 5*f*h**2*s + h wrt h?\nAnswer: -446*f**2*s - 10*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 166*s**3*v - 3*s**3 + 3*v**3 - 295 wrt v?\nAnswer: 166*s**3 + 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23665970287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41, -227, -723, -1685, -3269, -5631?\n\"Answer: -26*h**3 + h**2 - 7*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883296.\nAnswer: 2, 13, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + (-3 - -3) + 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 10:02 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -3*f + 100773 - 16874, -419447 = -5*v - 3*f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-28)*-2 + -391*1. Let j = 595 + y. List the prime factors of j.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 - 2*i**3 + 5*i**3)*(-1 + 1 - 2*i) + 0*i**3 + 0*i**3 + i**4 - 472*i**4 + 214*i**4 + 231*i**4.\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -z - 4007, 0 = 5*q - z - 1688 - 8325. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3482 by -2.\nAnswer: 1741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d + 32*d + 25 - 68*d + 50. Let o be t(3). Solve o = -2*q + 5*w, -4*q + 3*w = -0*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.24 + -0.24. Let d = l + -3. Let n = d - -2. Which is the nearest to -0.1? (a) n (b) 0 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3102, 3090, 3066, 3030, 2982, 2922?\n\"Answer: -6*l**2 + 6*l + 3102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1890)\/(-540) + 110\/(-28). What is the closest to 1\/3 in c, 0.1, -1\/2, 104?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r + 1. Let f = 15 - 11. Let b = -13 + 22. Suppose q = f*q - b. Determine z(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6715288.\nAnswer: 2, 101, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2593 - 31878?\nAnswer: -29285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(47325\/(-675) - -71)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) - (-22)\/6. Let d be 9\/15 + 94\/10. Suppose -2*q = -x*m - q + 26, 5*q + d = 3*m. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60180.6 kilograms in grams?\nAnswer: 60180600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3159606 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6052*n - 24184. Determine x(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by 89466.\nAnswer: 34\/14911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-41)\/13 - 12\/(-78). Let h = -7 + x. Let g = h + 15. Calculate the smallest common multiple of 1 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:27 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35686284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j**2 + 13*j - 26. Let q be o(3). What is the third derivative of 3*r + 0*r**3 + 2*r**3 + 16*r**2 + 44*r**2 - 49*r**q wrt r?\nAnswer: -1176*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**5\/20 - s**4\/3 + 5*s**3\/6 - 2*s**2 - 2*s. What are the prime factors of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 3.9. Let x be (-30)\/(-90)*(-10)\/4. What is the nearest to b in -0.3, x, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 4. Let r be k(-6). Let n be (4\/(-5))\/(r\/(-60)). Let a be (-7 - (-3)\/1) + 12. Calculate the greatest common factor of n and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -1926, -3088, -4256?\nAnswer: -5430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.466 times 25?\nAnswer: 386.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 906731 to the nearest integer?\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and -207185.\nAnswer: 20718500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 261*c - 6530. Let u be s(25). Is -177\/43 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 49*m**2 - m - 184 wrt m.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/3 + 118348*s\/3 - 5794250\/3 = 0.\nAnswer: 49, 59125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/53 and 75\/34202?\nAnswer: 1812706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*((u**(-17)*u)\/u)\/u*u*u))\/(u**18\/u)*((u*u\/(u**(-17)\/u))\/u)\/u**11 assuming u is positive.\nAnswer: u**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79116 and 180.\nAnswer: 1186740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1179, 1189, 1201, 1215, 1231, 1249?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.2. Let m = 1.08 + -0.68. Put 8, m, f in descending order.\nAnswer: 8, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 59493, 118960, 178427, 237894, 297361?\n\"Answer: 59467*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from vlavy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 184367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 329 - -5?\nAnswer: 32e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*f - 136. Suppose 0*d = -2*d - f. Let x = -86\/5 - d. Is 0 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 894 - 5893 = -1393*l + 3359 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3f (base 16) to base 11.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 13*r**2 - 5*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 319622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3307493033?\nAnswer: 13, 1667, 152623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285663711.\nAnswer: 3, 95221237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60541250 by 518.\nAnswer: 116875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 + 10*n**2 + 4*n + 47. What is the remainder when 1925 is divided by x(0)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/(w**(-2\/25)*w*w))))**(-5\/7) assuming w is positive.\nAnswer: w**(23\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3126*z + 2853*z + 1174*z.\nAnswer: 7153*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*n + 16, -4*g + 2 = -2*g - 3*n. Suppose 1102 = i - a, 0 = -2*i + i + g*a + 1105. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/2773, -4, 3, 15, -5 in increasing order.\nAnswer: -5, -4, 2\/2773, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -346. Let m = 288 - y. Sort -12, -1, m in decreasing order.\nAnswer: -1, -12, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 31708632*i**2 + 31708635*i.\nAnswer: -3*i*(i - 10569545)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 f, 1 h, and 1 z when four letters picked without replacement from zfohq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 84679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -55259312 * -0.4\nAnswer: 22103724.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*z - 200, 3*z = 3*m + 2*z - 154. What is the remainder when m is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4*n**2 - 2*n**3 + 67*n**2 + 3*n**3 - 1 to the form g*n**2 + p*n**3 + k*n + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 + f + 3. Let w(q) = 5*q**2 + q + 5. Calculate 7*a(p) - 4*w(p).\nAnswer: p**2 + 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 314226917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98\/803 - -84\/73. Suppose 4*q = -2*m + 10, 0 - 10 = q - 2*m. Is q bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + -6*sqrt(95)*2)\/sqrt(5).\nAnswer: -11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 - s + 1. Let b(n) = 3*n**3 - 2*n**2 + 2*n + 1. Let r(h) = -b(h) - 2*w(h). Let t = 2 - 2. Determine r(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(1 - 1 + h) + 2*h + 0*h - 4*h)*(-2 + 0 + 4) - 2*h - 6*h + 2*h + 42 - 42 - 5*h + (1 - 2 + 2)*(2*h - 3*h + 0*h) + 3*h - 3*h - 2*h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-1 - (11 + 4))) + -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190760 and 187993980?\nAnswer: 375987960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12185 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -59. Put -3, v, -2, 2 in descending order.\nAnswer: 2, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 4:15 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 9*g - 1. Let p be w(19). Suppose p = 5*m + 39. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 2*y**2 + y. Let z be j(-1). Let o(g) = -2*g**3 + 27*g**2 + 12*g + 32. Let f be o(14). Which is the smallest value? (a) 0.3 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1394 + 1.4394. Which is the third smallest value? (a) y (b) 2\/7 (c) -1\/3 (d) 4 (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 3, 57 in decreasing order.\nAnswer: 57, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/1728)\/((-4)\/(-18)) - (-2 + 52\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 2*o + 1. Let l be q(-4). Let m = -7 + l. Solve m*s - 5 = -1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**3 + 720*w**2 - 28*w - 5278. Give j(-180).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 60*v - 383. What is g(6)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 5*j**2 + 4*j + 4. Suppose -2*r + 4*d = 2*r + 32, -4*r - d - 12 = 0. List the prime factors of p(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -21\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12210479 or -12210480?\nAnswer: -12210480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-30))\/(52\/130))\/((-6)\/140).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose o = 9 - 6. Let r be (-8)\/(-4) + n\/o. Solve q = r*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*k - 63, 0 = 4*w - 47*k + 44*k - 72. Let a = -229 - -145. Let q = 142 + a. Calculate the remainder when q is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 66 - 132?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0871 and 0.2.\nAnswer: 0.01742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13489939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.04 - -0.24. Let z = -5.2 - -5. Which is the nearest to z? (a) -3\/8 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-60)\/(-3))\/1 - -2. Let b = 25 - n. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 22*s**2 - 2*s + 2. Let a = -18334 - -18356. Calculate the remainder when d(2) is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/21 - (1968120024\/(-21))\/4. What is o rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0906298 rounded to three dps?\nAnswer: -1.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 21 = 69. Let j = -33 + 55. Calculate the smallest common multiple of k and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 65 - 3*x**2 + 2*x**5 - 34 - 44 - 40*x**3 wrt x?\nAnswer: 120*x**2 - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*h + 443*h - 225*h - 1)*(0*h + 0*h - 2*h).\nAnswer: -718*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 73, 153, 265, 409, 585, 793?\n\"Answer: 16*g**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.8 + 39. Sort -2\/3, 0.3, z in ascending order.\nAnswer: -2\/3, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 48 = -3*k + 3*q, 3*q + 155 = -25*k - 2*q for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (9 + -3)) + (25 - (-7 + 9))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {q: 2, p: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 7.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 4011 + i**2 + 4022.\nAnswer: -4*i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x**3 + x**2 - x - 1. Let l be h(-1). Let u(b) = -b**3 + 7*b**2 + 2. Let d be u(l). Let w = d + -2. Solve w*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 680*v - 4. Let b(j) = 21*j + 1. Let z(s) = 83*s + 4. Let c(q) = -4*b(q) + z(q). Calculate c(r(i)).\nAnswer: -680*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {j: 1, f: 2, i: 1, w: 1, n: 1, h: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 928 = 3*n. List the prime factors of n.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -6. Sort c, 5, 1, -1.\nAnswer: c, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g. Let q(b) = 77*b. Calculate q(w(r)).\nAnswer: -154*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g + 3*n = -26*g - 457, -2*g + 2*n = -228. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1424?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/43596 and -31\/8.\nAnswer: 87192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-105)*-3)\/((-2968)\/(-1590))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v + 138 - 204. Let i = -15 - -23. What is the least common multiple of v and i?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 956 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oad when three letters picked without replacement from {d: 7, a: 1, e: 1, o: 3}?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + u - 19 = 0, 7 + 7 = -2*a + 5*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000127021 rounded to seven decimal places?\nAnswer: -0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -1\/115, -1 in ascending order.\nAnswer: -19, -1, -1\/115, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 292599517 to the power of 1\/3, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4.2. Let f(w) = 18*w**3 - 21*w**2 + 2*w - 1. Let x be f(1). Which is the fourth smallest value? (a) 2\/3 (b) 1 (c) x (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 7, -9, -45, -107, -201, -333?\n\"Answer: -n**3 - n**2 + 8*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17\/11 + 97\/77. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105628, -105400, -104682, -103228, -100792?\nAnswer: -97128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -9 + 0*p**5 + 10\/3*p**3 + 0*p**4 + 4\/3*p**6 + 0*p + 0*p**2. Find the third derivative of j(m) wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*p**2 + 377*p**2 - 8*p**3 + 80*p + 60 + 13*p**3 = 0 for p.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136491006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 248006 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9488*k + 32506*k + 143961*k + 2430*k.\nAnswer: 188385*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {r: 6, h: 7, f: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -15 (c) -1 (d) -1\/11 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/23 in -2, -8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - j**2 + 4. Let z be y(0). Let w be (-21)\/(-4) + 3\/(-12). What is the third derivative of l**2 + z*l**w - 3*l**2 - 6*l**5 wrt l?\nAnswer: -120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111110 (base 2) to base 5.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 28 = 5*p. Let a = -14 + p. Solve -5*u + 15 = -a*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.661 to zero dps.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -79 + 6*i + 75 + 3*i**2 + i**2 + 4*i**3 - 2*i**3. Let c = -220 + 231. Let j(u) = -5*u**3 - 11*u**2 - 18*u + 11. Give c*d(g) + 4*j(g).\nAnswer: 2*g**3 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2389*a + 102852 + 26154 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 68189*s + 1 + 68265*s.\nAnswer: 76*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1745 or -144736\/83?\nAnswer: -1745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105564?\nAnswer: 2, 3, 19, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -43. Is k less than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -9685*i + 12629227. What is t(1304)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2344514.\nAnswer: 2, 1172257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020353647 rounded to seven decimal places?\nAnswer: -0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 567539 >= 567538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -317, 3, -4, 5, -3 in decreasing order.\nAnswer: 5, 3, -3, -4, -5, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 627212.1ml in litres?\nAnswer: 627.2121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p. Let s be h(0). Suppose -5*o + s*o = -10. Let a(x) be the second derivative of -x**3\/6 + 3*x. Calculate a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a year?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2 + -0.8. Let q(g) = -57 + 4*g**2 + 47 - 119 - 36*g - 5*g**2 - 52. Let n be q(-6). Which is the closest to n? (a) 0.1 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2. Let l(g) = 3*g**2 + 182224*g. Determine l(h(q)).\nAnswer: 48*q**4 - 728896*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**3 - g**2 + 2*g**2 - 3*g**3 + 4*g**3.\nAnswer: -3*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {t: 3, r: 12}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*a = 858 - 9405 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -264.1 - -263. Which is the third biggest value? (a) -2\/5 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 3:53 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -144370 (base 11) to base 3\nAnswer: -102110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27*k)\/k*k**(-16)\/k*(k*k**26)**(-5) assuming k is positive.\nAnswer: k**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2735 - -1.7265. Let m = 3.94 + 0.06. Sort -1, x, 2\/3, m.\nAnswer: -1, 2\/3, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-6874)\/(-490)*2 + (-68)\/1190.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24777.963us to hours.\nAnswer: 0.0000068827675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 165, 5, 2, 2.3, 4 in decreasing order.\nAnswer: 165, 5, 4, 2.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127\/36 - -15\/4. What is m in 2\/9*m + 0 + n*m**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 4 - -11 - 2. Let s(m) = m**3 + 3*m**2 - 2*m - 4. Let l be s(-3). Solve -a + u*a = l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/4 - 17*p**4\/24 + 13*p**3\/6 - 2*p**2. Let a(q) = -7*q**2 + 8*q - 6. Let f(u) = -13*a(u) - 6*g(u). Solve f(d) = 0 for d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 7710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3080 - 552 + f + 1128.\nAnswer: f + 3656","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 728\/224 + (-5 - (3 + 5*(2 - 3)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*j + 5*g - 4, -j = -g. Suppose 2*x = n + 2*n - 95, 0 = -n - j*x + 26. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/6 + 1295\/21. Calculate the highest common divisor of i and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9c69 - 35?\nAnswer: 9c34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1209)\/6)\/(-4*(-1)\/8). Which is smaller: -404 or b?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 8671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 5*m**4\/24 - 4*m**3\/3 + 43*m**2. Let n(k) = -2*k. What is n(w(p))?\nAnswer: -10*p + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 0 - (-42 + 39)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*v**3 + 132019*v**2 - v + 7330988 wrt v?\nAnswer: -30*v**2 + 264038*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 9*j**2 + 12*j - 14. Let w be l(10). What is the tens digit of w\/(-3)*(-130)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -35572536.\nAnswer: -5\/17786268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 2*k + 4. Let c be i(-3). What is the derivative of 7*j**3 - 4*j**3 + c - 6 + 0 wrt j?\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g. Let x(h) be the first derivative of 28 + 0*h - 1\/2*h**2. Let m(l) = 2*l**2 - 2*l. Let i(n) = 5*m(n) - 10*x(n). Determine i(p(u)).\nAnswer: 90*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4190*g**5 + 124*g**2 - 10 wrt g?\nAnswer: -251400*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/621 and 157\/270.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -757785, -1515593, -2273401, -3031209?\n\"Answer: -757808*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y**3 + 1763*y**2 - 483*y + 433. Give t(160).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002721231 to the power of 1\/3, to the nearest integer?\nAnswer: 1443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*a**2 - 5)*(0*a - 2*a + a) + (a + a + 0*a)*(-a + a + a**2) + 3*a**3 + a**3 - 23*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68233954 to the nearest integer?\nAnswer: 8260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55683746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 39*h**2 - 35*h - 111. Let o be (-22)\/(-77) - 264\/(-7). Calculate z(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-687)\/2748)\/(((-6)\/(-15))\/(296\/5))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7883\/120 + -517\/8. What is o in -2\/15*o**2 - 32\/15 + p*o = 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 33. Suppose 0 = f + i - 571. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1594 - 1020.2. What is m rounded to the nearest 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425051087 is divided by 1253838.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 2*g + 2. Let h = 392 - 395. What is s(h)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 227498266 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23124 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p**2\/10 - 125611557*p\/5 + 15778263251964249\/10 = 0. Calculate p.\nAnswer: 125611557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 + 1998\/259.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 0.14349.\nAnswer: 7.14349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**7\/504 + n**4\/8 + 2*n**2. Let m(h) be the second derivative of x(h). Let u(p) = p. Determine u(m(g)).\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(3) - -4*sqrt(3)) + sqrt(6))\/((-5*sqrt(24))\/sqrt(8) - sqrt(3)).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvm. Give prob of sequence mt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -610*u - 233633. Determine b(-383).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105771, -422900, -951417, -1691322?\nAnswer: -2642615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2. Let q(p) be the second derivative of -877*p**3\/6 - 68*p. What is q(z(v))?\nAnswer: 877*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 8:18 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1 - 1 + 1 - 2 + (-1 + 0 - 1)*(-4 + 2 + 3) - 1 + 4 - 2 - 5 + 3 - 8)*(-4 + 3 - 3)*(2*h + 2 - 2)*(-h - 2*h + h)*(1 + 0 - 2).\nAnswer: 224*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 5*h + 6. Let i be r(-5). Let g(d) = d**2 - 5*d + 2. List the prime factors of g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1292, -14, -1, 59, 4 in ascending order.\nAnswer: -14, -1, 4, 59, 1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44420*r + 44420*r + 2*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 + -6 + -16 - -272. Solve -10*z - 232 = -d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, h: 3, i: 2}. What is prob of picking 1 h and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*l + 6654 = 2866*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = -24*r + u + 3779, -3*r + 5656 = -4*u. Calculate the highest common divisor of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/2 + 0)*-1. Let s be 4*(5\/2)\/p. Suppose -22 = -4*v - s. Solve 0 = -v*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/43581586?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/3 + 4)\/(-1). Let q be (l\/(6\/(-10)))\/(-1). Let i be (-2)\/q + (-4)\/10. Which is bigger: -1\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.2, 3, 2.14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -603*f - 14. Let w(k) = -1205*k - 29. Let a(r) = 9*b(r) - 4*w(r). Is a(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67\/1260 + -1\/252. Put -3, -0.2, p, -1 in ascending order.\nAnswer: -3, -1, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 3*y + 1. Let k be q(3). Let x be 1\/(2 + k + -2). Is x >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001152293 rounded to six decimal places?\nAnswer: 0.001152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1701 is divided by 122?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2. Suppose 37 = 7*r + 9. Let z(d) = -d**3 + 5*d**2 - 4*d + 2. Let v be z(r). Which is the third biggest value? (a) k (b) 7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3076\/5383*(-7)\/106.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.01 rounded to 1 dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vczs when four letters picked without replacement from {c: 1, v: 1, g: 6, z: 3, s: 3}?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -936*a + 929*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -0*y - 15. Let k(b) = b**3 - 1 - b**3 - 6*b**2 - b**y + 0*b**2 + 8*b. Let z be 4\/6*((-551)\/(-58) - 20). Give k(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - 2) + 5 + -3)*-1439. Let d = y + 2687. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**2\/3 + 978*z + 5876\/3 = 0?\nAnswer: -2, 1469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*n + 19958 = 37*n + 1436 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:14 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -11 - (1 + -6)) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -375747.1042214?\nAnswer: -375747.3042214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14650652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 15 = 3*y. Let l(k) = k**2 + 4*k - 7. Let c be l(-6). Let w be (-3)\/(-15) - 1\/5. Sort w, c, y in decreasing order.\nAnswer: c, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 + (-2 - -2) + -6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 0*q + 12, x + 5*q - 23 = 0. Let y = 43 - x. What is the second biggest value in -1\/4, y, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*j - 5*v + 357, 4*v - 67 = 2*j - 109 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9700 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 5*t + 7*t**3)*(4*t - 5*t + 2*t) + 2*t**4 - 3*t**4 + 3*t**4.\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 919.9318 milliseconds?\nAnswer: 0.9199318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 0 + (0 - -5). Suppose -4*x - 6 - 2 = 2*b, 4*b + 16 = -t*x. Solve x = -4*f + 3*r + 7, r + r + 4 = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -18*x**3 - x**2 - 3*x - 2. Let l be n(-1). What is the tens digit of ((-3)\/(-6))\/((-3)\/l) - -174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -1115691.\nAnswer: 110453409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1437730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10949979.\nAnswer: 3, 3649993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 4*r + 6*r**4 - 3 - 2*r + 3*r**2 + 0*r to o + x*r**2 + c*r**4 + u*r**3 + y*r and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, a: 7}. Give prob of picking 1 a and 2 m.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - -27. Let w be (-92)\/(-28) - (-2)\/(-7). Let k be w\/5 - 2\/(-5). Solve 0 = -2*s - 9 - k, -4*z + j = -5*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -0.03 (c) 1.93 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*w + 2*w + 30, w = -5*k + 27. Let v(p) be the third derivative of p**6\/60 + 3*p**5\/20 + 5*p**4\/24 - p**3\/2 - 4*p**2. Is v(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 82?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2\/13 (c) 96 (d) -2 (e) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-30)\/60). Let s(a) = -11*a**3 - 2*a**2 - 3*a - 2. Let j be s(o). Let w = 2 - 2. Solve -2*h + w*h = j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10710)\/(-112))\/3 - ((-474)\/(-48) + -10)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(2\/3))\/w**(4\/7))\/((w\/(w\/(w\/(w*w\/w**0))))\/w)**(-7\/9))**25 assuming w is positive.\nAnswer: w**(-725\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -1001 - -619. Let z = u - -669. Is 1\/(-2) - z\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-12)*(-3)\/(-2))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 8288?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 263548, 526880, 790220, 1053574, 1316948, 1580348?\n\"Answer: o**3 - 2*o**2 + 263331*o + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c31 (base 13) in base 2?\nAnswer: -11101110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 137? (a) -3 (b) -0.1 (c) -839 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 69 (b) 0.6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*f - 178*f + 356 = -130 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 9*t + 5. Let w(p) = 10*p - 119. Let u be w(16). Suppose -2*k + 57 = u. Calculate l(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1287.09436 rounded to the nearest integer?\nAnswer: -1287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 at most as big as 424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/15)\/(1\/40). Suppose -4 = -4*x + q. Let j = 4 - x. Do j and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 4 - 52 = 0. Let q be (-9)\/n*(-1 + 33\/9). Let h(k) = -k**3 - 5*k**2 - 2*k - 5. Let a be h(-5). Solve -11 = a*g - q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -6*b + 3. Let f(o) = 4*o**3 - 2*o - 1. Suppose 0 = -r - 1 - 0. Let s be f(r). Sort b, s, 4 in decreasing order.\nAnswer: 4, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*b + 18, -4*b = -b + 6. Let v = -145 - -154. Suppose -i*r - 10 = -v*r. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*n - 5, -2*i + 15 = -8*n + 9*n. Let d = -3 + 33. Suppose 29*p + 3 = d*p. Solve -p*c + 10 = i*g + 2*c, 2*g = -3*c + 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/2)\/(-3)*-6. Suppose m = w*m. Let a(h) = -3 - 5*h**2 + 2*h + 7 + m*h - h**3. Give a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*h - 5, 5*h = -2*z - 2 + 33. Suppose -2*c - z = 1, 2*f = c + 6. Let s(m) = -m + 2 + 2 + 2*m + f. Calculate s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2\/2 + 105*u + 900 = 0. What is u?\nAnswer: -30, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/130 and -11\/19123.\nAnswer: 191230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/5886 and -10\/189.\nAnswer: 41202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3228627 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3269140 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 169866.9819 milliseconds in weeks?\nAnswer: 0.00028086471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35783100 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/(6\/8). What is the second derivative of -a*y**3 + 2*y - y + 2*y**3 + y**4 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -153 in 1, 161, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m. Let c(q) = q**2 - q. What is 5*c(h) + u(h)?\nAnswer: 5*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798 divided by 31?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 4:58 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 248.1398m?\nAnswer: 248139800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + 1 + sqrt(612) + -3)*6 + 5)*1)**2.\nAnswer: -2232*sqrt(17) + 22993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 945.0066 litres to millilitres.\nAnswer: 945006.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 6*j - 5. Let w be m(7). Let h(n) = 5 + 4*n - n**w - 6*n + 1. What is h(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a2 + -64?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244525388.\nAnswer: 2, 107, 571321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(33)\/sqrt(3) - (1*sqrt(33))\/sqrt(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let z(q) = -16*q**2 + 6. Let y(p) = -p**2 + 1. Let i(g) = 6*y(g) - z(g). Determine i(f(s)).\nAnswer: 160*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 231\/528*(0\/4 - 4)*-16\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -626 times 0.4\nAnswer: -250.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7061 and 1737313?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/(-15) + 3)*4. Suppose 4*v + 4 + 7 = 5*s, v = -5*s - 9. What is the closest to 1\/3 in v, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 89, 198, 351, 548, 789?\n\"Answer: 22*y**2 - y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {d: 13, v: 1, q: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-3) + -1 - 284\/(-30). Which is bigger: s or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {d: 2, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00744403432 rounded to 4 dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = -4*v. Suppose 5*m = v*m + 46. Is 6 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + k + 0 + 17 = 0, k = -n + 1. Suppose -2 = -5*x + n. Let f(q) = 9*q**3 + q**2 - 1. Calculate f(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 15*x - 4*x)*(1 + x**2 - 1)*(-2 + 2 + 2*x) + (3 + 1 - 2)*(0*x**4 + x**4 + x**4) to the form t*x**2 + p*x**3 + w + g*x + j*x**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {j: 1, x: 3, c: 10, i: 1, q: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/(126\/605763) + 8\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2165749 is divided by 51.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -0.2 (c) 5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2163)\/1854*54\/(-273)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 632 + -935. Let j = r - -311. Solve -4*x + 16 = -j*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*x - 18 + 18.\nAnswer: -276*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from ojojjoojiijj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/5 - 4*h**3 - 126*h**2\/5 - 196*h\/5 + 343\/5.\nAnswer: -(h - 1)*(h + 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4 + 2860*k**3 - 326000*k**2 + 9072720*k - 73839600 = 0?\nAnswer: 18, 106, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6\/287, 0, 0.2, 3, -1\/7, 146?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 624948588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:57 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(2\/(-306)). What is the third derivative of 58*c**2 + 9*c**5 + 2*c**5 - l*c**2 wrt c?\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 + 3*i**2 - 4*i**2)*(2 - 3 - 1) + 0*i**2 - i**2 + 0*i**2.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 6*i - 9. What is u(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + b = 16, 4*b + 24 = 5*m. Solve 2*l - t = 3*l + m, -l + 5*t + 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572.3 plus 0.1?\nAnswer: 572.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 11358*z - 244. Let r be k(16). Suppose 0*t - r = -3*t + c, 20 = -4*c. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 2*s**3 + 6*s**2 - 2*s**3 + 6 - s + 0*s**3. Let g be y(6). Suppose -l + g = -2. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7536 and 3768.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 7 + 8. Let n be (-1)\/(-5) - 672\/q. Solve 15*d + 2*d**2 + 13*d + 11*d - n*d = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 1159\/4*c**2 - 33524*c - 13456 - 5\/8*c**3 = 0.\nAnswer: -2\/5, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -5 + 28 + -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -15 + (-1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 15*a**3 + 19*a**2 + 6*a. Let i(r) = -3*r + 22. Let g be i(9). Let j(m) = -30*m**3 - 37*m**2 - 12*m. Let s(c) = g*o(c) - 2*j(c). Factor s(u).\nAnswer: -3*u*(u + 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -158*r + 43. Is h(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 59\/30 - -11\/30. Let j(r) be the first derivative of z*r**3 + 0*r**4 + 1\/5*r**5 + 7 + 0*r + 0*r**2. Find the third derivative of j(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 159117905*n**4 + 32628830*n + 2.\nAnswer: 1909414860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -192 - 6*j**2 - j**2 + 122*j - 124*j + 4*j**2 + 4*j**2 to the form h + t*j**2 + c*j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 12 = 4 + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**6\/105 - 39*m**5\/70 + 169*m**4\/14 - 2197*m**3\/21 + 3*m - 605. Find t such that l(t) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370739687993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 616 - 614. Suppose 0 = -h - 0*h + 4*x + 310, -u*x - 8 = 0. Calculate the highest common divisor of 126 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 144*a - 2145. Calculate n(14).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -29. Let w(i) = -4*i**3 - i**2 + 3*i - 2. Let q be w(1). Let l be ((-8)\/(-3) + q)\/(4\/(-9)). Solve 4*g = -3*t + 7, t - l = -5*g - h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*d - 723 + 697, 3*x - 5*d = 49 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c. Let k(i) = i**2 + 8*i + 2. Calculate the remainder when p(-4) is divided by k(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 11*h - 7. Let s be m(11). Let l(q) = -10*q + 29. Let p(i) = 5*i - 14. Let t(u) = s*p(u) - 3*l(u). Let r(n) = -2*n + 4. Give 8*r(x) - 3*t(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 3:53 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 439?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.48802 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 0*a - 2*a**3 - 21*a**2 - 23*a + 0 + 5*a**3 - 11 + 2*a**4 in the form s*a**2 + n*a + c*a**3 + p + u*a**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -1f757fa?\nAnswer: -1f757f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 362605039 divided by 2.\nAnswer: 362605039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 4, q: 2, d: 5}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/99440 and -11\/18?\nAnswer: 894960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 11*p - 2 - 6*p - 7 + 0 as x + j*p and give j.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = 0, 0 = -b + 34*m - 31*m + 5069. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -66. Let k = 19.6 - s. Let n = -2.5 - -3. What is the nearest to 1 in k, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(-44*100\/862400).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**5\/20 + b**4 + 11*b**3\/6 - b**2\/2 - 15*b. Let x be g(-11). Is 311 + (-3)\/(-2 - x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124096 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 78 = -6*f. Let q(a) = 2*a**2 - 3*a + 8. Is q(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410258255?\nAnswer: 5, 11, 173, 43117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1588837 to the nearest integer?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 75b15 (base 13) to base 11\nAnswer: 135965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-1740)\/203)\/(-30))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12869111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*x + 11. Let y(k) = 2*k - 1. Let l be y(x). Find the third derivative of -m**2 + 4*m**5 - l*m**3 + 3*m**3 wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76540*n**4*v + 155*n**2*v**3 - 21*n*v**3 + 763*n + 948*v wrt n.\nAnswer: 918480*n**2*v + 310*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -262.173 and 108234.69.\nAnswer: 107972.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.863925\nAnswer: -0.0863925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 0*j + (3 - 1 + 0)*(-4*j + 3*j + 3*j) + 3 - j - 3)*(j**4 + 0 - j + 0).\nAnswer: 2*j**5 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**(-1\/3)))\/c)\/(c**(-2\/9)*c))**37 assuming c is positive.\nAnswer: c**(-481\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 1 - 4)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 21669.53449046.\nAnswer: 21671.53449046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/224 and -1\/21?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/16 and 73\/2640?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -28. Let g = -36285 - -36275. Which is the second smallest value? (a) j (b) -2\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -148? (a) 2\/9 (b) -5 (c) 0 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -54064 (base 7) to base 13\nAnswer: -6157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = 6*f - 15*f + 13. Put 8, -2, 3, f, 1 in descending order.\nAnswer: 8, 3, 1, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let r(l) = l. Let p(f) = -f + 3*f - 4*f. Let k(b) = p(b) + r(b). Determine k(d(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t + 4. Sort -2, 3, t in decreasing order.\nAnswer: 3, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3633185*j**3 - 5*j + 55324798.\nAnswer: -10899555*j**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*y - 67. Let j be (-128)\/y - (-58)\/(-261). Solve -w - 3*v = -8, -v + 6 - j = -5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 2732.4203059.\nAnswer: -2732.5203059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4)\/3080*-586 - (-14)\/(-77).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 + 5*y**4 + 100*y**3 - 100*y**2 - 320*y + 320 = 0. What is y?\nAnswer: -4, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 117870 divided by 1\nAnswer: 117870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from momom?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 - 12*i**3 - 112*i**2 = 0 for i.\nAnswer: -4, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3350396898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*y - 8*g - 942, 0 = -g. What are the prime factors of y?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/5)*t**(2\/7))**(-4\/21)*(t**(-2\/3))**4*(t\/t**(-2\/5))**(-40) assuming t is positive.\nAnswer: t**(-14452\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 309217044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 - 166258 = 16568*i + 1193760 + 313434 for i.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 121.378 and -222.\nAnswer: -26945.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/7)\/(p*p**2) assuming p is positive.\nAnswer: p**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8 - 253\/44.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101000011110001 (base 2) to base 8.\nAnswer: 250361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186029.\nAnswer: 19, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*3 + (2 - 0). Suppose 2*i - p - 9 = 0. Let o = 13 + i. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -673136580 not equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -17. Let h = -7.9 - i. Let o be (-4 - -2)*(-1)\/2. Which is the nearest to h? (a) 6\/11 (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m - 4. Determine r(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 674, 0, -4, 1, -160, -3 in increasing order.\nAnswer: -160, -4, -3, 0, 1, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-120)*57\/(-418).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 360, 661, 952, 1227, 1480, 1705, 1896, 2047?\n\"Answer: -b**3 + b**2 + 305*b + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247064 - 901257 = -47*i. List the prime factors of i.\nAnswer: 31, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -17\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/7)*h*h**(-4\/7) assuming h is positive.\nAnswer: h**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/910*13 + 0 + (-3)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91\/6 - -121\/15. Let z be 374905\/120 - (-2)\/3. Let i = 3130 - z. Find the common denominator of i and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*r + r + 378, 3*t = -r - 222. Put 5, 4, t, -5 in ascending order.\nAnswer: t, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8) + (-187)\/(-204). Sort -0.12, -5, 2, f.\nAnswer: -5, -0.12, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 256*g**2 - 3807*g - 495.\nAnswer: (g - 15)*(256*g + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14813 = -10*s + 33*s - 84296. What is the highest common factor of s and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3 + 2*s + 3. Let h(v) = 7*v**2 - 4*v**2 + 8*v**2. Give d(h(y)).\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.05, 1, 2, -2\/9, 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -16. Let z(s) = -s**3 + 7*s**2 + 9*s + 4. Is z(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2112328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.0945 centuries to decades.\nAnswer: 180.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Let t = 4 - h. Let z = 1 - t. Sort z, -5, -4.\nAnswer: -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -129828, -129804, -129780, -129756?\n\"Answer: 24*f - 129852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsi when three letters picked without replacement from iiissffdisssipdf?\nAnswer: 5\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 146821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.33 + 0.33. Is -0.4 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**2 + 5*q**2 + 2*q - q)*(-4*q**3 + 5*q**3 - 3*q**3).\nAnswer: 4*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**3 + 672*i**2 - 668*i = 0 for i.\nAnswer: 0, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/25)\/((-6)\/(-20))*((-893472)\/1148)\/(-227)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/1*13\/78.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c + 12. Let f(s) = -s - 1. Suppose 2 = -5*d - 3. Let b(j) = d*v(j) - 12*f(j). Let g(r) = -2*r + 24*r - 9*r - 9*r. Determine b(g(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1778 and -99\/55372?\nAnswer: 387604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072 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: What is 723 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**2 - 40. Let b(u) = -14*u**2. Calculate a(b(c)).\nAnswer: -1960*c**4 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 335484000?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17618.251 take away 1?\nAnswer: -17619.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3620, -14191, -31768, -56315, -87796, -126175, -171416, -223483?\nAnswer: -282340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 104 = 4*a + 2*n, -5*n = -a + 35. Suppose 0 = 6*p - a + 1. Suppose -p*o + 2*o = -178. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 19, 27, 35, 43?\n\"Answer: 8*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 + 433*c - 166 - 433*c)*(5 - 5 - 3*c**2) as g*c**2 + j*c + t + f*c**3 + z*c**4 and give g.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -3.3, -3, 0, -2, -1\/5, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 16 = -3*r - 11, -2*r = 2*j - 12. Suppose -3*o + 2*z + j = -6, -2*o - z = -3. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4495 and -15418.\nAnswer: -10923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-1 + -4) + 28. Let a be d\/(-10)*32\/(-10). Let h(b) = b - 12. Calculate h(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -89, -25, 87, 253, 479, 771?\n\"Answer: y**3 + 18*y**2 + 3*y - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7507, 10749, 13991, 17233?\nAnswer: 20475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 1283675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Suppose -r*m = -x - 9, -x - 2*m + 0 = -5. Which is smaller: x or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647258.5 millennia in decades?\nAnswer: 64725850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u + 3*q - 13, 3*u - 8 = -4*q. Suppose 69 = 5*t + u. Suppose 2933 = -12*p + t*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3 + 6731146*o**2 - 40386849*o + 60580260 = 0. What is o?\nAnswer: 3, 6731140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(144)*-3)\/((sqrt(108) - sqrt(108)*2 - sqrt(108) - sqrt(108))*-1).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 101111011100?\nAnswer: 101111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10 - 0)*6\/15. Let n be ((29\/58)\/(5\/(-6)))\/((-2)\/10). Suppose 0 = q*o - 93 - n. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31910831 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 184?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + (-26707)\/1479)\/(5\/(-6))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/7)\/(i\/(i\/i**(-5\/4)))*(i**(6\/13))**(-46) assuming i is positive.\nAnswer: i**(-7117\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2088 = 714*q - 656*q for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6579*n**2*z**3 - 8*n**2*z**2 + 14*n**2 + n - 650*z**3 + 182*z**2 - 21 wrt z?\nAnswer: -39474*n**2 - 3900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*1771\nAnswer: 3010.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 115581*-0.4\nAnswer: -46232.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.311 - 0.089. Let o = s + -6.2. Let n = o - -22. Which is the closest to 0? (a) n (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88283699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 5.08. Let g = 32 + -20. Let t be g\/32*(-2)\/(-3). What is the nearest to t in v, -0.1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Suppose 29 = 3*f + 5*u, -u = -4*f + u + x. Suppose 3*z = 2*o + 70, -f*o + 143 = 5*z + 39. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**25*j))*j)\/(j*j**(-2\/55)) assuming j is positive.\nAnswer: j**(1487\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -22948320 divided by -96?\nAnswer: 239045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455967, -455970, -455973, -455976?\nAnswer: -455979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12)*-6 + 66. Let x = 60 + v. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*o**2 + 246*o**2 - 62*o**2 - 64*o**2 - 58*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -21, -56, -89, -120, -149, -176?\n\"Answer: i**2 - 38*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1100011?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1259 + -598. Suppose -13*j + c = -2381. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1356 + -1352. What is the nearest to -0.1 in 1\/7, 7\/5, -0.5, m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 12, a: 7}. Give prob of picking 3 a.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -467.0406 + 467. What is w rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qt when two letters picked without replacement from xqxxxxxxxxtxxx.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**1)\/((l\/l**(-3))\/l))\/(l\/(l**(-1\/2)*l)*l\/(l\/l**3)))**(3\/31) assuming l is positive.\nAnswer: l**(-27\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -101*y - 988. Give o(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0 (b) 5 (c) -1\/8 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*w - 20. Suppose 0 = -2*y + 13 - w. Suppose 0 = -5*v - 3 + 13. What is the remainder when y is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**2 + 5347*b**3 - 5350*b**3 - 28*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/270 and -11\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**2 - 1563*j + 69329. Determine n(-352).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 + -151. Suppose -4*c - 4*t = -u, -5*t + 18 = -3*c + 4*c. Solve 4*z - p - 12 = -5*p, 11 = 2*z + c*p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 13*i**4\/2 + 21*i**2\/2 - 24. Let j(b) = -29*b + 11*b**3 + 16*b - 6*b**3 + 17*b. Calculate 2*h(z) - 11*j(z).\nAnswer: -3*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789091*m - 4092584*m - 3708366*m.\nAnswer: -7011859*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 12143628.\nAnswer: 12143628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 2*c**2 - c - 1. Let y be x(-1). Let q(h) be the first derivative of 1\/9*h**3 + 2\/3*h**2 + y + 4\/3*h. Find i such that q(i) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 6*x - 1. Let g be l(5). Let t = g - -9. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**4\/3 + r**3 - 8698*r**2. Let y(z) = -9*z - 7. What is -4*s(d) - 3*y(d)?\nAnswer: -5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 6:20 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -208 - -209. Let w = -51 + 57. What is the fourth smallest value in o, 3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 6 - 4 = 0. Let w(k) = -k**2 + 4*k - 4. Let x be w(3). Let b be (-2)\/((5\/2)\/(-5)). Put x, b, p in decreasing order.\nAnswer: b, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*f + f + 195, s = -5*f - 55. Let u = 83 + s. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 13 + 0 + (8 - -21 - 19 - -75)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-1*14\/1 - 0). Suppose -2*n + 79 = -i. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (2 + -47)*(-52)\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -5*x**5 - 1230*x**4 - 16235*x**3 + 1230*x**2 + 16240*x = 0?\nAnswer: -232, -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 13*k - 14. Let w be v(13). Let m = 1 + -13. Let q = m - w. Solve -x = -4*n - n - 4, 5 = -q*n - 3*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1035 (base 8) to base 4\nAnswer: 20131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 2)*-6 + (-2 + sqrt(12) - (-5 + sqrt(3) + 2)))**2.\nAnswer: 770*sqrt(3) + 3796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -151.39257 and 28738131.\nAnswer: 28737979.60743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 4 = 4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 414\/73 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*5*272\/40. Calculate the highest common divisor of s and 306.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {a: 4, l: 3, d: 4, s: 4, m: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 19\/45*v**4 - 361\/45*v**3 - 8*v + 0 - 2\/225*v**5 + 3*v**2. Factor o(m).\nAnswer: -2*(2*m - 19)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 41. Suppose 19 + 8 = 3*q. Let d = b - q. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/25 (b) 5 (c) 46 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15815042 + -0.3.\nAnswer: 15815041.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5, 49, 115, 203, 313?\n\"Answer: 11*q**2 + 11*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4384 - -8310. List the prime factors of l.\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 5*n + 3*n - 2*n**2 + 0*n**2. Let a be q(-2). Suppose -10*p + 6*p + 4 = a. Sort p, -4, 3.\nAnswer: -4, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 69 - 15. Let i = 3 - 6. Let f(s) = 2*s**2 + 5*s + 2. What is the remainder when q is divided by f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 469607 and 2238.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 0*w**2 + 0*w**2)*(-3*w - 8*w + 3*w)*(-2*w**2 - 4 + 4) - 879*w**2 - 1300*w**5 + 879*w**2.\nAnswer: -1252*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9927 is divided by 94.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 7:53 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 218?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-3.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 4, -48\/2557, -0.98?\nAnswer: -48\/2557","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**3 - 42376 + 2*k**3 + 42376.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 128*y**3 - 4866*y + 4866*y.\nAnswer: -128*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:17 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 2 + 6 + (2 + 1 - 5)*(2 + 1 - 1) - 1 - 2 + 5 + 1 - 2 + 11 + 1 - 3 + 0)*(5*d + 4*d - 4*d) to the form o + c*d and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -152?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 11*z - 16. Let d be t(-3). What is the third biggest value in d, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164981*k - 30 = -164978*k + 3*g, 0 = k - 4*g - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -4*v**2 + 3*v + 5. Differentiate j(f) wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - k - 2 = 0, -4*g + 0*k - 3*k - 2 = 0. Calculate the remainder when g\/8 + (-233)\/(-4) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v. Let k(s) = -18*s + 42. Let t(l) = -9*l + 23. Let o(r) = 5*k(r) - 9*t(r). What is c(o(j))?\nAnswer: -18*j + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 6*v - 110. Suppose -5*i = 5*u - 35, -u - 4*u - 2*i + 23 = 0. Let f(j) = 3*j + 0*j + u*j - 1. Let y(p) = 17*p - 2. Give v*f(c) - 4*y(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/12)\/(2\/8). Suppose -3*v - 2*i = -1317, -s*v = -3*i + 13 - 904. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -873 - 406*v + 438 + 1584*v + 435.\nAnswer: 1178*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -8, -5*i - 91 = -4*p - 11. Suppose 5*k + x - p = 0, -3*k + 5*x = -9 - 34. Solve -13 - 11 = k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/40 + f**4\/8 - 18*f**2. Determine r so that q(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*b = -447*b + 517. Let j = -514 - b. Factor 0*n**2 + 3\/2*n**j + 0 - 3\/2*n.\nAnswer: 3*n*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**2. Let y(d) be the first derivative of -19*d**3\/3 - 141. Determine v(y(z)).\nAnswer: -3971*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:33 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55 - 58*q + 2*q**3 - 29*q**2 - 1131*q**2 - 1688*q + 55 wrt q?\nAnswer: 12*q - 2320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902844911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.216 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 16. Let t be (-1)\/3 + x\/(-3). Find the third derivative of -t*p**2 + p**4 + 2*p**4 + 14*p - 14*p wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppopfpnoffoooppoodd. What is prob of picking 1 o and 1 n?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -8*l**2 + 0 + 1\/24*l**4 + 0*l + 0*l**3. Let y(w) = -2*w**2 + 6. Determine y(r(s)).\nAnswer: -2*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -x**3\/3 + 11*x**2\/2 - 21*x + 861. Determine k(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/587 less than 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5037776 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/2226 and 211\/1050.\nAnswer: 55650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-443.8.\nAnswer: 17.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - -30. Let c = 708\/23 - 3494\/115. Which is smaller: a or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -135*x**5 - 1572*x**4 + 4352*x**3 - 1392*x**2 + 112*x = 0.\nAnswer: -14, 0, 2\/15, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*a - 199*a + 113*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4083007 and 6112?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (81\/48)\/9*2*(81 + -79)*4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 48 + b - 6*b + 0*b - 8*b + b. Give r(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(sqrt(448)*-1)\/(sqrt(484)*2).\nAnswer: 4*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 138461*z - 138458*z - s + 17, -5*z = -4*s + 47 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 12:36 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -44113467 + 2?\nAnswer: -44113465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 + -1033?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 12*x - 110.\nAnswer: 2*(x - 11)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**2 - 35*o + 220 = 0.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3745.262*2.\nAnswer: -7490.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141478.\nAnswer: 2, 127, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -2\/3*t**3 + 3*t**2 + 0*t + 0 + 1\/15*t**5 + 0*t**4. Let w(k) = -2*k**2 + 2. Determine 2*o(y) + 5*w(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4567.9, 1\/4, -0.96, -0.4?\nAnswer: -4567.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.185279ng?\nAnswer: 0.000001185279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4985 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10186721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7946 is divided by 481.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 29. Let x be 9\/(-4) + 2\/f. Let m(g) = g - 3. Let l(w) = -2*w + 4. What is x*l(t) - 3*m(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -6, -2.288?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29920c6 + 14?\nAnswer: -29920b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1764 and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.8. Let k = -1.3 + g. Which is the nearest to -0.2? (a) 1\/7 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s**5\/3 + 50146*s**4\/3 + 540496*s**3\/3 - 1050726*s**2 + 251160*s = 0.\nAnswer: -15, 0, 1\/4, 4, 6279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -100)\/(2 + 2 - 3). Suppose 0*k - 111 = 2*h + 5*k, -3*k + 235 = -4*h. Let l = q + h. List the prime factors of l.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1322 - 3317 - 3*c**4 - 3982 - 243*c**3 - 1421*c**3 wrt c.\nAnswer: -12*c**3 - 4992*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.122.\nAnswer: 0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31196\/15 + 2077. Let w = 37892\/21 + -1804. Find the common denominator of o and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36005 by 2.\nAnswer: 36005\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1314 and -8\/15395?\nAnswer: 20229030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yppp when four letters picked without replacement from pppppppppypp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0544 take away 150535008363?\nAnswer: -150535008362.9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**7\/140 + n**4\/24 - 5*n**3\/3 - 6. Let c(g) be the third derivative of b(g). Differentiate c(k) with respect to k.\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from aacammiajmmm.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**5 - 2*d**4 - 1778634*d**3 - 2*d**2 + 4*d - 112163 wrt d.\nAnswer: 60*d**2 - 48*d - 10671804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*g = -1 - 4, 0 = -3*m + 4*g + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/(10\/60) + 8. Factor -2 + 0*a**2 - 2*a + a**3 + c - 5*a**2 - 2*a**3.\nAnswer: -(a - 1)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1866, 1865, 1864, 1863?\n\"Answer: -c + 1867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.0146, 0.2, 2\/7, -7, -1 in descending order.\nAnswer: 0.5, 2\/7, 0.2, 0.0146, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 34 + 172*u - 33)*(-2 + 4 - 2*u**3 + 3).\nAnswer: -344*u**4 + 2*u**3 + 860*u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*q - 9, 19 - 10 = -q - 3*w for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u - 86. Let y be n(-22). Find k, given that -362*k**3 + 6912*k - 1464*k**y - 12*k**4 + 1387 - 230*k**3 - 5632*k**2 + 1113 - 1712*k = 0.\nAnswer: -25, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 + 103*a - 38. Let l be d(-21). Solve -35 = -2*q + 5*z, -2*z - 30 = -l*q - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 223161 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*n - o, 2*o - 6 + 2 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.57448 + -0.03252. What is b rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369667*n - 70397*n + 3 + 60380*n.\nAnswer: -379684*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 47*k + 143, -7 = -2*g - 745*k + 746*k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**5\/20 + 9*b**2\/2 - 28*b + 40. Let v(c) be the first derivative of x(c). Differentiate v(z) with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -34. Let g(p) = -9*p**3 + 7*p**2 - 7*p - 7. Let t(f) = 4*f**3 - 3*f**2 + 3*f + 3. Give j*t(z) - 3*g(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*v = 2049 - 2554. Let m(z) be the first derivative of 27\/2*z**2 + 0*z**4 + 0*z - 9\/5*z**v + 0*z**3 - 3. Find the second derivative of m(i) wrt i.\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 51072 + 51310 - 12*u. What is the remainder when f(12) is divided by 73?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045555 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2360704, -4721413, -7082124, -9442837, -11803552, -14164269?\n\"Answer: -g**2 - 2360706*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(175)*-1)**2 - sqrt(175)) + sqrt(847)*-1 + 4 + -2*sqrt(7) + (5 + sqrt(7) + sqrt(7) + -2)**2 + 3.\nAnswer: -6*sqrt(7) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 140863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) - (sqrt(128)*-2*6 - sqrt(128)))**2 + sqrt(128) - (2 + sqrt(128) + 0))*1.\nAnswer: 25086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14569? (a) 5 (b) -1 (c) -0.4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 - 8*j**2 + 3*j - 31. Let k be o(8). Let f(q) = -k + 761 + 768 - 2*q. Determine f(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274\/15 not equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/15 + (-197)\/(-140) and -125\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 3\/6*-6. Suppose 0 = -d*g + 3 + 7. Suppose -g*p + 3704 = -14296. What is p rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -7 (c) -45\/7 (d) 2 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22998985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9282972, 9282968, 9282964, 9282960, 9282956?\nAnswer: 9282952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 5*k + 9. What is t(6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -109029568 divided by -13628696?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.03 (b) 32 (c) 5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 330 - 325. Solve -y = 4*l + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/21)\/((-8)\/28). Find the first derivative of 3*n**3 + l - 4 + 4 + 2 wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 52 + 19 = 0. Is j smaller than 71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 - -2.05. Let b = 143.18 + w. Let d = b - 154.3. What is d rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 10, 22, 36, 52, 70?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*x - x + 1, -2*b = 4*x + 20. What is the thousands digit of 1*(x + -1 + 1693) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16475*a**6 + 3535*a**3 - 162217*a**2 - 32*a?\nAnswer: -1977000*a**3 + 21210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*p**3 + 717*p**3 - 265*p**3.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/3*(17940\/8)\/13?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29558185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.20517 millilitres in litres?\nAnswer: 0.04320517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 833984.9 from 155.\nAnswer: -833829.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.659283 kilometers in meters?\nAnswer: 1659.283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**5 - 3*d**5 - d**5 + (0*d**4 + 2*d**4 + 5*d**4)*(d - 2*d + 2*d))*(2 - 3 + 0).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/5)\/(18\/(-60)). Let c be (3*a)\/((-6)\/(-20)). Is (-16)\/c + (-73)\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 43776*v**3 - 8*v**2 + 23*v - 14. Is m(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {v: 3, o: 6, p: 2, e: 2, x: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 112\/6 + 14\/(-21). Let f = -8 + x. Calculate the greatest common divisor of 90 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 124 = -82 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 16 - -2) + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178, 140, 70, -38, -190, -392?\n\"Answer: -t**3 - 10*t**2 - t + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4437942?\nAnswer: 2, 3, 23, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t, 2*t - 16016 = -4*v. Find the third derivative of -v + 17*x**4 - 36*x**2 + 4*x**4 + 4004 wrt x.\nAnswer: 504*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/4 + (-3 - 20\/(-2)). Solve 0 = -3*j - b + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of x**5\/20 + x**4\/3 - x**3 + 3*x**2\/2 + 7*x. Calculate m(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 3*f = -3*z + 3, -4*f = 5*z - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-288)*-42)\/((-63)\/90)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2. Suppose -5*t - 7 = h, 0*h + 2*h - 14 = 4*t. Let b(f) = -2*f + 4*f + h*f - 3*f. Determine z(b(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 r when three letters picked without replacement from {f: 3, y: 7, r: 3, k: 6}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4532, -7685, -10826, -13949, -17048?\n\"Answer: k**3 - 3160*k - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*q + 454, -62*w + 63*w = -2*q + 156. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10))\/(-1)*3*4\/(-24)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + -4)*-5)**2.\nAnswer: -1000*sqrt(2) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 101\/(1 + 0). Let t = 0 + j. Suppose 4*h + h = t. What is the highest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(126)\/(sqrt(7)*5 + sqrt(7))*3.\nAnswer: -2 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 828 = 2*m + 12. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 99*t**2 + 31*t + 56. Is 20 a factor of y(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.7 + 4.9. Sort i, -5, -3 in descending order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let z be 4\/(-18) + 3070\/45. Let l be -4*((-10)\/z)\/5. Which is the smallest value? (a) 0.4 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 551354936?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*v + 2*v + 2*m, 3*v - 32 = -m. Suppose 3*a = -4*b + 102, -2*a - 6*b = -b - 68. What is the remainder when a is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 3. Let t(u) = u**3 - 2*u**2 - 4. Let w be t(x). Let d(o) = o**2 - 5*o + 3. Let k be d(w). Which is the closest to -0.1? (a) 0.3 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 9*v)*(0 - 4 + 2) + 8 - 9 - 6*v + 24*v.\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -1, 2, 3\/20, 1\/6.\nAnswer: -1, -2\/15, 3\/20, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y**2 + 8*y**2 - 8*y**2 + (4*y + 4*y - 6*y)*(0 + 2*y + 0) - 1 + 1 - 3*y**2 + (-y - y + 4*y)*(2*y + 0*y - 3*y) + 4*y**2 + 0*y**2 - 3*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25249*u**4 - 1088*u**2?\nAnswer: -605976*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d - 561. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.015? (a) -97 (b) -7 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 5*j**4\/6 - 1600*j**3 + 6140795*j**2\/6 - 217769600*j - 656384000\/3 = 0.\nAnswer: -1, 640, 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*g - 41 = 0, 3681*x + 6*g + 45 = 3686*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2\/3 - 117109*y\/3 + 585520\/3 = 0.\nAnswer: 5, 117104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5, -5*k - 2*z = -0*k - 277. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*35\/55*(-138)\/(-161)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -18. Suppose z = -n + 2 + 1, -r + 5*n + 4 = 0. What is the remainder when r is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - -2*1\/(-1). Put a, -5, -2, -0.4 in descending order.\nAnswer: a, -0.4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - 4*q**2 - 2*q**2 + (-4*q**2 + 2*q**2 + 3*q**2)*(4 - 4 + 1) - q**2 + 4*q**2 - 2*q**2 + 0*q**2 + 0*q**2 - q**2 - 3*q**2 - 2*q**2 + 76*q**2.\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let q = -1.0455 + 1.3455. What is the second smallest value in v, 1\/33, q, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*t**4 - 136*t**3 - 2*t**2 + 3342*t + 1 wrt t.\nAnswer: 84*t**2 - 816*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*d - 4*d**2 - 14*d - 17*d + 1)*(d + 2*d - 2*d + (3*d - 2*d - 3*d)*(0 - 5 + 3) + 5*d - 2*d - d) - 302*d + 302*d + 73*d**3.\nAnswer: 45*d**3 - 21*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 139321352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22887 is divided by 914?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26, 134, 318, 578?\n\"Answer: 38*z**2 - 6*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9222 is divided by 1840.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**4*t + 572*i**4 - 4*i**3*t**2 + 11*i**2*t**2 - 73*i**2 - 2*i*t**2 + 1 wrt i?\nAnswer: -48*i*t + 13728*i - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.7939 - 6.83. Let j = c - -0.036099449. Round j to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 694225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k + 6. Let b(y) = -7*y - 7. Calculate 3*b(q) + 4*g(q).\nAnswer: 11*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 2364?\nAnswer: 26004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 17. Suppose -a*m + 5*m = 0. Sort m, 2\/5, -0.5 in descending order.\nAnswer: 2\/5, m, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 174 - 22. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 4*d**2 - d - 1. What is the tens digit of b(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2091 + 2189. Solve 0 = 106*p - d*p + 24 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006731218614 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 8*f**2 - 9*f + 9. Let s be i(-9). Let x be s\/12 + (-10)\/(-8). Let a be 4\/(-2) + x + 5. Solve 3*k = -2*k - a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*i**3 - 132*i + 70*i + 64*i to c*i**3 + x + w*i + s*i**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 37*s + 0*s**2 - 4\/3*s**3 - 21. What is the derivative of r(w) wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + (sqrt(15) - (sqrt(135)*1)\/sqrt(9)) - (sqrt(735) - -3*sqrt(735)))\/(-3*sqrt(6655)\/sqrt(11)).\nAnswer: 9*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 146*k. Let j(m) be the first derivative of m**3\/3 + 69. What is i(j(s))?\nAnswer: 146*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3655.92 and -0.004.\nAnswer: 14.62368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43059*w + 129171*w + 0*w**3 - 43056*w - w**3 - 43056*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -5. Suppose 3*w - 46 = w. What is the remainder when w is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 503, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 0*z + 108*a - 125 = -0*z - z - 593, -z + 3*a = -9 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 1168.0274738?\nAnswer: 1163.0274738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47778998, -47778999, -47779000, -47779001?\n\"Answer: -z - 47778997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0 - 1\/126*v**4 - v - 2*v**2 - 1\/2205*v**7 + 0*v**5 + 1\/63*v**3 + 1\/630*v**6. Suppose y(b) = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 11*t**2 - 189*t + 1146. What is i(6)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14111106 - 1?\nAnswer: -14111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/51*2\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -372244 + -4547. Is l\/(-45) + -4 - (-2)\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*f - 3*f. Which is the nearest to 0.6? (a) 3\/2 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + s**4 + 0*s + (-18*s + 38*s - 17*s)*(-3*s**3 + 4*s**3 - 3*s**3).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -421*o - 1258. Let q be h(-3). Solve 2*i + 3*n - 2*n - 13 = 0, -q*i + n = -22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -156633884 less than or equal to -156633883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - -a?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 - 4*n**2 + 5. Let b(g) be the second derivative of g**5\/5 - g**4\/4 + 2*g**2 + 290*g. Give -4*b(k) + 3*y(k).\nAnswer: -k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 11*b**2 + 52*b - 469. Determine z(10).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + (-159)\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, h: 10, w: 3}. Give prob of sequence wwh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - 12) + (-1 + -2 - (-5 + 14))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -6*j + 15. Factor 0 + j + 4*a + 2*a**2 - 1 + 0*a.\nAnswer: 2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 390\/(-234)*(12\/(-54) - 122\/180). Let h = -12 + 5. Let j = h + 10. Which is bigger: j or l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/10 - (-7)\/(14\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 + 1148 = 2*b. Let j(z) = 10*z + 155. Let g be j(-15). Suppose -g*x + b = -4*s, 2*x = -2*s - s + 308. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 4*p + 56. Calculate the remainder when l(0) is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1770*j = -483*j - 18024 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 4)*((-2)\/(-2) - 0). Solve -2*x + 4*x - 8 = k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 405 - 23. Suppose -2016 = -803*i + 659*i. Calculate the remainder when 4\/(-14) - z\/(-14) is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 19 - 5)*(-2*m + 0*m - m) - 10*m - 2*m + 3*m in the form u + r*m and give r.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + i - 6 = 0. Calculate the remainder when (i\/(-5))\/((-4)\/(-140)) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16 (b) 0.4 (c) 4 (d) 28 (e) 2.47 (f) -14 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5656 and 411712966?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -10*l. Suppose -2*j - 17 = -5*g, 0*g + 8 = -2*j + 2*g. Let a = 0 - j. Suppose -q + a = 2. What is m(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143.36625 + 143.29. What is h rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -16. Let n(s) = s - 10. Let m be n(6). Let j be m\/g*(-3)\/2. Sort j, 0.5, -0.1 in decreasing order.\nAnswer: j, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(1*2\/8). Suppose 0*l + 6 = -2*l. Let n = 9 - l. What is the greatest common divisor of n and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267223656?\nAnswer: 2, 3, 7, 227231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6039*w**2 + 142*w - 6032*w**2 + 21*w**3 + 12071*w**2 - 20*w**3 - 142*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(1080\/54)\/(-360)\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 470*v - 74*v = 2772 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = q + 5. Let h be (1*q)\/((-18)\/54). What is the smallest common multiple of 9 and (h - (-51)\/(-12))*-24?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**3\/2 + 2*d**2 + 3*d. Let l(p) be the third derivative of p**4\/8 - 5*p**3\/6 - 72*p**2 - p. Give 7*g(f) + 6*l(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 1530?\nAnswer: 29070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzv when three letters picked without replacement from {x: 1, k: 1, u: 1, z: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77038806 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245283.\nAnswer: 3, 81761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 12*f**3 + 15*f**2 + 15*f. Suppose 9*o + 13 = 4*o + 4*s, 5*s = -2*o + 8. Let p(z) = -z**3 - z**2 - z. Give o*l(g) - 15*p(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2282*x. Let q(t) = 3*t**2. Give u(q(c)).\nAnswer: -6846*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/8*4*76. Let n = w + 261. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, -3594 in decreasing order.\nAnswer: 0, -6, -3594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**7\/15 + 2*x**4\/3 + 18*x**2. Find the second derivative of g(h) wrt h.\nAnswer: -168*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17983*p**6 + 87*p**4 - 4964922*p**2?\nAnswer: 2157960*p**3 + 2088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46944037 by -7.\nAnswer: 6706291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*q - 518 = -4*q, -391 = -3*p + q. Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 10*r - 12. Let m be u(-14). Let v be ((-2)\/(-3))\/((-2)\/(-33)). What is the greatest common divisor of v and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -9. Suppose -28*x + 17*x + 22 = 0. Suppose -5*b + 2*l = -635, 3*b = x*b + 3*l + 127. Calculate the remainder when b is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -g, 0*w - 2*g + 7 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27\/(((-244)\/366)\/((-4)\/(-6))).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-1)*(-16)\/32 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19824*h**4*r**2 + 591*h**4*r + h**2*r**2 + 12*h**2 + 5*h*r**2 - 141*r**2 - 21*r wrt h.\nAnswer: -475776*h*r**2 + 14184*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14258340 divided by -7129170.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-3))\/g)\/g)\/g)**(2\/17) assuming g is positive.\nAnswer: g**(2\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75278.09t to micrograms.\nAnswer: 75278090000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 372 and 155.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(2*i + 2 - 2)*(-1034 + 2508 - 1112) to the form t + l*i and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from douuduoddddudddu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38.6621? (a) 1\/2 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, 1\/3, 3, 2\/49, 1 in decreasing order.\nAnswer: 3, 1, 1\/3, 0.11, 2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 16\/3 - 10\/3*c**2 - 2*c = 0.\nAnswer: -8\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/128, -1\/119, -3, 0.4, 9?\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 6. Let x = -35 - -31. Let i be o(x). Suppose -5*u + 3*d + d = -398, i*d = -4. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2002156 is divided by 43?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 - 58.49640894073\nAnswer: -55.69640894073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-9)*(l\/l**0)\/l)\/((l**(-12)\/l)\/(l*l*((l*(l\/(l\/(l\/(l\/(l\/(l*l\/((l*(l*l*((l**(-8\/3)\/l)\/l)\/l)\/l*l)\/l)))))))\/l)\/l)\/l*l)) assuming l is positive.\nAnswer: l**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 58\/(-14) + (-7)\/(-49). Which is the closest to -2? (a) 4 (b) 1\/6 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (447*o + 419*o - 139*o)*(2*o - 5*o - 6 + 8).\nAnswer: -2181*o**2 + 1454*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1247 + -27457\/22. Find the common denominator of x and 25\/4192.\nAnswer: 46112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 15*i**2 + 50*i + 13. Calculate the remainder when v(15) is divided by 255.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, 36, 6, 3, -5 in ascending order.\nAnswer: -43, -5, 3, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*o = -4 - 38, 0 = -3*k + 2*o + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18279 + -8067. Is q a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + -3 + 3)**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -0.2 (c) -253\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4\/7 + 384*k**3\/7 + 2250*k**2\/7 + 3348*k\/7 = 0. Calculate k.\nAnswer: -186, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9692b0 (base 12) to base 16.\nAnswer: -245064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-287)\/140*-10*4*1\/(-2)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1283796?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 35. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -867835*x**2 + 457625 wrt x.\nAnswer: -1735670*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10742 - 10627. What is the remainder when w is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35.1119 * -1488.\nAnswer: -52246.5072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -331321?\nAnswer: -331323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + n - 4*m = -11, -4*n + 33*m - 95 - 47 = 7*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 + 15*j - 29. Determine r(9).\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 37*w. Let x(g) = -13*g + 9. Let t(s) be the third derivative of s**4\/8 - s**3\/3 + 69*s**2. Let k(p) = 18*t(p) + 4*x(p). Determine k(c(i)).\nAnswer: 74*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 5*n + 8 = 5*a, a = 3*n - 4. Let o(b) = -9*b - 6. Let y be o(-4). Find the third derivative of 84*q**2 - q + q + y*q**6 - 46*q**n wrt q.\nAnswer: 3600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-11) + (-227)\/2497)\/((-12)\/20)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000745 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i - 3*i**3 - 19*i + 3*i + 10*i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -81379?\nAnswer: 89516.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2780, 5566, 8352?\nAnswer: 11138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18743839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**6 + 193*b**4 + 48*b**2 - 2*b.\nAnswer: 360*b**3 + 4632*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(55 + 38) + ((-48)\/(-9))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-9))\/((-5)\/2175). Let k be u\/(-60) + 1\/6. Suppose 2 = -k*v + 7. Solve 3*w - 5 = v for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (7 + -5)) + -5 + -488 + 517.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28.8 - -28. Let m = -37.2 + y. Let w = 37.7 + m. Which is the closest to 0.1? (a) 2 (b) w (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a + 4. Let f be n(-15). Let h = f - 89. Let k(r) = -h - 4*r - r + 3*r + 6*r. Determine k(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1637, -12922, -43553, -103202, -201541, -348242, -552977?\n\"Answer: -1612*p**3 - p**2 + 2*p - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(343) - sqrt(343))*-2 - sqrt(343)) + sqrt(343) + sqrt(343) + sqrt(343)*2*1)**2.\nAnswer: 27783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - q + 50 = 0, -23*q + 20*q - 15 = 0. Let x(o) = 2*o**2 + 3*o - 6. Let r(d) = -6*d**2 - 9*d + 17. What is l*x(s) - 4*r(s)?\nAnswer: 2*s**2 + 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**2 - 1551924*d - 200705675148 = 0. Calculate d.\nAnswer: -258654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, r: 1, l: 4}. Give prob of picking 1 l and 1 z.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5486311099 - 5486311099 - 5*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-11)*(-1 - (-2)\/2) - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1799 to the nearest 10.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -59.74912 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(567) - (sqrt(567) + 1)**2 - sqrt(567) - sqrt(189)\/sqrt(3) - -3*(1*sqrt(7) + 0 + 2)**2).\nAnswer: -2675 - 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 14. Let j(u) = -x*u + 6*u + 0*u. Let c = 5 - 16. Let r(o) = -o. What is c*r(v) - 6*j(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeooooeooo. What is prob of sequence oeoe?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*v - 7*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/14 + 78\/21. Suppose p - 10 = -5*m, -p + 13 = 4*m + n. Suppose 0 = -o + m. Solve 0 = -2*c + i - o, 2*c + 2*i - 2 = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prb when three letters picked without replacement from {p: 3, u: 1, h: 1, b: 1, o: 2, r: 8}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1301647 and 164867.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q - 69. Let u be f(-9). Find the second derivative of -16*v**4 + 2 - 21*v**4 - 19*v**4 + 24*v + 61*v**4 + 3*v**u wrt v.\nAnswer: 60*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1767 - -1790) + (5 + -1 - -20).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 2436.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -864 (base 11) to base 6\nAnswer: -4450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47635 - -81074753\/1702. Calculate the common denominator of r and -42\/115.\nAnswer: 8510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5 + sqrt(7) + sqrt(42)\/(sqrt(6)*-2))*-2)**2 + (sqrt(1792) - sqrt(1792)*2)\/(sqrt(16)\/sqrt(4)*6).\nAnswer: 56*sqrt(7)\/3 + 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.119754km in millimeters?\nAnswer: 7119754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.1 (c) -2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15*j - 24 = 0. Suppose -16*s - j*s - 234 = 0. Let u(v) = -16*v - 64. What are the prime factors of u(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2511642 by -42.\nAnswer: -59801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o - 3*p - 12, 2*p = 4*o - 22. Let b(t) be the third derivative of -t**6\/120 + t**5\/15 - t**4\/24 - t**3\/6 + t**2 - 4. What is b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, h: 2, w: 5}. Give prob of picking 2 w.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 24707855*u\/2 - 610478098701025\/4.\nAnswer: -(u - 24707855)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -144*x - 898. What is the remainder when a(-11) is divided by 302?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*v - 5*q - 7, -5*v + 11 = q. Suppose -13 - v = -m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 0.1, -1626, -3\/19, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2914377577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 32*p - 144.\nAnswer: (p - 4)*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9367 (base 12) to base 2.\nAnswer: 110110100010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 4*u**2 - 2*u - 4. Let d be g(-5). Let v = -27 + d. Solve -2*m + m + v = 2*y, -m - 5*y + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 330 = -2*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 6*y + 3*y)*(-246247*y + 11 + 123120*y + 123122*y - 5*y**2) + (-2*y**2 + 0*y**2 + 0*y**2)*(4*y - y - 4*y) to b + w*y**2 + q*y + k*y**3 and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 56488*o**2 - 395612*o.\nAnswer: 4*o*(o - 7)*(o + 14129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**7\/210 + f**5\/12 - 5*f**2. Find the third derivative of v(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5464 rounded to the nearest 100?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 338\/79, -3 in increasing order.\nAnswer: -3, -1, 338\/79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-7) - (-4 + (-90)\/(-35)). Let m = -2.4 + 0.4. Let n = -2 - m. Which is smaller: z or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 2*r**3 + 4*r**3 - 7*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -130121234 (base 5) in base 11?\nAnswer: -3a0006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/11187 and 19\/160347?\nAnswer: 481041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334648934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1476 + 361 + 1974*n**5 + 478 - 2*n wrt n.\nAnswer: 39480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(-1)*(-39 + 13)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, j: 1, z: 1, h: 1}. Give prob of sequence ddrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 330157367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.66165 milligrams in grams?\nAnswer: 0.00066165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 6. Let g = -66\/91 + 3035\/546. Let f = g - 61\/12. What is the closest to 1 in o, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026344031.\nAnswer: 3, 9157, 37361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 628755 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 2*g + 0*g + 33 - g)*(-721*g**2 - 687*g**2 + 1545*g**2).\nAnswer: 137*g**3 + 6850*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -360*j**2 - 75*j - 75. Let q(l) = 19*l**2 + 4*l + 4. Let w(b) = -4*k(b) - 75*q(b). Let f(x) = -2*x**2 + 150587 - 150587. Determine f(w(y)).\nAnswer: -450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -11. Let b be (8\/16)\/((-1)\/(-50)). Let r = -24 + b. Solve s = -4*f - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(168)*4 + sqrt(168)))\/((sqrt(36)\/(sqrt(6)*-1) + (sqrt(24)*1 + sqrt(6) - sqrt(6)))*-1))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18\/5 - -4. Let d(w) = 23*w - 203. Let v be d(9). What is the third biggest value in g, v, 16?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - (-7 - 0))\/(1*-2). Suppose 20*s - 7*s + 104 = h. Let l = 8 - 16. Is s > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1265, -50566\/5 in descending order.\nAnswer: 1265, 0.1, -50566\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from qxqxqqqxqxqxqqqq.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -o + 121, 2*q - 4*q - 4*o - 62 = 0. Suppose -4*a + 9*a - 475 = 5*t, 3*t - 267 = -3*a. Let v = q + a. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20905064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/588 and 81\/2576.\nAnswer: 54096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4246916021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d**2 - 8*d - 283. Let r(f) = -2*f**2 - 3*f - 95. Let x(m) = 8*r(m) - 3*w(m). What is the derivative of x(i) wrt i?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 - 11*q + 34. Let n be r(5). Solve n*x = 25*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128.3 millimeters in nanometers?\nAnswer: 2128300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -31*c**8\/28 + 83*c**4\/12 + 95*c. Find the third derivative of q(n) wrt n.\nAnswer: -7440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r**3 + 5*r. Let f(k) = 52*k**3 - 12*k. What is -3*f(s) - 8*u(s)?\nAnswer: -20*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1757*o - 140301 = 521*o - 42347 for o.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 643*i**6 - 2*i**4 - i**3 - 2*i**2 + 15990.\nAnswer: 77160*i**3 - 48*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 3*x + 5*x)*(466999*x**2 + 6*x**3 - 5*x**3 + 11*x - 2 - 467000*x**2) as s*x**2 + a*x**4 + p*x + l + o*x**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)*m\/(m*m**4))**(-11\/7))**10 assuming m is positive.\nAnswer: m**(1320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 415, 412, 407, 400, 391, 380, 367?\n\"Answer: -a**2 + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j**3 - 6*j**5 + 4*j**5 - 31*j**3)*(0 + 0 + 2).\nAnswer: -4*j**5 - 120*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 35. Let n = 382 + -387. Sort n, 12, s, 5.\nAnswer: n, s, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 3:32 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17be41 (base 16) in base 11?\nAnswer: -973086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 558901894.\nAnswer: 2, 17, 16438291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7623541831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a day in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496575825 to the nearest integer?\nAnswer: 22284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/2)*(h*h**(2\/17))\/h)**(-23))**(-30) assuming h is positive.\nAnswer: h**(-4485\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by -14?\nAnswer: -45\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -67cce (base 16) to base 5\nAnswer: -102101131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exe when three letters picked without replacement from xee?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (10\/20)\/(18\/(-252)*-14*7)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/m**(-38)*m**43*(m**(-32)\/m)\/((m\/(m**(-32)*m))\/m*m) assuming m is positive.\nAnswer: m**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.004 (b) -14 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -35) + 0 + (1 - -11) + (13 - 26).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 2:04 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -45?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2559 is divided by 64?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 6*y**2 - 6*y. Suppose 3*o - 7 = 5. What are the prime factors of p(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -69. Suppose -x - 4*f = -20, 16 = 5*x + f - 8. Suppose z - 12 = 4*m - 4, 2*m = 3*z - x. Put z, c, -2 in descending order.\nAnswer: c, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -6 + (2 - (0 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17071679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 7 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/4, -7\/96, 1\/2?\nAnswer: -7\/96","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/29)*(o**(2\/11)*o)\/o)**(-15\/4)\/((o*o**(4\/3)*o*o*o*o\/(o\/(o**(6\/7)\/o)*o*o))\/((o\/(o\/o**(2\/7)))\/o*o\/(o*o**(-5)))) assuming o is positive.\nAnswer: o**(4502\/6699)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-660)\/(-44))\/(6\/2). Let g(m) be the second derivative of -1\/6*m**6 - 3\/4*m**v + 0 + 10\/3*m**3 + 0*m**4 - 19*m + 0*m**2. Factor g(b).\nAnswer: -5*b*(b - 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136\/(-153)*9\/3.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) 8 (b) -6\/7 (c) -3 (d) 1\/6 (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/63)\/(5\/35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 30 = 5*r, 5*r + g + 6 - 41 = 0. Does 8 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(20 - 1)*3. Let n(j) = 10*j + 153. Let v be n(-8). Let o = v + a. What is the least common multiple of o and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4 = 2*p - 3*z, -13 = 3*p + 4*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 38809, -5, -9\/5 in descending order.\nAnswer: 38809, -9\/5, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 499 + -778. Let b = 279.452 + f. Let a = b - 0.55. What is a rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573878 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -4) + 20 + 1. Suppose w*f - 5*f + 5415 = 0. Which is bigger: f or -286?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 21*i**4 + 8*i**3 - 8*i**2 - 8*i. Let f(c) = -10*c**4 - 4*c**3 + 4*c**2 + 4*c. Let g(r) = -13*f(r) - 6*k(r). Factor g(w).\nAnswer: 4*w*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22\/198 - 3814\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 366, -189, -1104, -2373, -3990, -5949?\n\"Answer: a**3 - 186*a**2 - 4*a + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-6*(sqrt(847) + (sqrt(847) - (0 + sqrt(847) + -1))))**2 - -2*(sqrt(7) - sqrt(21)\/sqrt(3))**2*1*-3).\nAnswer: 792*sqrt(7) + 30525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -53, -68, -81, -92?\n\"Answer: u**2 - 20*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2301468 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-20)*4*2\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -93942\nAnswer: -187884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 375 - 370. Factor 9\/5*w - 3\/5 + 9\/5*w**4 - 6\/5*w**2 - 6\/5*w**3 - 3\/5*w**k.\nAnswer: -3*(w - 1)**4*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/6)\/o*o**(-3)*o*o)\/(o\/o**(-1))**(-9))**(-1\/29) assuming o is positive.\nAnswer: o**(-97\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 11*a**2 + 13*a - 12. Let v be h(12). Suppose -x - 3*b + 27 = v, 4*b - 117 - 7 = -4*x. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5137*-648\nAnswer: 3328776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 42799808 + 42799808.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1\/15, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 14*h + 17. Let v be j(15). Suppose 0*p = v*p + 28. Is p equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v - 9 = -2*t, 4*v = 5*t - 34. What is the least common multiple of t and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1370 = -1384, 0 = 4*d + 5*m + 7. Let k(x) = 6*x**3 + 3*x**2 + 1. Let p(s) = 13*s**3 + 7*s**2 + 3. What is d*k(z) - 3*p(z)?\nAnswer: 3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 16. Let c be (-1)\/2*(-20)\/f. What is the third smallest value in -1\/4, -1, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d + 2, 0 = 2*a + 5*d + 25. What is the common denominator of 102\/540 + (-2)\/a + -3 and 8\/((-56)\/35)*-7?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/44 + 126380107\/(-231)*3. What is y rounded to the nearest 10000?\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -438.039 plus 1.52?\nAnswer: -436.519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.3972597.\nAnswer: 0.19862985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**3 + p**2 + 3*p + 1. Let t be d(3). Suppose -x + t = x. Let z be 640\/(-4 - -9) - 3\/1. Calculate the greatest common divisor of z and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t + 8*t - 12*t**2 + 3*t**3 + 0*t**3 + 0*t.\nAnswer: 3*t*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 5*x + 7. What is the remainder when j(-6) is divided by (50\/(-8) - -2)*-4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.56267 meters in micrometers?\nAnswer: 54562670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*(g*g\/g**(1\/2)*g)\/g)**(-3\/2)\/(((g*g**(-9)*g)\/g)\/g*g\/(g*g**3)) assuming g is positive.\nAnswer: g**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -4 - (-15 + 8). Suppose -x = d + 6. What is the units digit of (-86)\/x + 2\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*f = -171422, -5*f + 342883 = 10*d - 6*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22559043 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**7\/5040 + x**6\/16 - 135*x**5\/16 + x**4\/12 + 2*x**3 - 65*x. Let r(u) be the third derivative of n(u). Factor r(g).\nAnswer: -(g - 45)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 13 - (6 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23278, -46525, -69790, -93073, -116374?\n\"Answer: -9*f**2 - 23220*f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(117))\/(sqrt(729) - (sqrt(729) + -2*sqrt(729) - sqrt(729))).\nAnswer: 5*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3681\/7 - -526. Factor 1\/7*f + 0*f**2 + 0 - k*f**3.\nAnswer: -f*(f - 1)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 5. Solve -y + 0*x - 7 = -q*x, 13 = y + 2*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2221525.\nAnswer: 1\/2221525","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/6*(-4 + -5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 172*s**4\/5 + 6892*s**3\/5 + 96*s**2.\nAnswer: 4*s**2*(s + 40)*(43*s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.1? (a) -12 (b) -237\/2894 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-572 + 203 + 276)*(-3*w + 4*w - 3*w) as b + i*w and give i.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {q: 3, u: 1, m: 1, c: 1, e: 5, b: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*u - 5*f + 15 = -422*u, 5*u + 5*f = 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*j**5 - 58*j**4 - 818*j**3 + 22*j**2 + 8*j - 4159 wrt j.\nAnswer: -1080*j**2 - 1392*j - 4908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1346*s**4 - 10*s**2 - 10*s wrt s.\nAnswer: 32304*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/179 and 29\/5.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 27*l**2 + 21*l - 71. What are the prime factors of m(4)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-1)\/q))**(3\/10)\/(q**(-2\/3))**18)\/(q*q\/q**2*q*q*q*(q\/(q*q**(-1\/6)\/q))\/q*q*(q\/q**(-1))\/((((q**(-3)*q)\/q)\/q)\/q*q)) assuming q is positive.\nAnswer: q**(41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 16*u + 4. Let g be a(4). Suppose 2*p = -2*p + g. Suppose -y + p = 2. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 5*g**2 - 2*g - 6. Let r be h(-5). Which is the third smallest value? (a) 1\/8 (b) 5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -718*w + 716*w + 1 - 2. Let z(o) = -3*o - 1. Determine -5*b(f) + 3*z(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**3 + 33*u - 30*u - 3*u**4 - 6*u**3 + 0*u**3 + 17*u to the form g*u**4 + k*u**3 + r + i*u + z*u**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**2 - 2682*l + 3860.\nAnswer: -2*(l + 193)*(7*l - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(153)*-2)\/sqrt(9) - sqrt(17)) + (1 + sqrt(612) + sqrt(17))**2 + 2 + 0 + sqrt(833)).\nAnswer: 54*sqrt(17) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b5d12c (base 16) to base 11\nAnswer: 67a9381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.35 - -17. Let h = -0.6 + j. Let r = h - -1.95. Which is the closest to r? (a) 4 (b) -0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*v)*(-5 + 16 + 10)*(-28*v - 19*v + 31*v).\nAnswer: 2016*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 6030 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*(-2254)\/161?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5572 divided by 2?\nAnswer: 2786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -49. Let k be 1 - 12\/45*z. Determine d, given that 0 - 6\/5*d**3 + 0*d - 12\/5*d**5 - 3\/5*d**2 + k*d**4 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/6 - -2)*(-8 + 32 - 9). Let f = 63 + -290. Let x = a - f. What are the prime factors of x?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a hour?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -410.31585 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-612)\/(-1248)*8\/6. Let u = 2\/13 - t. Let j = 3208\/15141 - 34\/147. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-312)\/(-16)*(-2)\/3. Let k = s + 12. Is 0\/k - (-728 - -5 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 119*o - 1617\/2.\nAnswer: -(o + 7)*(o + 231)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15*2\/(-4)*12\/(-15). Let o(b) = b**2 - 3*b + 2. Let c be o(3). Solve -c*j - 13 = -3*u, -5*u + 23 = 2*j - g*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from {a: 8, t: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7267, -14108, -20953, -27802, -34655, -41512, -48373?\n\"Answer: -2*o**2 - 6835*o - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.37793 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 54789924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -5\/2, 2\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.36416 - -0.03?\nAnswer: 175.39416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 227, 539, 975, 1535, 2219?\n\"Answer: 62*b**2 + 2*b - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*f + 1891 = 127*f - 1677 + 5608 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4261)\/1*(6\/(-27) - (-14)\/(-18)) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/20)\/(2713\/(-385) + 7) + (-222)\/37\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4068280, 3, 2, 5 in descending order.\nAnswer: 5, 3, 2, -4068280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (-8 - (-8 + -2))) + -5 - -6\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*i + 5 - 110 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s - 37. Let u be g(-15). Let d = -5 - u. Solve q - d = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1164997*h - 12. Let x be c(4). Round x to the nearest one hundred thousand.\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5*x - 3, -5*k = -3*x - 344. Calculate the remainder when k is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from wgmgwmwwmmmmggmgm?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = -33*w + 9224. Calculate the highest common divisor of 105 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 8*i**2 - 6*i + 2. Let k be m(3). Let o(s) be the first derivative of 3\/4*s**4 + 3*s**k - 3*s**3 - 4 + 0*s. Factor o(q).\nAnswer: 3*q*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5, 26, 85, 200, 389, 670, 1061?\n\"Answer: 3*i**3 + i**2 - 3*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + -3 + sqrt(19)*2 + sqrt(19))**2.\nAnswer: -1035 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**4\/32 + 9*t**3\/8 - 195. Let b(j) = 0. What is j?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from {v: 4, d: 1, t: 2, f: 5, b: 5, h: 3}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -46b (base 12) to base 4\nAnswer: -22103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1107 and 7.\nAnswer: 7749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i**2 - 1. Let v(x) = 14678*x. What is v(f(a))?\nAnswer: 176136*a**2 - 14678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 6567260 to the nearest one hundred thousand.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - -4 - (0 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -508 - -4?\nAnswer: -504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -277? (a) 0.2 (b) 3\/8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -10 + 12 - (-6 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/808 and -45\/16052.\nAnswer: 3242504","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 6966948.80999851 + -6966951.9. Let t = p + 3.09. What is t rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5969*n**2 - 2968*n**2 - 1779*n**2.\nAnswer: 1222*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1005 and 4272?\nAnswer: 1431120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mex when three letters picked without replacement from {m: 1, v: 1, x: 1, s: 1, j: 1, e: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpxxxxpcxpxpxpxxxkc. What is prob of picking 1 x and 1 c?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70688*k - 70776*k + 141473*k + k**2 + 0 + 0.\nAnswer: k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 8*s = -148, 75*n = 70*n + 5*s - 90 - 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 442371.2um in meters?\nAnswer: 0.4423712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -46, -3\/2, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.3 - -10. Let h = 68.8 + -69.497. Let d = i + h. Round d to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 17*i + 11. Let a be d(-11). Let k = -49 - a. Suppose 3 = -h + b, h + 15 = k*h + b. Solve -3*w + h = 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*r + 68, -84 = -4*u - 0*r - 5*r. Let j(s) = -9*s + u - 16 + s - 3. Determine j(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*n - 2*a - 704, 4*a - 849 = -5*n. Let y = n - 104. Suppose -2*u = -y - 19. What is the highest common divisor of u and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -53, 3\/5, 1, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1021*t + 5 = 1026*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - i = -1, -3*i + 1 + 2 = 0. Solve -a + t*a - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -369560 > -1\/372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -37, 2, 7, -5 in ascending order.\nAnswer: -37, -5, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**4\/4 + 2*v**3 + 2*v**2 - 1. Suppose -10 = 3*b - b. Determine n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63211669, 63211667, 63211665?\n\"Answer: -2*h + 63211671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-75) + (-166)\/(-10). Suppose r = -c + 38. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 2, i: 5, b: 2, s: 1}. What is prob of picking 1 b and 1 i?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1405 - 1403. Suppose 10 = -2*i - 4*z, i + 2*z - z + 3 = 0. Which is the nearest to i? (a) 1\/8 (b) 2\/17 (c) 3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-66)*(12\/10)\/3\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 336\/(-174) - (-72)\/36?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**26*k)\/(k*k**(1\/8)))\/(k**(2\/27))**(-48) assuming k is positive.\nAnswer: k**(2119\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**4 + 57*r**3 + 183*r**2 - 339*r - 492. Let k(i) = -i**4 + i**3 + 2*i - 1. Let c(p) = -j(p) + 6*k(p). Factor c(q).\nAnswer: -3*(q - 2)*(q + 1)*(q + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-1) - 2)*174\/145. Let f(y) = -57*y + 52. What is the hundreds digit of f(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 491 + -437.4. Let k = u + -52.6. Which is smaller: -193 or k?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(300)*-2 - (-2*sqrt(300)*-1 + sqrt(300) - sqrt(300)))*-3*2*-4)**2.\nAnswer: 2764800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*z + 33 - 93 - 88 = 0. Which is the nearest to 74? (a) z (b) 4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2 + 476*i**2 - 475*i**2 - 4 - 17*i. Give y(13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 12, 0*j = 5*z + 2*j + 23. Let s be 3*2*z\/18. What is the remainder when s\/((-60)\/58 - -1) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l + 20. Let y be p(0). Suppose 0 = 3*w + w - y. Suppose 2 = w*t - 4*t. Solve t = -x + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 7*c - 3. Give u(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(-91)\/182. Which is the second biggest value? (a) v (b) -0.4 (c) -0.78\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c + 12. Let o(f) = -f + 1. Let a(j) = -g(j) + 5*o(j). Let l = -5 + -1. Let k(z) = 3*z - 6. Give l*k(b) + 5*a(b).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121481.76053 + -121481. Round j to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 2, z: 7, n: 7}. Give prob of sequence nnz.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/15*6*-1. Let x(p) = 2*p**3 + 5*p - 4. Let m(g) = -58*g + 2*g**2 - 2*g**2 + 5*g**3 + 307*g - 238*g - 9. What is z*m(o) - 9*x(o)?\nAnswer: 2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176 - -193. Suppose -5*d + 6*i - 2*i - g = 0, 0 = -2*d - 4*i + 10. Sort d, 11, -3 in decreasing order.\nAnswer: 11, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 556*h*q**3 - 336*q**3 wrt h?\nAnswer: 556*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368280*-1.1.\nAnswer: 405108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 56 = -4*y, -492 = -5*y + q - 562 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - z - 1. Let x(u) = -3*u**2 - 3*u - 3. What is -9*m(y) + 3*x(y)?\nAnswer: -27*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*t, -b + 28*t - 36 - 1 = 33*t + 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -274*k**5 - 50*k**4 + 594166*k - 2?\nAnswer: -5480*k**3 - 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {o: 3, g: 6, a: 3, c: 5}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Let v(o) = o**2 - 2*o - 1. Let p be v(-1). Suppose p*t - t - 2 = q. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -3, -5, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 834 - 11814*n - 8396*n - 417 - 417.\nAnswer: -20210*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**3\/2 - 5*s**2\/2 + 5*s. Let m be b(-7). Let -o**3 - o + 16 - 2*o**2 + 0*o - m = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7271240 is divided by 6290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven quarters of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910.2171nm to micrometers.\nAnswer: 0.9102171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 265, 267, 261, 241, 201, 135?\n\"Answer: -d**3 + 2*d**2 + 3*d + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1624?\nAnswer: 17864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9633 + 82625. What is the ten thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -1901 - 1474. Suppose -c*y = -366*y - 11025. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(2 + (-8)\/2). Let b = 6 + -6. Solve b*j = -q*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-6)*(-22)\/50. Let h = 3\/5 + t. Suppose -2*o + 20 = o + 2*u, u - 16 = -3*o. Are h and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*z - 5. Suppose -3*x = -z*x. Suppose x = 3*i - 307 + 67. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 18\/(-99) - 48\/(-22). Suppose k - m*l = 114, -k - 2*l = -87 - 15. Find the common denominator of -127\/18 and (201\/k)\/((-2)\/6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529279?\nAnswer: 29, 18251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24761063 or -5?\nAnswer: -24761063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 9*d**3 - 5*d + 6. Let l(i) = -2*i + 7. Let x be l(6). Let r(h) = h**3 - h + 1. Give x*r(y) + t(y).\nAnswer: 4*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6505*h + 3284.\nAnswer: 6505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 8 + -261)\/(((-12)\/44)\/3) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147684890 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -48, -3\/2, 2\/3, 3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 75689020 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1304140 (base 5) to base 11\nAnswer: -18213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29792419.\nAnswer: 181, 164599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -11311433220?\nAnswer: -11311433144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*y + 290 = 217*y - 5*v, 4*v + 472 = 9*y. Suppose -f - 6 = -s + f, 0 = -3*s - 3*f + 45. Calculate the highest common divisor of y and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/23211330 and 43\/2255?\nAnswer: 255324630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462*g + 1339*g - 451*g.\nAnswer: 1350*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/180*4*(-30)\/4. What is the second biggest value in 2\/37, -2, 4, c?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4313 rounded to the nearest 100?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -586\/5 + 1177\/10. Factor -3\/2*q - b - 3\/2*q**2 - 1\/2*q**3.\nAnswer: -(q + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07347 + -0.03221. Round s to 3 dps.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.79*0.5\nAnswer: -0.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.04 - 9.64. What is x rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*10)\/(2\/4). Suppose -4*s = -3*x + 35, 3*x = 5*s - 8 + 48. Suppose -6*o + 3*o + x = -5*z, 0 = -4*o + r. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -67521*x**4 + 49*x**3 + 10489710 wrt x?\nAnswer: -270084*x**3 + 147*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-4 - -11) + -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -754*o + 2676 = 736*o - 451*o - 9792. Let b(s) = s**3 - 2*s - 1. Let h be b(2). Let i = -11 - -15. Sort 2, h, o, i in increasing order.\nAnswer: 2, h, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 122?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -120705697.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 1\/30*a**6 - 1\/6*a**4 - 2\/3*a**3 + 1\/1344*a**8 + 1\/30*a**5 - 12*a + 3*a**2 + 1\/120*a**7 + 0. Factor d(h).\nAnswer: (h - 1)*(h + 2)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572304553?\nAnswer: 67, 839, 10181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 PM and 2:35 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 145 and 8033?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 9*r - 13 = 4*s, 2*r = 2*s + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 + -2c6a0?\nAnswer: -2c6c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001338 rounded to seven dps?\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/5 + 2758*k**3 + 31615488*k**2\/5 + 23919722496*k\/5 - 415840075776\/5.\nAnswer: 2*(k - 17)*(k + 2304)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*t + 7, -5 = 33*d - 34*d. Suppose 0 = -4*g + 4*n + 3322 - 138, -t*n = -5*g + 3984. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 12:12 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*k - 2*k - 895. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-3) + 628\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37401 + 0.02599. What is the nearest to 1 in -0.06, 20, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37223 greater than or equal to -1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 5)*(-6*g + 3*g + 2*g) - g + 2*g - 32 + 4*g - 7*g.\nAnswer: 5*g - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 2*o**4 - 2*o**4 + 3*o**3 - 1062*o**4 + 155*o**4 - 210*o**4 + (3*o - 5*o + o)*(-2 + o**3 + 2).\nAnswer: -1122*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 + 61. Let h = p + 22.4. Round h to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 25*s - 33*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.10983, -4, -916?\nAnswer: -916","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/48 and 91\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 61 = -c. Let r be (-4)\/(8\/(-18))*1. Suppose r + 5 = p. What is the remainder when c is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99033.8903 + -99026. What is b rounded to two decimal places?\nAnswer: 7.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13249\/6900 + 2\/575. Let n = 5501321\/7458 + -100692\/113. Let g = 1488\/11 + n. What is the common denominator of o and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*f + 9, -3*b + b + 6 = -3*f. Suppose t - 5*w - 82 - 45 = 0, -5*w + 281 = b*t. Calculate the remainder when t is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 169*c**3 - 5*c**2 - 10*c + 11. Let a(n) = -84*n**3 + 2*n**2 + 6*n - 7. Calculate 5*a(d) + 3*u(d).\nAnswer: 87*d**3 - 5*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r - 3. Let w(p) = -29*p + 6. Let m(s) = 9*n(s) + 4*w(s). Give m(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15253*h + 76944 = -13879*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/4411 + 8816\/13233. Which is the second smallest value? (a) 1\/5 (b) 4 (c) o (d) -2.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64383648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 152*z**3 + 596*z**2 + 560*z - 48.\nAnswer: 4*(z + 2)**2*(38*z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1 + 21*q**2 + 0 - 8*q - 20*q**2 - 4. List the prime factors of y(11).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 33763, 4, 1?\nAnswer: 33763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14347 is divided by 2864?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11011236?\nAnswer: 2, 3, 229, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 - 2*r + 5. Let w(b) = -b - 1. Let u(c) = -t(c) - 5*w(c). Find the second derivative of u(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -1. Let x(y) = y**3 + 8*y**2 - 29. What is -6*i(g) + x(g)?\nAnswer: g**3 + 8*g**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 332 + 1569?\nAnswer: 1901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -444*n + 2722*n**2 + 444*n - 157*n**2.\nAnswer: 2565*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268144 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/15)\/(h*h\/h**(-5\/4)) assuming h is positive.\nAnswer: h**(-179\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rdr when three letters picked without replacement from {d: 3, r: 4, i: 2, u: 1, l: 1, e: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 9. Let q be l(9). Suppose q = -3*r - 0*d + d - 4, 0 = r - 5*d + 6. Let x be 0 - (2 - (-79)\/r). Calculate the highest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.522 + 5.5239219. Round d to 5 dps.\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000198341525 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 750 + 42.\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -3 (c) 0.3 (d) -9.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**3))\/g)\/((((g**(-2\/11)\/g)\/g)\/g)\/g))\/(g\/(g\/(g*g\/(g*g*(g*(g\/(g*g\/(g\/(g\/(g\/g**(-5))))))\/g)\/g*g)))*g**(-1\/6)) assuming g is positive.\nAnswer: g**(749\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.309 rounded to one dp?\nAnswer: 66.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21206 or -21192?\nAnswer: -21206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9991*k - 168. Let x(c) = 37*c**2. What is j(x(d))?\nAnswer: -369667*d**2 - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + 2)\/(-3 - -2). Let p(j) be the second derivative of 1\/4*j**2 + 1\/3*j**3 + 0 + 1\/8*j**4 + c*j. Suppose p(s) = 0. What is s?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16)\/40 - (-764)\/10.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19770\/150 - (-5)\/25. Calculate the greatest common divisor of x and 564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2055 - -3144. Let i be 4\/(-6)*(v*-3 - -6). Suppose 4*r - i = 4318. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*w + 222 = -38 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3234 divided by -1617\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003139588 to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2120\/(-30))\/(-2 - (-33)\/18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101000001 (base 2) in base 6?\nAnswer: 54401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 12.9, 6861 in descending order.\nAnswer: 6861, 12.9, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 6. Suppose -1479 = -3*r - j*q, 2*r - 151 = -4*q + 831. Let x = r + -238. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 13*j**2 - 3*j - 8. Determine b(-3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-15) + -26*3\/60?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 12*h**2 - 15*h - 13. Is 2 a factor of w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 870 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5557, 5558, 5559?\n\"Answer: u + 5556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 296 + -293. Suppose -2 - 22 = -4*c + w*p, -4*p = 4*c - 52. What is the highest common factor of 15 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1058\/15 + 92\/15*w + 2\/15*w**2.\nAnswer: 2*(w + 23)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 0*f + 0*f)*(-4 + 3 + 3)*(-2*f + f + 0*f)*(4*f - f**2 - 13*f - 13*f).\nAnswer: 4*f**5 + 88*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16408061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66? (a) -4 (b) -973 (c) -6\/5 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + 182\/49. Let p be 5*1 - (-2 + f). Suppose p*n = n + 16. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = -2*p + 30. Put -253, p, 0, -4 in descending order.\nAnswer: p, 0, -4, -253","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 + -6.7. Let u = -11 - l. Let i = 1901\/7 + -272. What is the smallest value in i, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3\/4 (c) 0 (d) -0.2 (e) -135 (f) 4 (g) -56\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19565 and 117820?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gyrsnvvngggsvsg. Give prob of sequence srgg.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38330.454 and 3.\nAnswer: -38327.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-155 + -4 + -2). Suppose 6*k - j = 137. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 10368.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35487 and 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*i**2 - 20*i + 20*i.\nAnswer: 5*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(18)\/(sqrt(2)*1)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -17 - (7 - ((-4 - 12) + 16))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - 2) + 3410631\/94815.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292855684.\nAnswer: 2, 11, 47, 141613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694805.1 + 10.567?\nAnswer: -1694794.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/11 - 315\/693?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**3 - 192*l**2 - 79*l - 58. Let y be c(-38). Solve 0 = -34*f + y*f + 66 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -809\/72?\nAnswer: -809\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -44?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230.1833ng to tonnes.\nAnswer: 0.0000000000002301833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22\/7 + 65\/14. Which is the closest to -25? (a) m (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**3 - 4*p**3 - p**3)*(-p**2 - 331 + 194 + 327).\nAnswer: 2*p**5 - 380*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340 - 422100?\nAnswer: -422440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:56 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 + 9*g - 19. Let n be h(2). Let k(p) = p**3 - 26*p**2 - 22*p - 34. What are the prime factors of k(n)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/48)\/((-26)\/117)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0 - 1\/6*z**4 + z**3 + 0*z + 1\/60*z**5 + 7*z**2. Calculate o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(2\/5)))**(-30) assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 460. Suppose 5*y - 10*y = -l. Let g = 4 + y. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 8*g - 31. Let c be (-1 + 0 + 0)*(g + -3). Suppose -367 = -c*q + 468. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(36) + 0 + 2.\nAnswer: sqrt(2)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1620 at least as big as -1621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1086 and -6743.8345804.\nAnswer: -5657.8345804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 154849221 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/132264 and 65\/44.\nAnswer: 132264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 2*c - 42, -1 + 10 = 2*a + 5*c. Suppose -6*v + 4*v + a = 0. Calculate the highest common divisor of 24 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/236 and -55\/784.\nAnswer: 46256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 14019957?\nAnswer: -4\/14019957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pht when three letters picked without replacement from {t: 1, p: 1, h: 4, f: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3762 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - y = 2, 4*z + 59 - 22 = -5*y. Sort z, -44, 5 in increasing order.\nAnswer: -44, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52512483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*y - 56 = -247, 2*y - 199 = -5*l. Let b = -31 + l. Suppose 4*w = -t - b, 21 - 1 = 5*t + 5*w. What is the least common multiple of 10 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5664 and 176646?\nAnswer: 2826336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 100*o - 35. Is p(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqvzd. What is prob of picking 1 q, 1 w, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -202443.5983 to the nearest 10.\nAnswer: -202440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 926533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1930111 - -6598670. Let u = 988559 - m. Round u to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4 - 78*r**3 - 612*r**2 - 840*r + 4800 = 0 for r.\nAnswer: -10, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2032 + 2029. Let q(z) = 2*z**2 + 4*z**2 - 3 + 3*z - 6. Let v(c) = -11*c**2 - 6*c + 17. Let p(d) = i*v(d) - 5*q(d). Factor p(h).\nAnswer: 3*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16845 + 16845. Which is bigger: -1\/1612 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119820313.\nAnswer: 119820313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28428.068692 + -28428. Round k to four dps.\nAnswer: 0.0687","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6869 - 128*d - 13739 + 6870.\nAnswer: -128*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 2. Let u be s(-4). Suppose -6 = u*o - 4*o. Let b be (1\/(-2))\/(o\/6). Solve h - b = -0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 101*f**2*y**3 + 85*f**2 - 5*f*y**6 - f*y**2 + 2*f + 4*y wrt y.\nAnswer: 606*f**2 - 600*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t + 4*z + 32, -z - 1 = 4*t. Solve 10*f - 3 = 13*f - 4*y, t*y - 12 = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 259 = 4*b - 0*b, -4*b + x + 241 = 0. What is the remainder when b is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/604380 and -95\/1329636.\nAnswer: 6648180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*v - 7804 = 2236 + 2659 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.639 or 2\/9?\nAnswer: -7.639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:09 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyydvdyyv. Give prob of sequence yvd.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1873357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 5*q**2\/2 + 7*q - 1137. Calculate i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-3)\/(-6))\/((-10)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5+51.1\nAnswer: 56.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand l + l**5 - l + (0*l**4 + 3*l**4 - l**4)*(-l + 0 + 0) - l + l - l**5 + 28*l**3 + 40413*l**5 - 40418*l**5 - 26*l**3 - 44.\nAnswer: -7*l**5 + 2*l**3 - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 1 + (-10952283)\/(-5476149). Let x = p - -50097714\/398541955. Let t = 1\/131 + x. Which is the nearest to -2? (a) t (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.75400069 + 25.75400029. Let s = -25 + a. Round s to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h + 10*h + 6*h - 93*h - 44*h to the form k + y*h and give y.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5885 - 5073. Solve -h - t = -808 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 247, 23, 2 in increasing order.\nAnswer: -6, 2, 23, 247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/14 (b) -0.2 (c) -0.5 (d) 2 (e) -0.025 (f) -0.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 1. Let t(v) = 6*v - 1. Let i(k) = 5*s(k) + 2*t(k). Let p(z) = 3*z - 4. Give -5*i(x) - 4*p(x).\nAnswer: 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -27*z**2 + 20*z + 2. Let d(l) = -2*l**2. Give r(d(w)).\nAnswer: -108*w**4 - 40*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 - 12*g - 7. Suppose -4*w - 180 = a + 35, -2*a - 45 = w. Let o = 50 + w. Let q be n(o). Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2137 and -72.\nAnswer: -153864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6780 and 3300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 8571024.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 150\/25*7\/(-6)*-4. Let q be -5*(v\/(-49))\/(10\/(-14)). Put q, 5, -2, 0 in decreasing order.\nAnswer: 5, 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 7*d**2 + 7. Let o be q(-7). Let m(p) = 0 - 4 + 3*p - 7 + 2 + 5. Let l be m(o). Solve -5*n = -t + 4 + 4, 5*t - l = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.3266kg in grams?\nAnswer: 82326.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 100 - 27. Let w = -2785 + 2857.6. Let n = p - w. What is the closest to 1 in 5, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 485646 by -3.\nAnswer: -161882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63959, 64004, 64053, 64106, 64163, 64224?\n\"Answer: 2*r**2 + 39*r + 63918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-5)\/4))\/(((-3180)\/150)\/53).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 63*x**2 + 4*x - 3. List the prime factors of u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12\/(-20)*(-1 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*u + 24 = 0, 0 = -106*g + 102*g + u + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + h**2 - 6 + 2*h + 2*h**2 + 3 to the form r + u*h**2 + a*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 + 10.8. Let p = 64.5 - 54. Let q = p - k. Put 4, q, 0.5 in decreasing order.\nAnswer: 4, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6 - 3, 0 = 5*u - 3*b + 1759. Let t be u\/(-42) + (-2)\/(-3). Suppose -6*z = -t*z + 129. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1004351 (base 6) to base 8\nAnswer: 135053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 12, a: 3}?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d**3 + 4*d. Let y(z) = -5*z**3 - 2*z**2 + 3*z - 2. Let x(h) = h**2 + 1. Let o(g) = 2*x(g) + y(g). Give -4*o(w) + 3*u(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2700*m - 13498. Give j(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = f - 19. Suppose 0*d = 5*d - 185. Calculate the remainder when d is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -34*o**3 - 2*o - 1. Let q be v(-1). Let z = q - 70. Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -591.74 - -592. Sort 5, -5, s in decreasing order.\nAnswer: 5, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 393 + -271. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 10:09 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 72. Which is the nearest to 1? (a) -2 (b) q (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + k - 6 = 0, 0*i - 5*i = 2*k + 16. Let n(v) = 11 - 30 - 5*v + 2 + 3. What is the remainder when n(i) is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 378273*a**5 - 111389*a wrt a.\nAnswer: 7565460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13645 - 13645 - 28*o + 3*o.\nAnswer: -25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/117*195\/(-260).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17683456 rounded to four dps?\nAnswer: 0.1768","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 922*r**2 - 915*r**2 + 2*r + 3*r.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.163071295612 - 12.5.\nAnswer: -12.336928704388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/7))**(-6) assuming x is positive.\nAnswer: x**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2151*k**3 + 13*k**2 - 15*k + 6. Let o = -12 - -13. Let t = o - -13. Let r be y(t). What is r rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1143501116 to the nearest integer?\nAnswer: 33816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.724 + -0.624. Let l = 1991\/6 - 331. Which is the nearest to 2? (a) l (b) 2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*v - 14157, 2*v + 3800 = 3*g + 10891. Let i = v + -77861\/22. Let l = 2228 - 24478\/11. What is the common denominator of i and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8986084 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -365988 to the nearest one thousand.\nAnswer: -366000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 82. What is the common denominator of a and -49\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/67, 3\/2, 2, 5\/306, 2\/9?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/5, 0.5, 3, 12\/5 in descending order.\nAnswer: 3, 12\/5, 0.5, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104738085*y**4 - 115573512*y.\nAnswer: 1256857020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - p. Suppose -4*f = -w - 6, 5 - 4 = 5*f + 2*w. Let d be h(f). Suppose 2*k = d*k - 9. What is the remainder when 11 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 6. Let q be w(-4). Suppose -12 = -q*d - 2. Suppose -d + 3 = -m. What is the least common multiple of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -1\/5, -0.5, -2\/7 in descending order.\nAnswer: 36, -1\/5, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**2 + 12*z + 4. Let k(g) = -2*g**2 + 8*g + 3. Let t(b) = 7*k(b) - 5*o(b). Let u = 11 + -8. Let l be t(u). Put l, 2, -1 in decreasing order.\nAnswer: 2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k + 32. Is 2 a factor of k\/(-12) - (-8)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 5*j + 24. Let i be m(-8). Solve i = -3*b - 10 + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6414.254 to zero decimal places.\nAnswer: -6414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -34) + 2027 + -2015?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5 - 1. Suppose -p = -z*r + 5, 7 = 4*p - 5*r - 6. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/5749076 and -63\/3418.\nAnswer: 5749076","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/18 and 43*(-21)\/(-48762)*166\/(-12).\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -7. Suppose 6*b = z*b - 16. What is the third smallest value in 0.5, 1\/10, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v**2 + 21080*v + 236236 = 0.\nAnswer: -11, 5369\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -5522*o**2 + 5508*o**2 + 2*o**3 - o**3 = 0. Calculate o.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 10*p - 3297. What are the prime factors of p?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3359313 and 486?\nAnswer: 20155878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 203*c**2 - 2*c + 2*c - 201*c**2 as g + j*c**2 + p*c and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.39 and -2.461909.\nAnswer: -2.851909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-87)\/(-12) - (-152)\/(-19). What is the second smallest value in 2, 10, v, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4134221.\nAnswer: 7, 13, 181, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -38*p - 8. What is the tens digit of l(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30876)\/(-5976) - ((-9)\/(-1) + -2)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-1650)*-15)\/(32\/4960)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -60*w - 74. Suppose -12*q - 38 = -26. Let o(t) = 1. Let p(l) = q*b(l) - o(l). Find the first derivative of p(f) wrt f.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10112201111211 (base 3) to base 11\nAnswer: -1077617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven halves of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b + 4. Let d(j) = -2 + 7*j + 5 - 11*j. Let a = 87 - 90. Give a*d(x) + 2*u(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 6. Let x be m(0). Suppose x*j = 8*j - 1642. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2.1792 (b) -9 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1179398?\nAnswer: 2, 11, 53609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 36 = 96. Factor 0*g + 0 - 1\/2*g**2 + g**j.\nAnswer: g**2*(2*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x**3 + 300*x**2 + x - 56. Give s(60).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k + 5. Let s be (-105)\/(-450)*-15*-3*(-8)\/14. Suppose 3*d + 2*w = 8*d, -3*d - 9 = -3*w. Let h(t) = 0 + 4 + d*t + 2. Give s*o(q) + 5*h(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {l: 2, u: 1, r: 1, v: 1, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 1966 + 607 + 666 = 0 for k.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 319, 0.1.\nAnswer: -3, 0.1, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 4. Suppose -k*n + 2 = -18. Suppose -5*z + 0*p + 3*p + 37 = 0, n*z - p = 24. Solve -4*b + 4 = -l + 1, -2*l + 20 = z*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 450600 - -46?\nAnswer: 450646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4038 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27589501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*s**3 + 26*s**3 + 6*s**3)*((s + s - 4*s + (4 + 0 - 2)*(48*s + 11*s + 16*s))*(-5 + 1 + 5) + 3*s + 3*s - 4*s).\nAnswer: 7800*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/40 - 2\/4. Which is the closest to -0.1? (a) -0.2 (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 141\/(-135) + ((-32)\/(-20) - 1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 336808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -320352861, -320352860, -320352859, -320352858?\n\"Answer: h - 320352862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12327041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9088222289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38445 is divided by 1062?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 2\/5, -0.4, 2\/45, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -57, 0.1, 19, 0.01, -2\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 + 4*r**3 - 2*r**3)*(-1 - 5 + 1) + (r**2 - 2*r**2 + 0*r**2)*(0*r - 2*r + 3*r) + 0*r**3 - 2*r**3 + r**3.\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6093 and 121059.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160485144 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 859899305?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**2 - 14*o**2 - o + o**3 + 18*o**2 as t*o + a + l*o**3 + g*o**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*j + 4*j**2 - 69*j + 98*j - 15*j**3 + 14*j**3 - 112*j in the form d*j**2 + z*j**3 + b + h*j and give h.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g = 0. Let z(j) = -422*j - 3770. Let f be z(-9). Suppose f*r - 23*r - 5 = g. What is the second smallest value in 0.04, -3, r?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 6:52 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {c: 2, b: 18}.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6558615, -6558628, -6558645, -6558666, -6558691, -6558720?\n\"Answer: -2*n**2 - 7*n - 6558606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*r + 1. Suppose 3*u - h - 55 = -r*h, -4*h = u - 23. Let z(j) = 29*j. What is the remainder when z(1) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1614596, 1614601, 1614606, 1614611, 1614616?\n\"Answer: 5*t + 1614591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.149+-607\nAnswer: -607.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 - 1 - 4*k**2 - 3*k - 2*k**2 + 2*k as y*k**2 + b*k + n and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19471\/3078 - 497\/81. What is the common denominator of m and 143\/18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**4\/24 - d**3\/2 - 2*d**2. Let i be n(-5). Let f = 0 + 0. Solve 2*l = 3*h + 10, i*h + f - 4 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 9:42 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56802c (base 14) to base 10.\nAnswer: 2941608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -22 + -28 + 79.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-1))\/(-7*(-4)\/56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*v + 2387 = 119*v - 17*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:20 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 37*o + 20 = 0. Let z(i) = -i**3 + 14*i**2 - 25*i + 7. Let h be z(12). Put o, h, 5 in ascending order.\nAnswer: h, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4045688494 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2950 = -2*d, -12*j = -9*j + 5*d - 2965. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + w + 8. Let d = w - -6. Solve -5*b - d = -29 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012000100201 (base 3) in base 11?\nAnswer: 3a0465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**6\/240 + 29*s**5\/30 + 755*s**4\/48 - 218*s**3\/3 - 1918*s**2. Determine p so that x(p) = 0.\nAnswer: -109, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 501\nAnswer: 500.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2801894g in tonnes?\nAnswer: 0.0000002801894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 6 - 2. Let z be (-5)\/((2 - 4)\/u). Solve z = 2*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5194.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**2 + 201*y**6 - 2*y**2 - 167*y - 109*y**6 + 2*y**2 wrt y.\nAnswer: 11040*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47621 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 9:33 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/4 + 3394*d - 6787 = 0. What is d?\nAnswer: 2, 13574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -95*f + 19. Calculate n(1).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -16*c - 7. Calculate x(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 632 + 1?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.39984 - -2.4. Round k to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -203*x - 2 + 118*x + 101*x - 6*x - 7 + 7 + 2 - x - 2 + (0 + 3 - 5)*(-6*x + 4*x + 3*x).\nAnswer: 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 + (-19)\/((-285)\/(-120)) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 35 = -4*v, 5 = -3*o - 4*v. Suppose o*m = y + 4 + 3, -15 = -3*y + 3*m. Calculate the greatest common divisor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**6\/120 - 11*g**5\/30 + 13*g**4\/24 + 8*g**3\/3 + 7*g**2 + 2. What is the tens digit of c(-23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - -45. Let o = -93.65 - s. Let t = -1.45 - o. What is t rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(208) - ((-2*sqrt(208))**2 + -5)) + sqrt(208) + 0 + -2*sqrt(13)*-5 + -5.\nAnswer: -829 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, b: 1, r: 2, h: 1, n: 1}. What is prob of sequence roo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let n(h) = 3*h**3 - h + 1. Let o be n(q). Suppose -o*a + 96 = -0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 749*m**2 - m - 4593. Let h(u) = 2995*u**2 - 5*u - 18365. Let o(j) = -2*h(j) + 9*t(j). What is the derivative of o(d) wrt d?\nAnswer: 1502*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000702178 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 3133593?\nAnswer: 31335930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**4 - 23*u**3 - 4910*u**2 - 1604923*u wrt u?\nAnswer: -48*u**2 - 138*u - 9820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 16*h**2 - 13*h. Determine c(-15).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/16)\/((-1)\/(-24)). Let k be (-1 - p\/(-14))\/2. Let y = 1 - 1.3. What is the nearest to 0.2 in 0, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -4) + -6 - 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1908, 3440, 4962, 6474, 7976?\n\"Answer: -5*f**2 + 1547*f + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/27 (b) -3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 473 and 6665.\nAnswer: 73315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - j + 8 = -0*j, 5*n = 4*j + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53466605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 2. Suppose 0*m - 1 = f + m, 3*f - 5 = m. Suppose 2*w + 1 = f. Give j(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000769223165 rounded to 7 dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -31, 5 in ascending order.\nAnswer: -31, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z. Let o(r) = -278*r - 5. Let u(i) = -i + 1. Let c(k) = o(k) + 5*u(k). What is c(t(v))?\nAnswer: 283*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-6*(sqrt(8) - sqrt(72)))\/(-1*sqrt(16) - sqrt(4)) - (sqrt(72)\/sqrt(4)*4)\/(sqrt(108)\/(-1*sqrt(12)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.17 and 14.7145.\nAnswer: -282.076965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10331388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, -56 in increasing order.\nAnswer: -56, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2))**(-31))**(2\/11) assuming y is positive.\nAnswer: y**(31\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4))\/((198\/12)\/(-11)). Solve -2*t - 1 = 3*x, -2*x + u + 9 = -4*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 859546 is divided by 1817?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**7\/210 - t**6\/15 + 13*t**5\/100 + t**4 + 6*t**3\/5 - t + 4. Factor x(h).\nAnswer: h*(h - 6)**2*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -s + 26, -5*f - 31 = -2*s - 4. Let p = -26 - -25. Put p, f, -3 in increasing order.\nAnswer: f, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 654 or -941?\nAnswer: -941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttrftfufwwtvt. Give prob of picking 1 w, 1 v, and 1 u.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(0 + (1 - (-38)\/(-40))). Let u = v - -45. What is the third derivative of -529*w**2 - 28*w**u + 265*w**2 + 258*w**2 wrt w?\nAnswer: -1680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.90624 months in centuries?\nAnswer: 0.1832552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 27*z**2 - 267*z - 424. Calculate i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 138865 divided by -138865?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/81 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzpzzzpzpzzzzzzzzz. What is prob of sequence zzpp?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 420 divided by 9178.\nAnswer: 210\/4589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 155*v**3 - 146*v**2 + 20. Let q(t) = -52*t**3 + 49*t**2 - 7. Let n(a) = -6*k(a) - 17*q(a). What is the third derivative of n(c) wrt c?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 10.984. Round r to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from yhnmheeeensnsenysen.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - 5*c - 15*c as k + g*c and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 211*g - 2596. List the prime factors of s(80).\nAnswer: 2, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 41 = -5*f, -2*f + 8 = -4*c. Solve -3*r = -f*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -37. Let d be 18 + -18 - 2*2\/p. Let z be -3 - (-2 + (-94)\/98). Do d and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 405?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/5 - c**4\/5 - 4*c**3\/5 + 4*c**2\/5.\nAnswer: c**2*(c - 2)*(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1643\/630 + -83\/90. What is the common denominator of -7\/8 and m?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*d + 611. Let x = d - -403\/3. What is the closest to x in -3\/7, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 8*d**2 + 3*d - 11. Let l be v(8). Let s = l - 14. Do s and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 2*p**2 + 0*p**2. Let q(a) = 391*a + 187. Let k(y) = -130*y - 68. Let v(m) = 11*k(m) + 4*q(m). Give r(v(j)).\nAnswer: -53868*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 17*v**2 - 19*v - 306. What is y(14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - -3 - (-1 + 38 + -26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:20 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**4*l + 321*h**3*l**2 - 4*h**2*l + 12*l**2 wrt h?\nAnswer: -24*h*l + 1926*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51483*y**2 - 1965*y + 75\/4.\nAnswer: 3*(262*y - 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:45 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.53*1.4\nAnswer: -0.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 4:45 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4763876123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 52*r + 56 = 0, 0 = 2289*t - 2286*t - 5*r - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 229778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 11*o + 4. Let n be f(10). Let i(g) = g**2 + 4*g - 8. Let w be i(n). Suppose 3*p - 7 + 0 = -w*b, -2*p = -2. Are 1 and b unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-925)*-1*11\/((-88)\/20)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbfpbpub. Give prob of picking 1 u, 1 b, and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least as big as -1200\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 less than 2188?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -399758500 rounded to the nearest one hundred thousand?\nAnswer: -399800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1330966 + 374?\nAnswer: 1331340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, n: 4, f: 4, h: 1}. What is prob of picking 1 h, 1 n, and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 19*j**3\/3 - 2*j**2 - 2*j. Let h be n(2). What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12*(-150)\/(-135))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**6\/720 + x**5\/120 - x**4\/48 + x**3\/3 + 3. Let p(c) be the third derivative of a(c). Factor p(w).\nAnswer: -(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57325476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k + 9. What is d(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -17. Calculate the lowest common multiple of g and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18852 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t - 4. Let s(j) be the first derivative of -2*j**2 + 2*j - 42. What is -3*l(m) - 5*s(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r + 1. Let o(p) = -370*p - 5. Give o(f) + 3*x(f).\nAnswer: -367*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 8476.4533127 and 0.5.\nAnswer: 8476.9533127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6831152*m + 50375979.\nAnswer: -6831152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(432) + sqrt(432) - sqrt(432)) - (sqrt(432) - -6*(sqrt(432) + 0)**2).\nAnswer: -2592 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -308, -317, -336, -365, -404, -453, -512?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 38 = -114*n + 118*n, 0 = -5*l + 65. Find b, given that -29\/6*b + 1\/6*b**n - 13\/6*b**2 - 5\/2 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6667 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 * -3274037\nAnswer: 29466333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13241298 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.38? (a) -9 (b) 111 (c) -392\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 2, -38, -106, -202, -326?\n\"Answer: -14*i**2 + 30*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 2. Let y = -845 - -847. Which is the smallest value? (a) y (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15891404371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 272 - 262. Let u(w) = w**2 + 5*w + 2. Let m = 6 - 11. Let z be u(m). Calculate the highest common factor of f and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 340 - 23. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1062 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlmllelviimeell. What is prob of sequence viv?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/6 - 84193\/(-4281)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19))*-4 + (sqrt(19) - (sqrt(19) + sqrt(76) + sqrt(19))*3).\nAnswer: -15*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100728.44 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2657\/3972 - 3\/1324. Let g(z) be the first derivative of 2\/9*z**3 + 0*z - x*z**2 + 6. What is y in g(y) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2\/23 (b) -26 (c) 2 (d) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55674 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4) - 95\/(-20). Let p(h) be the first derivative of 0*h + 1\/2*h**2 + 0*h**4 + 0*h**3 + 1 - 3\/5*h**l. Find the second derivative of p(x) wrt x.\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (11 - (-15 + 32) - -8) - -15?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*i + 26, 0 = j - i - 0 - 8. What is the lowest common multiple of j and (-13)\/(-2) + 3\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2292675794+-95\nAnswer: 2292675699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*r - 4, 0 = -4*q - q + 5*r + 35. Let i = 2835 + -2835. Sort -2, q, 5, i in decreasing order.\nAnswer: 5, q, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4446054 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-333))\/((-14)\/(1596\/(-95)))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 - -130. What is the nearest to 2\/3 in 2\/9, -1\/8, i?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s. Let x be p(-4). Solve x*o + 12 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5877 + 5962. Calculate the highest common divisor of l and 670.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 0*j**2 - 28 + 0*j**4 - 4*j + 0*j**3 + 17\/5*j**5. Differentiate t(s) with respect to s.\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -1049476.\nAnswer: -6\/262369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 32771 = p, p - 13546 = -c + 19220. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from xrxxqoxrrxrrxx?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 - 88. What is the remainder when 69 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1412*d**4 - 5498 - 2*d**3 + 2*d**3 - 686*d**4 + 7*d - d**2 - 690*d**4 with respect to d.\nAnswer: 144*d**3 - 2*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21773521 rounded to three decimal places?\nAnswer: -0.218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g**6*m - 232*g**4*m + 46*g**2*m + 2*g**2 - g*m + 6*m wrt g.\nAnswer: 2160*g**3*m - 5568*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2833039 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52, -372, -1242, -2938, -5736, -9912?\nAnswer: -15742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.887 - -110.197. Let g = y + -94. Round g to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*-3*sqrt(228))\/((sqrt(240)\/sqrt(125))\/sqrt(4)).\nAnswer: -300*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, f: 3, a: 1, r: 2}. What is prob of picking 1 g and 1 r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1347958 seconds in hours?\nAnswer: 0.0022596655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16652, -133257, -449758, -1066103, -2082240, -3598117, -5713682, -8528883?\nAnswer: -12143668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.5, 0.1, 0, 648, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47\/(-6))\/(91\/((-47502)\/87))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = l - 8, 18*h + 59 = 64*l - 66*l - 3*h for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 27*u - 144. Let m be (18\/(-21))\/(165\/(-3850)). Calculate s(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003318353624 to four decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.091 + -0.109. Which is the nearest to -17? (a) -5 (b) -2\/13 (c) -5\/3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-5)\/(-15) - 4\/6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 140*j - 1247. Let l be c(-78). Let v(w) = 73*w - 4. What is v(l)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 5352, 5, 2, 1427 in increasing order.\nAnswer: 0, 2, 4, 5, 1427, 5352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 1011010020112?\nAnswer: 1011010020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-15))\/(1\/20). What is the derivative of 20*r - p - 1 - 19 wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 55 + 151 = 0. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18300 and 36600?\nAnswer: 36600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.152518092838 and -3.\nAnswer: -3.152518092838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52556, 105077, 157598, 210119?\n\"Answer: 52521*w + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 + 9*x**2 - 7*x + 3. Let j be f(3). Find the common denominator of 195\/(-9)*j\/(-84) and (79\/(-24))\/((-1)\/3).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-350)*(2\/(-2) + 11)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2 + 11908*m + 34765200 = 0.\nAnswer: -2146, 8100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*k - 7, -5*o = 3*k - 314 + 307 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -4\/3, -1, 0.06, 0.083.\nAnswer: -4, -4\/3, -1, 0.06, 0.083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 - -8168?\nAnswer: 8135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17734840133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1041*a = -37 - 36398 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*l - 210 = 0, 27*j - 26*j + 2*l + 60 = 0. Put 0.2, -0.4, j, -0.3, -1\/4 in ascending order.\nAnswer: j, -0.4, -0.3, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16*a**2 + a + 2. Let n be f(-1). Solve 0 = -5*o - 3*b + 9, 3*o - 4*b = n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*j**3 - 30800*j**2 - 133732*j + 102840 = 0. Calculate j.\nAnswer: -5, 2\/3, 2571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-108)*-8*((-9)\/2)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202*4.\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5 = 3*b, -4 = -4*v - 5*b + 10. Let o be ((-3)\/(-6))\/((-1)\/(-12)). Let p = v + o. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28\/177? (a) -1.3 (b) -0.1 (c) -4 (d) 3\/11 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 656.4321 days in minutes?\nAnswer: 945262.224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**7\/280 - 9*c**6\/160 - 41*c**5\/40 - 15*c**4\/4 + 1093*c**2 - 2*c - 2. Factor m(u).\nAnswer: 3*u*(u - 15)*(u + 2)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + -8 + 20 + -5 + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(66)\/sqrt(6) + 4) + -5)**2.\nAnswer: 168*sqrt(11) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8955*o - 2400. Let w(t) = -2*t - 40. What is -k(f) + 60*w(f)?\nAnswer: -9075*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.099106 minutes to seconds.\nAnswer: 365.94636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 601429*d**3*j - 93*d*j**2 - 354110021*j**2 wrt d.\nAnswer: 1804287*d**2*j - 93*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6050944?\nAnswer: 2, 41, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - ((3 - 3) + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + q + 3*q - 20, 2*q + 4 = 3*f. Solve -18 + 30 = f*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - n = 3*c + 10, -5*c + 74 = n. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 12:11 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -148*k**2 + 11*k + 4165. Let n(t) = 221*t**2 - 17*t - 6248. Let v(o) = -8*f(o) - 5*n(o). Differentiate v(s) with respect to s.\nAnswer: 158*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, p: 1, i: 5, z: 3, x: 8}. What is prob of picking 1 f and 1 z?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -221 + 373. Suppose 4*m = -2*d + 128, 2*d - 2 = d. Calculate the remainder when w is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17958, -35912, -53866, -71820?\nAnswer: -89774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 66 = 16. Let l be (n\/(-15))\/((-6)\/4). Suppose -3*z + 0*z + 3 = 0. Which is the nearest to z? (a) l (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**6\/12 + 7*l**5\/30 + l**2 + 5. Find the third derivative of n(k) wrt k.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -216751 and 1736.\nAnswer: -215015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 10. Let c be (-1)\/(-2)*(h - 0). Solve c = -3*x + 15 - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 0.5, 34, -1\/2, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*b)*(-38*b**2 - 32*b**2 + 115*b**2) - 3*b**3 - b**3 + b**3 + 0*b**3 + 3*b**3 - b**3.\nAnswer: -91*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (10 - 13) + -14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8531 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 1092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 602460020 = z + 4*z, 0 = -s + 3*z + 301230012. What is s rounded to the nearest 1000000?\nAnswer: 301000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*p, 3*p - 29 = -5*b - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, 0.3, 2\/79?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, -3\/8, -0.02, 12\/5, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.062027 - -0.062027. Let y = -4 - -19. Let i = -978\/1687 - -2\/241. What is the smallest value in y, i, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*((-225)\/9 + 21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 1, e: 2, q: 1, d: 2, v: 4}. What is prob of sequence kqv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i**2 + 32*i**2 + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -402*s + 66*s = -3696 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*o - 285588, 2*h - 5864 = -o + 136940. What is h rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78 - 17) + -1 + -3 + 12\/(-3).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - z**4 + 1 + (130*z**3 + 128*z**3 - 296*z**3)*(-4 + 4 + 2*z) in the form l*z + k*z**2 + s*z**3 + v + b*z**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and -15412622211.\nAnswer: -15412622210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 43. Let r = 4 + 0. Suppose r - k = f. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.079 in 59, -10, 0.1, -5, 4, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33570, 33487, 33404, 33321?\n\"Answer: -83*f + 33653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 463\/36 - 51\/4. Let i = -5\/18 + d. Let t = 4267\/10 - 434. What is the common denominator of t and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 67?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31073, 31283, 31509, 31757, 32033?\nAnswer: 32343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 1 + 22*j + 3 - 4 - 204*j**5 - 2 wrt j?\nAnswer: -4080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250 and 209360?\nAnswer: 5234000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/1498758 and -35\/631056?\nAnswer: 11990064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.179046 and -0.001?\nAnswer: 0.000179046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -94, -7157255 in decreasing order.\nAnswer: 2, -94, -7157255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (34\/68*(-12)\/3)\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmo when three letters picked without replacement from {m: 4, w: 6, l: 1, x: 7, o: 2}?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4009*m - 4139*m + 8144*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q*q**(-7)*q*q)\/q)\/q)\/(((q\/(q**(4\/3)\/q))\/q)\/q))**42 assuming q is positive.\nAnswer: q**(-154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -843, -1258, -1671, -2082?\nAnswer: -2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.50051132 to 4 dps.\nAnswer: -19.5005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/(-105)*117\/(-2). What is the third derivative of -56*a**3 + 2*a**4 + 54*a**3 + a**4 - f*a**2 - 4*a**4 wrt a?\nAnswer: -24*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.3 and -42591381727.16.\nAnswer: -42591381720.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65\/20 - 3)*(-8)\/(-1). Suppose -19*a + 14*a = q*k - 597, -2*a = 2*k - 600. What are the prime factors of k?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1276*j + 165. Let r(c) = -10*c + 5. Let h(v) = -4*p(v) + 132*r(v). Let n(f) = 3*f. Calculate n(h(m)).\nAnswer: 11352*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*l - 61021 - 35430 = -826*l + 10663 for l.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q + 4*q)*((0 - 2 + 1)*(q - 5*q + 0*q) + 45*q - 28*q - 20*q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.6 + -18. Let h = -5.1 - d. Let a = h + -2.41. What is a rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4048*d*v**3 + 4*d*v**2 + 239*d*v + 7*d - 3*v wrt v.\nAnswer: -24288*d*v + 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70310 or -15\/7?\nAnswer: 70310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 127484137 to the power of 1\/2, to the nearest integer?\nAnswer: 11291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.77086 and -1.\nAnswer: 0.77086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/1242 and -41\/6951888.\nAnswer: 20855664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 270340.\nAnswer: 540680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/3388906 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n**(1\/11)\/n*n)**19 assuming n is positive.\nAnswer: n**(247\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000993637 to 7 decimal places.\nAnswer: 0.0000994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/15, 1, 402\/11, 5, -2\/11, 2\/7, -1\/37?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 247 = -v + s, 4*v - 988 = s. Let a = v + 37. What are the prime factors of a?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85326281 is divided by 6268?\nAnswer: 6265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 1. Let m(w) = -10*w + 8. Suppose 2*x = x + 1. What is x*m(g) - 8*y(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 8. Suppose -4*o + 2*n = -14, o - 14 = 6*n - 2*n. Let h be j(o). Let m = 20 - 13. Solve -2*b + m*b = -h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 16. Let t be 1\/2 + 2\/(-4). Let o = -1 - t. What is the nearest to o in z, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-6)*(154\/(-121))\/(-7). Sort r, 554, -1 in ascending order.\nAnswer: -1, r, 554","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 282, 427, 574, 723?\nAnswer: 874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-4))\/(2\/(-3))*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6 = -2*l, -3*l + 5*m + 1838 - 1847 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 6. Let s be w(4). Let k be 15\/s + 3\/6. Let o be k - 1\/(2\/2). Solve -4*b + 22 = o*a, 5*b + 3*a = 8*a + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19431 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-1)*(12\/2 + 61) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from fzfc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-8) + (1 - (-28)\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1866033 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*p**2 + 4610*h*p + 89*p**4 + 2*p**3 + 3*p**2 - p - 5 wrt p.\nAnswer: 4*h + 1068*p**2 + 12*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -22, -24, -28, -34, -42?\n\"Answer: -t**2 + 3*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8087 + 824 = -2*h - 5*k, 4*h + k - 14499 = 0. Suppose 4*b - c - h = 0, -c - 903 = b - 2*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 * -1344.\nAnswer: -188.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2843 + 963. Let j = m + -372. Solve -k + 3*c - c = 10, 0 = k - j*c + 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12375, -24745, -37117, -49491, -61867?\nAnswer: -74245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 7755422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 8.125988 minutes in seconds?\nAnswer: 487.55928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1137*b - 481. Is o(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - p + 3. Let n(u) = 9*u**2 + 5*u - 16. Calculate 11*i(f) + 2*n(f).\nAnswer: -4*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3, -0.5, 2\/171, 30, 3\/4, -2, -1\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*h - 5*h, -3*j = -h + 5. Let d(z) = -2*z**2 - 2*z - 2. Let g(i) = i**3 - 3*i**2 - 2*i - 3. Calculate h*g(b) - 3*d(b).\nAnswer: 2*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 60182*0.176\nAnswer: 10592.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100001111 (base 2) to base 7\nAnswer: -535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cho when three letters picked without replacement from crcrrhoeeowo?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -0.3, -778\/29, -0.04?\nAnswer: -778\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1435691 or -7178459\/5?\nAnswer: -7178459\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -4 - (-17845)\/(-27). Let t = h + 663. Let x = -0.35 + 5.35. Which is the third smallest value? (a) t (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 37*w - 5. Let b(j) = 239*j + 0 - 48 + 113*j. Let l be ((-2)\/(-4))\/((-37)\/370). Let v(p) = l*b(p) + 48*t(p). Let y(g) = -g. Calculate v(y(n)).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250033*x - 250033*x - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.4 and -3?\nAnswer: -79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-6) - (-65)\/30. Suppose 0 = -2*s - 2*b - 32, 5*b + 24 + 24 = -3*s. Let k be (s\/10)\/(a\/(-5)). Solve -r - 10 = k*z + 2*r, -5*z + r = 22 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 - (2 + 6 + 10 - (9 + -5))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12458905?\nAnswer: 5, 163, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*n**2 - 46*n**2 - 39*n**2 + 13*n**2 + (1 + 5 - 2)*(-n**2 + 0*n**2 + 0*n**2).\nAnswer: -103*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.1. Let c = 0.8 + a. Sort c, -3\/4, -3 in increasing order.\nAnswer: -3, -3\/4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 + 152. Suppose 0 = -i*u + 50*u + 100302. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66879144*g**2 + 491057*g - 45.\nAnswer: -133758288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-24)*(-574 - 0). Let m = p - -159. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*-17\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 340232724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lggg. Give prob of picking 3 g.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*284\/(-1704).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 3*z + 1. Let y be h(-2). Let b = y - 3. Is (0 - -17 - 2) + b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 3*y - 5 - 2)*(-3 + 4 + 0) to the form g + d*y and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-11)\/(-2))\/((-3)\/(-6)). Solve -n = 5*w - 16 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 a factor of 3645855493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6336 and 125\/396.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*l - 2*i + 2, 2*l - 3*i = -10. Let y = 0.4 - -0.1. Let u = -0.9 - -2.9. Which is the second biggest value? (a) u (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/4675 and 43\/3833775?\nAnswer: 65174175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -60*k**2 + 192*k + 199. Determine s(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (2 + -2)) + 1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -45, -331, -1117, -2655, -5197, -8995, -14301, -21367?\n\"Answer: -42*r**3 + 2*r**2 + 2*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1403 - 4?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by ((-3)\/9)\/((-1)\/57)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55589 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 1:42 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/3 + 56*u**2\/3 + 154*u\/3 + 100\/3.\nAnswer: 2*(u + 1)*(u + 2)*(u + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 3*p - 12 + 1\/40*p**5 - 5\/4*p**3 + 1\/4*p**4 + 2*p**2. Determine c so that r(c) = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 12*i**2 + 106*i + 38. Let g be u(18). Factor 1\/7*z**3 + 8\/7*z - 5\/7*z**g - 4\/7.\nAnswer: (z - 2)**2*(z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 320113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/1172 and 121002\/6192*8\/14.\nAnswer: 3516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 + 1. Let i(y) = -y**2 + y - 1. Let r(n) = 20*n**2 - 3*n + 6. Let s(p) = 3*i(p) + r(p). Let z = 12 + -9. Give z*s(d) - 8*a(d).\nAnswer: 3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 91*q - 5. Let y be i(1). Let m = y - 128. Let g = m + 82. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*i + 837 - 1047 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 4950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 6*x**2 + 768*x - 7. Let k(u) = -3*u**2 - 383*u + 3. Determine -7*k(p) - 3*q(p).\nAnswer: 3*p**2 + 377*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/3 or -2\/4661?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -35d (base 14) to base 3\nAnswer: -220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + (sqrt(700) - (sqrt(700) - ((sqrt(700) - sqrt(700)*2) + sqrt(700)))))\/(-2*(sqrt(4) + sqrt(64))))**2*2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 7314*z**2 + 7342*z**2 - 2*z.\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -700*s**3 + s**2 - 8*s - 13. Let i be m(-2). What is the hundreds digit of i\/42 + 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16888345?\nAnswer: 5, 107, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2265*g - 292 + 132 + 162 to j + t*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - 131023021020?\nAnswer: -131023021113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*y + 713 = 0, 0 = 3*d - 3*y - 513 - 198. Let m be d\/30 - (-2)\/15. Solve -4*j + 3*p = -m*j - 1, 5*p - 33 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.36? (a) 0.5 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (4 - -20 - -4 - 12).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*v - 387*v = 387*v - 1220*v + 5100 for v.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**7\/630 - i**5\/60 + i**4\/36 + 3*i**2\/2 + 4. Let u(r) be the second derivative of d(r). Factor u(v).\nAnswer: v*(v - 1)**2*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - 4*w)*(w - 4*w + 2*w)*(0*w**2 - 5*w**2 + 0*w**2).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**8\/210 + u**7\/175 - 13*u**6\/300 - u**5\/150 + 3*u**4\/20 - 2*u**3\/15 + 70*u**2. Suppose i(g) = 0. Calculate g.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*1*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.25, 0.05, -7\/3 in decreasing order.\nAnswer: 0.05, -0.25, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*c**3 + 107*c**3 - 2*c + 53*c**3 + 0*c - 70*c**3.\nAnswer: 200*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + -3. Let o = i + 4. Let d be 45\/10*-2*(-3)\/(-18). Which is the nearest to 0.1? (a) -1 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 63. Let o(c) = p*c + 5 - 9*c - 5*c. Calculate o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*q + 244 = 2*g, -2*q - 2 = 0. Is g a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195518 = 266*m + 210946 for m.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3094 = -2*v + f - 0*f, 0 = 2*v + 3*f - 3110. Suppose 3*s + 160 - v = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 - 106. Which is the nearest to 6? (a) y (b) 0.4 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 197)*(-380)\/60. Suppose 1260*r = s*r + 8568. List the prime factors of r.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4826302 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3) - (sqrt(24)\/sqrt(2))\/sqrt(4) - -1*sqrt(300)))**2.\nAnswer: -60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 309109 - 43985 - 397306 = 0. Is 14 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l**2 + 1. Let j(g) = -105*g**2 - 1050. Let i(z) = -a(z) + j(z). What is the first derivative of i(c) wrt c?\nAnswer: -204*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 921063 and 921063 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905758 is divided by 592.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 325\/20. Let d(t) = -2*t**3 - 7*t**2 - 7*t + 2. Let k be d(-5). What is the greatest common divisor of i and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/30*1*(-8)\/14?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) -1\/13 (c) 2 (d) 0.1117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + 2083. Suppose 8*t = 504 + b. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 55*f - 597. What is n(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302349.915 nanoseconds in weeks?\nAnswer: 0.0000000004999171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -126795 >= -126789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 10*v**2 - 12*v - 9. Let q be b(-11). Suppose -4*w = 2*d - 3 - 5, q*w = 0. Solve 0 = u - d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1071)\/63 + (-2120)\/(-125)\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1059748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147186, 147131, 147042, 146919?\nAnswer: 146762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44) + 4 + 1)**2*6.\nAnswer: 180*sqrt(11) + 744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 160, -3887, 19 in descending order.\nAnswer: 160, 19, -1, -3887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 9:58 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, 2\/17, -192.9, 34 in decreasing order.\nAnswer: 34, 4, 2\/17, -0.4, -192.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -118848.\nAnswer: -1\/118848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (1209\/(-27) - 8\/36). Suppose -3*m = 131 + 13. Let f = m + a. Which is bigger: f or -14\/15?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-91)\/28)\/(-13))\/((-2)\/(-8)). Let v be 2\/7 - (-36)\/21. Let l(y) = -y + 0*y**2 + y**2 - y**v - y**2 - m. Give l(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -34 - 36 + l + 83. Let n be b(-9). Solve 0*c = c - n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*x + 10 - 0, -5*x = 5*a - 50. Let q(d) = -3*d + 5. Let y = -2 + 2. Let z(n) = -2 + y + 4 - 1. Determine a*z(t) - q(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 2*k**3 + 2*k**3)*(-k + 3*k - 4*k) - 756*k**4 + 255*k**4 - 396*k**4.\nAnswer: -899*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 135 = -17*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/19 in 9, 0.1, 95058?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 921562 to the power of 1\/2, to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 5*v - 2151 - 1526, -4*v - 7368 = -4*z. Solve z*k = 1845*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2 = p + b, 0 = -5*p - 2*b + 54. Let w be ((-5)\/p)\/(2\/(-52)). Solve 5*u - w = -3*a, 5*a - 12 = -3*u - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/9 + 26*b\/9 - 136\/9 = 0.\nAnswer: -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 - ((-1)\/4 + 27\/12). Let w(l) = -6*l - 11. Let x(g) = -13*g - 22. Let p(a) = r*w(a) + 4*x(a). Give p(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8*(-3)\/((-6)\/5). Let y = w + 23. Let g = -67 + 67.3. What is the second smallest value in g, y, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 309\/11 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2269 + 2268. Let s = 4 + -5. Let d = s - -0.9. What is the closest to d in -5, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4824\nAnswer: 1\/2412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-224)\/105)\/(-32))\/((100\/15)\/4).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 712\/5 or 4?\nAnswer: 712\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/108 + 173\/1188. Calculate the common denominator of -59\/6 and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(13) + 4 + sqrt(117) + sqrt(13) - -3*sqrt(1872)*1*1)**2.\nAnswer: 21853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199 - -201. Suppose -y*p - 157 = -147. Put p, 0, -4, -80 in increasing order.\nAnswer: -80, p, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*d - 116 = 0, -12 = 5*c - 3*d - 614. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-3))\/(6\/(-18) + -1). Let z be (-1 - -2) + -4 - -2. Put 4, v, z in ascending order.\nAnswer: z, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 6\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 37732864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6499, 6284, 6069?\n\"Answer: -215*a + 6714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 5*b + 5, 3*b = 5*h - 11. Let o(x) = -6*x + 15. Let a(r) = -3*r + 8. Let n(k) = -5*a(k) + 3*o(k). Give n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*s = -2*s + 296, 4*x + 5*s - 393 = 0. Suppose -6*l + 65 = -13. Let y = x + l. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ad - -31?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 10*k**2 + 7*k. Let g be y(7). Let m = 66 + g. Let f be (35625\/(-6))\/(2\/m). What is f rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2) + 1 + 8990\/(-2325). What is the second smallest value in -2\/3, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 149513, 5\/6 in ascending order.\nAnswer: -1\/4, 5\/6, 149513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 + 3*m**5 - 3*m**5)*(1 + 1 + 0) - 4 - 2*m**5 + 4 + 73*m - 412*m**5 - 42*m - 31*m.\nAnswer: -418*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*t + 5*m, -2*t + 4*t - 9 = 5*m. Suppose -3*a + t*i + 25 = 0, 3*i + 9 = 5*a - 32. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0.7 (c) 88\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -3 (b) -4\/9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/2)\/(5\/20). Let w be 1\/((-10)\/m) - -1. What is the smallest value in w, 0, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000850173 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -5 - 6 - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001558 rounded to six dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15070 and 1540?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-3)*(-78)\/4576*-22.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(((-5)\/6)\/5). Let a = 9 + l. Suppose 2*u - 47 = -a*x, -3*x - 4*u - 6 = -43. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 9:02 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -1\/2 (c) 30 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9\/16 (b) -3 (c) -6215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13, 6.\nAnswer: 1, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1224*z**2 + 6*z**5 + 6*z**6 - 28279*z + 28279*z - 7*z**5 wrt z.\nAnswer: 720*z**3 - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 + 4*l\/9 - 16\/9.\nAnswer: 2*(l - 2)*(l + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2692, 5560, 8446, 11350, 14272, 17212?\nAnswer: 20170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11856 and 148428?\nAnswer: 7718256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2199533 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6022 is divided by 685?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29417886 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(17) + -2 + sqrt(17) + (-3*sqrt(68) + -5 + sqrt(68))**2.\nAnswer: 42*sqrt(17) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h + 12. Let i(u) = u**2 - 5*u - 18. Determine -2*i(r) - 3*l(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 91. Let p(b) = b + 30. Calculate 2*k(s) + 7*p(s).\nAnswer: s + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/18 and -1\/3454950.\nAnswer: 10364850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -42, 1\/3, -0.1, 3.482?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, l: 2, j: 5, e: 1, i: 6}. What is prob of picking 1 j, 2 l, and 1 i?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -2\/9 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -173 + 32. Let c = g - -266. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 14569.296 months?\nAnswer: 1.214108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)\/((-2)\/70) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -10.121?\nAnswer: 5.0605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, s: 5, n: 4}. Give prob of picking 1 s and 3 n.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/17500 and 29\/21000.\nAnswer: 105000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.9*-12.\nAnswer: 166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/542 and -103\/14.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11*q**3 + 4*q**2 - 2*q + 5. Let w(a) = -56*a**3 + 21*a**2 - 11*a + 26. Calculate 11*b(i) - 2*w(i).\nAnswer: -9*i**3 + 2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -505 - -518. Find the first derivative of 59 - i + 4*f + 17 + 20*f + 62 - 2*f**2 wrt f.\nAnswer: -4*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p. Suppose 3*r - 5*l + 2*l + 69 = 0, 0 = 2*r + 4*l + 28. Let g be 3\/r + 8\/20. Are g and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 284 + -285. Which is the closest to z? (a) -0.2 (b) 0.06 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 869492\/32 + (-27)\/(-72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2. Let m(y) = y - 1. Let h(g) = g**2 + 3*g + 1. Let z(x) = -h(x) - 2*m(x). Let r be z(-5). Let w(p) = r - 1 - p. What is w(n(v))?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4224087.\nAnswer: 3, 7, 67049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z**2 + 11*z - 34. Let y(r) = 3*r**2 - 3*r + 8. Let b(c) = 4*p(c) + 18*y(c). Factor b(x).\nAnswer: 2*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**3 + 11058*s - 3*s**3 + 680 + 346*s**2 - 12082*s = 0.\nAnswer: 1, 2, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 15*u + 41 = h, 2*u + 3*h = 18. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 2*d + 8. Suppose d*f + f - 25 = 0. Let o(k) = 0 - f - k + 4 + 0*k. Determine o(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*b + 16 = -188. Let k be 81\/b - (20 + -11). Find o such that -3\/2*o**4 + k*o**2 + 3*o**3 + 0 + 0*o = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - 4*l + 4*l + (-4*l + l + l)*(l - 3 + 3) - 1 + 1 - l**2 - 48*l + 48*l + l**2 in the form g + f*l + m*l**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - -32. Calculate the remainder when 92 is divided by f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169235, 676932, 1523093, 2707718, 4230807, 6092360?\nAnswer: 8292377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-6)*d**(2\/11))\/(d*d**(-2\/9)*d*d*d**5))**(19\/5))**(1\/9) assuming d is positive.\nAnswer: d**(-25574\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31561 + -31560.58202. What is z rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -295 - -294.9. What is the third smallest value in -0.321, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 913*p**4 + 383 + 5019 + 87*p**4 wrt p.\nAnswer: 4000*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 61\/((-58926)\/(-2001)) - (-1 + 0 - -3). Let a(r) be the first derivative of -1\/21*r**3 + 1\/28*r**4 + 1\/7*r - o*r**2 + 29. What is c in a(c) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15754 + -0.07754. Let r = -2.9 - -3. What is the closest to r in t, -2\/3, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 379 or 1514422\/4005?\nAnswer: 379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167\/3 + 22*3416\/(-2684).\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {m: 1, q: 1, a: 1, b: 2, h: 2, p: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 41218?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3024 and 2408?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -1.7437 (c) 2\/17 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13724\/7 + -6779481\/3458. What is the common denominator of n and -125\/114?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-14 + 17)) + 0 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2732134 and 6?\nAnswer: 8196402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164252 + 12*u + 32*u**2 + 82119 + 82133 - 34*u**2 - 12*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 65430?\nAnswer: 65424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279596 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t - 8 = -24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*t**2 + 2335006*f - 289863*t**2 wrt t?\nAnswer: -4*f*t - 579726*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 2. Suppose -5 = 4*v - 13. Suppose w - 6*w = 55. Let i(h) = 5*h - 11. Give v*i(y) + w*j(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14 - (-1)\/((-5)\/(-150)*-3). Solve 16 = -o*b, -3*l - 2*b - 4 = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2202)\/(1 - 4) - 605\/121 is divided by 362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*f**3 + 492445*f**2 + 3031337530*f + 757803605.\nAnswer: 5*(f + 12311)**2*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 463 + -464. Does 12 divide ((-238)\/(-28))\/(m\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 + 6. Let c(f) = 5 + 4*f**2 + 3*f**2 - 14*f**2. Let m(n) = 4*c(n) - 5*r(n). What is the derivative of m(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 660, 1321, 1982, 2643?\n\"Answer: 661*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/16*-2)\/(12\/16)*6\/27.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(3\/2)\/c)\/c)\/((c*c**(-5)*c)\/c))**(-3\/25) assuming c is positive.\nAnswer: c**(-27\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1630.305 centuries to decades.\nAnswer: 16303.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from xmxdjzvz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157 - 560*u**3 + 244*u**2 + 166 - 323 - 8*u.\nAnswer: -4*u*(5*u - 2)*(28*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13195239 to the power of 1\/4, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 748*u + 254 + 2224 - 234 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8803512 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 minus 14847693?\nAnswer: -14847765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33540940?\nAnswer: 2, 5, 1677047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021122 - -220021?\nAnswer: 22011220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.61, -3, -1, 0, 2?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -3*h - 165. Suppose w + 29 = g, -w + h = g + 2*w. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**13)\/a)**39 assuming a is positive.\nAnswer: a**507","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from hhchyhhhhhcchhy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*q + z + 15, -2*q - 3*z + 11 = 0. Suppose -1 + 17 = q*i. Solve -10 = -i*b + o, 4*b = -b - 5*o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - (sqrt(95)*-1 + sqrt(95))*-6 - sqrt(95)))*-4)\/((sqrt(5) + sqrt(180)*2)*5).\nAnswer: -4*sqrt(19)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-192)\/(-9) - 6\/(-9). Suppose -r = -2*k + 104. Suppose -3*s**2 - k + 72 - 3*s + 9*s + 0*s**2 = 0. Calculate s.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1101*c**4*w + 6*c**3*w**2 + 20478*c**2*w - 2*c*w**2 wrt c.\nAnswer: 26424*c*w + 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from qqpqlqll?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 11:54 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k + 0*k = 64. Solve -3 = k*s - 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 127, 98, 71?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 0.71, 0.29, 3\/295, -1, 0.3?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjjfjjjvvjmjj. Give prob of sequence fv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1532.8918 - -0.1082. Let i = -1532.999077 + s. Round i to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 + -51 - 7) + 21 + -4 + -5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 + 5 + -2 - (-204 + 203)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/5))**4*(a*a**2)\/(a*a*a**2))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1957*-3\nAnswer: 5871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b2c7 (base 13) in base 4?\nAnswer: -233313002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3786601 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-4)*88\/6. Let t(b) = -44*b**3 - 1. Let l be t(1). Let d = a + l. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 5*h = -37, -2*y - h = -6*y + 57. What is the second derivative of 5*p**3 - 11*p + 6*p - y*p - 2*p wrt p?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 21 + -19 + 31\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a (base 12) in base 7?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 3 (c) -25.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.673 + -7.211. Let o = -4.9 - w. Let r = 61 - o. What is r rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*t + 1120 = 124*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -41\/36*v**4 - 7\/15*v**5 - 1\/630*v**7 + 63*v**2 - 3\/2*v**3 - 1 - 1\/12*v**6 + 0*v. Suppose w(g) = 0. What is g?\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 760 = 201*v + 3300 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**2 + r - 3. Let d be p(5). Let s = d - -112. Is s != -109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 6. Let t be a(13). Let v be -1 + 3 + t\/(-11). Which is greater: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 280 - 190. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w + 2*w**2 - w**2 - 5 - 2*w + 4*w. Let v be t(-4). Let q = -10 + v. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -72, -145, -240, -351?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 41*w**2 - 4*w + 1. Is r(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -282.1 + 221.1. Sort -2, u, 4\/5, -1 in descending order.\nAnswer: 4\/5, -1, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1411437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 174\/(-15) + (-6)\/(-10). Let f(b) = -b**3 - 10*b**2 + 11*b + 10. Let m be f(i). Solve 5*q = m, 0*r + r - 5*q + 5 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t + 0*t)*(-22*t - 14*t - 367*t)*(-5 - 3*t + 5).\nAnswer: 1209*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 30 - (-20 - -10 - 1)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, w: 11}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, a: 2}. What is prob of picking 4 o?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/194 + 115\/3492. Let y(o) be the second derivative of k*o**4 - 1\/90*o**6 + 1\/60*o**5 + 0 - 1\/126*o**7 + 0*o**3 + 0*o**2 + o. Factor y(d).\nAnswer: -d**2*(d - 1)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52242332 + 52242815.99091. Let z = -0.0641 - -484.0641. Let j = g - z. Round j to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -1\/6, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 20, 24, 40, 74, 132, 220, 344?\nAnswer: 510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 6*y**2 + 13*y - 6. Give b(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**5\/30 - 68*a**3\/3 + 65. Let x(f) be the third derivative of j(f). Let s(r) = 45*r. Determine x(s(h)).\nAnswer: -180*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + v + 87, -4*o - 3*v = -15 - 66. Calculate the lowest common multiple of 52 and o.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177 and 151018347.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from jaayfj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4282\/12 + (-32)\/(-192). Is j not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {y: 2, d: 8, z: 8}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -4.02. Let l = 2.02 - p. Let a be (-124)\/42 - (-4 - -1)*1. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -546\/49831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + -2 + (sqrt(275) + ((-2*(sqrt(275) + -4 - sqrt(275)) - sqrt(275))**2 - sqrt(275)) - (sqrt(275)*3 + -1))*3).\nAnswer: -855*sqrt(11) + 3048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 4*b**2 - 6. Suppose 0 = 3*v + r - 9, v - 6*v - 3*r + 15 = 0. What is the units digit of z(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 2. Determine t(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y + 5*x - 12 = 0, -5*y = 3*x + 30. Is 14 a factor of (-4)\/y + 275\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -34 - 8*l + 16 + 9*l + 15. Suppose -3*o + 12 = 3*z, 5*o - 3*o - 3*z - 8 = 0. Suppose -o*b + 4*g = b - 27, -3*b = -3*g - 15. Calculate t(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10473.3 + 10066. Let c = -432 - l. What is c rounded to 0 dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49683324 and 90663?\nAnswer: 49683324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/100 + 272*o**5\/25 - 18496*o**4\/5 + 211*o**2 - 2*o. What is q in l(q) = 0?\nAnswer: 0, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -3 - 4 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9200449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - y**2 + 3. Let l be d(-6). What is the remainder when l\/9 - 2\/(-3) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/6 - 44\/3. Calculate the common denominator of 89\/(-20) - (-3 - 0) and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (62*(-76)\/(-11780))\/((4\/2)\/(-210))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -42001243?\nAnswer: 42001247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 248718778291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {p: 4, a: 2, q: 3, n: 8}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7843 and 135775970?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 87329 = 3*l, 3*l + 3*n - 68397 = 18939. What are the prime factors of l?\nAnswer: 43, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/3))\/s**(2\/3))\/((s*s**(-4))\/s*s*((s\/(s*(s*s**(3\/4)*s*s)\/s))\/s)\/s))**(4\/31) assuming s is positive.\nAnswer: s**(35\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190 - 188. Suppose 4*y + z - 543 = 614, -2*z + n = 0. Does 32 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -50324\nAnswer: 4\/12581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**35\/d**26*d**20\/d**(-2\/57) assuming d is positive.\nAnswer: d**(1655\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178 - -87. Calculate the remainder when u is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 246375 and 38617.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + c + 12. Suppose -2 = -c*s + 3*s. Let w be 46\/(-90) - s\/(-5). What is the smallest value in -5, w, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 32. Solve -k - w*h = -2*k + 9, -2*k + h + 9 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 5*z**2 - 6*z + 3. Let q(r) = r**2 - 4*r - 8. Let n be q(6). Suppose 0 = t - 2 - n. Let x be a(t). Solve 5*o + 2 + 3 = u, x*o + 3 = 5*u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58\/13*w**3 - 1080\/13 + 1134\/13*w - 414\/13*w**2 - 2\/13*w**4.\nAnswer: -2*(w - 20)*(w - 3)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380520 greater than 1380514?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*w - 6018 = 780 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 56*j**3 + 6*j**2 - 63*j + 129. List the prime factors of h(6).\nAnswer: 3, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 4. Let a be h(-3). Let i = -1 + a. Let l(q) be the first derivative of -q**4\/4 + 5*q**3\/3 - q**2 - 5*q - 77. Calculate l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + g + 10004 = 0, 4*g = -0*f + f - 2016. Suppose -6*y = -22*y + f. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 18, 53, 92, 129, 158, 173, 168?\n\"Answer: -c**3 + 8*c**2 + 18*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n + 18 = 6*n. Let a be (1 + 0)\/(n\/6 - -1). List the prime factors of (1 + (-130)\/(-6))\/(a\/3).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2030 and 16849?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/46, 1, 3\/4, 3, 271, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18*k**3 + 9*k**2 + 6*k - 133. Let b(d) = 53*d**3 + 26*d**2 + 17*d - 397. Let c(o) = 6*b(o) - 17*p(o). What is the derivative of c(y) wrt y?\nAnswer: 36*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 3*y - 1. Let q(o) = -o**2 + 10*o + 9. Calculate the remainder when q(8) is divided by r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1680575?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1079 times 9.214\nAnswer: -9941.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4810 and -38399765.\nAnswer: -38404575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-8*j + 8*j - 10*j).\nAnswer: -20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 4 - 4 + 19*z to the form k + q*z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**4 + 2*r**4 - 2*r**4 + (r - r - 2*r**2)*(-91*r**2 - 8254*r + 8254*r) + 0*r + 0*r - 2*r**4)*(3 - 3 - r).\nAnswer: -183*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) - 2*sqrt(475)) + -4)**2 + (-4*(sqrt(133)*2 - sqrt(133)))\/sqrt(7).\nAnswer: 36*sqrt(19) + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/2)\/(15\/10). Let y = -75.5 + 76. Which is the third smallest value? (a) -5 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 48*k - 572. Let t be f(-24). Put 3, -26, 0, t in ascending order.\nAnswer: -26, 0, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 2*f. Let v = -8 - -9. Suppose -2*r + 4 = -4*r. Let c(t) be the first derivative of t**2\/2 - 1. What is r*c(w) + v*b(w)?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 49*b + 5. Let g(z) = 20*z + 2. Let k(q) = -5*g(q) + 2*i(q). Let l(t) = -76*t**2. Calculate k(l(d)).\nAnswer: 152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.56 (b) 0.1 (c) -142\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**3 - h + 1. Suppose 4*r = -r + 4*d + 21, -5*r + 3*d + 17 = 0. Calculate the remainder when 42 is divided by s(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21417534 and 13186?\nAnswer: 406933146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/38912 and 97\/14.\nAnswer: 272384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.14 (b) -1\/3 (c) 3\/32 (d) -4\/7 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2635 is divided by 56?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from {x: 11, d: 5}.\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 114562971 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/60 - 3*f**4\/8 - 11*f**3\/3 + 22*f**2 - 2. Determine s(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 47. Determine y(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -5, 5, 1\/2, -495?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*1*-4 + 3 + (-1 + (2*sqrt(304) + 1 - sqrt(304)))**2.\nAnswer: -16*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20*2*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434.587 - -429.9. Round u to one dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (34\/(-30) - -1) + ((-4235)\/75)\/(-11). Solve y*h = -5*w - 21 + 16, 0 = 3*h + 4*w + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17526 - -17531. Which is the second biggest value? (a) -113\/3 (b) -4 (c) m (d) 4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 151, 174, 171, 136, 63?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 7, q: 6}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.953517 millimeters in micrometers?\nAnswer: 953.517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/120 + x**5\/60 + x**4\/6 - x**3\/3 + 81*x**2 - 9. What is l(4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 80 = -7*z. Suppose 2*h + 0*h = -52. Let l = z - h. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (1 + sqrt(13) + -2)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 3 + -3 - sqrt(448))*-1 + -4 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4 - 16235\/2)\/(15\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*g**2\/11 - 89058*g\/11 + 2371032\/11.\nAnswer: 2*(g - 27)*(23*g - 43908)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:35 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/41, -0.4, 9 in decreasing order.\nAnswer: 9, 1\/41, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 8*g - 99. Let h be z(13). Solve 4*f = 1 - h for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g + 3. Calculate the remainder when 26 is divided by r(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.30758 decades to years.\nAnswer: 363.0758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17212068\/248 - (-1)\/(-2). Round z to the nearest 1000.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4 - 60*h + 151291*h**2 - 75652*h**2 - 75575*h**2 = 0.\nAnswer: -1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61856 - -0.3\nAnswer: 61856.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, b: 3, u: 4}. What is prob of picking 1 d and 1 u?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 972 and 5292.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 156895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/3 - 7*j - 1. Let y(m) = -16*m. Calculate k(y(x)).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 0*g - g + 2*g + 2*g. Let m(u) = 18*u**2 - 9*u - 430. Let j(l) = l**2 - l - 43. Let n(c) = 10*j(c) - m(c). Determine n(v(b)).\nAnswer: -72*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2389070845 to the power of 1\/3, to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.8, -2\/77, -2290, -0.5?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -58.\nAnswer: 17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/80808 and -121\/10?\nAnswer: 404040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/100*-18*(-65)\/(-78).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -20?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = -z - 43. Suppose -3*p + 4 = 13, -z*y = p - 1. Which is the biggest value? (a) y (b) 5 (c) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398513951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 273909, 273926, 273943, 273960?\nAnswer: 273977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 22*f. Let b(m) = 14*m. Let v(j) = 8*b(j) - 5*k(j). Let u(z) = 13*z. Calculate v(u(o)).\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 45. Suppose -4*x - 41 = 5*w, 0 = 5*w - 0*x + 5*x + c. Let j(y) = -y - 12. Give j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5175 - -12738. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - k + k)*(-1 + 5 + 8)*(-2 + k + 2)*(-2*k + 1 + k + 3) to the form j + l*k**3 + x*k**2 + f*k and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 13) to base 15.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 1 = -8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1568009 + -0.05.\nAnswer: -1568009.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187660 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010010001111 - -1000?\nAnswer: -10010010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39698, 39723, 39764, 39821, 39894, 39983, 40088?\nAnswer: 40209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/53, 10\/27, -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(396) + 4)*1.\nAnswer: -24*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*a = -2*s - 52, 4*a + 66 - 96 = -2*s - 48 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 28256*c + 56485. What is o(-2)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3951)\/(-2) - (77\/7)\/(-22). Suppose -9*h = 10*h - i. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1488 - 853. Let g = a + -316. Let p = g - 318.999999823. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*g**4 - 3*g**2 - 11*g.\nAnswer: -792*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:42 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 89, 256, 541, 974, 1585?\nAnswer: 2404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 2203*a**5\/60 - 439*a**4\/24 + a**3\/2 - 3378*a**2. Find the second derivative of g(t) wrt t.\nAnswer: 4406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2*q**2 - 2*q**2)*(263092 + 3824*q - 263092).\nAnswer: 3824*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:22 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 116232.5 and 0.0231172.\nAnswer: 116232.5231172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/597146 and 63\/382.\nAnswer: 114054886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 5) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, -12, -42, -94, -174, -288, -442, -642?\n\"Answer: -g**3 - 2*g**2 - g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 - 4*z. Suppose 16 = -5*x + x. Let n be r(x). Solve 4*t + 20 = -n*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2105728, 2105729, 2105730?\nAnswer: 2105731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 34. Suppose -5*j - r = -16*j. Suppose -104 + 8 = -j*u. Solve 5*k + 7 = u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83092?\nAnswer: 2, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) 2\/9 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v - 7 + 7)*(0 + v + 0)*(-9 - 11 + 8).\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 16293.05 decades?\nAnswer: 162.9305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-62)\/217)\/(2 - 20\/14). Solve o + 5 = -q for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -7.46.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13521*f**4*w**3 + f**2*w**3 + 399*w**3 - w - 2 wrt f.\nAnswer: -54084*f**3*w**3 + 2*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9334 = 4*o - 1198. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2668 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 4. Let j be w(8). Let a = -10 - j. What is the least common multiple of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/((-12)\/(-120)*(1 + 1)). Let b be 5226\/45 + 6\/c. Find the second derivative of -13*z**3 + b - 116 + 11*z wrt z.\nAnswer: -78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -67 + -28 + 34 + -8\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, 63, 1, 3 in ascending order.\nAnswer: -5, -2, 1, 3, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:59 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1238*g - 315*g - 2005*g - 628*g.\nAnswer: -4186*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*i + 12*i + 87*i - 2)*(-i - 2*i**2 + i**2 + 0*i**2).\nAnswer: -87*i**3 - 85*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*r + 359 - 2 = 0 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 - 4*o + 2. Let g be v(-4). Suppose -2*m - 2*j = 2, g*j = -7 + 1. Suppose a = -a + m. Solve -2 - a = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*b = 261, 477*b - 482*b = 35. Solve 0 = 34*l - 44*l + x for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.5. Let u be 2\/(-6)*(-6)\/4. Let j be 210\/49 - 6\/21. What is the nearest to u in j, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y + 4*y + 0*y)*(-2 - 3 + 4) - 3*y - 7*y + 4*y + (y - 3*y + 4*y)*(-7 + 5 + 6) - y + 2*y - 2*y to f*y + h and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.70693 rounded to 1 dp?\nAnswer: -43.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 66?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 1. Suppose -52 = -p*i - 0*i. Calculate the remainder when i is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*p - 66 + 72 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 + 3*(-58)\/(-2) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 - g**3 - 2*g**3 + (2*g**2 + 0*g**2 - g**2)*(4*g - 6*g + 0*g) + 5*g**3 - 29*g**3 - 4*g**3.\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004183378 to 6 dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-950)\/8))\/((-13)\/(1365\/42)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 255472*h - 58962*h - 154860*h.\nAnswer: -469294*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2109 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (629*k - 357*k - 413*k)*(-2*k**2 + 0 + 0) - k - 2*k**3 + k in the form t*k + m*k**2 + s + v*k**3 and give v.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**3 - 1029*n**2 - 3100*n + 4128 = 0. What is n?\nAnswer: -4, 1, 1032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 9:20 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(4) - sqrt(8)\/(sqrt(12)\/sqrt(6)) - sqrt(4))\/(sqrt(2) + -1*sqrt(98)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0 + 14*v - 1 - 15*v. Suppose 3*a = -0*a + 2*y - 23, -y = a + 1. Is 2 a factor of w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -1247, -2968, -5379, -8480, -12271?\nAnswer: -16752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12300501 rounded to five decimal places?\nAnswer: 0.12301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 458.4 (b) 69 (c) -2 (d) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 + 5070*n - 1154692 = 0. Calculate n.\nAnswer: 253, 2282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 3*h - 4*u - 52 = 2*h, 0 = -52*h + 3*u - 1352 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-140)*(4\/6)\/(-1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -33107.\nAnswer: -3\/33107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 912078 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 88497 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*x - 4*a, -a + 6 = a. Let l = 44 - x. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1401*k*s - 583*k - 132373*s wrt k.\nAnswer: -1401*s - 583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1955663, 7822661, 17600991, 31290653?\n\"Answer: 1955666*z**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a microsecond in nanoseconds?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = s - 6*s - 26, k = 5*s + 23. What is the third derivative of z**k + 0*z**3 - 5*z**3 - 3*z**2 wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/84 and -47\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1418 from -0.35952.\nAnswer: -0.50132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-12))**28\/((c*(c\/c**(5\/4))\/c)\/(c**(4\/9)*c)) assuming c is positive.\nAnswer: c**(-11027\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17264, 34641, 52132, 69737, 87456, 105289?\nAnswer: 123236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -874 - -877. Solve -3 = -2*f + 4*h - 9, -y*h = -9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.211 rounded to 1 decimal place?\nAnswer: 291.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*q**2 - 5 + 753*q**2 - 58*q - 103*q + 11*q wrt q.\nAnswer: 1762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-16))*r\/r**18)\/(r*r\/(r**(-5)\/r))**(28\/9) assuming r is positive.\nAnswer: r**(-233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1564*c - 1073*c - 18658 for c.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*w + 19333900 + 4725584. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/141771882 and -67\/420.\nAnswer: 1417718820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8263561 nanograms in grams?\nAnswer: 0.0000000008263561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1899106 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 8*z**2 - z - 2. Let d be m(-8). Let n be (d\/(-9))\/(4\/6). Let g(w) = -w**3 - 9*w**2 + 25*w + 34. Let f be g(-11). Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**4\/3 + 8572*o**3 - 1073016*o**2 + 44967888*o - 628858944 = 0.\nAnswer: 42, 12732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 15) to base 10.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 11*p**4\/12 + p**3\/6 + p**2\/2 + p. Suppose 0 = -4*a + 3 + 5. Is t(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 239821.5 and -10.\nAnswer: 239811.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)\/s*s*s*s*s*(s\/(s**5*s))\/s*s*s**(2\/3)\/s*s*(s*s\/(s*s**(2\/5)))\/s assuming s is positive.\nAnswer: s**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*d = 1 - 0, 2*k - 5*d - 9 = 0. Let c(p) = p**2 + 9*p + 3. Let b be c(-9). Suppose k*v - 10 = -b*v. Solve v*s + 16 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -519718.058 - -518684. Let f = q + 1033. What is f rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*n**3 - 92*n**2 + 2861*n.\nAnswer: 174*n - 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 56 = -16. Suppose c + 2 = d. Suppose b + 4 = 7. Solve 3*h = -x + 2, -h - c*x = 4*h - b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -m + p - 4, -4*p + 36 = 5*m. Let n be ((-72)\/(-30))\/(27\/240*1). Factor 16*r**2 + 32\/3 - n*r - 16\/3*r**3 + 2\/3*r**m.\nAnswer: 2*(r - 2)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/2 - 3*a**2\/2 + 78*a + 240.\nAnswer: -3*(a - 8)*(a + 4)*(a + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -12*k**3 - 9*k - 9. Let r(i) = -i**3 + 7*i**2 + 9. Let m be r(7). Let h(x) = 11*x - 12 - 3*x**3 - 13*x - 5 + 15. Calculate m*h(c) - 2*u(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -90 - -59. Let v be (-5)\/(5\/(-6)) - (r + 33). Suppose 2*j + 4*t = 8, -v = -j + t - 3. Solve j*a + 4 = 0, -3*y - 4*a = -4 + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -30?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 466 and 5440.\nAnswer: 1267520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 7*r + 5*r)*(4 - 2 + 1 + (-1 - 3 + 6)*(5 - 3 + 0)).\nAnswer: 84*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693484?\nAnswer: 2, 67, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2367 + 23701\/10. What is the common denominator of -9\/10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -48542724?\nAnswer: 48542715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {u: 3, i: 2, q: 8, e: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from dbddbdbdddd?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 381037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43258*t**4 + 571*t**2 + 43260*t**4 + 2934 + 68*t**2 wrt t.\nAnswer: 8*t**3 + 1278*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/5 - 16348*g**2\/5 - 44297218*g\/5 - 7950481312 = 0.\nAnswer: -2927, -2320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/2139 and -49\/27.\nAnswer: 19251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -3.18 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19183?\nAnswer: 19183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - (62\/(-248))\/(1\/54). Let w be (-7)\/(-4) - (-2)\/8. Factor -2 - 1\/2*c**3 - v*c**w - 4*c.\nAnswer: -(c + 1)*(c + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*f**2*k*x - 204*f**2*x**2 + 10*f*k + 23*k*x**2 + 10*k*x - 740*k wrt f.\nAnswer: -18*f*k*x - 408*f*x**2 + 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-1\/18))\/u))**(-1))**(-6\/11) assuming u is positive.\nAnswer: u**(19\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 (base 7) in base 4?\nAnswer: -2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20656 + 25948. Calculate the highest common divisor of 1188 and z.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-5 - -2)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/(-1350) - 2\/(-9). Let g = -11 + 15. What is the nearest to 2\/7 in g, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 5*v. Suppose 22 = 4*f - 2. Determine t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35972078.\nAnswer: 2, 691, 26029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -82735 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10513467.\nAnswer: 3, 71, 16453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 4, q: 2, y: 3, c: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -332052 divided by -2478\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 4}. What is prob of sequence eem?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2. Let t(z) = z**2. Let v(r) = -14*t(r) + 2*w(r). Let b(o) be the third derivative of o**5\/30 - o**2. Calculate b(v(m)).\nAnswer: 32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 25*v + 3443 - 1238 = 0. Which is smaller: v or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 149*u + 1923. Calculate x(-162).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 233 - 155. Let n be -4 + -3 + d\/10. Which is the closest to n? (a) -2\/9 (b) -2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1174\/41 equal to -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123326099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u - 4*u + u)*(-23*u**2 - 33*u**2 + 15*u**2).\nAnswer: 287*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 6*d + 7. Let m = -37 - -30. Let w be z(m). Is w at most 3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123a (base 11) to base 16\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2666*f**2*m - 1906*f**2 + f*m + 26*f - 2*m - 49306 wrt f?\nAnswer: -5332*m - 3812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 101222211?\nAnswer: 101222202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1) + -9 + 8 + -8 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1224.2 - 8856151410.\nAnswer: -8856150185.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 4:52 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jrj when three letters picked without replacement from iljjjjtaljltjlr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s, -4*s - 605 = b - 119. Let m = -455 - b. Calculate the remainder when 103 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2214*o + 2526. What is the tens digit of a(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*w + 5, -2*w = -3*w + 3*m - 15. Suppose h + 3*g = -w*h + 27, 94 = 2*h - 4*g. Suppose -4*c + h = -49. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - -10102031?\nAnswer: 10102121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 2*j + 0*j)*(-163*j + 139 + 134 - 274).\nAnswer: -326*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 5*k**2 - k**2 + 17*k - 4*k.\nAnswer: -6*k**2 + 13*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256614 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: What is 31.0122629 rounded to 3 dps?\nAnswer: 31.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.9573 + 0.0727. Let v = -0.03 + w. What is the closest to 0 in v, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59, 69, 61, 23, -57, -191, -391, -669?\n\"Answer: -2*d**3 + 3*d**2 + 15*d + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 9756419005.\nAnswer: -9756419005.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-16)*(710\/60)\/71.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2. Let j be 6\/(-14) + -248*(-6)\/42. Let w(q) = 15*q - j*q + 13*q. Let o(y) = 20*y. Let l(m) = -6*o(m) - 17*w(m). What is n(l(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59210 and 107915.\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywwrljyp. What is prob of picking 1 p, 1 j, and 1 r?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/7*21*2\/36\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 25748.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15247560.\nAnswer: 2, 3, 5, 61, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + p**3 - 2*p**3 + (793*p**2 - 2067*p**2 + 789*p**2)*(2*p + 0*p - 5*p).\nAnswer: 1457*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -18. Let s = a + -18. Let u = -27.00000021 - s. What is u rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.36 - -0.311. Let f = -0.026 - m. Round f to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 721.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5053*j**2. Let t(v) = v. Calculate t(i(d)).\nAnswer: -5053*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**4 + 27*d**3*y - 99*d**2*y**2 + 3*d*y - 50*y**2 - 15*y wrt d?\nAnswer: 24*d**2 + 162*d*y - 198*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 19*v**2 + 74*v + 98. What is the units digit of o(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 478230 and 570.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211020 - 10011022?\nAnswer: -10222112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2052.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y. Let w be h(0). Suppose 8 = 2*b, 2*d - 8 = -w*b + 2*b. List 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 billions digit of 9330544872?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwjwwajwwisbiwiji. What is prob of picking 1 a, 1 j, 1 s, and 1 w?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-3420)\/(-1236)) - (0 + -7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 1.0146 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 15004901.471 to the nearest one thousand.\nAnswer: 15005000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700)*-2)**2 + 0 - sqrt(1700)) + 6*(2 + sqrt(612) - sqrt(612) - sqrt(17)).\nAnswer: -16*sqrt(17) + 6812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(((-2)\/3)\/(21\/63)). Solve b = 7*z - 4 - 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8197*c**3 + 204924*c**2 + 22*c + 75. Determine b(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 4*b + 4*b. Let o(i) = 4*i - 4*i**2 - 4*i. Determine o(n(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 78618.43m in millimeters?\nAnswer: 78618430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 36) + -1 + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**2. Let x(v) be the third derivative of -v**5\/20 + 7*v**2. Determine x(z(o)).\nAnswer: -75*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 2*n. Let v be q(2). Let k = 668 - 314. Suppose v*l + k = 5*r + 3*l, 5*r = -5*l + 360. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/23, -1606, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 times -45854?\nAnswer: 17057688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 17*r**4\/4 + 14*r + 12. What is the derivative of d(k) wrt k?\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 66*j**2 - 142*j + 817. List the prime factors of f(-64).\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 - 7 - 33*t + 5 in the form b*t + m and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12810546*h**4 + 13200755 wrt h.\nAnswer: 51242184*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2*3\/4)\/(55*6120\/26400)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39356.7ml in litres?\nAnswer: 39.3567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5521828745.\nAnswer: 5, 1104365749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let w be 0\/(1*(0 - 2)). Let q be 4\/2 + w - -1. Let n(s) = s + s - q*s. What is n(f(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3 + sqrt(13)*1)**2.\nAnswer: -6*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + 21*c**2 - 22*c - 300. Let u be i(19). Solve -5*z - 5*f - 25 = 5, -4*z + f = u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428512?\nAnswer: 2, 7, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + 0 - (27 - ((44 - 20) + -27) - 25)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/5 - (-1)\/5 is divided by (-2)\/(-4) - 6\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 1)\/((-4)\/(-10)). Let n be 100\/(-2650) + (-3195)\/15052. Which is the nearest to -1? (a) -0.2 (b) t (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1240049\nAnswer: 1\/1240049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 154 + -159. What is the units digit of 333 + (1 + -1 - v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 23. Suppose -2*z + q = -3*l, 4*l = -6*z + 2*z + 44. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 168, 0, 5 in decreasing order.\nAnswer: 168, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 5*c**3 + c**2 + 135*c - 274. Let u be q(2). Let s(w) = -w**3 - 8*w**2 - 8*w - 3. Let y be s(-7). Solve 33 = -2*x + 6*z - z, u = -5*x + y*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2. Suppose -5*b + 85 = -55. Let u(d) = -26*d**2 + b*d**2 + 12 - 12. Give t(u(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16394005 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (82 - 97) + 9*1. Let h(z) be the third derivative of -11*z**6\/120 + 17*z**5\/60 + z**2. Let g(i) = 2*i**3 - 3*i**2. Give l*h(w) - 34*g(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 1}. What is prob of picking 2 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/7 - 10400633*n\/7 - 10400626 = 0. Calculate n.\nAnswer: -10400626, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10\/(s*s\/(s**(1\/5)*s*s))*((s*s\/(s*s**(1\/15)\/s*s))\/s)\/(s**(-1\/5)*s))**31 assuming s is positive.\nAnswer: s**(868\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 1072.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/44*(-4)\/(-3). Put s, -2, 0.05 in descending order.\nAnswer: 0.05, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46*-0.99\nAnswer: 45.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + 2 + sqrt(448))**2.\nAnswer: 128*sqrt(7) + 928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 2*d**2 - 5*d + 3. Let k be m(3). Let c be (-17)\/k + 5\/15. Solve 0 = c*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8 - 151879327744.\nAnswer: -151879327743.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 4*h**2 + 5*h + 2. Let d be u(-5). Let t(f) = -d + 2 - f. Let s(x) = -193679873*x + 193679873*x - 8*x**2. Calculate t(s(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 3*k + 3*c + 129 = 0, -4*c + 84 = 4*k. Suppose -4*r - 4*t = -k, 2*r + 3*t = -0*r + 10. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76335*x - 76384*x - 306 - 1605 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423159.\nAnswer: 3, 11, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2035 (base 7) to base 4.\nAnswer: -23020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1092, -1076, -1042, -984, -896, -772, -606, -392?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/1 + (-2 - -3 - 4). Suppose -y = -5*s + z - 0*z, -3*z - 6 = -3*s. Suppose 0*c = 5*c - 4*w + 22, 2*c + 10 = 2*w. Put -5, s, c, -4 in ascending order.\nAnswer: -5, -4, c, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-24)*(1 - 3). Let s = -14.6 + 14. Do s and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -573\nAnswer: 1\/573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92915 rounded to the nearest 1000?\nAnswer: 93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + -5. What is the tens digit of (-89)\/4*(m + 3\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72764187 to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*g + 102, -2*t + 0*t + 46 = 4*g. 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: Product of -5 and 0.14.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566*f - 1960 = -574*f. What is the remainder when f is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 - (-2 + 11 + 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88))\/sqrt(4) + sqrt(22) - sqrt(44)\/(1*sqrt(2)))\/(sqrt(128)*-1*3).\nAnswer: -sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1069 and 79?\nAnswer: 84451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 6*j**2 + 3*j + 8. Suppose 41*k - 31*k = 200. What is the lowest common multiple of k and a(6)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*o + 25, 0 = -o - 0*o - 2*f + 10. Suppose o = -0*g - g - 4. Let c be 80\/12 - g\/(-6). Is c > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 14 + 2 = 0. Is (7\/t)\/1*-8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -26. Suppose t = 5*b - 3*b. Let m(o) = -o**2 + 6*o + 1. What is the remainder when 16 is divided by m(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/4)*m**(-6\/11)\/m)\/(m*m**(-1\/3)*m)**29)**(1\/47))**48 assuming m is positive.\nAnswer: m**(-26204\/517)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 + 12*o**2 + 3*o - 6. Let p(q) = 4*q**3 - 12*q**2 - 4*q + 7. Let g(y) = 2*p(y) + 3*s(y). What is the least common multiple of 10 and g(12)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1 - 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Suppose -i*h - 4 = h. Calculate the remainder when 22\/3 - h\/(-3) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -38. What is the remainder when 51 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 + -214. Let f be ((-4)\/n - -1)\/(10\/(-30)). Which is smaller: f or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10132 - -15640. Which is smaller: y or 5507?\nAnswer: 5507","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 670, 1, 21 in descending order.\nAnswer: 670, 21, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 4*k**2 - 4*k - 1. Let c be i(-3). Let a(p) = 3 - 3 - 3*p - c - p. Is a(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50947 + 221553. What is t rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 90. Let a = -52 + g. Let p = 42 + a. Calculate the smallest common multiple of 16 and p.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in n**4\/3 + 8*n**3 + 85*n**2\/3 + 34*n + 40\/3 = 0?\nAnswer: -20, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l - 2*l - 1 - l. Let w be i(-1). Solve 0 = -5*h + w*h + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -70623 + 120286. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 13. Suppose 7*l - 11*l = -t. Let x = 99\/4 - 25. Which is the third biggest value? (a) l (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b\/b**(-3))\/b))\/(b\/b**11))**(11\/2)*b**(-2\/19)*b**(-2\/13)*b*(b\/(b*b**(1\/3)))**(-48) assuming b is positive.\nAnswer: b**(27289\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -221, -318, -397, -452, -477, -466?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2 - 2. Let p(v) be the second derivative of v**4\/6 - 77*v + 2. Calculate a(p(w)).\nAnswer: 36*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, 125745\/31, -4?\nAnswer: 125745\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 281 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 95 + -94.7. What is the nearest to -0.4 in 1, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.034, 7.02, -3, 5\/4 in descending order.\nAnswer: 7.02, 5\/4, 0.034, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -2*d - 1\/20*d**5 - 2*d**2 + 0*d**3 + 1\/3*d**4 + 1. Let c(j) be the first derivative of z(j). Give c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (418\/(-57) - -7)\/(1\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 30*o. Let h(j) = 48*j. Let b(a) = 3*h(a) - 5*t(a). Let v(c) = -8*c + 2. Calculate v(b(s)).\nAnswer: 48*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/8 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1486321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 388916057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3367868?\nAnswer: 2, 7, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-36)*(-15)\/(-10).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 8*c + 1. Let x be p(8). Let h = -0.035 - 0.065. Let w be (16\/30)\/(2\/3). What is the second biggest value in x, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3 + 7. Suppose -3*d - 49 = 32. Let q(y) = y**2 + 27*y + 4. Let u be q(d). Solve h + z = -u*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31265802, 31265805, 31265808, 31265811, 31265814, 31265817?\nAnswer: 31265820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16482710?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 12*l - 10. Suppose -265 = 31*j - 17. Calculate p(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (42\/(-504))\/((-2)\/6). Which is bigger: i or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (4\/15 - 12040\/(-3225))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 1061*u - 1. Let j(q) = 13*q**2 - 2122*q - 2. Give -7*c(g) + 3*j(g).\nAnswer: -3*g**2 + 1061*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1843064939 to the power of 1\/2, to the nearest integer?\nAnswer: 42931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90842 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 281*(-1 + 4 + -4). Let k be p*(-59)\/(-2030) + -1*3. Let m = 27\/203 - k. What is the common denominator of -54\/11 and m?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 747048377 from -1.2.\nAnswer: -747048378.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 - 20*t**2 + 1837*t - 22716. Determine w(12).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99) + 1)**2 + 3)*4*-3 + -1.\nAnswer: 144*sqrt(11) + 2363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z - 10. Determine k(23).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 1.64, 2\/15, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -566461131*i**6 - 286118427*i**2.\nAnswer: -67975335720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1684 + 1692. What is the greatest common factor of w and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -12*o + 167. Calculate the lowest common multiple of o and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 0*q - 12 = 0. Let w = q - 0. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010188 to 6 decimal places.\nAnswer: -0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15199699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61\/2 of a tonne?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 273626 = -1279*l + 299206 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 1, -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 41*o**3\/3 - o**2\/2 + o + 638. Calculate d(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2148 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413881?\nAnswer: 13, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -8573\/59 < -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0)**(20\/3)*m**(-4\/5)*m\/((m\/(m\/(m\/m**(-2\/17))*m))\/m))\/(m**(2\/7)*m\/m**(-1\/16))**7 assuming m is positive.\nAnswer: m**(-11363\/1360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16014, -36616, -57218, -77820?\nAnswer: -98422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 9*j - 15. Let i(b) = -3*b + 36. What are the prime factors of i(j)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82725903283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*-4 + 5 + 0)**2.\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n. Let u(f) = 4*f + 2. Let x(s) = -4*s - 3. Let z(i) = -4*u(i) - 3*x(i). Let b(a) = -9*l(a) - 2*z(a). What is the derivative of b(k) wrt k?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 1444*j - 71280.\nAnswer: 4*(j - 405)*(j + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 96354, 192686, 289018, 385350?\n\"Answer: 96332*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -4752*m + 47328. Determine s(10).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63653046, 254612193, 572877438, 1018448781?\nAnswer: 1591326222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 1\/2*g**3 + 2*g**2 + 10*g - 1\/6*g**4 + 0. Give j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 - 30200123332?\nAnswer: -30200130122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5956748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/15 (b) 2 (c) 0.0231 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7185088, 14370167, 21555246, 28740325, 35925404, 43110483?\n\"Answer: 7185079*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, -84\/31 in ascending order.\nAnswer: -84\/31, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1913 - -317. Suppose -5*u + 79 = -4*y + 2*y, u + 4*y = 29. Let f(k) = u*k - b + 2230. Let z(s) = 3*s. Calculate z(f(p)).\nAnswer: 51*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/60 - d**4\/24 + d**3\/3 - d**2. Let h be m(0). Let q(b) = -b**h + 4*b**2 - b**2. Let n(x) = -2*x. Determine q(n(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 + 7*l**2 - 12*l - 6. Let s(z) = -4*z**3 + 8*z**2 - 13*z - 7. Let f(c) = -5*o(c) + 4*s(c). What is the remainder when f(-5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 21*m - 3. Let f be w(-21). Let q be (-1)\/(39\/18*3). Which is the third smallest value? (a) f (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-1 + 2))\/((-2)\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13132.9 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 102*b + 2068. What is l(44)?\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*o**2 - 26 + 26 + 0*o**2.\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**6\/450 - m**5\/150 + 9*m**3\/2 - 6*m**2 - 5*m. Let d(n) be the first derivative of g(n). Solve d(h) = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 15 = t + 143, -4*t = 5*l - 160. Suppose 3*o + v = 40, l = -o + 3*o + 2*v. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4 + -3 + (sqrt(1377) + sqrt(1377)*-1 - sqrt(1377)) - (sqrt(1377)*1 + 3 + -1*sqrt(1377) + 1))*5 + 3)**2.\nAnswer: 990*sqrt(17) + 34546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) + (-6)\/(-4). Suppose o + 4*v - 19 = 0, -3*o - 9 - a = -5*v. What is the first derivative of 9*n**3 + 3 - 2 - 6*n**o wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/9 - 424780*q\/9 + 6232688\/3.\nAnswer: -4*(q - 44)*(q + 106239)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/27 - 4\/3 - -4. Suppose -6 = o*i - 10. Let a(m) = -19499993*m - 7. Let t be a(i). Round t to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1086*w - 11922. Give y(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -822\nAnswer: 1\/822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 9*g + 92 = 0, -33*h + 12*g - 12 = -31*h + 11*g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 20 = -5*u. Suppose -w = 2*i - 16, 4*w - u*i - 33 = -8. Let m be ((-120)\/18)\/((-3)\/((-9)\/(-2))). What is the greatest common divisor of w and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 71*z - 62*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 0.2 (b) 0.9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/3))**(4\/7)*((z**0*z)\/z)**(-3)*((z\/(z\/(z*z**(2\/15)*z)))\/z**(-2\/3))\/(z\/z**(-1))**(-16) assuming z is positive.\nAnswer: z**(3734\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o + g - 22, 3*o = -2*g + 19. Suppose 0*w = -o*b + 3*w + 167, -5*b - 4*w = -174. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5560*s + 11118. Give v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 175 + -178.02. Let n = 0.02 + o. Which is the nearest to -1? (a) n (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4789023831 and -2.5.\nAnswer: -4789023833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 12:22 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 24*a**2 - 46*a - 44. Calculate u(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2132 = -2*s - 3*w, -4*w + w + 6 = 0. Let y be (52 - (-3 + 1))*s. Let q be y\/7 + (-6)\/21. Round q to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 12:02 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -17. Let g(b) = -13*b**2 - 3*b - 18. Let d(p) = -6*p**2 - p - 9. Let s(u) = v*g(u) - 9*d(u). Is s(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -255 times 0.5\nAnswer: -127.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Suppose -5*o + 2*o - v + 5 = 0, -5*v - s = 0. Let x(f) = -4*f**3 + 160*f**2 + 171*f - 285. What is the remainder when o is divided by x(41)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*n + 179, -51 = -n - 0*f - f. Suppose -y + 5 + 1 = o, -5*o + n = y. Suppose 7*j - o*j = -5*j. Solve j*s - 4 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 156 + 1619. Let b = j - -135. Solve -2*g + 10 = b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27.8399 and -0.1.\nAnswer: -2.78399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2 + 20\/32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -1075, -3588, -8463, -16486, -28443, -45120, -67303?\nAnswer: -95778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**3\/11 - 692*m**2 + 6098*m\/11 + 1524\/11 = 0 for m.\nAnswer: -762, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425348 is divided by 6368.\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 10 + 34. Let b = 85 - s. Suppose 176 = 2*w + 2*g, w - 9 - b = 3*g. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l - 3. Let t(g) = -2*g**3 + 5*g - 4. Let y(d) = 4*s(d) - 3*t(d). Find the second derivative of y(x) wrt x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -143, -222, -333, -476, -651, -858?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911 is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**4 - 5*h**4 + 3*h**4 + (-3*h**3 - 2*h**3 + 3*h**3)*(-h - 2*h + 5*h) + 1 + h**4 - 1 - 57 + 57 - 30*h**4.\nAnswer: -31*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181*b*c + b*h - 11*c*h - 2*h wrt h.\nAnswer: b - 11*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 + 9*j - 81. Let r be n(-12). What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3637 + -952. Is 59 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjj. Give prob of sequence jjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.63 + -36.63. Let a be ((-2)\/(-3))\/((-2)\/(-3)). What is the second biggest value in 0.5, -0.4, a, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13442 divided by 1.\nAnswer: -13442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2601210386 + 2601210381 + 2*q - 5202420767.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}